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The enclosed math materials and books are available

through ESA, Region 2. Materials can be borrowed for up to four weeks at no charge. To request materials

contact the ESA, 367-7680, [email protected].

Additional materials are available in other subjects, and for professional development workshops. We are in the

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Algebra with the TI-83 plus video series Six part EXPLORATIONS Video series includes units on core algebra concepts including: Algebraic Expressions and Operations – Relations and Functions - Equations and

Inequalities - Statistics Systems of Equations and Inequalities - Geometry and Trigonometry. Taught by instructors Ellen Hook and Milton Norman who together have over 40 years of experience and have used technology in their classrooms for over 10 years. You'll see Ellen and Norm interact with students - perform experiments - and explore algebra just like they do in class. Comes with Getting Started with TI-83 Plus - CBL 2 and CBR and a full CD of additional resources. TI Algebra video- includes units on core algebra concepts including:

Algebraic expressions and operations relations and functions equations and Inequalities statistics systems of equations and inequalities geometry and trigonometry.

Math Monsters Math Monsters™ is a beautifully animated public television series that is designed to help students, ages 3-7, learn mathematics at home and in the classroom. The series was produced in cooperation with The National Council of Teachers of Mathematics to meet and support their newly released national standards for K-2 math instruction. The series is comprised of twelve 15-

minute episodes and is accompanied buy a 128-page parent/teacher's guide. The episode titles are:

1. Data Collection 2. Measurement 3. Number Conservation 4. The Making of Tens 5. Geometry 6. Doubles and Their Neighbors 7. Mapping 8. Time 9. Patterns 10. Counting and Symbolizing 11. Computers 12. Parent/Teacher's Utilization Tape

The Math Monsters series is an entertaining gateway to in-depth mathematical thinking and reasoning involving meaningful real world problems. It is an educational opportunity for parents, teachers and students. Parents and teachers will become familiar with the recently updated NCTM national standards and practices that fuel the curiosity of young mathematicians. Young students who are beginning to develop their own understanding of mathematical concepts can find support and comfort in the humorous and questioning approach the Monsters use to solve their mathematical problems.

Principles and Standards for School Mathematics: Vision to Reality (Video) This informative video gives a quick peek at what Principles and Standards looks like in the classroom. It explores the major mathematics themes in each of the four grade bands of Principles and Standards and contains footage of actual teachers implementing the lessons that illustrate key points in the document. Interviews with the mathematics educators who wrote and developed the Principles and Standards document are featured.

Plastic Venn rings (set of 6) These folding plastic rings make a great sorting tool for students of all ages. Hinged for easy storage.

Venn Diagram and Graphing Mat (4 available) Introduce students to Venn Diagrams with this durable, two-sided mat! Heavy-duty, 24" x 72" vinyl mat has a pair of Venn diagrams for set work on one side and a 4 x 12 grid for graphing on the reverse.

Graphing Mat (2 available) Turn graphing activities into effective class demonstrations, using everyday objects! Turn graphing into a class activity with everyday objects and these double-sided floor mats. Durable vinyl mats are

perfect for graphing, classifications, and comparisons. Set includes the three mats listed below. The graphing mat has a durable vinyl mat displays a bright blue 3 x 10 grid on one side and a 4 x 12 array on the reverse. Perfect for classification, comparison, and Mathematics Their Way activities. 24" x 72".

Overhead Hundred Boards (1 set) Here are three different boards for your classroom overhead activities, each with different

markings! Three different 8 1/4"-square boards for overhead activities are marked 0–99, 1–100, and blank. Overhead Color Tiles (3 sets of 52) Bring alive your class demonstrations with this selection of tiles in bright colors!

• Perfect for modeling important math concepts to develop basic arithmetic skills, logical thinking, and algebraic and geometric understanding

• Useful for activities in patterning, counting, sorting, measuring, probability, fractions, estimation, and

place value

Overhead Attribute Blocks (3 sets of 36) A variety of shapes in a range of sizes for your classroom projector! Features large and small hexagons, squares, rectangles, circles, isosceles

right triangles, and equilateral triangles in three colors.

Overhead Pattern Blocks (3 sets) Combine your classroom overhead with the power of Pattern Blocks! This

transparent set matches the actual colors and sizes of Pattern Blocks. Overhead Color Squares (2 sets) Brightly colored squares that work in conjunction with other overhead materials! Set of 3/4" squares for overhead projector activities with PopCubes, MathLink® Cubes, or Multilink® Cubes. Five each of 10 colors. Set of 50.

Overhead Two-Color Counters (3 sets) 25 red and 25 yellow counters.

Dice

Overhead dot dice (2 sets of 2) Clear plastic 12-sided Dice roll like traditional cubes. Use them on the overhead to stimulate whole-class participation. Each set includes two dice.

Overhead number dice (2 sets of 2) Clear plastic 12-sided Dice roll like traditional cubes. Use them on the overhead to stimulate whole-class participation. Each set includes two dice.

Dot Dice Set (2 sets of 36) Two pairs each in red, green, and white. Dice for math and probability activities.

Overhead Operation Tiles (2 sets of 32 tiles) Display arithmetic operations with your overhead projector and these tiles! Set includes four each of the following signs +, -, x, ÷, ), +, >, and two each of the decimal point and not equal signs.

The Educator Basic Overhead Calculator (1 available) Keyboard layout and features emulate the TI-108 Calculator

Principles and Standards for School Mathematics and related books

Principles and Standards for School Mathematics (Book & E-Standards CD) This important tool for teachers and education professionals updates the messages of NCTM's previous Standards and shows how students' learning should grow across four grade bands–pre-K–2, 3–5, 6–8, and 9–12. It incorporates a

clear set of principles and a sharper focus on how students' knowledge grows as shown by recent research. It also includes ways to incorporate the use of technology to make mathematics instruction relevant and effective in a technological world. The accompanying CD offers a searchable hypertext edition of Principles and Standards, which includes the full text of the printed volume along with interactive math tools that support the vision of the Standards. The CD also contains a version of the Illuminations Web site, which includes hundreds of lessons, interactive tools, and reviewed Web sites that support Principles and Standards and the three previous Standards documents. Principles and Standards for School Mathematics: An Overview This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.

Principles and Standards for School Mathematics: Vision to Reality (Video) This informative video gives a quick peek at what Principles and Standards looks like in the classroom. It explores the major mathematics themes in each of the four grade bands of Principles and Standards and contains footage of actual teachers implementing the lessons that illustrate key points in the document. Interviews with the mathematics educators who wrote and developed the Principles and Standards document are featured. Answers to Frequently Asked Questions about Principles and Standards for School Mathematics Principles and Standards for School Mathematics makes recommendations about what mathematics students should learn, what classroom practice should be like, and what guidelines can be used to evaluate the effectiveness of mathematics programs. It provides a vision for mathematics education built on high achievement for all students in the classroom. To help teachers, parents, administrators, and others better understand Principles and Standards, NCTM has compiled a document containing answers to frequently asked questions such as the following: What are the basic messages of Principles and Standards? Is Principles and Standards a curriculum? What are the Principles and the Standards? Does Principles and Standards support teaching the "basics"? How can administrators make the vision set forth in Principles and Standards a reality in their schools?

A Research Companion to Principles and Standards for School Mathematics This useful companion to Principles and Standards is for anyone seeking to explore the underpinnings of that document in the scholarly literature. It synthesizes a sizeable portion of the

professional literature to lend valuable insight into current thinking about school mathematics and presents a comprehensive analysis of what research should be expected to do in setting standards for school mathematics. Administrator's Guide: How to Support and Improve Mathematics Education in Your School The importance of mathematical literacy for all students, both in everyday life and in the workplace, has never been greater. Realizing the vision of high-quality mathematics education for all students, as described in NCTM's Principles and Standards for School Mathematics, requires the active participation of everyone in the education community, including administrators. This booklet describes what administrators need to know about mathematics education and what they can do to support and improve mathematics education in their schools. Principles and Standards for School Mathematics: Outreach CD, 2nd ed. This CD contains a variety of PowerPoint® presentations, handouts, and video clips–all designed to enable you to speak to teachers, parents, administrators, and the wider community about the messages of Principles and Standards. New resources such as updated slides, materials for an administrator's workshop, printable handouts, links to electronic examples for each grade band, and speaker notes are also included.

