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Chapter 11 Teaching and Learning with Technology in Math and Science Instruction Erica McWilliams ED 310

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Page 1: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Chapter 11Teaching and Learning with Technology

in Math and Science Instruction

Erica McWilliamsED 310

Page 2: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Pretest

1. Which is not one of the six principles that address crucial issues fundamental to all school math programs?

A. CurriculumB. AssessmentC. MeasurementD. Equity

Page 3: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

2. There is a need for all citizens to be literate in ? in order to make informed decisions that affect our country’s future.

A. ScienceB. MathematicsC. EngineeringD. Technology

Page 4: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

3. The definition of a data logger is…

A. Links computers to scientific data-gathering instruments.

B. Device that records information over time with sensors.

C. Program that allows users to create geometric constructions.

D. Software that helps carry out complex numeric calculations.

Page 5: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

4. Which of these are not one of the three implications for the use of technology in math education?

A. Teachers should us a combination of on-and-off computer activities.

B. Teachers should consider technology as a math tool rather than a pedagogical tool.

C. Teachers should view technology as a tool for developing student thinking.

D. Teachers should use computer software and applications that can be used for short periods of time across topics to engage students.

Page 6: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

5. Which of these is not one of the five mathematics process standards?

A. Data AnalysisB. RepresentationsC. Problem SolvingD. Reasoning and Proof

Page 7: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Five Sections:

Issues in Math Instruction Technology Integration Strategies for

Math Instruction Issues in Science Instruction Technology Integration Strategies for

Science Instruction Tech-Pack Needs and Challenges in

Math and Science Instruction

Page 8: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Concept Map

Page 9: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Issues in Math Instruction

Science and technology have a unique relationship. Technology supports science and science makes new technology possible.

Technology provides many opportunities to build students conceptual knowledge of math and science as well as to connect their learning to problems found in our world.

Page 10: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Accountability for Standards in Mathematics

Six principles address crucial issues fundamental to all school mathematics programs:› Equity› Curriculum› Teaching› Learning› Assessment› Technology

These principles serve as a primary resource guide for all who make decisions that affect the mathematics education of students.

Page 11: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Five Content Standards:› Numbers and Operations› Algebra, Geometry› Measurement› Data Analysis› Probability

Five Process Standards:› Problem Solving› Reasoning and Proof› Communication› Connections› Representations

Page 12: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Research points to three implications for the selection and use of technology related to mathematics education:

Teachers should consider an appropriate combination of off-and-on computer activities.

They should consider technology as a mathematical tool rather than as a pedagogical tool.

They should view technology as a tool for developing student thinking.

Page 13: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Technology Integration Strategies for Mathematics Instruction

Technology Resources have made possible a variety of teaching and learning strategies to help address the Principles and Standards for School Mathematics.

Page 14: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Physical Manipulatives and Virtual Manipulatives

Physical- real objects such as blocks and coins. https://www.youtube.com/watch?v=n0AkQnq1bdM

Virtual- replicas of real manipulatives that are accessed through the Internet and can be manipulated through input devices. https://www.youtube.com/watch?v=bNI6cfQyxDI

Page 15: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Graphing Calculators- advanced calculators that can graph equations, as well as perform calculation functions involved in higher-level math problems.› Collect or generate raw data› Examine multiple cases› Get immediate feedback› Have graphical and numerical displays

Interactive Geometry Software- programs that allow users to create and manipulate geometric constructions.› Students are able to make discoveries related to geometry concepts.

Computer Algebra System- software that helps carry out complex numeric calculations involved in higher-level math problems.

Calculator-based laboratories- provide a means to link either calculators or computers to scientific data-gathering instruments.› Instruments such as thermometers or pH meters› Allows students to gather data and then analyze it.

Page 16: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Issues in Science Instruction

For years now, great concern has grown about America’s ability compete in science and technology in the future.

There is a declining number of students (especially females) pursuing studies in the math, science, and engineering fields.

Page 17: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Increasing Need for Scientific Literacy:› Need for all citizens to be scientifically literate.› To make informed decisions that affect our country’s

future.› America’s economic and environmental progress

depends on the character and quality of the science education that our schools provide.

Objections to the Virtual Science Labs:› Teachers are now encouraging students into doing

science instead of just hearing about it or seeing a demonstration.

› “Hands-On/Minds-On Science”› Engaging in in-depth investigations with objects and

materials to understand the material better from those experiences. https://www.youtube.com/watch?v=XG7A0zCW4X8

Page 18: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Technology Integration Strategies for Science Instruction

Technology resources support many kinds of teaching and learning strategies to help address science standards.

Page 19: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Authentic Online Projects Data Loggers- devices that record data over time

with sensors, and global positions systems, as well as traditional technologies.

Engaging Students in Engineering Topics through Robotics› Robotic camps› Robotic competitions

Accessing Science Information and Tools› The Internet› Students can access NASA for the latest information on

space› Students can access NOAA for information on the

weather› Students can access NIH for information on medicine.

Page 20: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Tech-Pack Needs and Challenges in Mathematics and Science Instruction

Technologies are an integral part of modern mathematics education and science education because they are essential in the field themselves.

Page 21: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Content Knowledge

Learning which tools to use and hot to teach most effectively with them is the challenge that both math and science teachers face.

For example, some teachers do not demonstrate how to draw graphs, instead they have students enter data into a graphics calculator and help them interpret the output.

Page 22: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

To Integrate Technology Effectively Teachers Must Have a Combination of…

Science and Math content knowledge Pedagogical knowledge Technological knowledge

Page 23: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Websites:

www.geogebra.org –mathematical graphing software www.mathomatic.org/math -computer algebra system www.sheppardsoftware.com –free science tutorials and games www.nap.edu –free videos and books

Page 24: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Smart Notebook

Five Process Standards Five Content Standards

Page 25: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

Post-test

1. Which is not one of the six principles that address crucial issues fundamental to all school math programs?

A. CurriculumB. AssessmentC. MeasurementD. Equity

Page 26: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

2. There is a need for all citizens to be literate in ? in order to make informed decisions that affect our country’s future.

A. ScienceB. MathematicsC. EngineeringD. Technology

Page 27: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

3. The definition of a data logger is…

A. Links computers to scientific data-gathering instruments.

B. Device that records information over time with sensors.

C. Program that allows users to create geometric constructions.

D. Software that helps carry out complex numeric calculations.

Page 28: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

4. Which of these are not one of the three implications for the use of technology in math education?

A. Teachers should us a combination of on-and-off computer activities.

B. Teachers should consider technology as a math tool rather than a pedagogical tool.

C. Teachers should view technology as a tool for developing student thinking.

D. Teachers should use computer software and applications that can be used for short periods of time across topics to engage students.

Page 29: 1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement

5. Which of these is not one of the five mathematics process standards?

A. Data AnalysisB. RepresentationsC. Problem SolvingD. Reasoning and Proof