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For making student thinking visible

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Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011.

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Before I travelled to NCTM I was finishing up some district PL with K-1 teachers. As part of the workshop, teachers were asked to engage in a Number Sense Trajectory Cut-N-Sort

match header and descriptor

place in the order that students learn number

Easy enough right?

Of all the times I've used this activity only a handful of teachers have correctly ordered the trajectory. FWIW-I had no idea number sense started with subitizing and comparison either.

Personally, it's a favorite activity because it helps identify teacher misconceptions, which in turn helps move students through the learning progression. Even though it shines a light on misconceptions, teachers really like it and that has to count for something.

After teachers completed their poster we shared and discussed using the K-1 Learning Trajectory document below.
Let me be clear... this is by no means my work.
I created this document to be included in the Georgia Frameworks 5 years ago. This work is a mash-up from 3 of the most respected people in K-2 mathematics and they are educators that have drastically influenced the teacher I am today; John Van de Walle, Doug Clements, and Julie Sarama (who I just realized are on twitter...score!).

I shared this with some teachers after Christina's session at NCTM. She did an amazing job explaining the importance of number relationships as mentioned by Van de Walle. Since then I've received some emails asking me to share this trajectory, so I figured I'd share here as well.

Be sure to include this book on your summer reading list. It changed the way I interact with students in the primary grades and I keep referring back to it 5 years later. Thanks Doug and Julie for making us all smarter!

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Before I travelled to NCTM I was finishing up some district PL with K-1 teachers. As part of the workshop, teachers were asked to engage in a Number Sense Trajectory Cut-N-Sort match header and descriptor place in the order that students learn number Easy enough right?

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This is from the ATMIM conference. Great resources for PK and K

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Resources We Love Need some new ideas for your classroom or to share with caregivers? Check out videos of some of our favorite math games and also virtual lesson examples. Early Numeracy Math in PK and Kindergarten is critical! Check out our videos to add some new engaging activities to your classroom or home.

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Learn to distinguish between high and low-quality assignments. The Student Work Library rates over 70 assignments on how well they align to college and career-ready standards.

Want More?

Enter your email to get other relevant resources delivered straight to your inbox.

Bring TNTP to your school system

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Learn to distinguish between high and low-quality assignments. The Student Work Library rates over 70 assignments on how well they align to college and career-ready standards. Enter your email to get other relevant resources delivered straight to your inbox. Bring TNTP to your school system

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Launch is how we use the first 5-15 minutes of our math block for purposeful, discussion-rich number sense routines in our classrooms. Learn more!

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Same But Different

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Same But Different is a powerful routine for use in math classrooms. The activity of same but different is an activity where two things are compared, calling attention to both how they are the same and how they are different.

This apparent paradox is the beauty of the activity. It is important to notice the word BUT. Instead of making a choice - am I going to prove that these are the same or am I going to prove that they are different - students are considering how two items can be both. This is a critically important distinction. Not same OR different, rather same BUT different.

I learned about the idea of same but different years ago when working with a speech and language pathologist who specializes in executive functioning disorders for teaching children grayscale thinking. Grayscale thinking is the ability to see the world as having some middle ground versus being a world of black and white. For example, there is something between happy and sad, or in between short and long, etc. People who have trouble with grayscale thinking tend to be rigid and get stressed when life doesn't fall into one category or another. "The problem with black and white thinking is that it usually does battle in a world that is nuanced and gray," says Byron Williams in his article on the subject. The routine of same but different helps call attention to the features of things - and how we can connect something new to something we are already familiar with, helping to develop flexible gray scale thinking.

For example, think of a young child who only likes to play with HIS truck. We can compare his trucks to someone else's truck and notice all of the ways the two trucks are the same. We can hone in on what it means to be a truck - 4 wheels, big, an overall conversation about "truckness." With this in mind, we can say to an anxious child, "So these are both trucks. This is your truck, and this is your friends truck. They are different, but also the same. They are trucks."