A Family's Guide: Fostering Your Child's Success in School Mathematics Family members play an important role in their children's attitudes toward, and success with, mathematics. This award-winning guide summarizes what today's mathematics classroom is like, offers tips on how family members can help their children have a positive attitu de and enjoy mathematics, and presents practical ways to discuss and do math at home together during everyday situations. Ideas are presented from the elementary and prekindergarten years all the way through high school. The guide is a great resource for family members or teachers and administrators who want ideas to share with family members during events such as Parent Teacher or Family Math Nights. Reproducible take-home pages addressing questions commonly asked by family members are also included and can be used by teachers and administrators who want to send information home to family members.

Navigations—Steering through Principles and Standards Principles and Standards outlines the big picture. Your road map to making that vision a reality will come in the form of Navigations, a book series designed to give teachers and others ideas, activities, and materials to support the implementation of Principles and Standards for School Mathematics.

Each book includes a companion CD-ROM that features electronic examples related to concepts developed in the book, additional resources such as selected articles from other sources, and much more.

Navigating through Algebra in PreK–Grade 2 This book demonstrates how some of the fundamental ideas of algebra can be introduced, developed, and extended. It focuses on repeating and growing patterns, introduces the concepts of variable and equality, and examines relations and functions. Its activities are designed to capture the interest of small children as they investigate growing patterns, use pictures of dogs with varying numbers of spots to solve for missing addends, and use spinners to identify and explore functions.

Navigating through Data Analysis and Probability in PreK–Grade 2 This book demonstrates how some fundamental ideas about data analysis and probability can be introduced to build a strong foundation in young students. Activities designed to introduce and promote familiarity with essential concepts develop and extend students' ideas about data analysis and simple probability through the use of bar graphs, tallies, frequency tables, and Venn diagrams. Helpful margin notes provide teaching tips, anticipated student responses to questions, samples of students' work, and ways to modify the activities for students experiencing difficulty or needing enrichment.

Navigating through Geometry PreK–Grade 2 Focusing on the important ideas of geometry, this book shows how to investigate two- and three-dimensional shapes with very young students. It introduces methods to describe location and position, explores simple transformations, and addresses visualization, spatial reasoning, and the building and drawing of constructions. Activities in each chapter pose questions that stimulate students to think more deeply about mathematical ideas. The CD-ROM features fourteen articles from NCTM publications.

Navigating through Measurement in PreK–Grade 2 This book introduces young children to the basic ideas of comparing and ordering lengths, weights, time, and capacities. Engaging hands-on activities develop these ideas, along with the concept of units of measure and the use of measurement tools. The investigations follow children's natural progression from using many copies of a unit to iterating the unit to using a tool that iterates the unit. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Number and Operations in PreK–Grade 2 (with CD-ROM) Children in prekindergarten focus on counting and gradually master the essential one-to-one matching of an object to a number. By the end of second grade, they can represent one-, two-, and three-digit numbers, understand simple fractions, and apply a variety of facts and strategies to add and subtract skillfully. Investigations in this book support this progression by inviting students to count and order ducklings in a line, compute the total cost of several items on a menu, and play a variety of games that reinforce their understanding of number, addition, and subtraction. Problems in story form develop students' listening skills and immerse them in real-world mathematics.

Navigating through Problem Solving and Reasoning in Prekindergarten–Kindergarten The investigations for prekindergarten and kindergarten contained in this book engage students in such activities as creating story problems about teddy bears, examining patterns of fire trucks and firefighters' hats, and making glyphs to represent data about children in the class. Students apply mathematical ideas from the five main content areas–number, algebra, geometry, measurement, and data analysis. As they work, they infer, generalize, reason by analogy, recognize relationships, and make representations, and they also guess, check, and revise and verify their results.

Navigating through Problem Solving and Reasoning in Grade 1 The explorations in this book include such tasks as supplying missing numbers in story problems, using clues to identify locations on a map, and placing shapes inside or outside a circle according to a rule. Students apply mathematical ideas from the five main content areas–number, algebra, geometry, measurement, and data analysis. As they work, they infer, generalize, reason by analogy, recognize relationships, and make representations, and they also guess, check, and revise and verify their results.

Navigating through Problem Solving and Reasoning in Grade 2 The explorations in this book include such tasks as determining the coins in piggy banks, matching two-dimensional shapes with three-dimensional solids, and organizing data about hats in tree diagrams. Students apply mathematical ideas from the five main content areas–number, algebra, geometry, measurement, and data analysis. As they work, they infer, generalize, reason by analogy, recognize relationships, and make representations, and they also guess, check, and revise and verify their results.

Pattern Blocks ManipuLite® (2 sets) Multicolored, multishaped blocks that form amazing patterns! Each set includes:

• 250 colorful blocks in six shapes and colors: 25 each of hexagons and squares; 50 each of trapezoids, triangles, parallelograms, and rhombi

• A Learning About …® Pattern Blocks Activity Guide

Giant ManipuLite® Floor Pattern Blocks (3 sets) Discover the worlds of symmetry and congruence with these huge floor blocks! Oversized version of Pattern

Blocks enables students to quietly make big discoveries of geometry concepts like symmetry, congruence, tessellations, linear and area measurements, and much more. Set includes 49 soft ManipuLite Blocks with 4" sides (except the long side of the trapezoid, which is 8"). Pattern Blocks Stamps (3 sets) Innovative design helps students identify and position images! The base of each stamp is the actual shape and color of its corresponding Pattern Block, which makes it easier to correctly position and identify the images. Set of 6.

GeoReflector™ Mirror (1 set of 30) Unique, durable mirror is the ideal tool to explore reflection, congruence, and symmetry! Explore reflections, congruence, and symmetry in the GeoReflector’s special

reflective surface. Made of colorful, durable, transparent plastic, the GeoReflector Mirror measures 3-3/4" x 5-3/4". A Learning About...GeoReflectors Activity Guide is included. Grades 1-6. Relational GeoSolids (2 sets) Turn up the volume on geometry studies with Relational GeoSolids! The perfect tool for demonstrating the relationships between shape, size, and volume. Fourteen clear-plastic Geometric Solids feature a color-coded footprint to illustrate the connection between two- and three-dimensions. The hollow, size-related spheres, cones, cubes, rectangles, cylinders, pyramids, and polyhedra all have removable stoppers, allowing you to graphically demonstrate volume and size relationships between objects by filling them with sand, rice, or dry filler material below. Includes a Learning About...® Relational GeoSolids Activity Guide.

Folding Geometric Shapes (2 sets)

Teach symmetry, perimeter, area, surface area and volume with this innovative folding geometric shape set. Each shape folds flat, making it possible to illustrate a 3-dimensional shape’s 2-dimensional properties. Includes

cylinder, square pyramid, cube, rectangular prism, cone, hexagonal prism, triangular pyramid and triangular prism with clear plastic casings. Grades 2+.

NASCO Geoboard Math Kit - Grades K-3 (2 kits) Students learn about area, perimeter, shape, and symmetry with these geoboard kits. Each kit includes 24 plastic rainbow geoboards (5"); a 6" square, 5 x 5 array overhead geoboard; 1/4 lb. of rubber bands in assorted sizes and colors; activity cards (150 cards for grades K-3, 120 cards for grades 4-6); and a 64-page, reproducible geoboard activity book.

NASCO Geoboard Math Kit Grades 4-8 (2 kits) Students learn about area, perimeter, shape, and symmetry with these geoboard kits. Each kit includes 24 plastic rainbow

geoboards (5"); a 6" square, 5 x 5 array overhead geoboard; 1/4 lb. of rubber bands in assorted sizes and colors; activity cards (150 cards for grades K-3, 120 cards for grades 4-6); and a 64-page, reproducible geoboard activity book.

Giant Foam Dice Large, soft dice make probability activities a truly hands-on experience! Quiet, easy-to-handle, 5" Foam Dice for number games, math exercises, and probability experiments.

