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Graham Fletcher--Early Number & Counting

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Graham Fletcher--Early Number & Counting

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Progression of Early Number and Counting

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GREAT for student engagement and can be edited to match your lesson!

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Wordwall - Create better lessons quicker

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Engage Others Using Relevant Question Prompts

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Where were you born? What is your favorite memory of that place?, Share your favorite childhood memory, What is a special skill that you possess?.

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Check out the latest draft of the new math standards!

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Creating Number Patterns with Cuisenaire Rods

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Creating Number Patterns with Cuisenaire Rods

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This has a wide variety of activities.

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Blog About How Teacher Used Cusenaire Rods to explore math concepts.

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Blog About How Teacher Used Cusenaire Rods to explore math concepts.

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Mr Gregg held up two Cuisenaire rods and said, "can you find two other Cuisenaire rods with the same difference?"

Then, "can you find other pairs with the same difference?"

We thought there would be an infinite set of these, but here are some of the ones we made:

We talked about what written subtraction sentences these represent.
Samyak and Marie made a really good mathematical claim about these.

And there were plenty more things we noticed in 4B:

Just about all of us thought Marie and Samyak's claim was true, so afterwards we did some drawing and writing to explain why we thought so. Here's some examples:

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Mr Gregg held up two Cuisenaire rods and said, "can you find two other Cuisenaire rods with the same difference?" Then, "can you find other pairs with the same difference?" We thought there would be an infinite set of these, but here are some of the ones we made: We talked about what written subtraction sentences these represent.

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Introduction and activities to get started using cuisenaire rods!

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A great hands-on activity using equal pieces of cuisenaire rods to model equal partitioning on a number line!

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More on what they are and some websites that give examples!

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210JMetke-Low Floor High Ceiling Handouts

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How to write Higher Level Cogntive Demand Tasks

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How to write Higher Level Cogntive Demand Tasks

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Team Disucssion tool for writing higher math tasks

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Another great strategy to enhance conceptual understanding!

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Division Quilts - Making Division Visual

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John Hattie developed a way of synthesizing various influences in different meta-analyses according to their effect size (Cohen's d). In his ground-breaking study "Visible Learning" he ranked 138 influences that are related to learning outcomes from very positive effects to very negative effects. Hattie found that the average effect size of all the interventions he studied was 0.40. Therefore he decided to judge the success of influences relative to this 'hinge point', in order to find an answer to the question "What works best in education?"
Originally, Hattie studied six areas that contribute to learning: the student, the home, the school, the curricula, the teacher, and teaching and learning approaches. (The updated list also includes the classroom.) But Hattie did not only provide a list of the relative effects of different influences on student achievement. He also tells the story underlying the data. He found that the key to making a difference was making teaching and learning visible. He further explained this story in his book " Visible learning for teachers ".

John Hattie updated his list of 138 effects to 150 effects in Visible Learning for Teachers (2011), and more recently to a list of 195 effects in The Applicability of Visible Learning to Higher Education (2015). His research is now based on nearly 1200 meta-analyses - up from the 800 when Visible Learning came out in 2009. According to Hattie the story underlying the data has hardly changed over time even though some effect sizes were updated and we have some new entries at the top, at the middle, and at the end of the list.

Below you can find an updated version of our first, second and third visualization of effect sizes related to student achievement.
Order VL for Teachers!

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Hattie effect size list - 256 Influences Related To Achievement

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Hattie's updated effect size list of 256 influences across all areas related to student achievement.

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My fav--so easy to use and fun!

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Picker Wheel - Spin the Wheel to Decide a Random Choice

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Picker Wheel is a wheel spinner for a random picker. Various functions & customization. Enter choices or names, spin the wheel to decide a random result.

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Check this one out--you can plan out how you want to encourage young mathematicians with videos and activities!

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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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Check out low floor-high ceiling task for open mathematics questions~

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100 Mathematics Affirmations for Students Handout

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100 Mathematics Affirmations for Students Handout

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Coaching is a supportive, job-embedded, ongoing, and personalized form of professional learning. The work of coaching is built on the goal of supporting and empowering teachers to increase student learning, create positive student identities, and develop confident users of mathematics. Just as becoming a highly skilled teacher is a journey, so too is becoming a highly skilled mathematics coach or developing a robust mathematics coaching program.

The nine essential actions for mathematics coaching and coaching programs as identified in the NCSM Essential Action series: Coaching in Mathematics Education (2018) are shown below. Select each action to explore tools, videos, and books designed to support and strengthen mathematics coaching practices and programs.

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Coaching is a supportive, job-embedded, ongoing, and personalized form of professional learning. The work of coaching is built on the goal of supporting and empowering teachers to increase student learning, create positive student identities, and develop confident users of mathematics.