We all know someone who struggles with this type of thinking. For me, this was my son. Such conversations became the norm always pointing out how things were the same but different, such as, "We are at the beach! You know all about beaches. There's sand, and water. We swim. But THIS beach is different. There's a dock we could swim out to!" We were calling our son's attention to the common features of things, making things comfortable while helping him form a connection to something new. The amazing thing was that through using this language explicitly and practicing this repeatedly, he began to do the same. He began to attend to categorical thinking and the features of things and learned to make links and connections. His world became less black and white.

I believe having this insight from the point of view of speech and language pathology we could profoundly impact mathematical reasoning with the routine of same but different.

One of the reasons students struggle in math is that they fail to make connections. For some children (those lacking grayscale thinking) every concept they learn is its own entity without any connection to the larger network of mathematical ideas. Just like the young child who only likes his trucks, someone who has poorly developed number sense might see each number as its own thing, and not part of the larger number system. Ask a young child where they can find 8 on a number line to 10. If they don't race towards the end of that number line knowing it's near ten, but instead start at one and make their way up the number line, that could be an indication that they are lacking a systematic understanding of the counting system. They can only locate 8, for example, by considering each consecutive number starting at 1. A mathematical conversation using the language same but different that calls attention to how a new concept in math is the same as that other familiar and comfortable concept but different in a specific way could be a tremendously useful conversation in growing that network of connections. I believe this could also reduce anxiety as children become the sense makers in the conversation.

All roads always lead back to math.

In learning about this routine for helping with executive functioning concerns, light bulbs were going off for me. I thought how same but different is basically an exercise in understanding equivalence. It has always bothered me that students are told 4/8 is the same as 1/2 ... well yes and no! They do have the same value, but the pictures in my mind of these two fractions are very different. Sure, they are the same in value but they are also different. And Place Value - one ten is the same as ten ones, but it is also something different. There's the link from fractions to decimals and percents to consider. I realized the possibilities were endless.

Thinking about early number, we can look at different images for any number - say 4 - and notice that while all of these images of 4 are the same in that they are 4 items, they are different in their arrangement. For place value understanding, this idea gets at the crux of its complexity. We introduce children to a new unit called a ten that is simultaneously two things - one ten and ten ones. One ten is the same value as ten ones, but it is different in that it is one ten! Confusing, right? By calling children's attention to each new concept and how it is the same in some way to something they already know, but different in a key way, we help to grow their network of connections and foster a robust understanding of concepts. We can continue to play this game walking through topics .. from counting to subitizing, from thinking in ones to thinking in tens, from understanding addition to understanding subtraction, linking addition to multiplication, division to fractions, fractions to decimals to ratio ... it goes on and on and on!

When using the same but different routine students are forced to look at the features, the characteristics, the defining qualities of what we are comparing. They notice the overlap of ideas as well unique distinguishing qualities. But specifically saying, "these two things are the same" has a way of lowering cognitive tension and is the beginning of building a bridge to understanding. Using this explicit language with students (How are these the same but different?), I see an opportunity for a deep impact on student learning. By using the images on this website, as a routine, we have an activity ready for use in the classroom, but at a more important deeper level, we are teaching a way of thinking: grayscale thinking, categorical thinking; building a network of ideas but also an approach to how we learn and think about all of mathematics.

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Why use this concept - SAME BUT DIFFERENT MATH

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I learned about the idea of same but different years ago when working with a speech and language pathologist who specializes in executive functioning disorders for teaching children grayscale thinking. Grayscale thinking is the ability to see the world as having some middle ground versus being a world of black and white.

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Mathematical Questions  to Ask to support Thinking and Learning

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Mathematical Questions  to Ask to support Thinking and Learning

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Questions to support mathematical thinking 

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These descriptions of the MPs are very helpful

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_Making The CCSS Math Practices Readable PDF

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Number talks with visuals etc.

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Google has announced that Jamboards will become "read-only" on October 1, 2024 and will disappear completely on December 31, 2024 ( https://support.google.com/jamboard/answer/14084927?hl=en). While we are disappointed in this news, KCM is dedicated to providing resources to support teachers. All KCM Jamboards will remain available for the 2023-2024 academic year. We have begun the process of researching options for converting or updating our current Jamboards to a new format and plan to have the revised resources available in the fall of 2024.

