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"What Do You Notice?" in 3rd grade DI class (C. Galindo)

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"What Do You Notice?" in 3rd grade DI class (C. Galindo)

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Third graders noticed so many equations!

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The Conscious Kid is an education, research and policy organization that supports families and educators in taking action to disrupt racism, inequity and bias

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A Small List of Links to Start Building Your Library

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A Small List of Links to Start Building Your Library

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https://docs.google.com/document/d/1k0P6wUgzI3YdhJaeQ2yjPocssii4_wAGwcQmvjinI78/edit?usp=sharing

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Stef has gathered all the things! Brava and Wow!

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This must-have resource for shifting your instruction to emphasize mathematical thinking and sense making explores an instructional approach unparalleled

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Joanna Ho Shares Books about her Asian American Experience

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Joanna Ho Shares Books about her Asian American Experience

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Ed-Talk: Supporting the Development of Children's Mathematics - Megan Franke

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Look at the ways this third grade class "made" 25!

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Create your Own Which One Doesn't Belong Here!

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5 Weeks of Warm Ups from Berkeley Everett

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5 Weeks of Warm Ups from Berkeley Everett

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Here are 5 weeks of number sense routines (5-10 minute math talks) tailored to each grade K-5. Every slide deck includes a "how to" and a week each of:

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Great ways for kids to think about numbers and includes fractions.

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Steve Wyborney's Blog: I'm on a Learning Mission.

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Welcome to Splat! You are only moments away from a VERY POWERFUL, highly interactive number sense strategy that can be used at any grade level!

This post includes 50 (fifty!) free, downloadable PowerPoint math lessons!

Watch the video, download some (or all) of the lessons, and experience what happens when you unleash this resource in your classroom!

I've been excited to click the Publish button on this post for several weeks! It's time!
UPDATE: The Fraction Splat! Series (with 20 more downloadable lessons) is now available!
After reading this blog post, take a look at THE 12 MOST POPULAR MATH STRATEGIES AND DOWNLOADS ON THIS BLOG.

Splat Through 10
How many dots are under the Splat?

Splat Through 20
How many dots are under the Splat?

Multiple Splats
(Note: Splats that are the same color must cover the same number.)
Splat 3.1 - multiple splats Splat 3.2 - multiple splats Splat 3.3 - multiple splats Splat 3.4 - multiple splats Splat 3.5 - multiple splats
Instant Multiple Splat
(Note: An additional feature of this level is the opportunity to ask, "What could the total be?")

Splat 4.1 - Instant Multiple Splats Splat 4.2 - Instant Multiple Splats Splat 4.3 - Instant Multiple Splats Splat 4.4 - Instant Multiple Splats Splat 4.5 - Instant Multiple Splats
2-Color Splat
(Splats of different colors must have different values.)

Splat 5.1 2-color Splat Splat 5.2 2-color Splat Splat 5.3 2-color Splat Splat 5.4 2-color Splat Splat 5.5 2-color Splat Splat 6.2 Instant 2-color Splat Splat 6.3 Instant 2-color Splat Splat 6.4 Instant 2-color Splat Splat 6.5 Instant 2-color Splat
Instant 2-Variable Splat
(Splats of different colors must have different values. Splats of the same color must have the same value.)
Splat 7.1 Instant 2-variable Splat Splat 7.2 Instant 2-variable Splat Splat 7.3 Instant 2-variable Splat Splat 7.4 Instant 2-variable Splat Splat 7.5 Instant 2-variable Splat
Number Splat
(Note: Only the numbers circled on the screen may be used.)
Splat 8.1 - Number Splat Splat 8.2 - Number Splat Splat 8.3 - Number Splat Splat 8.4 - Number Splat Splat 8.5 - Number Splat Splat 9.1 - Instant Number Splat Splat 9.2 - Instant Number Splat Splat 9.3 - Instant Number Splat Splat 9.4 - Instant Number Splat Splat 9.5 - Instant Number Splat
Instant Number Splat with 2 Variables
(Note: Only the numbers circled on the screen may be used, and Splats of different colors must have different values.)
Splat 10.1 - Instant 2-Variable Number Splat Splat 10.2 - Instant 2-Variable Number Splat Splat 10.3 - Instant 2-Variable Number Splat Splat 10.4 - Instant 2-Variable Number Splat Splat 10.5 - Instant 2-Variable Number Splat
NOTE: I wrote each of these lessons using PowerPoint, so I recommend playing them in PowerPoint. If you do not have PowerPoint, you may want to download the PowerPoint viewer so that you can play the lessons.

UPDATE: The Fraction Splat! Series (with 20 more downloadable lessons) is now available!
Other Posts and Resources Which May Be of Interest Tiled Area Questions The Maze Hundreds Chart
Introducing Cube Connectors
Provide Massive Space to Notice
Primary Tile Questions
3 Powerful Tile Strategies (and 40 new downloadable pages)
Please take a moment to subscribe to the blog so you'll be notified each time new resources are posted!

I would treasure hearing about your experiences using Splat! to promote number sense in your classroom!

All my best,
Steve

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Splat! - Steve Wyborney's Blog: I'm on a Learning Mission.

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Welcome to Splat! You are only moments away from a VERY POWERFUL, highly interactive number sense strategy that can be used at any grade level!

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Choose your own maths adventure with our interactive tools that allow you to build a custom playlist of inspirational activities!

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I used the above site to make a PPT for K. https://docs.google.com/presentation/d/13BrbYUGAkoGFlclxgLacqzkUPKsL7nEjpjXCmrzVtHs/edit?usp=sharing

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Family Engagement: Check out these great resources for math activities to do at home! 

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Family Engagement: Check out these great resources for math activities to do at home! 

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Great website with so many resources for teachers and parents.

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Great website with so many resources for teachers and parents.

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Students Collaborating

Student collaboration supports the Standards for Mathematical Practice as students should be able to "understand the approaches of others to solving complex problems and identify correspondences between different approaches" (MP 1) and "justify their conclusions, communicate them to others, and respond to the arguments of others" (MP 3).