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Sample Ideas and Instructional Activities

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Sample Ideas and Instructional Activities

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CCSS Math Activities provides tools to support K-12 teachers in teaching math by engaging students through activities and tasks and informing teachers about the Smarter Balanced Assessment.

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

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Over the past 5 years, this blog has seen nearly 3.1 million views. The most popular strategies from the blog all have one thing in common: They include downloadable resources and strategies which can be immediately used in the classroom. They are also free! I'm sometimes asked these two questions:

"Which are the most popular strategies and downloads?"

"Is there a way you could put them in one place?"

Here they are.

Part 1: The Quick List for Easy Access

(See Part 2 for a Deeper Dive.)

Cube Conversations - and the follow-up post 80 Printable Cube Conversations Pages and 4 Instructional Strategies

The Maze Hundreds Chart - and also the post that followed, Strategies for Using the Maze Hundreds Chart

Tiled Area Questions - and the accompanying 3 Powerful Tile Strategies (and 40 New Downloadable Pages).Also note: Primary Tile Questions is part of this series.

More detailed information - AND PICTURES - can be found in Part 2.
Splat!
Two years ago - nearly to the day - I posted the first Splat! lesson. Since that time, I've posted 21 levels on the blog through various posts. The sequence of lessons ranging from very small numbers through algebraic reasoning with multiple variables has proven to be the single most popular concept. There are other versions of Splat! that I have yet to share. Among them, Splat! in Motion and the Rare, Rogue, Red Splat! are in the wings and I look forward to sharing them!
Esti-Mysteries: Estimation Meets Math Mysteries
This concept has been really fun to share. Estimation and a wide range of math concepts are fused together in a very invitational format. The first time you use Esti-Mysteries, you may be amazed at how deep the conversation goes - and at how loud the cheering becomes when you reach The Reveal at the very end of the journey. Your students will ask you for another Esti-Mystery right away.
51 Esti-Mysteries
If it looks like I posted the same thing twice, that's because the original Esti-Mystery post only had 12 Esti-Mysteries. I received so many requests for more Esti-Mysteries, that I decided to write 51 more during the first few months of this school year. I planned to post 3 per week for 17 weeks in a row. The result is that there are a LOT of Esti-Mysteries suitable for many grade levels that can be immediately downloaded and used in class.
The Fraction Splat! Series
The Fraction Splat! Series is one of my favorite resources. Following Splat! the fraction series dives into some much deeper territory and invites students to think about numbers in many different ways.
20 Days of Number Sense and Rich Math Talk (K-12)
The purpose of this series was to create a set of resources that any teacher - at any grade level - could use for 20 days in a row. It's mean to provide rich experiences to students and a rich journey for teachers. While the series contains entirely exclusive content, it draws upon 4 routines found in my blog. Days 1-5 are Estimation Clipboards. Days 6-10 are Splats! Days 11-15 are Esti-Mysteries. Days 16-20 are Cube Conversations. Each of the 20 days is labeled so that it is very easy to find which grade level to use. Any teacher at any grade level can use this single post to have access to 20 days of rich math discourse - and may even discover a new part of their teaching journey just by listening to the insights of the students.
Splat for Google Slides - 40 Lessons
After writing Splat! I heard from many educators who do not have access to PowerPoint. So, I rewrote the series from scratch with a new combination of animations that would make it work in Google Slides. This set is for everyone who has Google Slides and wants to use Splat!
100 Subitizing Slides and 10 Challenge Patterns
This is an all-time favorite resource. The concept is a set of 10 lessons. Each lessons shows a series of quick subitizing images (which also energizes the classroom) then quickly transitions to a challenge dot pattern. It's more than subitizing, and it's more than a dot talk. It's the combination of the two that make this work so well. The 100 slides are set in 10 lessons and there are printables to match the challenge patterns.

Cube Conversations - and the follow-up post 80 Printable Cube Conversations Pages and 4 Instructional Strategies

Cube Conversations is a series in which I feature a 3-D cube structure and then (with a click) allow you to show your students how it could be decomposed usefully. The shape changes colors and surprising groupings appear. Then, with two more clicks, two more examples of how the shape can be decomposed appear before the students. Many of the recognize similarities to how they have decomposed it already. The animations serve as an example as 1 more shape appears and allows the students to decompose it 4 different ways. This is one that you really have to see and experience to detect the full power of how it propels student insights.
The Estimation Clipboard
Estimation has always been near and dear to me. Yet, I've seen so many, many times when students are given ONE thing to estimate (1 jar, 1 image, 1 length of rope) and then they move on to something completely different. The Estimation Clipboard offers something new in that it provides 4 highly similar images in a row. Students estimate, share their reasoning with each other, and eventually see the answer... And then they are given a 2nd image that is similar to the first one. They have a rich context in which to estimate. Then they see a third image - and then a fourth. After you've taught your class the Estimation Clipboard routine, you are very likely to hear even more cheering in the classroom.