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Google has announced that Jamboards will become "read-only" on October 1, 2024 and will disappear completely on December 31, 2024 ( https://support.google.com/jamboard/answer/14084927?hl=en). While we are disappointed in this news, KCM is dedicated to providing resources to support teachers. All KCM Jamboards will remain available for the 2023-2024 academic year.

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Math Games with Conceptual Understanding

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Math Games with Conceptual Understanding

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"Sheppard offers everything from early math to pre-algebra. The lessons include interactive activities to practice concepts. Students can shoot fruit, pop balloons, and even play math man (the math version of pac man!). Fractions, place value, money, and basic operations are some of the areas that are covered. Check it out at https://www.sheppardsoftware.com/math.htm. "
--Shannon Jakeman , sjakeman.blogspot.com

"Online math games, like the ones that you'll find for free at Sheppard Software, provide a valuable opportunity for children to learn a great deal while they're having fun. The games at Sheppard Software are well written, interactive and very fun to play.

It can be very difficult for parents to find productive and worthwhile activities for children on the Internet; however fun online math games do offer a wonderful alternative.

This free section of Sheppard Software was written for children. Mostly all of the material you'll find at the site is completely free for kids to use. These fun online math games cover all of the math fundamentals, including early math, basic and mixed operations, fractions, pre-algebra, dollars & cents and place value. While teachers often use worksheets to solidify the math concepts learned in the classroom, these sort of games actually have the same educational impact on the child, and the format of the examples as an exciting game keeps the child engaged, interested and coming back for more.

From the main page parents or children will find a simple and easy to navigate menu featuring the different levels of math games and the various math concepts that are available. Children from pre-k up to 8th grade will find fun online math games that teach important math skills that are appropriate for their age level.

Sheppard Software offers a couple of cute games for the youngest math students. In this game, called Bugabaloo Addition, children are shown a number of "bug shoes" on the left and the right. The game asks the child to add the two groups of shoes together, and then pick the bug with the correct number printed on it. This game teaches addition through a graphical display that lets the child see and count the shoes. With the numbers right underneath, children easily make the association between the visual cues and the act of addition.

For slightly older kids, there are a number of very popular arcade-style "popup" math games. In these games, the child is presented with a math problem and must find the creature that's holding the correct answer and smack it on the head with the hammer. The comical expression the creature makes and the sound effects make this game so fun that children will forget that they're learning math! "
--Written March 30, 2010 by Ryan Dube in Educational Freeware -- Reviews of the best learning games, software, and websites --http://www.educational-freeware.com/online/sheppard-math.aspx

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2023 MrNussbaum.com is a copyright of the Nussbaum Education Network,LLC.

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Mr. Nussbaum - Great American Subtraction Challenge - Online

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Help your state rise to the top of the leaderboards in the Great American Subtraction Challenge. First choose your state (this may happen automatically or

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NEW BVCO assessments

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Developing Number Concepts
3 Part Series and Guide
by Kathy Richardson

Grades: K-3

These books present a complete number curriculum for kindergarten through third grade classrooms. They are clearly written and each book provides simple but meaningful activities which give students repeated math experiences. These books present an approach based on years of research by the author on how children learn. They are a must for K-3 teachers of mathematics to meet the needs of all their students.

Book 1: Counting, Comparing, and Pattern
Book 2: Addition and Subtraction
Book 3: Place Value, Multiplication, and Division
Planning Guide: The Planning Guide includes comprehensive year long teaching plans along with classroom management ideas.
Click here to purchase publications Developing Number Concepts Activities for Parents and Teachers To Do At Home
Math Perspectives understands the need to keep students engaged in meaningful learning experiences at home, especially when many schools are in session virtually. We know parents need help with activities they can do with their children so we've developed Activity Cards for some of the activities from Developing Number Concepts that parents can easily do with their children. In addition, we are sharing a list of games compiled by Dr. Ruth Parker of the Mathematics Education Collaborative that families can play to help children develop mathematical reasoning while practicing basic facts. Repeatedly playing these games supports student learning and deepens understanding.
At Home Math Manipulatives Counting Activities Count and Dump: at Home Grab a Handful: at Home Hunt for It: at Home
Addition/Subtraction Activities
Clear the Deck: at Home
Comparing Yarn: at Home
Grab Bag Subtraction: at Home
Grab Bag Subtraction example video Plus-and-Minus Train: at Home
Race to Ten: at Home
The Tub Game: at Home