5" Foam Operations Dice (4 available) 5" Foam Dot Dice (4 available) 5" Foam Numeral Dice (4 available)

Two-Color Counters ManipuLite® (3 sets) Soft, durable, multicolored counters build counting skills--without noise! One-inch diameter ManipuLite counters with one red side and one yellow. These durable and colorful counters will help build

your students counting skills! Tangrams ManipuLite® (2 sets of 28) Explore shapes, patterns, and the properties of polygons with Tangrams! Tangrams are an excellent tool for spatial problem solving. Seven-piece puzzles in red, blue, yellow, and green. Twenty-eight sets of soft, quiet Tangrams and a Learning About… Tangrams Activity Guide. Assorted colors: red, blue, green and yellow

Giant ManipuLite® Floor Tangrams (2 sets of 4) Huge set is the perfect way to promote shape-recognition skills in the primary grades! This extra-large set of ManipuLite Tangrams makes it easy to involve your whole

class in pattern design, shape recognition, spatial awareness, and congruence and similarity activities. Perfect for primary students, the seven soft ManipuLite pieces fit together to form a large 12" x 12" square. Set includes a seven-piece puzzle in one of four colors and an Activity Guide.

Tangram Treasury Classroom Kits Get an entire class exploring geometric patterns, problem solving, measurement, and more! Kit includes 28 Sets of ManipuLite® Tangrams, an Overhead Tangram

Set, a Tangrams Template, and a Tangram Treasury Book. Tangram Treasury Kit A (one kit available) Includes Tangram Treasury Book A. Grades 1–4. Tangram Treasury Kit B (one kit available) Includes Tangram Treasury Book B. Grades 3–6.

Color Tiles ManipuLite® (2 sets) Let these brightly colored tiles help your students develop number sense!

• Perfect for modeling important math concepts to develop basic arithmetic skills, logical thinking, and algebraic and geometric understanding

• Useful for activities in patterning, counting, sorting, measuring, probability, fractions, estimation, and place value

• Sets contain 400 one-inch Color Tiles and a Learning About…® Color Tiles Activity Guide.

Unifix® Cubes (2 sets) Colorful, interlocking cubes: an ideal way to demonstrate number relationships, measurement concepts, and much more! Facilitate activities that illustrate number relationships, measurement concepts, place value properties, and spatial geometry with these interlocking 3/4" cubes. Brightly colored, plastic cubes come in 10 colors—red, dark blue, light blue, yellow, green, orange, maroon, brown, black, and white. Grades PreK-6. ManipuLite® Desktop Attribute Blocks (3 sets) Sets have 60 pieces in five shapes, three colors, two sizes, and two thicknesses. Largest piece is 30 cm2; smallest, 10 cm2. Packaged in a VersaTote® Storage Container. Jumbo ManipuLite Attribute Blocks (2 sets) Sixty large, plastic blocks are easy for young children to hold and excellent for teacher demonstrations. Pieces range from 75 cm2 to 25 cm2 in size. Packaged in a VersaTote® Storage Container. Base Ten Blocks (10 sets) The preferred manipulative for teaching place value, number concepts, operations, and measurement! Perfect for introducing Base Ten concepts to small groups. Each set includes 100 Units, 50 Rods, 10 Flats, 1 Cube, the 96-page book Base Ten Blocks Activities, and a Learning About… Base Ten Blocks Activity Guide, packaged in a VersaTote Storage Container.



Navigating through Algebra in Grades 3–5

The important ideas of algebra, including patterns, variables, equations, and functions, are the focus of this book. Student activities that introduce and promote familiarity with these ideas include constructing growing patterns using isosceles triangles, analyzing situations with constant or varying rates of change, and observing and representing various patterns in an array. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Geometry in Grades 3–5

The "big ideas" of geometry–shape, location, transformations, and spatial visualization–are the focus of this book. Sequential activities will enrich the curriculum and help students develop a strong sense of geometric concepts and relationships, leading them to experience the joy and wonder of geometry and other mathematics. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Measurement in Grades 3–5

This book follows students' natural progression from measuring with informal or nonstandard units to using standard units to measure such attributes as length, weight, angle, and temperature. Activities extend students' learning to the measurement of two- and three-dimensional objects. Students work in a variety of lively real-world contexts, gathering measurement benchmarks in a classroom scavenger hunt and investigating the area of a rectangle while acting as owners of a sticker factory, for example. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Data Analysis and Probability in Grades 3–5

Investigations involving data give students opportunities to depict the shape of data sets and use statistical characteristics of the data to describe similarities and differences among related sets. An assortment of discussions, activities, and investigations emphasize the collection and analysis of data and develop the idea of probability as a measure of the likelihood of events that are meaningful and real to students. The accompanying CD-ROM features applets for students to manipulate and resources for teachers' professional development. It also features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Problem Solving and Reasoning in Grade 4

This book features investigations in each of the five content areas of Principles and Standards for School Mathematics. In addition to using Eratosthenes' sieve to identify prime numbers, fourth graders evaluate algebraic relationships in contracts between theater owners and movie distributors. They consider geometric possibilities for rectangular puzzles, convert surprising real-world measures into equivalent but more comprehensible measures, and examine tables and graphs to extrapolate missing data. As they work, they infer, generalize, reason by analogy, recognize relationships, and make representations, and they also guess, check, and revise and verify their results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Problem Solving and Reasoning in Grade 3

Through the investigations in this book, children reason about place value by making and using pedometers, understand related changes in two quantities by exploring parade formations of thirty-six marchers, and analyze data by devising rules for earning reading certificates. Students apply mathematical ideas from the five main content areas–number, algebra, geometry, measurement, and data analysis. As they work, they infer, generalize, reason by analogy, recognize relationships, and make representations, and they also guess, check, and revise and verify their results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.



Navigating through Algebra in Grades 6–8 This book shows how middle school students can use mathematical models and represent and analyze mathematical situations and structures to explore the concept of function. The activities and problems require students to use representations related to work with functions, and they highlight some of the interactions that may occur among these representations. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers. Navigating through Data Analysis in Grades 6–8

An understanding of data analysis is essential to the mathematics education of informed citizens. This book illustrates the general notion of statistics as a process while prompting discussions of increasingly complex mathematical issues. It extends and deepens students' knowledge of data analysis, introduces the comparison of data sets with equal and unequal numbers of elements, and presents the analysis of data involving two variables. Using technology with the book's activities can assist students in becoming proficient at "interrogating" data. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.


This book examines the study of geometry in the middle grades as a pivotal point in the mathematical learning of students and emphasizes the geometric thinking that can develop in grades 6–8 as a result of hands-on exploration. An essay on the accompanying CD-ROM describes the van Hiele framework and how it can help improve teaching strategies and assessment. The supplemental CD-ROM also features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.


Real-world investigations can move students in the middle grades from their earlier, informal understanding of measurement to the abstract, sophisticated understanding they will need in high school. This book provides hands-on activities that build important strategies and concepts. Students learn about accuracy and estimation, and they develop formulas for the perimeter, area, and volume of two- and three-dimensional figures. In exploring proportionality, scaling, and similarity, they build a scale model of a room and make a "pi ruler" to help gauge the age of a tree. As they progress from fundamental measures to derived measures, they investigate such rates as speed and density. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Probability Grades 6–8

This book helps students develop their probabilistic thinking by introducing them to the notion of sample space and the use of tree diagrams and geometric regions to represent sample spaces. Many activities present probability in the context of the fairness of games, a topic of great interest to middle-grades students. Notions of population samples, prediction over the long term, and the law of large numbers are reinforced through games and engaging problems. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Number and Operations in Grades 6-8

Numbers and the operations that we perform with them are the starting points for all mathematics. Accordingly, Principles and Standards for School Mathematics makes the Number and Operations Standard first among the five Content Standards and gives it a centrality across the mathematics curriculum from prekindergarten through grade 12. Middle school students consolidate their understanding of integers and rational numbers, increasing their facility with fractions, decimals, and percents and encountering proportionality. This book shows how students can explore these important ideas in such diverse activities as exchanging currency and using area models to develop algorithms for multiplying and dividing fractions. Underlying each activity is the belief that students learn best when they build computational fluency on a firm conceptual foundation.

Integrating Handheld Technology into the Elementary Mathematics Classroom That is, the book attempts to have teachers reflect on themselves as learners of mathematical ideas as well as teachers of ideas. This book demonstrates how to integrate graphing

technology in the classroom to enhance learning in the areas of number sense, patterns, geometry, measurement, data analysis, and probability. Each chapter of the book recaps the National Council for Teachers of Mathematics (NCTM) standards for elementary mathematics, and then lists the goals for both the teacher and the students. The book tries to make explicit the depth of conceptual understanding that can be explored in ideas often viewed in a routine manner. The sample activities in each chapter give a hands-on demonstration of the relevant topic. Following the activity section is an assessment tool to help teachers recognize the students? understanding of the concept addressed in that chapter. At the end of each chapter is a list of related activities and a brief description of that activity. All of these activities can be found on the CD that accompanies this text. TI InterActive! Math for High School This workbook provides high school students with activities from algebra to calculus that use Texas Instruments software TI InterActive!