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Student collaboration supports the Standards for Mathematical Practice as students should be able to "understand the approaches of others to solving complex problems and identify correspondences between different approaches" (MP 1) and "justify their conclusions, communicate them to others, and respond to the arguments of others" (MP 3).

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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS?

HERE'S OUR GROWING COLLECTION

WANT TO SHARE OPEN MIDDLE WITH OTHERS?

CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK

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CHALLENGING MATH PROBLEMS WORTH SOLVING DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL Get Our Favorite Problems Take The Online Workshop WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS? HERE’S OUR GROWING COLLECTION Get Google Slide Versions WANT TO SHARE OPEN MIDDLE WITH OTHERS? CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK Elementary Version

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This is a great resource for using estimation as a math routine or warm up.

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Steve Wyborney's Blog: I'm on a Learning Mission.

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Hi, friends. I know this is really challenging and we are all exhausted. This post is my way of providing support and encouragement - as well as bringing math joy to your classroom...

I'm going to stick with you all year long.

To do that, I am going to post a new math resource every school day for the rest of the school year. Here is the plan:

Every Monday - Brand New Estimation Clipboard (all grade levels)

Every Tuesday - Brand New Esti-Mystery for Kindergarten, and New Esti-Mystery for Grades 1-2

Every Wednesday - Brand New Esti-Mystery for Grades 1-3

Every Thursday - Brand New Esti-Mystery for Grades 3-8

Every Friday - Brand New Mystery Number Sense Resource

I'll post a new resource every school day each week (except for holidays) from now through May 1. You will be able to find all of the resources on this blog post.

In addition, I'll post updates on my YouTube channel.

If you find this useful, let me know - and I'd love to hear where you are from - in the comments below.

Let's begin...
Monday, November 2
Estimation Clipboard 41 (This is #41 because there are 40 prior clipboards)

Here is a short video for teachers of Estimation Clipboard 41 on YouTube with tips and directions.
Tuesday, November 3
Kindergarten: Esti-Mystery 01 - "Pile of Game Pieces"

Grades 1-2: Esti-Mystery 116 - "Mystery Pieces"
Wednesday, November 4
Grades 1-3: Esti-Mystery 214 - "Sometimes There Are Clues on the Die"
Thursday, November 5 - Esti-Mystery (3-8)
Grades 3-8: Esti-Mystery 317 - "Pieces of the Mystery"

Friday, November 6 - Mystery Number Sense Resource (All Grade Levels)
The Friday Mystery Resource this week is... Melting Cubes

1. Choose a level that is a good match for your class.

2. Play the PowerPoint

3. Follow the question prompts on the bottom of the screen.

4. Listen to the number sense ideas in your classroom.

5. Enjoy the reveal!

Monday, November 9
Estimation Clipboard #42 (All Grade Levels)
Tuesday, November 10
Kindergarten: Esti-Mystery 02 - "Spools of Thread"

Grades 1-2: Esti-Mystery 117 - "Follow the Thread"
Wednesday, November 11
Grades 1-3: "Esti-Mystery 215 - "Vase of Thread"
Thursday, November 12
Grades 3-8: Esti-Mystery 318 - "A Thread Less Than a Multiple of 9"
Friday, November 13
How Many Cubes and How Do You Know (All Grade Levels)
Monday, November 16
Estimation Clipboard #43 (All Grade Levels)
Tuesday, November 17
Kindergarten: Esti-Mystery 03 - "Pile of Pompoms"

Grades 1-2: Esti-Mystery 118 - "Vase of Pompoms"
Wednesday, November 18
Grades 1-3: Esti-Mystery 216 - "Six Colors of Pompoms"

***This is a Chart-Embedded Esti-Mystery!!!
Thursday, November 19
Grades 3-8: Esti-Mystery 319 - "That's Odd"
Friday, November 20
Splat Medley (All Grade Levels)
November 23-27, 2020 Note: I will be on Thanksgiving break this week, so I'm posting the entire week before the week begins. Enjoy! Monday, November 23
Estimation Clipboard #44 (All Grade Levels)
Tuesday, November 24
Kindergarten: Esti-Mystery 04 - "It Looks Like Snow"

Grades 1-2: Esti-Mystery 119 - "Snowy Spheres"
Wednesday, November 25
Grades 1-3: Esti-Mystery 217 - "That is a Lot!"
Thursday, November 26
Grades 3-8: Esti-Mystery 320 - "Snowy Challenge"
Friday , November 27
Splat Medley #2 (All Grade Levels)
Monday, November 30
Estimation Clipboard #45 (All Grade Levels)
Tuesday, December 1
Kindergarten: Esti-Mystery 05 - "Less or More"

Grades 1-2: Esti-Mystery 120 - "Double Digits"
Wednesday, December 2
Grades 1-3: Esti-Mystery 218 - "Counting On Buttons"
Thursday, December 3
Grades 3-8: Esti-Mystery 321 - "Button Squares"
Friday, December 4 Splat Medley 3 - All Grade Levels ***Slides from my YouTube videos are included in this Splat Medley!
Note: This Splat Medley has links to my 2 Splat Videos on my YouTube channel - and it includes the splats I used to create those videos. Those slides are labeled in this Splat Medley so you can find them easily - especially if you've seen the video. The first video is one in which I solve a splat several different ways. In the picture below, it's the Splat with the number 14.

The second video shows 8 different ways a fraction splat might be solved. In the picture below it's the fraction Splat with the number 7.