Place Value Activities
Measuring Things in the Room: at Home
Measuring Yarn: at Home Race to 100: at Home
Math Games for Families
Comparing Quantities Activities
Comparing Containers: at Home
Grab Bag Comparing: at Home

Ten and Some More Activities
Two Ten Frame Addition: at Home
Two Ten Frame Subtraction: at Home
Home Made Spinner Directions

Multiplication and Division Activities
Cups of Counters: At Home
How Many in the Cups?: At Home

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Developing Number Concepts 3 Part Series and Guide by Kathy Richardson Grades: K-3 These books present a complete number curriculum for kindergarten through third grade classrooms. They are clearly written and each book provides simple but meaningful activities which give students repeated math experiences.

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Developing Number Concepts
3 Part Series and Guide
by Kathy Richardson

Grades: K-3

These books present a complete number curriculum for kindergarten through third grade classrooms. They are clearly written and each book provides simple but meaningful activities which give students repeated math experiences. These books present an approach based on years of research by the author on how children learn. They are a must for K-3 teachers of mathematics to meet the needs of all their students.

Book 1: Counting, Comparing, and Pattern
Book 2: Addition and Subtraction
Book 3: Place Value, Multiplication, and Division
Planning Guide: The Planning Guide includes comprehensive year long teaching plans along with classroom management ideas.
Click here to purchase publications Developing Number Concepts Activities for Parents and Teachers To Do At Home
Math Perspectives understands the need to keep students engaged in meaningful learning experiences at home, especially when many schools are in session virtually. We know parents need help with activities they can do with their children so we've developed Activity Cards for some of the activities from Developing Number Concepts that parents can easily do with their children. In addition, we are sharing a list of games compiled by Dr. Ruth Parker of the Mathematics Education Collaborative that families can play to help children develop mathematical reasoning while practicing basic facts. Repeatedly playing these games supports student learning and deepens understanding.
At Home Math Manipulatives Counting Activities Count and Dump: at Home Grab a Handful: at Home Hunt for It: at Home
Addition/Subtraction Activities
Clear the Deck: at Home
Comparing Yarn: at Home
Grab Bag Subtraction: at Home
Grab Bag Subtraction example video Plus-and-Minus Train: at Home
Race to Ten: at Home
The Tub Game: at Home

Place Value Activities
Measuring Things in the Room: at Home
Measuring Yarn: at Home Race to 100: at Home
Math Games for Families
Comparing Quantities Activities
Comparing Containers: at Home
Grab Bag Comparing: at Home

Ten and Some More Activities
Two Ten Frame Addition: at Home
Two Ten Frame Subtraction: at Home
Home Made Spinner Directions

Multiplication and Division Activities
Cups of Counters: At Home
How Many in the Cups?: At Home

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Developing Number Concepts 3 Part Series and Guide by Kathy Richardson Grades: K-3 These books present a complete number curriculum for kindergarten through third grade classrooms. They are clearly written and each book provides simple but meaningful activities which give students repeated math experiences.

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Achieve the Core priority standards 2020-2021

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Achieve the Core priority standards 2020-2021

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Google Tutorials for students and parents

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Google Tutorials for students and parents

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Awesome resource

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MATH FOR LOVE <3

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An index of some of our favorite lessons. We recommend starting with openers or games if this is your first time here.

Want more?
The Math for Love curriculum offers enough supplementary lessons to enrich the entire school year, or teach a month-long summer program.

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An index of some of our favorite lessons. We recommend starting with openers or games if this is your first time here. Want more? The Math for Love curriculum offers enough supplementary lessons to enrich the entire school year, or teach a month-long summer program.