Exploring Mathematics with the Transformation Graphing Application The eight activities in this book provide an interactive look at the three functions typically studied in Beginning Algebra: linear, quadratic, and

exponential equations. Students first study the functions themselves and the effects of various parameters upon them, and then use the Transformation Graphing App as a modeling tool. The techniques introduced also may be applied to other function

Exploring Mathematics with the Cabri Jr. Application The intent of each activity in this brief book is to allow students to use the TI-83 Plus and TI-84 Plus families of graphing calculators to explore and make conjectures related to key geometry

concepts and familiarize students with the features of the Cabri Jr. application. Exploring Mathematics with the Inequality Graphing Application This brief book contains six activities that use the Inequality Graphing Application to explore topics typically taught in Algebra1, Geometry and Algebra 2.

Math at Your Fingertips with the TI-10 Little fingers take charge throughout the 17 activities focused on helping young students explore and use a higher level of math than they might through typical classroom activities.

Uncovering Math with Manipulatives the TI-10, and the TI-15 Explorer Designed for intermediate grades, students tackle 27 data gathering activities that help connect real-world ideas to mathematical concepts.

A World of Mathematics: Activities for Grades 4, 5, and 6 using the TI-15 This book introduces a four-step problem-solving process in 13 activities that help students integrate pencil-and-paper math with the use of technology.

Developing Problem-Solving

Skills with the TI-15 The 12 activities in this book are designed to allow students to solve rigorous problems on their own, using the calculator as a problem-solving tool.

Cabri® Jr.: Interactive Geometry Activities and Investigations This comprehensive workbook includes over 25 activities that provide students with the opportunity to explore geometry using interactive activities and investigations, with a focus on concepts over keystrokes. Each of

the activities is written to fully take advantage of the functionality of the TI-83 Plus/TI-84 Plus Families of handhelds and the Cabri® Jr. handheld software application. Topics in this workbook encompass five major areas of geometry: 1) points, lines and angles; 2) transformations; 3) triangles; 4) quadrilaterals; and 5) circles.

Exploring Mathematics with the Probability Simulation Application This book includes activities that ask students to predict the results of the planned simulation. Students will carry out numerous trials of the simulation using the Probability Simulation Application installed on their graphing

calculators and record their findings. Students then revisit their predictions and compare them to their findings. Through these different activities, students can begin to reconcile their inaccurate intuitions about probability with the more accurate and mathematically correct concepts. EasyData Activities: Modeling Algebraic Functions with Data Collection Activities This book has been designed for teachers at the high school level who wish to introduce their students to data collection, data analysis, interpreting and predicting graphs, and statistical analysis, using engaging and realistic laboratory activities. The book contains 15 lab activities dealing with various aspects of discrete mathematics and analytic geometry. The activities span a wide range of subject matter and conceptual difficulty. They are arranged in order of increasing complexity of the calculator skills required. Most activities suggest ways to increase or decrease difficulty or teaching time.

Algebra Using Real World Data: USA Today Activities For The TI-Navigator System This workbook provides students with an engaging way to explore algebra concepts using real world data and articles from USA TODAY. The activities are written to use the TI-83 Plus/TI-84

Plus family of graphing calculators in conjunction with the TI-Navigator™ Classroom Learning System. Powerful TI-Navigator tools used in these activities, such as Activity Center, Quick Poll, Screen Capture and LearningCheck™ assessments help turn students from passive observers to active learners. Graphing Calculator Activities for Enriching Middle School Mathematics This workbook provides teachers with useful integrated math and science activities to use the TI-80/TI-82/TI-83 graphing calculators. The activities cover topics in number sense probability and statistics, measurement, and algebraic thinking. Teacher Notes including useful activity hints and problems solutions, are also provided.

Navigating through Algebra in Grades 9–12

This book focuses on algebra as a language of process, expands the notion of variable, develops ideas about the representation of functions, and extends students' understanding of algebraic equivalence and change. In the activities, students apply properties of functions by using median salary data, explore the meaning of equivalent equations, and use recursive or iterative forms to represent relationships. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Data Analysis in Grades 9–12

The activities in this book introduce students to simple random sampling, sampling techniques, and simulation as a tool for analyzing both categorical and numerical data. Scenarios probe topics of interest to high school students, including possible workplace discrimination against women and links between vegetarian diets and blood cholesterol levels. As students work, they learn what makes a well-designed study; how to distinguish among observational studies, surveys, and experiments; and when statistical inference is permissible. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.


Approaching geometry through a transformational lens, this book concentrates on topics such as the use of transformations, coordinates and matrices, and congruence and similarity. Activities that take students through geometric tasks require some use of technology, including interactive geometry software and a calculator or a computer with software that produces geometric images and graphs. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.


Throughout history, the need for more sophisticated measurements has led to the discovery of more sophisticated mathematics. This book highlights this important idea in activities that help students explore an array of measurement strategies and techniques. Investigations probe ancient methods for performing such tasks as measuring the speed of ships at sea and estimating the distance of the sun from the earth. Students apply simple formulas to measure complex shapes, explore iterative processes that lead to measurement formulas, and develop an original formula for measuring the size of a tree. They also discover how to use advanced technology to make measurements and mathematical models of complex real-world phenomena. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Probability Grades 9–12

This book assists high school teachers in honing their students' thinking by introducing them to two approaches to probability and exploring both approaches in real-world contexts. The first approach, which interprets probability as relative frequency over the long run, uses actual or simulated data from many experiments to arrive at empirical probabilities. The second approach analyzes outcomes abstractly to arrive at theoretical probabilities. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.

Navigating through Mathematical Connections in Grades 9-12

Mathematics is a highly interconnected discipline. Teaching isolated concepts can limit students' understanding and diminish their interest. The NCTM Process Standards recommend highlighting mathematical connections by actively involving students in five processes: problem solving, reasoning and proof, communication, connections and representation. Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modeling, unify diverse content, call for different representations, and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making "transit graphs" to maximize travel through a canal, and deciding when to accept a "double dare" in a simple game.



Empowering the beginning Teacher of Mathematics: Elementary School Those beginning their journeys as teachers of mathematics will encounter challenges both inside and outside the classroom. These volumes have been compiled to help new teachers reach their full potential as mathematics educators, thereby improving the mathematics learning of their students. The resources in these books highlight six broad categories: professional growth, curriculum and instruction, classroom-level assessment, classroom management and organization, equity, and school and community.

The ideas and advice from experienced educators are designed to help beginning elementary school teachers maintain their students' natural interest in, and enthusiasm for, mathematics by nurturing rich mathematical thinking through talking, experimenting, and sharing ideas. The book addresses classroom management issues, questioning skills, professional growth, and more.

Empowering the Beginning Teacher of Mathematics: Middle School Those beginning their journeys as teachers of mathematics will encounter challenges both inside and outside the classroom. These volumes have been compiled to help new teachers reach their full potential as mathematics educators, thereby improving the mathematics learning of their students. The resources in these books highlight six broad categories: professional growth, curriculum and instruction, classroom-level assessment, classroom management and organization, equity, and school and community.

The ideas and advice from experienced educators can help beginning middle school teachers create an environment in which students view mathematics as useful and exciting and become prepared for more in-depth study of mathematics in high school and beyond. The authors present suggestions and tools for planning innovative lessons that foster meaningful discourse and active learning, as well as ways to assess students beyond traditional classroom means.

Empowering the Beginning Teacher of Mathematics: High School Those beginning their journeys as teachers of mathematics will encounter challenges both inside and outside the classroom. These volumes have been compiled to help new teachers reach their full potential as mathematics educators, thereby improving the mathematics learning of their students. The resources in these books highlight six broad categories: professional growth, curriculum and instruction, classroom-level assessment, classroom management and organization, equity, and school and community.

This book's ideas and advice from experienced educators are designed to help beginning high school teachers reach their full potential, thereby improving the mathematics learning of their students. The authors address the complex issues of classroom management, assessment, questioning, equity, and more, that high school teachers face daily with their students.