The 2 slides I used are slide 12 and slide 33.
Monday, December 7
Estimation Clipboard #46 (All Grade Levels)
Tuesday, December 8
Kindergarten: Esti-Mystery 06 - "Pile of Erasers"

Grades 1-2: Esti-Mystery 121 - "Twenty More or Less"
Wednesday, December 9
Grades 1-3: Esti-Mystery 219 - "Skipping Numbers"
Thursday, December 10
Grades 3-8: Esti-Mystery 322 - "23 is One Less Than a Multiple of 4"

Friday, December 11 - Mystery Number Sense Resource (All Grade Levels)
The Friday Mystery Resource this week is...
All Grade Levels: Melting Cubes - Part 2

1. Choose a level that is a good match for your class.

2. Play the PowerPoint

3. Follow the question prompts on the bottom of the screen.

4. Listen to the number sense ideas in your classroom.

5. Enjoy the reveal!

To find the original Melting Cubes, scroll up to November 6.
Monday, December 14
Estimation Clipboard #47 (All Grade Levels)
Tuesday, December 15
Kindergarten: Esti-Mystery 07 - "Yellow Rocks"

Grades 1-2: Esti-Mystery 122 - "Mustard Rocks"
Wednesday, December 16
Grades 1-3: Esti-Mystery 220 - "Orange and Yellow"
Thursday, December 17
Grades 3-8: Esti-Mystery 323 - "Three Colors"
***This is a rare find! This is an Esti-Mystery with a bonus triple reveal! Friday, December 18
Mystery Number Sense Resource

All Grade Levels: 10 Subitizing Sets and 1 Challenge Pattern

BONUS: Watch the YouTube video about this resource right here on my YouTube Channel.
2021 Monday, January 4 Estimation Clipboard #48 (All Grade Levels) Tuesday, January 5
Kindergarten: Kindergarten Esti-Mystery 08 - "Pencil Grips"

Grades 1-2: Esti-Mystery 123 - "A Gripping Esti-Mystery"
Wednesday, January 6
Grades 1-3: Esti-Mystery 221 - "Gripping Patterns"
Thursday, January 7
Grades 3-8: Esti-Mystery 324 - "3-Clue Mystery"
I'm going to post Thursday, January 7 an extra time because it seems to be taking a while to go through the caching process to show up on everyone's computer. I hope it you can see it either above or below this comment...
Thursday, January 7

Grades 3-8: Esti-Mystery 324 Three Clue Mystery

Friday, January 8 - Mystery Number Sense Resource (All Grade Levels)
The Friday Mystery Resource this week is...
All Grade Levels: Melting Cubes - Part 3

1. Choose a level that is a good match for your class.

2. Play the PowerPoint

3. Follow the question prompts on the bottom of the screen.

4. Listen to the number sense ideas in your classroom.

5. Enjoy the reveal!

Monday, January 11 and beyond
To find January 11 and beyond, click here to find the continuing list of materials on the next blog post.

I created a new blog post for January 11 and beyond. The reason is that this post was becoming lengthy - requiring quite a bit of scrolling to reach the new resource each day.

To find January 11 and beyond, click here to find the continuing list of materials on the next blog post.
When will the resources be posted?
I'll post them the evening before the date listed so they will be ready. I'll post them sometime after I return home from school.
Is this content new?
Everything will be completely new. I have a journey of creation in front of me, and I look forward to sharing it with you!
Other Posts You May Enjoy 51 Esti-Mysteries Splat! Splat for Google Slides

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New Esti-Mysteries and Number Sense Resources Every Day for the Rest of the School Year - Steve Wyborney's Blog: I'm on a Learning Mission.

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Hi, friends. I know this is really challenging and we are all exhausted. This post is my way of providing support and encouragement - as well as bringing math joy to your classroom... I'm going to stick with you all year long. To do that, I am going to post a new math...

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Here is a great site shared with me.
https://wodb.ca/

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

Which One Doesn't Belong?

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

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Jen Yi introducing counting collections in her kinder class.

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I used paper plates with different colored dots for students to wonder and notice.

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Week of Inspirational Math.

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What do you notice?

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Helpful Book: How to Start with Number Talks

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Helpful Book: How to Start with Number Talks

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This is a helpful book for CGI math warm-ups.

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Cognitively Guided instruction, or CGI, is based upon 30 years of research. It's a framework that helps teachers to understand how children's mathematical ideas develop, and provides an opportunity to build on the child's own thinking and understanding. CGI is not a curriculum. CGI is not a lesson. CGI is a framework, a way of thinking about how children learn math that is research-based. The central theme of CGI is that children come to school with mathematical knowledge. Children develop their math understanding by solving a variety of problems in a way that makes sense to them. The children build their own understanding and inform other children, and the teacher, as they share their thinking. As a result, children build connections and relationships among the mathematical ideas so that the math makes sense to them, and the math is meaningful in their lives.
Here are some videos of CGI in action with teachers from LAUSD: Kinder Video 3rd Grade Video 4th/5th Grade Video Videos from the Online course Navigating the CGI Math Classroom: The What and Why of CGI Multiplication and Division and CGI CGI and Place Value Supporting Teachers in CGI, Part 1 Supporting Teachers in CGI, Part 2
Resources and Links:

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Cognitively Guided Instruction "CGI" Support

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Cognitively Guided instruction, or CGI, is based upon 30 years of research. It's a framework that helps teachers to understand how children's mathematical ideas develop, and provides an opportunity to build on the child's own thinking and understanding. CGI is not a curriculum. CGI is not a lesson.

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My students really enjoy this math warm up for First Grade. There is one number showing and the students guess which numbers go in the colored boxes. We would complete one a week.

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Create a new document and edit with others at the same time -- from your computer, phone or tablet. Get stuff done with or without an internet connection. Use Docs to edit Word files. Free from Google.

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Students Collaborating

Student collaboration supports the Standards for Mathematical Practice as students should be able to "understand the approaches of others to solving complex problems and identify correspondences between different approaches" (MP 1) and "justify their conclusions, communicate them to others, and respond to the arguments of others" (MP 3).

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Student collaboration supports the Standards for Mathematical Practice as students should be able to "understand the approaches of others to solving complex problems and identify correspondences between different approaches" (MP 1) and "justify their conclusions, communicate them to others, and respond to the arguments of others" (MP 3).

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You can use splat routines as a warm up in google slides "present" mode

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Steve Wyborney\\\'s Blog: I\\\'m on a Learning Mission.

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For my educator friends who have access to Google Slides, but do not have access to PowerPoint, this post is for you. Since Google Slides does not have the animation that makes the Splats become transparent, the Splat! reveal does not work in Slides. Now - with these materials - it will. I've rewritten the first 20 Splat! lessons and the first 20 Fraction Splat! lessons with a different method so they will now include the reveal when using Google Slides.