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Fostering a positive attitude towards math from a very young age prepares children for success in math. Studies have found that a positive attitude toward math boosts the brain's memory center and improves math performance. Every child can be successful in math with good teaching, coaching, practice, encouragement, and motivation.

We, as parents are our children's first teachers and our attitude and behavior towards math influences their perspective and as a result their mathematical capabilities.

Here are some steps parents can take to motivate students and encourage a positive attitude towards math.

Connect math to everyday life.

Math is all around us and children need to realize this from a young age. Help children realize how math influences our everyday life by including them in everyday activities that require math.

Include children in cooking, study recipes together, and measure ingredients.

Keep track of time, set the alarm.

Encourage your children to find shapes and patterns all around them.

Find symmetry in nature.

Talk about the distance to school, store, park.

Compare prices at the store.

Plant seeds and count how many sprouts every day or week.

Take measurements for a new mat, shelf, frame, etc

Encourage perseverance when solving math problems.

Explain that it is ok to be confused by a problem and try many different ways to get to the solution. It is all part of learning. Practicing perseverance to work through the initial frustration of not knowing where to start is the first step to building problem-solving resilience in students.

Teach Problem-solving strategies

Encourage children to experiment with different approaches when solving problems. There is often more than one way to solve a math problem. Teach problem-solving strategies that will help them tackle different types of problems. Problem-solving Strategies

Make Practice fun

Practice drills are required for better understanding, fluency, and automation. However, repeated practice can often become boring and tiring. Give practice assignments in chunks and keep them short. Try out many different ways of practicing like worksheets, digital games, board/card games, and even physically active games. Provide manipulatives for better understanding. Design your own games with themes and toys that your child will enjoy, like toy cars, dolls, blocks, and more. You know your child better than anyone and you know what gets them excited. Make practice time a fun time. You can find many ideas online on how to use everyday objects and toys like legos to practice math.
Learn with dominoes Make your own dice
Play Games that enhance mathematical skills

Playing board/card games together with family or friends helps children develop skills like problem-solving and strategic thinking. It improves mental-math skills, logic, and working memory. Games like chess, quarto, quixo, Dragon Times, monopoly, blocus, set, abalone, and more are great games for enhancing mathematical skills.

Check out our free print to play math cards and board games.

Math homework

Keep homework time stressless by planning for enough time, and create a "homework space" that is relaxing and comfortable. Set aside a specific time each day when homework is completed. Routine and consistency help reduce stress. Explain that effort is more important than results and making mistakes helps people learn. If homework becomes too much or too difficult for your child talk with their teacher to understand the reasons. Maybe your child is struggling with specific concepts and they need to fill the gaps before moving ahead.

Encourage mathematical thinking

Guide your child in problem-solving by asking the right questions. Why did you...? What can you do next? Do you see any patterns? Does the answer make sense? How do you know? This helps to encourage thinking about mathematics. Explaining their way of thinking helps them understand better and gives the parent a good opportunity to assess their skills.

Give constructive feedback

Give children constructive and honest feedback without praise or judgment. For example "I'm noticing that you know how to solve one-digit by two-digit multiplication and you need more practice with two-digit by two-digit multiplication. Pay more attention to the place value."

Provide Opportunities for Success to Boost Confidence

Encourage children to retry challenging problems that they failed to solve after learning and understanding more. This way they achieve success and their confidence in math increases.

Reward and Praise Effort

Praise and reward children for putting in all the effort despite the results. Let them know how proud you are of them for working hard. Show them that you believe in them.

Fostering a positive attitude towards math means making every mathematical experience a positive one, whether is homework, practice or a test. It means to support, encourage and motivate children so they feel able and confident about their mathematical skills.

:

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How to Foster a Positive Attitude Towards Math at Home

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Fostering a positive attitude towards math from a very young age prepares children for success in math. Studies have found that a positive attitude toward math boosts the brain's memory center and improves math performance. Every child can be successful in math with good teaching, coaching, practice

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Teacher Tools " Toy Theater | Learn * Create * Play

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A collection of interactive manipulatives and assessment tools to illustrate and assess basic math concepts: addition, subtraction, multiplication, division, probability.

