Implementing Guided

Math into Your

Classroom

ERLC Guided Math Session

Tuesday, January 13, 2015

Getting to Know You

Name:

School and Grade/Role:

Your Guided Math Status: Indicate your familiarity with Guided Math; are you

a beginner, or an expert? Feel free to be creative and share through words,

pictures or emojis!

What is Inspiring Education?

Goals for students

The main goals of mathematics education are to prepare

students to:

• solve problems

• communicate and reason mathematically

• make connections between mathematics and its applications

• become mathematically literate

• appreciate and value mathematics

• make informed decisions as contributors to society

How can Guided Math improve student learning and achievement?

Essential Questions

How can I effectively use Guided Math groups to improve student learning and achievement?

Whole Group Instruction vs Guided Math

Using Whole Group Instruction:

One standard

Not differentiated

One lesson for all

After lesson, teacher must help 5-8 struggling kids

Advanced kids speed through work and read when finished

Not all kids have same understanding of different concepts

Minimal discussion of thinking

No balance in instruction

Using Guided Math Instruction:

One standard

Differentiated

Small group

Based on student need using daily formative assessment

One tiered lesson

Groups are flexible, change frequently

No student is ever “finished”

Balanced instruction

Key Instructional Strategies

Whole Class Instruction

Investigations

Journaling

Differentiated Instruction

Games

Number Talks

Guided Lessons

Practice

Turn and Talk

Talk to your shoulder buddy about how math is taught in your

building. Are these components part of the daily math instruction?

____ whole group instruction

____ mini-lesson

____ debrief

____ small guided math group

____ workstations

Our Schedule

Let’s Create a Burrito book

Connection between Guided Reading and Guided Math?

Components of Guided Math

Creating a Classroom Environment of Numeracy

Math Warm-Ups and Stretches

Lunch Break

Guided Math Instruction with Small Groups

What is Everyone Else Doing?

Planning for Tomorrow

Burrito Book

Writing and Journaling in Math

“Writing is both a learning and assessment opportunity in the

mathematics classroom. (Marilyn Burns)

Guided Reading Connection

Guided

Reading

Take a few moments to think

about what you know about

Guided Reading…

What happens?

What does it look like?

What are the other kids

“doing”?

How do we create groups?

Guided Reading

• Short, direct instruction Whole Class Mini Lessons

Independent Reading and Writing

•Organized around need, fluid

Small Group Mini Lessons

•Variety of forms, variety of choice, tailored to meet a variety of needs

Stations

•Highlights ideas/strategies explored in the lesson

Sharing

Components of Guided Reading

Guided Math Tasks

• Direct Instruction Vocabulary development

• Math task/investigation/ “explore” Journaling

Whole Class Instruction

• Mini lesson Number Talk

• Math task/investigation/ “explore” Game

• Work Station Practice

Small Group Work

• Journaling Work Station

• Math task/investigation/ “explore”

• Practice

Individual Work

The Guided Math Framework is based

on the following principles…..

All children can learn mathematics.

A numeracy rich environment promotes mathematical learning.

Learning mathematics is a constructive process.

Learning at its best is a social process.

An organized classroom supports the learning process.

http://guidedmath.wordpress.com/what-is-guided-math/

So what is Guided Math?

“ Guided Math instruction is a method of teaching in which teachers assess their

students formally or informally, and then group them according to their

proficiencies at a given skill. The groups are homogeneous, yet fluid, as

individual students’ levels of understanding change.”

Seven Instructional Components of Guided Math

Classroom Environment of Numeracy

Math Warm-Ups-Stretches and Calendar Activities

Whole-Class Instruction

Guided Math Instruction with Small Groups

Math Workshop

Individual Conferences

An ongoing System of Assessment

Creating a Mathematical Environment

Does your classroom support a community of math

mathematicians?

Ways of Establishing a Classroom Community

Math Huddles

Classroom Arrangement

Math Alcoves

Organization and Storing of Materials

Anchor Charts

Math Word Walls

Classroom Arrangement

Organizing and Storing Materials

“ A place for everything and everything in its place”

Math Huddles

Our students need to talk about math!!!