The content of the lessons is the same as the original lessons.

Visit these links to see the original videos about how to use the and the Fraction Splat! slides.

Quick Note: The file sharing power of Google Drive is impressive and highly useful. However, for the purposes of sharing these resources, I need to use a method that I can personally maintain, update and support - and I've learned that the best way to provide resources from my blog is through the download links and the sign-up forms.

I hope you enjoy these Splats! formatted to work in Google Slides!

Splat Through 10
How many dots are under the Splat?
SPLAT 1.1 - numbers through 10 (Google Slides compatible version)
SPLAT 2.1 - with numbers 12-20 (Google Slides compatible version) SPLAT 2.2 - with numbers 12-20 (Google Slides compatible version) SPLAT 2.3 - with numbers 12-20 (Google Slides compatible version) SPLAT 2.4 - with numbers 12-20 (Google Slides compatible version) SPLAT 2.5 - with numbers 12-20 (Google Slides compatible version) SPLAT 1.2 - numbers through 10 (Google Slides compatible version)SPLAT 3.1 - multiple splats (Google Slides compatible version) SPLAT 3.2 - multiple splats (Google Slides compatible version) SPLAT 3.3 - multiple splats (Google Slides compatible version) SPLAT 3.4 - multiple splats (Google Slides compatible version) SPLAT 3.5 - multiple splats (Google Slides compatible version)
SPLAT 4.1 - instant multiple splats (Google Slides compatible version) SPLAT 4.2 - instant multiple splats (Google Slides compatible version) SPLAT 4.3 - instant multiple splats (Google Slides compatible version) SPLAT 4.4 - instant multiple splats (Google Slides compatible version) SPLAT 4.5 - instant multiple splats (Google Slides compatible version) Note: These lessons use a single splat along with a mixture of unit fractions and whole numbers. In Level 11, you control the Splat! SPLAT 11.1 - fraction splats (Google Slides compatible version) SPLAT 11.2 - fraction splats (Google Slides compatible version) SPLAT 11.3 - fraction splats (Google Slides compatible version) SPLAT 11.4 - fraction splats (Google Slides compatible version) SPLAT 11.5 - fraction splats (Google Slides compatible version) SPLAT 1.3 - numbers through 10 (Google Slides compatible version)Note: These lessons use a single Splat! which appears at the same moment as the whole numbers and fractions. Each question instantly presents missing information. SPLAT 12.1 - Instant Fraction Splats (Google Slides compatible version) SPLAT 12.2 - Instant Fraction Splats (Google Slides compatible version) SPLAT 12.3 - Instant Fraction Splats (Google Slides compatible version) SPLAT 12.4 - Instant Fraction Splats (Google Slides compatible version) SPLAT 12.5 - Instant Fraction Splats (Google Slides compatible version) Multiple Splats! with Fractions Note: These lessons include multiple Splats! and you control the timing of the Splats! The entire screen can be seen, the total can be determined, and then Splat! Remember: Each Splat! that is the same color must be covering the same number. SPLAT 13.1 - Multiple Fraction Splats (Google Slides compatible version) SPLAT 13.2 - Multiple Fraction Splats (Google Slides compatible version) SPLAT 13.3 - Multiple Fraction Splats (Google Slides compatible version) SPLAT 13.4 - Multiple Fraction Splats (Google Slides compatible version) SPLAT 13.5 - Multiple Fraction Splats (Google Slides compatible version)
Note: These lessons use multiple Splats! which appear at the same moment as the whole numbers and fractions. Each question instantly presents missing information. Remember: Each Splat! that is the same color must be covering the same number. SPLAT 14.1 - Instant Multiple Fraction Splats (Google Slides compatible version) SPLAT 14.2 - Instant Multiple Fraction Splats (Google Slides compatible version) SPLAT 14.3 - Instant Multiple Fraction Splats (Google Slides compatible version) SPLAT 14.4 - Instant Multiple Fraction Splats (Google Slides compatible version) SPLAT 14.5 - Instant Multiple Fraction Splats (Google Slides compatible version) SPLAT 1.4 - numbers through 10 (Google Slides compatible version)
SPLAT 1.5 - numbers through 10 (Google Slides compatible version)

Splat Through 20
How many dots are under the Splat?

Multiple Splats
Note: Splats that are the same color must cover the same number.

Instant Multiple Splat
Note: An additional feature of this level is the opportunity to ask, "What could the total be?"

Instant Fraction Splat!

Multiple Instant Splats! with Fractions

After reading this blog post, take a look at THE 12 MOST POPULAR MATH STRATEGIES AND DOWNLOADS ON THIS BLOG.

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Splat! for Google Slides - 40 Lessons - Steve Wyborney's Blog: I'm on a Learning Mission.

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For my educator friends who have access to Google Slides, but do not have access to PowerPoint, this post is for you. Since Google Slides does not have the

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It’s a little messy but we have been practicing subitizing and coming up with number sentences that coincide with the variety of ways we saw the dot groupings.

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Math identity activity in Mrs. Gonzalez's 5th grade class.

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Tip: Remember, this is a journey not a destination. Enjoy the amazing ways of thinking your kids will show you!

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Tip: Remember, this is a journey not a destination. Enjoy the amazing ways of thinking your kids will show you!

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A great link for all kinds of different math tasks and resources.

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Create a new document and edit with others at the same time -- from your computer, phone or tablet. Get stuff done with or without an internet connection. Use Docs to edit Word files. Free from Google.

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@BerkeleyEverett (see above)
@Angelaturrou (Angela Turrou)
@meganlfranke (Megan Franke)
@CarrytheZero (Nick Johnson)

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Story problems that incorporate notice and wonder.

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I follow 2 math Facebook groups (Visual Math & Build Math Minds) and they often post about CGI math.  After following the group, just click the search button and type in CGI.

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More beautiful samples of WODB to choose from!

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Try one of these "How Many?" visuals to start the day. What a way to help kids develop math conversation skills.

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Look at these K-6 grade 3 act samples!