Changing the Faces of Mathematics Perspectives on African Americans African American students have not been given commensurate opportunities to succeed in mathematics education. This critical look at successful and unsuccessful teaching practices related to African American students explores the perspectives of these students, specific instructional techniques, integrating culture into the classroom, and where to go from here. Case studies describe efforts that have proved successful and offer suggestions for other institutions to implement.

Perspectives on Asian Americans and Pacific Islanders The manuscripts in this book demonstrate the traditions and contributions of Asian and Pacific Islanders to mathematics, and discuss the usage of language and cultural differences that influence classroom dynamics, behavior, and environment. Readers will develop a deeper understanding of these students and their unique characteristics.

Perspectives on Gender This provocative collection challenges teachers to consider their role in ensuring equity in mathematics education for girls and women and offers exemplars of interventions that encourage young women in mathematics. Delineations of the need for, and efficacy of, instructional methods and curricular approaches that are aspects of feminist pedagogy will stimulate you to build a multicultural, gender-equitable mathematics classroom.

Perspectives on Indigenous People of North America Of all cultural groups, the indigenous people of North America have the smallest percent of secondary and postsecondary school students performing at the advanced level of mathematics. This volume is meant to give classroom teachers, administrators and principals, curriculum supervisors and program developers, ethnomathematicians, and researchers a deeper understanding of indigenous people's mathematics and pedagogy. Teachers of all grade levels will be pleased with the many practical ideas shared by the contributing authors.

Perspectives on Latinos The first publication of its kind, this book was published by a professional mathematics association that focuses exclusively on Latinos and it was written by Latinos. It presents articles in five parts: socioeducational issues, language issues, teaching-learning aids, staff development, and intervention programs.

Perspectives on Multiculturalism and Gender Equity Supporting the premise that no amount of good will can succeed in replacing the present-day inequitable practices unless educators develop an alternative set of successful practices and a supporting body of technical knowledge, this book present discussions of issues and highlights those practices that show particularly interesting insights into the problems of equity. Its readings will challenge you to find multiple ways of looking at multicultural and gender issues.

Activities for Algebra with the TI-83 Plus This collection of activities is intended to provide middle and high school Algebra I students with a set of data collection investigations that integrate mathematics and science and promote mathematical understanding. The use of the TI-83 Plus is an integral part of

each activity. The activities are designed to be used in a mathematics classroom and require a minimum of equipment, setup, and materials. They are well suited to environments where collaborative teams of mathematics and science teachers plan interdisciplinary lessons.

Fully compatible with the TI-84 Plus Family. Time, Value, Money: Applications on the TI-83 Activities in this book approach common financial problems like Time-Value-of Money, Compound Interest, Present and Future Value, Depreciation, Mortgages, Amortization, and like NPV.

Fully compatible with the TI-84 Plus Family.

Statistics Handbook for the TI-83 The Statistics Handbook for the TI-83 is intended as an aid in using the TI-83 graphing calculator with most introductory statistics texts. The TI-83's powerful statistical features allow you to concentrate on important ideas and concepts rather than on mechanical computations. This handbook

demonstrates, with examples, how to use the features of the TI-83 to solve problems or to clarify ideas and concepts from your text. Your text will explain the appropriateness of the statistical features used and any restrictions.

Fully compatible with the TI-84 Plus Family. Math and Science in Motion: Activities for Middle School This workbook is intended to provide middle school students with an interactive and visual means of exploring math and science concepts. The activities are written to use the Texas Instruments TI-82 or TI-83 graphing calculator in conjunction with the Calculator-Based Ranger (CBR).The CBR collects motion data that is retrieved and analyzed on the calculator. The keystrokes outlined in the activity procedures are common to the TI-82 and TI-83, and you should notice no difference in their functionality.

Real World Math with the CBL2 and LabPro Real World Math with the CBL2 and LabPro contains 31 activities that explore real-world applications of math concepts using TI Graphing Calculators. Concepts from algebra through calculus are covered. Activities cover a wide variety of topics, including linear, quadratic, and periodic functions, statistics, systems of

equations, and many more.

Biology with the TI-83 Plus

The science of biology is based on observation, data collection, and

data analysis. In recent years, technological tools have been developed that make data collection

and analysis much easier, more efficient, and more accurate. Whereas the Biology student used to have to write data in a data table and then transfer the data to graph paper, the graphing calculator now allows the student to quickly enter data and graph it so that the data can be more fully evaluated. In this book, we have attempted to include topics from the major themes in a typical high school biology class. Each topic or chapter contains sample data that may be collected while studying that topic, along with instructions for entering, graphing, and analyzing those data on the TI-83 Plus. The book is filled with in-depth, evaluative questions that will move students beyond the lowest levels of biological understanding to more analytical levels. It is our hope that this book serves as a valuable tool for biology educators and students alike in their quest to more fully understand phenomena in the living world.

Fully compatible with the TI-84 Plus Family.

Modeling Motion: High School Math Activities with the CBR

This workbook provides high school students with "hands-on" motion activities using the Texas Instruments Calculator-Based Ranger™ (CBR™). The CBR is a stand-alone motion data collection device

that sends data to a TI graphing calculator for analysis. This book provides detailed instructions for analysis on either the TI-83 or TI-82 graphing calculator. The mathematics topics in these activities range from algebra through calculus. Refer to the table on page vi to select activities that emphasize the mathematics topics appropriate for your class.

The book provides 14 different motion activities using the RANGER program. This program can be downloaded directly from the CBR. Each activity has a set of teacher notes that give suggestions for success as well as a set of sample data with solutions to questions.

Fully compatible with the TI-84 Plus Family. Data Collection Activities for the Middle Grades with the TI-73, CBL and CBR

This book of data collection investigations was created for several reasons. The first, and most significant, was to have a set of investigations that integrate mathematics and the sciences with a focus on data collection. The need for such a book comes from the growing need to make mathematics and science more relevant to both worlds and a need to be more efficient with our time as teachers of the subjects. In this book the authors have tried to mesh important scientific concepts with the mathematics that is behind them. Teachers who use this book will find a need to work with the teachers of the other discipline (mathematics or science) to make the experiences more meaningful to the students.

Voltage Probe (12 available) In physics classes, it can be used to measure the potential in direct-current

or alternating-current circuits. In chemistry, physical science, or middle school science classes, students can measure voltages developed in a variety of electrochemical (voltaic) cells.

Conductivity Probe (10 available) This probe is great for environmental testing for salinity, total dissolved solids

(TDS), or conductivity in water samples. Biology teachers can use this probe to demonstrate diffusion of ions through membranes or to monitor changes in ion levels in aquatic systems. Chemistry students can use it to investigate the difference between ionic and molecular compounds, strong and weak acids, or ionic compounds that yield different ratios of ions. The Conductivity Probe can monitor concentration or conductivity at three different sensitivity settings. You can perform all of the conductivity experiments in our Biology, Chemistry, Physical Science, Middle School Science, and Water Quality lab manuals with this sensor. Flow Rate Sensor (2 available) The Flow Rate Sensor allows you to easily measure stream velocity for environmental or earth science studies. Using this durable sensor, your students can measure the flow of a stream at different points, in m/s or ft/s. Using flow rate data, your students will be able to calculate discharge value for the stream in m3/s or ft3/s, or determine the sediment transport of the stream. The impeller rod separates into four sections for easy transport and convenient storage. The Flow Rate Sensor comes equipped with a five-meter cable so your data collection equipment can stay on shore while you measure flow rate in the stream. Three riser rods are included with each sensor, which enable the impeller to be placed at fixed depths.

Turbidity Sensor (2 available) Use our Turbidity Sensor to measure the turbidity of freshwater or seawater samples. Its small, sleek design and simple setup make it easy to use at the collection site or when you return to the classroom. The Turbidity

Sensor measures turbidity in NTU (the standard unit used by most water collection agencies and organizations). Calibration can be done in about one minute using a high quality Hach StablCal® 100 NTU standard (included). Also included is a high-grade glass cuvette for the water sample to be measured. Chemistry and biology teachers can also use this sensor to monitor precipitates formation or algae and yeast populations. Magnetic Field Sensor (10 available) This sensor, which uses a Hall effect transducer, is sensitive enough to measure the Earth’s magnetic field. It can also be used to study the field around permanent magnets, coils, and electrical devices. This newly designed sensor has a rotating sensor tip. This allows you to measure both transverse and longitudinal magnetic fields.