Anchor Charts

Think Like a Math Detective

Work together with a partner or alone to review the meaning of the MWW

words.

Students will use what they know about mathematics and the clues that are

given to identify a word. Some of the clues may refer to more than one word

but only one word will match all the clues.

In journal, number your paper with the number of clues that it is created.

Student must give a response after each clue given.

You cannot go back to change your answer once it is written.

Once all clues are given, student shares what they think the MWW word is.

Let’s Try…Math Word Wall Words

Angle

Circle

Congruent

Parallel lines

Square

Perpendicular

Rhombus

Triangle

Polygon

Trapeziod

Think about what literature lends

itself to a real life math context. Use

stories to link to a math concept or

skill.

Activity: Read “Amanda Bean’s

Amazing Dream” and then play the

game "Circles and Stars”.

In your journal, write down some of the ways your classroom is already a mathematically rich environment. List two ideas you are willing to try in your class to create a classroom environment of numeracy.

Stretches / and

Sample Schedule for

Workshop Day

8:50-9:10 Warm-up or morning stretch

(on desk or board when students arrive)

9:15-9:30 Guided Practice – Mini-lesson

Whole group setting

Teach a mini-lesson on a particular concept

Students participate

9:30-10:00 Guided Math Groups

Could be 2-15 min. groups or 1 group

Guided Math Instruction – with small groups on known or unknown content

Other students participate in independent practice (this can look different depending on the needs of the students)

10:10-10:15 Wrap-up Session

Whole group setting

Review problem of the day, share, collect work, etc.

Examples of Math Warm-Ups

Taking daily attendance Support classroom and community projects Calendar Planning with current events Problem of the Week

Using the Calendar

o Counting

o Writing numbers

o Patterning

o Place Value

o Time

o Graphing

o Analyzing data

o Tally chart

o Fractions

o Percentage

o Prime and Composite Numbers

K-3 Jarvis plays on a baseball

team. In the past 3 games,

he had a total of 6 hits.

How many hits might he

have in each of the 3

games?

6-8

Allie wants to build a dog

pen for her puppy. She has

30 meters of fencing. What

size of pen could she build?

3-5

6-8

Mai added 3 prime

numbers and 2 composite

numbers to get a sum of

61. What 5 numbers

could she of added?

Weeklong Plan of Math Stretches

Days of the Week Morning Stretch Topic

Monday Number of the Day 180

Tuesday What’s Next 1, 3, 9, 27…

Wednesday How did my family use

math last night

Real life math

connections

Thursday A ___ Makes Me think

of….

Multiplication

Friday Data Collection Where would you rather go on a

field trip?

• Telus World of Science

• Bennett Center

• museum

Today’s Number……..

Math Stretches as Warm-Ups

Stretches / and

Whole Group Instruction

Using Guided Math With Small

Groups

Introduce new concepts

Practice new skills

Work with manipulatives

Provide intensive and/or targeted instruction – reteach based on need

Introduce activities that will later become part of math workshop

Conduct informal assessments

Maximize effectiveness of co-teaching

Guided Math Look Like?

So what does it REALLY look like?

Having viewed a clip … What did you notice? What were students doing? What was the teacher doing? How was the classroom organized?

How can I form my guided math

groups?

Group by ability on specific content

Determine the “big ideas” of the unit of study based on standards and needs of students

Pretest, formative tests, performance tasks, observation of student work (must decide criteria for success)

Compile information

Look for strengths and deficits to determine teaching points for each group

Math groups should be fluid/flexible!

Name the groups

Coins, shapes

http://mrsshannonsclass.weebly.com/guided-math.html

Assessment …

Leaps and Bounds

Early and Middle Years Interview

MRI

1. Are there any fundamental gaps in my student;s knowledge?

2. Does the student have any misconceptions that needs to be

addressed?

3. Are my students grouped appropriately?

4. What feedback can I give my students to acknowledge what they

are doing well and then to move them on to the next step in their

learning.