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Students solve 85-34 in second grade @ Heritage ES

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Number Talks lend themselves to mental math strategies that transfer to problem-solving.

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Number Talks lend themselves to mental math strategies that transfer to problem-solving.

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First Grade Problem-Solving at Heritage ES

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First Grade Problem-Solving at Heritage ES

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First graders showing their thinking and place value understanding!

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Innovations In Cognitively Guided Instruction

This book lays a foundation for the conceptual understanding fractions and decimals. It shows how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals.

Special Offer: Save 30% off our list price automatically when you buy 15 or more.

"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation."
-Thomas P. Carpenter

This highly anticipated follow-up volume to the landmark Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book:

building meaning for fractions and decimals through discussing and solving word problems

the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking

designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions.

With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.

(click any section below to continue reading)

Contents

Introduction: Issues in Learning Fractions and Decimals: Rethinking Our Approach
1. Equal Sharing Problems and Children's Strategies for Solving Them
2. From the Classroom: Getting Started with Fractions
3. Multiple Groups problems and Children's Strategies for Solving Them
4. Relational Thinking: Connecting Fractions and Algebra
5. From the Classroom: Making Relational Thinking Explicit
6. Understanding Fraction Equivalence and Order
7. Understanding Decimals
8. Understanding Operations on Fractions and Decimals
9. The Long View: Learning to Use Children's Thinking to Guide Instruction

Reviews

This book is enthusiastically recommended to my colleagues and curriculum coordinator, and it is recommended with equal enthusiasm to the readers of Mathematics Teaching in the Middle School.
--reviewer, Mathematics Teaching in the Middle School

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Extending Children's Mathematics: Fractions & Decimals

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This book lays a foundation for the conceptual understanding fractions and decimals. It shows how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Special Offer: Save 30% off our list price automatically when you buy 15 or more.

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https://bookshop.org/p/books/i-can-write-the-world-joshunda-sanders/10135680?ean=9781644420010

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Choral Counting and Counting Collections

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Choral Counting and Counting Collections

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https://bookshop.org/p/books/eyes-that-kiss-in-the-corners-joanna-ho/14691778?ean=9780062915627

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https://bookshop.org/p/books/eyes-that-speak-to-the-stars-joanna-ho/17062103?ean=9780063057753

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https://bookshop.org/p/books/i-am-every-good-thing-derrick-barnes/13444595?aid=3721&ean=9780525518778&listref=children-s-books-i-love-including-mine

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https://bookshop.org/p/books/my-papi-has-a-motorcycle-isabel-quintero/12085160?ean=9780525553410

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https://bookshop.org/p/books/the-proudest-blue-a-story-of-hijab-and-family-ibtihaj-muhammad/114090?ean=9780316519007

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https://www.theconsciouskid.org/indigenous-books

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https://www.theconsciouskid.org/latinx-book-list

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https://www.theconsciouskid.org/lgbtq

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https://www.theconsciouskid.org/muslim-authors

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https://www.theconsciouskid.org/aapi

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https://www.theconsciouskid.org/bhm

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https://www.theconsciouskid.org/antiracist-childrens-books

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Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion

Available Now!

Exploring the intersection of math and literacy, Mathematizing Children’s Literature asks the question, “What if we approached any story with a math lens?” Throughout the book, we learn how to select picture books to meet our math and literacy goals, and how to plan and facilitate three different kinds of read-aloud discussions. Mathematizing Children’s Literature includes dozens of suggestions for mathy read-alouds as well as guidance on choosing books in your own collection to read again with a math lens.

You can create a quote by adding products to your cart and selecting Quote in checkout.

This title is also available through major book retailers, including Amazon.

Shipping Details

In stock. Free ground shipping. No minimum.

“Allison and Tony have crafted such a joyful resource for educators to leverage together a love for literature, a love for math, and an intense desire to better listen to and honor the voices and lived experiences of the children who grace our classroom spaces.”

Angela Chan Turrou
co-editor of Choral Counting & Counting Collections

Many teachers use traditional counting and shape books in math class. But what would happen if we approached any story with a math lens? How might mathematizing children’s literature give learners space to ask their own questions and make connections between stories, their lives, and the world around them? These are the questions Allison Hintz and Antony T. Smith set out to explore in this book as they invite us to consider fresh ways of using interactive read-alouds to nurture students as both readers and mathematicians.

Inside Mathematizing Children’s Literature, you’ll learn how to do the following:

Select picture books according to the goals of the read aloud experience.

Plan and facilitate three kinds of read aloud discussions—Open Notice and Wonder, Math Lens, and Story Explore.

Utilize Idea Investigations—experiences that invite students to pursue literacy and math-focused ideas beyond the pages of the read aloud.

Connect with students’ families and communities through stories.

Along the way, Allison and Antony offer a wide range of picture book suggestions and appendices that include ready-to-use planning templates, a note-taking form, and a bookmark of guiding questions. Mathematizing Children’s Literature is a practical resource you’ll find yourself referring to frequently.

About the Author(s)

Table of Contents

Foreword by Christopher Danielson

Acknowledgments

Note to Readers

Chapter 1: Celebrating the Joy and Wonder of Children’s Thinking

Chapter 2: Mathematizing Interactive Read-Alouds

Chapter 3: Book Types and Selection

Chapter 4: Open Notice and Wonder Reads

Chapter 5: Focused Reads: Story Explore and Math Lens

Chapter 6: Idea Investigations: Extending the Read-Aloud Experience

Chapter 7: Learning Together as Educators

Chapter 8: Family and Community Connections

Appendices

Appendix A: Open Notice and Wonder Planning Template

Appendix B: Questions as Refrain Bookmark

Appendix C: Focused Read Planning Template

Appendix D: Idea Investigation Planning Template

Appendix E: Listening to Students at Work Note-Taking Form

Professional Resources and References

Children’s Literature Bibliography

Index

Credits

Reviews

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Mathematizing Children’s Literature | Stenhouse Publishers

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Available Now! Exploring the intersection of math and literacy, Mathematizing Children’s Literature asks the question, “What if we approached any story with a math lens?” Throughout the book, we learn how to select picture books to meet our math and literacy goals, and how to plan and facilitate thr…

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Math coach, Kassia Omohundro Wedekind, and literacy coach, Christy Hermann Thompson, have spent years comparing notes on how to build effective classroom communities across the content areas. How, they wondered, can we lay the groundwork for classroom conversations that are less teacher-directed and more conducive to student-to-student dialogue?