Salinity Sensor (4 available) We are pleased to announce the Salinity Sensor as the latest in our outstanding line of water-quality sensors. This sensor easily and accurately measures the total-dissolved salt content in water. Salinity is an important measurement in seawater or in estuaries where freshwater from rivers and streams mixes with salty

ocean water. The salinity level in seawater is fairly constant, at about 35 ppt (35,000 mg/L), while brackish estuaries may have salinity levels between 1 and 10 ppt. The Vernier Salinity Sensor has a range of 0 to 50 ppt. This means it can be used to measure water with a wide variety of salinities, from freshwater to ocean water, and even hyper-saline environments.

Sound Level Meter (2 available) Vernier has been selling microphones for many years. They record waveforms for tuning forks, musical instruments, human voices, etc. Now there is a way to collect sound levels in decibels. The Sound Level Meter, makes this possible. The Sound Level Meter has an output port so that it can be connected to any of our interfaces. The input range of the sensor is 30 dB to 130 dB. The Sound Level Meter also has an LCD display,

which allows you to use it as a stand-alone device. You can collect sound level data in many real-world situations:

Before, during and after a concert or dance. Throughout the day in a school hallway or shopping mall. Judge cheering contests at pep rallies. Outside and inside a car equipped with a stereo system. Make and test a model of an ear and ear canal.

Soil Moisture Sensor (2 available) The new Soil Moisture Sensor uses capacitance to measure the water content of soil. Simply insert this rugged sensor in the soil to be tested and the volumetric water content of soil is reported in percent. Use it to conduct experiments in ecology, environmental science, agricultural science, horticulture, biology, and more. Measure the loss of soil moisture over time due to evaporation and plant uptake. Evaluate optimum soil moisture contents for various species of plants. Monitor soil moisture content to control irrigation in greenhouses. Enhance your Bottle Biology experiments. Gas Pressure Sensor (4 available) The Gas Pressure Sensor has enough resolution and range to work for all subject areas.

Chemistry teachers will find that it has enough range for Boyle's law experiments (0 to 2.1 atm), yet provides greatly improved resolution for vapor pressure or pressure-temperature experiments (0.40 mm Hg with LabPro). The

connection valve is now directly on the sensor box, significantly reducing dead air space. For biology teachers, the package includes airtight tubing clamps for transpiration experiments, as well as special fittings for respiration experiments in small containers.

Mathematics Assessment Handbooks and Casebooks

Both practical and inspirational, the Classroom Assessment for School Mathematics, K–12 Series of handbooks and casebooks foster insights into what students know, what they can do, and how they think mathematically.

Mathematics Assessment: A Practical Handbook for Grades K–2

The ideas in this book are great starting points for thinking about assessment. Readers will find advice about getting started in assessment; selecting, developing and managing assessment tools; and using the results. Samples of good assessment tasks, scoring rubrics, checklists, observation forms, and sources for tasks and more literature are also included. Mathematics Assessment: A Practical Handbook for Grades 3–5

This handbook includes valuable advice about getting started in assessment–from selecting, developing, and managing assessment tools to using the results. Samples of good assessment tasks, scoring rubrics, checklists, and observation forms, along with a bibliography to help find additional sources for tasks and more literature about current assessment practices, are included in this book.

Mathematics Assessment: A Practical Handbook for Grades 6–8

This valuable collection of examples, reflections, explanations, and tips explores the role of assessment in reshaping mathematics teaching and learning in the middle grades. This book not only offers advice about changing practices, selecting and developing tools, implementing a system, and using results, but also presents twenty samples of assessment tasks developed by teachers, all in an easily reproducible format.

Mathematics Assessment Sampler 3-5 This volume is compiled from many sources, including state, provincial, national, and international assessments and the private sector. The sample assessment items are sorted according to the strands of number and operations, algebra, geometry, measurement, and data analysis and probability. Because

one goal of assessment is to determine students' abilities to communicate mathematically, the writing team suggests ways to extend or modify multiple-choice and short-answer items to elicit students' thinking. The writers also present various rubrics as examples of how teachers might score extended-response questions. When students know in advance how their answers will be evaluated, they will strive to meet expected criteria. The hope is that teachers will find this material useful as they plumb their students' thinking and consider how students' responses can guide their instructional decisions.

Mathematics Assessment: A Practical Handbook for Grades 9–12

This guidebook considers new ways to assess students, focuses on assessment tasks, offers ways to plan and conduct a coherent classroom assessment program, and discusses the scoring, grading, reporting, and use of assessment data. Complete with teacher-to-teacher and student-to-teacher letters, tips for teachers, and responses to frequently asked questions, this book will provoke your thoughts and stimulate your conversations.

Mathematics Assessment: Cases and Discussion Questions for Grades K–5

One of the best ways to learn about assessment and make changes in practices is through work with other teachers. This book provides a glimpse into the assessment experiences of thirteen elementary school teachers of mathematics around the continent and offers helpful hints to lead groups of teachers in discussions about the cases.

Mathematics Assessment: Cases and Discussion Questions for Grades 6–12

Classrooms and schools are complex places. Changing assessment practices in nonsupportive environments is challenging at best. This book shares the stories of teachers who have had success, as well as those who have struggled with assessment.

Using Assessment to Improve Middle School Mathematics Teaching and Learning Using tasks that require students to think deeply about problem situations and communicate their mathematical understanding helps teachers

determine students' levels of proficiency and gain insight into students' mathematical thinking. This book and its companion CD include sixteen mathematics tasks that are appropriate for grades 4 through 8 and can be used for instruction and assessment purposes. Descriptions of six activities illustrating various uses of the tasks and materials are also included.

Prekindergarten–Grade 2 (with CD-ROM) In these motivating investigations, young children engage in deep and sustained interactions with fundamental mathematical ideas; reason and communicate; identify and explore patterns and relationships; apply problem-solving strategies; and discover connections with other mathematical concepts. Sample student activities involve covering a model airplane; constructing a "veggie" space shuttle; making fizzy-tablet rockets; exploring gravity and weight; launching protractor rockets; and collecting the sun's rays over time.

Grades 3–5 Get your students into math using outer space! Mission Mathematics translates the NASA experience into language and experiences appropriate for young learners, and provides teachers with mathematics activities that complement many of the available NASA resources for students and educators.

In these investigations, students reason and communicate, identify and explore patterns and relationships, apply problem-solving strategies, discover connections with other mathematical concepts, and explore cross-disciplinary links.

Grades 6–8 The materials in this book emphasize thematic modules, discourse, assessment, the formation of student teams, and mathematical content. Sample activities include making a scale model of the solar system; investigating space and speed; collecting data on Martian rocks; designing, building, and flying paper airplanes; making a windsock; analyzing the cargo space of the Space Shuttle; and studying the migration of whales. Resource pages for students are included in the appendix.

Grades 9–12 These materials engage high school students in significant mathematics at an appropriate level; lay a conceptual foundation for understanding mathematical ideas; promote reasoning and problem solving; and show contemporary applications of mathematics using contemporary methodologies. Sample activities include scaling planetary distances; modeling space-debris accumulation, collision probability, and collision effects; investigating exponential growth; determining position in one, two, and three dimensions; and applying global positioning technology to real-life situations. Resource pages for students, selected solutions, and teacher commentary are included.

Year Books .

The Mission Mathematics II series The Mission Mathematics II series is developed by NASA and NCTM in an unprecedented effort to link the science of aeronautics with the Standards that NCTM has developed for all aspects of mathematics education. Following the publication of the original Mission Mathematics series in 1997, this revision focuses on aligning the activities with NCTM's Principles and Standards for School Mathematics (2000) in the context of aerospace activities.

The activities in each book focus on actively engaging students in NCTM's Process Standards, translating the work of engineers and scientists at NASA into language and experiences appropriate for young learners, and providing teachers with mathematics activities that complement many of the available NASA resources for students and educators. The CD-ROM that accompanies this book features resource pages, links, and posters for your classroom.

Technology-Supported Mathematics Learning Environments (67th Yearbook) Technology is playing an increasingly important role in the teaching and learning of mathematics at all levels. This publication reports on overviews of research and findings on the impact of technology. It furnishes a rich context in which to observe teachers in prekindergarten through grade 12 and teacher educators using technology to help their students better understand mathematics, and gives us all a glimpse of what the future might hold in store for us. The accompanying CD includes electronic features that enhance an understanding of the articles presented in the printed yearbook. Learning and Teaching Measurement (2003) Measurement can develop in the earliest years from children's experience, and it readily lends itself to real-world application. Focusing on research and practice, NCTM's 2003 Yearbook presents current thinking about the learning and teaching of measurement, including students' understanding, the mathematics of measurement, estimation and approximation, connections, and pedagogy. The companion booklet, which not only illustrates some of the issues from the yearbook but also contains activities that go beyond the content, contains teaching notes and ready-to-use handouts.