By using these questions as a foundation you can modify, rearrange

and tailor your instruction to meet the needs of your students. Good

organization is the key to effective small groups

Before a Guided Math Session

Ask Yourself:

Getting into Shapes (Sample Small Group Lesson for k-2)

Assess: Determine instructional groups based on observation of students sorting pattern block shapes. Check to see which attributes they notice and use to create categories. Use this data to form small groups.

Example: Group 1: Struggles to think of categories for sorting the blocks. They are only able to sort by color and shape and cannot explain why certain blocks are grouped together.

Group 2: Able to recognize several different ways to sort the blocks and explain why certain blocks are grouped together.

Group 3: Able to go beyond sorting by color and shape and may be able to sort by number of sides, straight/curved edges

Guided Math Lesson

Differentiated Lessons

Rebuilding Foundational Knowledge

Together as a group examine one shape. Create a chart listing the characteristics of the shape. Prompt students with leading questions. Repeat with other shape.

Standard Instructional Group

Engage the group with sorting of objects, encouraging them to explicitly tell why each object should be placed in a group. Then, have students work in pairs to sort the objects. Listen and observe as they work to ensure each student is engaged and developing the ability to sort by different attributes.

Additional Challenge Group

If able to sort by different attributes, compare and contrast the attributes of squares, rhombuses, parallelograms and trapezoids.

What Are the Other Kids Doing ??

Math Games Investigations Math Journals

Technology Independent

Math Work Problem Solving

Math Fact

Practice

“Writing in math class supports learning because it

requires students to organize, clarify, and reflect

on their ideas – all useful processes for making

sense of mathematics.”

By Marilyn Burns

Math Journals

Support complete understanding of concepts

Reinforce math comprehension

Encourage use of diagrams

Can be used for documentation or research and experiments during investigations and to record processes, strategies, and solutions

Use labels to print prompts or problems (warm-up/stretch/task cards)

Differentiate the questions to meet the needs of the students

Math Journals

1. Picture Perfect Math 2. Math Task Cards (Greater Than?/Less Than, Shaping Up, Up to 100)

3. Journal Prompts

Picture Perfect

Independent Math Work Place Value Game

1. Draw four Number Cards (0-9)

and write them in journal.

2. Place all four cards on the mat to

create the biggest number and

record it.

3. Find and record least possible

number.

Differentiation:

- Use fewer cards

- Use more cards to make numbers in the millions

Where do I find Games…

Search online

Box Cars and One Eyed Jacks

Pinterest

Daily 5 Website

Books

Math Makes Sense

Board Games- Monopoly, Rush

Education Station, Scholars Choice

Board Games

Math Makes Sense Stations

Each Math Makes Sense Station should include:

- Instructions for the activity

- Required manipulatives

- Common materials needed

- Expectations for the activity

Games

Target to 100

What’s Your Product (Gr. 3-6)

Clockominoes (Gr. 1-3)

Let’s Play on the Ipad

http://www.appitic.com/

http://www.tcea.org/ipad

http://www.apple.com/education/ipad/

Let’s Explore…Tech stations

http://www.2learn.ca/kids/listMath.aspx?Type=1

http://engagingstudents.blackgold.ca/

http://www.hzsd.ca/c&i/Learning%20Resources/

www.illumination.nctm.org

http://ca.ixl.com

http://www.figurethis.org/index.html Created by the National Council of Teachers of Mathematics, this site helps families enjoy mathematics outside school through a series of fun and engaging challenges.

“The most basic idea in mathematics is that mathematics makes sense to ALL students!” John Van de Walle

Let’s Plan…..

Why should I use Guided Math groups to improve student learning and achievement?

Essential Questions

How can I effectively use Guided Math groups to improve student learning and achievement?

Provides

scaffolding for students

requiring support

Enhanced communication

builds competent

mathematical thinkers

Increased student focus

Increases teacher

knowledge of students

Facilitates differentiation

Advantages of Guided Math

Supports the learning needs of ALL students

Misconceptions are easily

detected and corrected

Resources

Both books by Laney Sammons By Nikki Newton By John Van de Walle

Dr. Nikki Guided Math Blog: http://guidedmath.wordpress.com/

Ticket Out the Door

In your journal list three things you learned today.

List two new ideas you are going to try in your class.

List one question you still have about Guided Math.