Their answers start with Hands Down Conversations, an innovative discourse structure in which students' ideas and voices take the lead while teachers focus on listening and facilitating. In addition to classroom stories and examples, Christy and Kassia provide 28 micro-lessons designed to help K-5 students develop and exercise their speaking and listening muscles.

Inside Hands Down, Speak Out you'll learn how to:

Build talk communities that are accessible to everyone, especially those whose voices are traditionally left out of classroom discourse

Analyze classroom conversations in order to plan next steps for developing the classroom talk community

Plan and facilitate three types of conversation across literacy and math

Christy and Kassia believe that the development of dialogue skills is worth the investment of time not only because it has the power to deepen our understanding of literacy and mathematics, but also to deepen our understanding of ourselves, our communities, and the world.
eBook Coming Soon
We offer ebook editions for most of our print titles so you can access on your computer, tablet, or e-reader from several major retailers including Amazon, Barnes and Noble, OverDrive, and ebooks.com. View the full list of retailers here. For eBook purchases of 10+ please email us for a quote. Purchases of 20+ qualify for a bulk discount.

If you previously purchased an ebook from Stenhouse.com, they will remain available in your digital library.

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Math coach, Kassia Omohundro Wedekind, and literacy coach, Christy Hermann Thompson, have spent years comparing notes on how to build effective classroom communities across the content areas. How, they wondered, can we lay the groundwork for classroom conversations that are less teacher-directed and more conducive to student-to-student dialogue?

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High-quality K–12 Curriculum and Assessments

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How you can be good at math, and other surprising facts about learning | Jo Boaler | TEDxStanford

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1:09:55 Guest(s): Amanda Morin, Emily Kircher-Morris

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The Cult of Pedagogy Podcast | Cult of Pedagogy

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Teaching strategies, classroom management, education reform, educational technology -- if it has something to do with teaching, we’re talking about it.

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If you don't know whether or not you are a Recovering Traditionalist, here's how I define us. We are math educators who used to teach math the traditional way.

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It Starts With... ME! CMC — South 2019 Ignite feat. Dr. Kristopher J. Childs

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Sign-up and pick a ready-to-go warm-up!

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Here are 5 weeks of number sense routines (5-10 minute math talks) tailored to each grade K-5. Every slide deck includes a "how to" and a week each of:

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Berkeley Talks About Math Flips and Ways to Use Them

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How to Use Math Flips & Math Visuals as Number Sense Routines Live Interview w/ Berkeley Everett K-8

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Note: For general tips on what Numeracy Routines (e.g. Number Talks, WODB, Estimation 180, Notice/Wonder, Clotheslines, etc.) are, why they are important, and how to begin please click on the Numeracy Routines pages. The following page is specific to Number Talks.

To begin, I'd recommend you attend a session in your District on Number Routines where you can engage in the activities as a learner and see them modelled. If that isn't available to you, I would dig into one of the following books and/or the following websites.

Number Talks
Author Sherry Parrish

Recommend for Intermediate Teachers

​Making Number Talks Matter
Authors Cathy Humphreys and Ruth Parker

Number Sense Routines
Author Jessica Shumway

High Yield Routines K - 8
Authors Ann McCoy, Joann Barnett, Emily Combs

Dot cards
Dice
Dominoes
Five and Ten Frames
Rekenreks
Hundreds Frames
Pictures of items
Images of real life arrays - this PPT has many great images - Greg Tang books also have great images that can be used.
Number Strings - Video example of a Grade Four class
Any addition, subtraction, multiplication, or division question

The teacher will present a problem on the board. Students will be given thinking time to solve the problem mental. I typically introduce "Thinking Thumbs" and explain to the students that I do want them to rob their friends of their thinking by blurting out answers. Sherry Parrish feels that this strategy is better than having students raise their hands because she when several hands are in the air, students often stop thinking because they are used to teachers calling on the students with raised hands for the answer. When students are ready, they will indicate by holding up one thumb up to show they have a solution. If the students have more than one way to find the solution they will raise a finger by their thumb. When most students show that they have a solution (e.g., majority of thumbs are up) that is when I ask students to share their thinking. Try not to rush the thinking time as Parrish states "the aim is not to reward speed, but to focus on the thinking about mathematical relationships (Parrish, 2010, Number Talks, pg. 18).

Next I ask students to share their answers. I record all of these, even the incorrect answers. In Number Talks, we use incorrect answers to discover misconceptions students have. Next students are asked to communicate their thinking. What strategies did you use? The teacher will record what the students says and ask if anyone used a different strategy. The rest of the class is actively listening and thinking about the strategies being shared. They are considering and thinking about other students' strategies and checking to see if they make sense. Through this, they are building their own repertoire of strategies. The teacher facilitates the discussion and is responsible for asking guiding questions, such as "How is this strategy similar or different to _______'s strategy?", helping students to make connections.

Before you provide a question for a Number Talk, you will want to think through all the potential responses your students might provide. You will need to consider how you will capture each student's thinking.

Some potential strategies for addition include:

counting all

counting on

doubles/near doubles

making tens

friendly numbers (e.g., 23 + 48 - Student adds 48 + 2 to get 23 +53 = 73 and then takes away 2 from 71

compensation (e.g., 8 + 6 The student takes away one from 8 and adds one to 6 to get 7 + 7)

decomposing numbers by place value (e.g., 12 + 43 becomes (10 + 40 and 2 + 3)

adding in chunks (e.g., 45 + 28 The student begins by adding 45 + 20 = 65 and then 65 +8 = 73)

Some potential strategies for subtraction include:

adding up

decomposing numbers into easy to remove parts e.g., 65 - 32 The student thinks of it as 65 - (10 + 10 + 10 + 2)

decomposing and subtracting by place value components

Teacher Education By Design (tedd.org/about/TEDD.org) - Created by the University of Washington designed to support teachers
You will need to register to access this free site full of amazing resources. Nested under the "Content Area" of Mathematics you will find links to Quick Image, Number Strings, Mental Math and True/False number talks. In part one, the introduction, you will find everything you need to get you started, such as videos from various grades, and teacher info sheets. In part two, the planning section you will find templates and suggestions. Part three, enact, provides key resources you can use and part four, provides valuable reflection prompts.