Perspectives on the Teaching of Mathematics (67th Yearbook) Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career.

The accompanying professional development guidebook, edited by George W. Bright, contains activities that illustrate and extend some of the ideas in the yearbook in order to further teachers' growth and development in understanding and implementing effective mathematics instruction.

Making Sense of Fractions, Ratios, and Proportions (2002 Yearbook) NCTM's 2002 Yearbook emphasizes that although fractions, ratios, and proportions are pivotal concepts in the middle school, their development and understandings begin in the elementary school. The companion booklet presents activities that illustrate some of the ideas in the yearbook and that go beyond the content of the yearbook itself. Teachers' notes and handouts are designed to bring the yearbook to life in the classroom.

Colorimeter (10 available) This 4-wavelength Colorimeter is great for Beer's law experiments, determining the concentration of unknown solutions, or studying changes in concentration vs. time. The new design includes a one-button automatic calibration feature.

Dual-Range Force Sensor (10 available) The Dual-Range Force Sensor has two ranges: ±10N or ±50N. It can be easily mounted on a ring stand or dynamics cart (mounting bracket included), or used as a replacement for a hand-held spring scale. Use it to study friction, simple harmonic motion, impact in collisions, or centripetal force.

Easy Temp Probe (12 available) The Vernier EasyTemp is a rugged, general-purpose temperature sensor that connects directly to a TI-84 Plus or TI-84 Plus Silver Edition calculator. Its stainless steel housing and temperature range (-20°C to 110°C)

make it perfect for a variety of activities in science and math. Just plug the EasyTemp into your calculator and watch your temperature data graphed in real time! There's no need to manually record temperatures during an experiment. Let your TI-84 Plus do it.

Surface Temperature Sensor (10 available) Featuring an exposed thermistor that results in an extremely rapid response time, the Surface Temperature Sensor is ideal for situations in which low thermal mass or flexibility are required, or for a skin temperature measurement.

For use in air

Microphone (10 available) The microphone can be used to display and study the waveforms of sounds from voices and musical instruments. It is also great for speed of sound experiments.

Relative Humidity Sensor (10 available) The Relative Humidity Sensor contains an integrated circuit that can be used to monitor relative humidity over the range 0 to

95% (± 5%). This sensor can be used for weather studies, monitoring greenhouses, or for determining days when static electrical discharges could be a problem.

pH Sensor (4 available) The pH Sensor is a Ag-AgCl combination electrode with a range of 0 to 14 pH units. This high quality electrode has many uses in chemistry, biology, and middle school classes, as well as water quality monitoring.

Photogate (10 available) The Vernier Photogate works both as a traditional photogate for objects passing between the gate arms, and as a laser gate for objects passing outside of the gate. The gate has an input port so multiple gates can be connected in a daisy-chain configuration with up to four gates going to a single interface channel. The Vernier Photogate also supports auto-ID with compatible software.

Photogates can be used to study free fall, air track collisions, pendulum periods, the speed of a rolling object, and many other things. The Vernier Photogate includes an accessory rod for mounting to a common ring stand.

Hand-Grip Heart Rate Monitor (8 available)

The Hand-Grip Heart Rate Monitor is ideal for determining a person’s heart rate while mobile or stationary. With this sensor, heart rate can be monitored during, as well as after exercise. The sensor consists of wireless hand grips and a receiver module that plugs into any of our data-collection devices. The hand grips sense the electrical

signals generated by the heart, much like an ECG. For each pulse detected, a signal is transmitted to the receiver module, and the individual’s pulse rate is calculated. TI Light Sensor (12 available) The TI Light Probe is a small light probe for measuring relative brightness. It senses both IR and visible light. The reading reported is a relative number between 0 and 1. Its ease of use make it an excellent choice for elementary and middle school.

Stainless Steel Temperature Probe (12 available)

This rugged and durable temperature probe has a sealed stainless steel shaft and tip that can be used in organic liquids, salt solutions, acids, and bases. This probe is the same as the probe shipped with CBL 2™

TI – 84 Plus Silver (2 class sets of 30 available) Fully loaded with a built-in USB port, an improved display, many preloaded Apps, and much more, the maximum performance TI-84 Plus Silver Edition is 100% compatible, keystroke-for-keystroke with the TI-83 Plus family.

Silver Edition, all students can now share their work by connecting their handheld to any TI presentation tool for the whole class to see, fostering a collaborative learning environment.* Plus, a built-in USB port makes data transfer to your computer and between handhelds easier than ever. TI-Presenter Video Interface (1 available) WOW your students with the TI-Presenter™ video interface! Use your ViewScreen™ calculator* or student unit to connect the TI-Presenter into the video input of any conventional TV, VCR, or projector, and create an engaging learning environment.

ViewScreen Panel (1 available) The TI ViewScreen panel makes a great addition to your classroom! The panel works with your overhead projector to enlarge and project the image of your TI calculator screen so the entire class can see and grasp what you’re presenting. This enhances visual learning and student understanding of concepts. It also reduces the time you spend

working individually with students on handheld basics. CBL 2 (12 available) Let your students discover how math and science affect the world around them by developing hypotheses, conducting experiments, and forming conclusions. The CBL 2, the 2nd-generation Calculator-Based Laboratory™, provides the easiest, most accessible way for students to collect and analyze real-world data! Ideal for Middle School through High School Science and Math Collect data with more than 40 available sensors! Use the CBL 2 data collection device in middle school math and science, biology, chemistry, physics, and high school math.

CBR 2 (12 available) The CBR 2 is TI's answer to an easy, affordable data collection device! Designed for teachers who want their students to collect and analyze real-world motion data, such as distance, velocity and acceleration. Great for algebra through calculus and statistics, physical science and physics.

USB Plug-and-Collect Plug the CBR 2 sonic motion detector to your TI-84 Plus family calculator using the USB CBR-to-calculator cable and begin collecting data immediately (Vernier EasyData™ App required). The calculator will automatically launch the App and begin displaying the current distance reading. Also, select from several easy-to-use built in activities.

TI-Navigator™ (1 available, able to connect 32 calculators) The TI-Navigator System benefits both teachers and students Use real-time feedback to instantly assess student understanding with the TI-Navigator System. Designed to work with TI graphing calculators already in widespread use, the TI-Navigator System provides wireless communication between students' TI graphing calculators and the teacher's PC. It's a great way to get students to experience the benefits of a whole new level of interactive learning. For teachers, that means more engaged students. For administrators, the TI-Navigator System enables real-time, formative assessment and supports instructional strategies that research shows lead to improved student achievement. Features Summary Vernier EZLINK (6 available) Easy Data Collection for Math and Science. The Vernier EasyLink is the least expensive way to collect data using a single sensor and a TI-84 Plus or TI-84 Plus Silver Edition graphing calculator. EasyLink is the perfect solution for students and teachers new to data collection.

Data Collection Vest (1 available) Since LabPro and CBL 2 are portable data collection devices, many teachers use them outside the classroom. A popular activity is to collect data on amusement park or playground rides with our Low-g Accelerometer, 3-Axis Accelerometer, and/or Barometer. One of the challenges is holding onto the equipment and the ride at the same time. The DataVest is a perfect solution. The

vest has a front pouch for the LabPro, CBL 2 or original CBL. It has two inside pockets for the sensors, and side straps to hold the vest in place. Slots in the interface pouch provide access to the interface so that data can be easily transferred to a computer or calculator after the ride.

The Educator Basic Overhead Calculator (1 available) Keyboard layout and features emulate the TI-108 Calculator

The Wonderful World of Mathematics: A Critically Annotated List of Children's Books in Mathematics, Second Edition

This annotated list of more than 550 titles analyzes each book's content and accuracy, illustrations, style, and any

included activities. Highlights include a new section titled "Series and Other Resources" to accommodate the large number of books that have been issued in series, as well as a new subsection called "Incidental Geometry–Quilting," which lists books that help students make connections among geometry, history, and quilting.