The Maze Hundreds Chart - and also the post that followed, Strategies for Using the Maze Hundreds Chart

This interactive hundreds chart allows you to create mazes on the screen in front of your students. Better yet, it allows them to amaze you with their thinking. It's hard to describe exactly how this chart works without showing it in person - or guiding you to the video. I encourage you to take a look at the post, watch the video, and see just how this highly versatile chart works.
The Animated Multiplication Table
This interactive PPT file allows you to see the multiplication table - and many of the relationships that sometimes stay hidden - in many different, vivid ways. Take a look at the video, and you will see what I mean.

Tiled Area Questions - and the accompanying 3 Powerful Tile Strategies (and 40 New Downloadable Pages).Also note: Primary Tile Questions is part of this series.

I was going to make this list show the top 10 pages - but when I saw that one of my all-time favorite strategies wasn't within the list of the top 10 page views on my blog, I knew it needed to be shared again. This strategy can travel into so very deep, very rich, and very colorful territory. I love this strategy so much that I actually wrote 3 blog posts about it.

I am certain that this list will change over time. Some of these posts (like Splat!) have been around for two years, while others (like 51 Esti-Mysteries) have only been around for a handful of months.

Thank you for all of your questions and support. I hope this helps to answer these two questions:

"Which are the most popular strategies and downloads?"

and

"Is there a way you could put them in one place?"

I look forward to reflecting on this post in the future and seeing how it changes. There are many new resources which I'm excited to share very soon!

All my best,

Steve

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The 12 Most Popular Math Strategies and Downloads - Steve Wyborney's Blog: I'm on a Learning Mission.

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Over the past 5 years, this blog has seen nearly 3.1 million views. The most popular strategies from the blog all have one thing in common: They include

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The Multiplication Advantage Video #1:  The Chart

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Estimation 180 Teacher Guide

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Daily ideas to build estimating skills and reasoning!

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ESTIMATION 180 Tasks Access Estimation 180 tasks by clicking a group of 20 days below.

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Math.K.OA.A.1

Common core State Standards

Math: Math

K: Kindergarten

OA: Operations & Algebraic Thinking

A: Understand addition, and understand subtraction

1:
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)

Download Common Core State Standards (PDF 1.2 MB)

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Math.K.OA.A.3

Common core State Standards

Math: Math

K: Kindergarten

OA: Operations & Algebraic Thinking

A: Understand addition, and understand subtraction

3:
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)

Download Common Core State Standards (PDF 1.2 MB)

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Discussion and Supporting Materials

Thought starters

1. Why is it helpful for students to discuss the mental images they formed?

2. Ms. Latimer takes multiple student answers to the same question. What effect does this have?

3. How could this lesson be connected with addition and subtraction?

4. See also Mathematical Practice Standard 7 in the CCSS?

School Details

Lakeridge Elementary School
7400 South 115th Street
Seattle WA 98178

Data Provided By:

Teachers

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Quick Images: Visualizing Number Combinations

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Stephanie Latimer begins her lesson on quick images by showing students an image of eight objects. She shows the image for only three seconds, which discourages students from counting by ones. Students put their thumbs up when they think they know how many objects are shown in the image.

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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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Math / Kindergarten Number Talk Resources

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New to Number Talks? Read the following article to find a summary of the Number Talks idea! (Content for slides below come from Number Talks by Sherry Parrish) (The slides above were compiled by Mary Elizabeth Mendenhall from Griffin RESA.)

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This website has many different activities---not just cuseniare rods. Not all activities are free though.

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Topics: Addition, subtraction, measurement, skip counting
Materials: See specific lessons
Recommended Grade: K, 1, 2
Common Core: K.CC.B.4, K.CC.B.5, K.OA.A.1, K.OA.A.2, K.OA.A.3, 1.OA.A.1, 1.OA.A.2, 1.OA.D.7

OVERVIEW
This series of lessons is meant to introduce Cuisenaire rods in a creative, engaging way, and see how Cuisenaire rods can illuminate and motivate addition, subtraction, and measurement.

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Topics: Addition, subtraction, measurement, skip counting Materials: See specific lessons Recommended Grade: K, 1, 2 Common Core: K.CC.B.4, K.CC.B.5, K.OA.A.1, K.OA.A.2, K.OA.A.3, 1.OA.A.1, 1.OA.A.2, 1.OA.D.7 OVERVIEW This series of lessons is meant to introduce Cuisenaire rods in a creative, engaging way, and see how Cuisenaire rods can illuminate and motivate addition, subtraction, and measurement.

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Final Version.  Online Resources for all 4 books  