Number Talk Images - ntimages.weebly.com/ntimages.weebly.com - Curated by Pierre Tranche
This website has a collection of images, including dots, number strings, arrays that can be used for Number Talks.

Janice Novakowski - Richmond School District's Math Consultant Teacher.
Janice has done a lot of work in classrooms with Number Talks and has written about these experiences on her blog. I highly recommend you click on this link to her blogs.sd38.bc.ca/sd38mathandscience/?s=number+talks website to see the many ways Number Talks can be used in various classroom contexts.

Number Talks Build Numerical Reasoning by Sherry Parrish

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Note : For general tips on what Numeracy Routines (e.g. Number Talks, WODB, Estimation 180, Notice/Wonder, Clotheslines, etc.) are, why they are important, and how to begin please click on the...

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Math by the Book: Kindergarten supports strategically teaching kindergarten mathematics skills and concepts through children's literature. Packaged with Grandma's Purse by Vanessa Brantley-Newton-and highlighting 20 different children's books-this resource will support teaching and learning throughout the year.
Through stories, math comes to life
Stories create a space where students can explore their mathematical thinking and understanding in unique ways. Children's literature offers memorable opportunities to discuss mathematical ideas and connect those ideas to meaningful contexts.

Math by the Book is a K-5 resource dedicated to teaching mathematics strategically through literature. Math is found in all kinds of stories, but how do we connect the reading of a story to significant math learning? Real learning comes from authentically and purposefully linking a story to important mathematical concepts and then, through the story context, exploring those concepts more deeply.
In Math by the Book: Kindergarten, you'll find:

a curated list of 20 children's books linked with kindergarten math skills and concepts

classroom-tested lessons and activities aligned with each suggested children's book

additional discussion prompts and project ideas for extending student thinking

supporting online resources to simplify lesson planning and prep

tips for selecting other books to integrate into math instruction

guidance for designing original math tasks that link books to math concepts.

A good story brings math to life. It enhances our teaching, spurs discovery, and supports problem solving. Math by the Book helps students understand the structure and purpose of math in new ways through literature.

Math by the Book: Kindergarten is packaged with Grandma's Purse by Vanessa Brantley-Newton. Enhanced educator guidance is provided for this featured book, including video coaching from Sue O'Connell.

Math by the Book is a K-5 series offering different books at each grade level. To see all six books, please click here to visit the Math by the Book series page.

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Math by the Book: Kindergarten supports strategically teaching kindergarten mathematics skills and concepts through children's literature. Packaged with Grandma's Purse by Vanessa Brantley-Newton-and highlighting 20 different children's books-this resource will support teaching and learning throughout the year. Through stories, math comes to life Stories create a space where students can explore their mathematical thinking and understanding in unique ways.

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Math by the Book: First Grade supports strategically teaching grade 1 mathematics skills and concepts through children's literature. Packaged with Thanking the Moon: Celebrating the Mid-Autumn Moon Festival by Grace Lin-and highlighting 20 different children's books-this resource will support teaching and learning throughout the year.
Through stories, math comes to life
Stories create a space where students can explore their mathematical thinking and understanding in unique ways. Children's literature offers memorable opportunities to discuss mathematical ideas and connect those ideas to meaningful contexts.

Math by the Book is a K-5 resource dedicated to teaching mathematics strategically through literature. Math is found in all kinds of stories, but how do we connect the reading of a story to significant math learning? Real learning comes from authentically and purposefully linking a story to important mathematical concepts and then, through the story context, exploring those concepts more deeply.
In Math by the Book: First Grade, you'll find:

a curated list of 20 children's books linked with first-grade math skills and concepts

classroom-tested lessons and activities aligned with each suggested children's book

additional discussion prompts and project ideas for extending student thinking

supporting online resources to simplify lesson planning and prep

tips for selecting other books to integrate into math instruction

guidance for designing original math tasks that link books to math concepts.

A good story brings math to life. It enhances our teaching, spurs discovery, and supports problem solving. Math by the Book helps students understand the structure and purpose of math in new ways through literature.

Math by the Book: First Grade is packaged with Thanking the Moon: Celebrating the Mid-Autumn Moon Festival by Grace Lin. Enhanced educator guidance is provided for this featured book, including video coaching from Sue O'Connell.

Math by the Book is a K-5 series offering different books at each grade level. To see all six books, please click here to visit the Math by the Book series page.

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Math by the Book: First Grade supports strategically teaching grade 1 mathematics skills and concepts through children's literature. Packaged with Thanking the Moon: Celebrating the Mid-Autumn Moon Festival by Grace Lin-and highlighting 20 different children's books-this resource will support teaching and learning throughout the year.

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Most of the books are in your current classroom library! 

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https://www.heinemann.com/series/118.aspx

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How Do We Connect Families to This Work?

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How Do We Connect Families to This Work?

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Help Families improve their our learning curves

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Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series)

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Amazon.com: Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series): 9781544374833: Liljedahl, Peter: Books

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Understanding the Math We Teach and How to Teach It | Stenhouse Publishers

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Marian Small has written the kind of book teachers will keep on their closest shelf as they explore and return to the big ideas of mathematics. In her new resource, Understanding the Math We Teach and How to Teach It, Marian brings the support and insight teachers need to teach math with clarity and…

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More Images to choose from-Enjoy!

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Physical Address: Chace Mill, 1 Mill Street, Suite 249, Burlington, VT 05401 | Mailing Address: PO Box 482, Winooski, VT 05404 Phone: (802) 540-0427 | Email Us All Learners Online - Member Login

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Can You Do Counting Collections at Home?