Math Is Language Too: Talking and Writing in the Mathematics Classroom Replete with children's stories and illustrations, Math Is Language Too looks at children as sense-makers, storytellers, language creators, and problem-posers. This groundbreaking book, the first joint

publication by the National Council of Teachers of Mathematics and the National Council of Teachers of English, explores the ways in which fourth-grade students use story, metaphor, and language to develop mathematical thinking skills and strategies. Included are classroom-tested, hands-on activities in geometry and algorithms and directions on making tools for use in the classroom.

Exploring Mathematics through Literature: Articles and Lessons for Pre-kindergarten through Grade 8

This collection of articles and lessons provides classroom examples of how to use children's literature to teach mathematics effectively in

prekindergarten through eighth grade. The articles focus on five content strands–number and operations, algebra, geometry, measurement, and data analysis and probability–and describe how the different authors have used specific books to help their students learn mathematics. Most of the articles involve communication, problem solving, representation, and reasoning, and some of them address connections. Helpful teacher notes indicate the grade range, topic, literature selection featured in the lesson, materials needed, discussion of the mathematics, and questions for students. Blackline masters of recording sheets are also included for most lessons.

How To Use Children's Literature To Teach Mathematics The National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards" envision an interdisciplinary approach to mathematics that allows children to communicate their ideas in the process of solving real problems. This book promotes the connection between mathematics and children's literature as part of realizing that vision. An introduction provides the rationale for this connection and describes the organization of the eight chapters of the book, the rationale for the books selected, supplementary resources, and general ideas on mathematics and children's literature.

Developing Mathematically Promising Students Manuscripts from around the world emphasize the importance of ensuring the development of mathematically promising students–those who have the potential to become the leaders and problem solvers of the future. This variety of viewpoints will

initiate discussions and action plans to maximize the mathematical achievement of students from the primary through university levels.

Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development

This excellent book for education professionals who are fostering reform efforts in their classrooms and at the school

district and state levels presents instructional cases and actual materials for use in classes, seminars, or other similar settings. It describes the concepts, frameworks, and research findings that undergird the cases and offers issues and ideas for group discussions. Educators will gain rich insights into what makes a task challenging, how classroom events influence the unfolding of tasks, and how one can productively reflect on one's own practice.

Designing Professional Development for Teachers of Science and Mathematics (2nd Edition) Drawing on the research, literature, and wisdom of experienced professional developers, Designing Professional Development presents best practices to help professional developers,

administrators, and teacher leaders design learning experiences for mathematics and science teachers that are directly linked to improving student learning. This second edition incorporates new ideas, tools, and resources. It offers composite vignettes of what the authors have learned and case illustrations of real programs or program features. A bridge between theory and practice, this book is a comprehensive tool for professional developers. Content includes key elements for planning and leading professional development.

Integrated Mathematics: Choices and Challenges This book focuses on the teaching of meaningful, significant, and useful mathematics using an integrated approach, which will enable students to view ideas from more than one perspective and use a variety of tools and approaches in trying to understand new topics or solve problems. It

helps educators of all levels to understand the nature of teaching mathematics in this approach and guides them as they plan, implement, and assess curricula for integrated mathematics. Examples and information on how to plan for, implement, and assess curricula are also included.

Lessons Learned from Research

The chapters in this book, all research articles from NCTM's Journal for Research in Mathematics Education, have been recast specifically to reach the teacher audience and provide commentary that highlights the value of each. The goal is to give teachers confidence in maneuvering their way

through original research and to help them appreciate what research has to offer the classroom teacher.

Results and Interpretations of the 1990 through 2000 Mathematics Assessment of the National Assessment of Educational Progress

Often referred to as "The Nation's Report Card," the mathematics assessments of

the National Assessment of Educational Progress (NAEP) have come to be regarded by many policymakers as the primary yardstick by which to judge our schools' success in meeting national expectations. This monograph reports and interprets trends in NAEP mathematics data collected between 1990 and 2000.

Discrete Mathematics in the Schools This volume is a collection of articles written by experienced primary, secondary, and collegiate educators. The book explains why discrete mathematics should be taught in K--12 classrooms and offers practical guidance on how to do so.

In this book, teachers at all levels will find a great deal of valuable material to help them introduce discrete mathematics in their classrooms. One main article provides a comprehensive and detailed view of discrete mathematics for K--12. Another surveys the resources that are available for teachers. School and district curriculum leaders will find material that addresses how discrete mathematics can be introduced into their curricula. College faculty members will find ideas and topics that can be incorporated into a variety of courses.

Celebrating Women in Mathematics and Science This unique and beautiful book features the biographies of twenty-two notable female mathematicians and scientists, showing how their determination, creativity, and intellectual passion helped them excel in their fields.

Children Are Mathematical Problem Solvers

This book emphasizes the need for children to explore many experiences in problem solving in order to apply and strengthen their mathematical abilities. It is composed of 29 problems from the "Problem Solvers" column in Teaching Children Mathematics,

NCTM's journal for elementary school teachers. The situations offered are intended to engage students in interesting explorations in which they do challenging, interesting problem solving with significant mathematical content. The book also features solutions and children's work that were sent to the editors from children and teachers from around the country.

Mathematics Through Paper Folding This booklet is a revised edition of Donovan Johnson's "Paper Folding for the Mathematics Class". It begins with directions for folding basic constructions such as a straight line, the line perpendicular to a given line passing through a given point, and the bisector of an angle. Subsequent chapters cover concepts related to reflections, circle relationships, star and polygon constructions, symmetry, conic sections, algebra by paper folding, polygons constructed by typing paper knots, and recreations such as the Mobius strip and pop-up dodecahedra. Appendices list theorems that can be demonstrated by paper folding and display large-scale figures related to some constructions.

Developing Data-Graph Comprehension in Grades K–8 This book provides primary and junior secondary teachers with practical support for developing graph reading skills through their mathematics program and in other curriculum areas. There is also a

brief, but insightful discussion of some important background that teachers will find very useful in identifying different levels of comprehension. Each of the 28 classroom activities are linked to these levels, and to the likely appropriate year levels, making them easy to use. There are appendices with further activities, guidance and reproducible masters. Excellent resource in pre-service teacher education, too, as its practical approach to a complex area is approachable and intelligent.

Mathematical History, Second Ed Mathematical History is a teacher resource with activities for students in grades 4-7. The book includes brief biographies of mathematicians, followed by activities that teach about the origins of mathematical concepts. The final pages of the book contain games that teachers can adapt for each grade level and place in a mathematics center for students to use independently.

Figure This! CD-ROM: Math Challenges for Families

A great resource for both teachers and parents, Figure This! contains 80 challenges designed to illustrate the excitement, energy, and problem solving nature of middle school mathematics.

Each challenge includes a problem in a real-world setting, a tip to get started, the complete solution, and other extensions. Family materials include brochures with tips on supporting a child's mathematics development and ideas on working on the challenges with your child at home. Teacher materials include a PowerPoint presentation and handouts to introduce Figure This! to family members as well as ideas on using the challenges in your own classroom. The family brochures and fifteen of the challenges are available in Spanish. PDF files of all materials are included for easy downloading and printing.

Calendar Problems from the Mathematics Teacher

This valuable resource features more than 400 problems conveniently classified into fourteen sections, including number theory, coordinate geometry, puzzles and games, facts, and quickies. These are followed by corresponding sections of solutions, which welcome alternative solutions or

commentary from readers.

Computer Algebra Systems in Secondary School Mathematics Education

This stimulating resource for learning more about using computer algebra systems (CAS) tools at the secondary school level incorporates examples, problems, and solutions that make use of CAS capabilities

for teaching and learning mathematics. Offering an array of interesting ideas and findings from experiments conducted in classrooms around the world, it presents information about developing unique classroom projects.

Statistical Questions from the Classroom

This little book presents eleven short discussions of some of the most frequently asked questions about statistics, questions that are consistently raised by statistics students and by classroom teachers alike. Some questions such as "What is the

difference between a sample and a sampling distribution?" or "What is a margin of error?" or "What is a p-value?" involve major concepts in statistics. Other questions such as "Why are deviations squared?" or "Why do we divide by n - 1 instead of n?" deal with some of the more technical aspects of the mathematics in statistical theory. The authors offer teachers of statistics some quick insight and support in understanding these issues and explaining these ideas to their own students. Examples and visual representations of the ideas are included.

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