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Can You Do Counting Collections at Home?

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UCLA Math Project provides resources for Math at Home: https://sites.google.com/view/uclamp-math-at-home/home?authuser=0

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Subitizing Builds Fluency!

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Subitizing! This ability to instantly "see" how many is a critical component in young students developing number sense. There are two types:

1. Perceptual subitizing -the ability to see a small number of objects and know how many there are without counting. For example, this skill allows us to realize we "rolled six" on a die without counting. It is usually an instantaneous realization, and generally applies to small amounts of objects.

2. Conceptual subitizing -the ability to see more than one group and add them together to find the total. This one takes a little more effort as it requires recognizing smaller groups and adding them up.

Studies cite the use of subitizing in primary grades as the key to students being able to pass algebra. It builds the skills needed to move toward proficiency in a sense of equality and balanced equations, spatial sense, and number sense. We know subitizing is an important part of building procedural fluency through conceptual understanding, but how do we prepare students for this?

Students need tangible experience working with number sets-and if we can create a tangible experience that is also FUN, success will come much more quickly. A common strategy is to work with dot arrangements, but any simple symbol can be used, such as stars or squares. To add the fun factor, I expanded on an idea from my colleague, Mary Gong, who used spaceships in her primary classroom. Her "spaceships" were nothing more than paper plates with large dots made with stickers or Bingo dauber, but were effective nonetheless. You can get as creative as you like here but be sure to stick with simple shapes and vary the patterns on each. First, I randomly provided students with paper plates with small sets of 3-5 stars. I asked them to silently maneuver their "spaceships" to another student with a matching number of dots. I then led a discussion, using the prompt, "How did you know the set has the same number when it looks different?"

After this activity, I placed students in two groups to explore more concepts. I asked Group 1 to "fly" to a student in Group 2 with a spaceship that had fewer dots than their own. Then, I asked Group 2 to fly to a student in Group 1 with a spaceship that had more dots. I also had each student hunt for a copilot, whose spaceship combined with his/her own, totaled a certain number. You can easily do this in a whole group setting and mix up the instructions however you like.

Let's get started! Here are a few examples of how you can help young learners begin to access subitizing.

Step 1 Matching equivalent quantities-build the idea of conservation of numbers, same number different representation

Step 2 Comparing number and combining multiple sets to create sums

Step 3 Building relationships by linking Real World, Linguistic, Representational, and Symbolic using the above activities

Once students become familiar with subitizing, you can initiate lively discussions to use as springboards for other subitizing challenges and whole number sense routines. For example, display a dot arrangement, making sure numbers are appropriate, for 3-5 seconds then ask, "What did you see and how did you see it?" I used arrangements of eight.

Many of my students responded with eight, so It was very important for me to accurately represent what they saw to inform our discussions. Here are some examples:

These kinds of activities are precursors to helping students have access to algebraic concepts. They help create a sense of equality, conservation of numbers, decomposing, and more. Being able to recognize equations as being balanced on both sides instead of just where the one correct answer goes is a huge development and deepens number relationships for students. After students have had some time to work with dot arrangements like this, let them have opportunities to explore true or false statements such as 4 + 2 + 2 = 6 + 1 + 1.

As students gain confidence in subitizing and their number sense, it is important to consider ways to differentiate for students based on their points of understanding. These could easily be created during centers or learning stations. Having Bingo daubers or pre-cut, one-inch squares will allow students to quickly create their own arrangements based on the numbers they need to practice. Some students can be at five while others are at nine, etc. Slide these into a sheet protector so students can easily exchange their arrangements to find the different ways they see to make the total number represented. If ready, their equations should match their drawn models. One caution, make sure students are actually subitizing. Circling ten individual dots to say 1+1+1+1+1+1+1+1+1+1=10 is not actually subitizing! Here is a sample launch: Use eight color tiles to make an arrangement. What numbers match your arrangement?

Student samples:

Note, the first student was able to accurately subitize and create equations based on what he/she saw. The second student shows great knowledge of working with ten and flexibility of thinking, but is no longer actually subitizing. It looks like this student is ready for a higher number!

Communication and productive discourse are essential to help students clarify information, deepen their reasoning, and move learning to long-term memory. Consider helping them learn with some sentence frames such as these:

I agree with _____ because _______.

I do not understand _________. Can you explain this again?

I disagree with _______ because _______.

How did you decide _______?

I am thinking about this problem differently. Here is the way I solved it: _____________.

My way is different from_____. Instead of____, I_____________.

Can you explain the difference between ________and ________?

Interested in learning more about counting, subitizing, and other critical important foundations for math learning? You can explore Lisa's presentation from the recent NCTM 2019 conference, Tool Time: It's All About the Connections!, by visiting https://mathsolutions.com/contact-us/speaker-presentations/

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Subitizing! This ability to instantly "see" how many is a critical component in young students developing number sense. There are two types: 1. Perceptual subitizing -the ability to see a small number of objects and know how many there are without counting. For example, this skill allows us to realize we "rolled six" on a die without counting.

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Home

CHALLENGING MATH PROBLEMS WORTH SOLVING

DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL

WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS?

HERE'S OUR GROWING COLLECTION

WANT TO SHARE OPEN MIDDLE WITH OTHERS?

CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK

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CHALLENGING MATH PROBLEMS WORTH SOLVING DOWNLOAD OUR FAVORITE PROBLEMS FROM EVERY GRADE LEVEL Get Our Favorite Problems Take The Online Workshop WANT GOOGLE SLIDE VERSIONS OF ALL PROBLEMS? HERE’S OUR GROWING COLLECTION Get Google Slide Versions WANT TO SHARE OPEN MIDDLE WITH OTHERS? CHECK OUT THESE FREE WEBINARS TO HELP TEACHERS RETHINK CLASSWORK Elementary Version

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Copy For Fellows/Mentors_Getting Ready for CGI 9/14/22

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Maht Learning Center has online apps that you and students can use to show student thinking

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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The book introduces Universal Design for Learning for Math, a way to design math classrooms that empowers disabled and neurodiverse students to engage…