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Number Talks- Already created material by grade level and strategy.

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Number Talks- Already created material by grade level and strategy.

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Scroll down for the links

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Number Talks by Sherry Parrish:

Click here - Sample of the Book

Number talks are short daily routines that help students develop computational fluency.

Not intended to replace current curriculum or take up majority of time spent on math.

They are 5 to 15 minutes long and most effective if done daily.

In order for children to become computationally fluent, they need to know particular mathematical concepts that go beyond what is required to memorize basic facts or procedures. Students need to understand that:

* Numbers are composed of smaller numbers.

* What we know about one number can help us figure out other numbers.

* What we know about parts of smaller numbers can help us with parts of larger numbers.

* Numbers are organized into groups of tens and ones (and hundreds, tens and ones and so forth.)

* What we know about numbers to 10 helps us with numbers to 100 and beyond

Activities and examples of Number Talk Routines

Click on the link below to find the grade 2 number strings that will develop strategies for mental computations:

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Number Talks by Sherry Parrish: Click here - Sample of the Book Number talks are short daily routines that help students develop computational fluency. Not intended to replace current curriculum or take up majority of time spent on math. They are 5 to 15 minutes long and most effective if done daily.

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Templates and Tools to make GOOGLE sheets fun in the class

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Templates and Tools to make GOOGLE sheets fun in the class

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Flippity.net: Flashcards and Other Resources for Educators and Learners

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Create an interactive virtual breakout activity.

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Moving practice toward empowering students in the classroom

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CAST Professional Publishing - Until learning has no limits®

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CAST Professional Publishing produces books that help educators at all levels improve their practice-and change students' lives-through Universal Design for Learning (UDL).

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Step 43
What is the equation?

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Explore these patterns with your students and watch their natural tendencies to see patterns morph into powerful algebraic thinking and reasoning. It’s an ideal routine to foster mathematical practice #7 - look for and make use of structure.

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UNIVERSAL SCREENERS Math interviews by grade level and Fall/Winter/Spring

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UNIVERSAL SCREENERS Math interviews by grade level and Fall/Winter/Spring

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BVCO school district free resource

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The Number Sense Screening Project has moved. With my departure from Boulder Valley School District this project needs to move to a new home.

The Math Screeners have undergone a significant revision process and have been renamed as Universal Screeners for Number Sense. Using the ideas gathered from the many teachers who have communicated with me over the years and the new things we have learned from our students there a a number of significant improvements that have been made.

Watch for a revised and updated version for 2021 to be released in early August.

I look forward to continuing and growing this project with math educators everywhere.

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The Number Sense Screening Project has moved. With my departure from Boulder Valley School District this project needs to move to a new home. The Math Screeners have undergone a significant revision process and have been renamed as Universal Screeners for Number Sense.

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Problem Solving Resource

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The name "Open Middle" might sound like a strange name for a website about math problems. However, it references a very specific type of problem we try to encourage here. Most of the problems on this site have:

a "closed beginning" meaning that they all start with the same initial problem.

a "closed end" meaning that they all end with the same answer.

an "open middle" meaning that there are multiple ways to approach and ultimately solve the problem.

Open middle problems generally require a higher Depth of Knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking.

Some additional characteristics of open middle problems include:

They generally have multiple ways of solving them as opposed to a problem where you are told to solve it using a specific method. Example

They may involve optimization such that it is easy to get an answer but more challenging to get the best or optimal answer. Example

They may appear to be simple and procedural in nature but turn out to be more challenging and complex when you start to solve it. Example

They are generally not as complex as a performance task which may require significant background context to complete. Example

We hope you enjoy these problems. Please be sure to send us any ideas for problems we can add.

Thanks!
Co-founders Nanette Johnson and Robert Kaplinsky

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The name "Open Middle" might sound like a strange name for a website about math problems. However, it references a very specific type of problem we try to encourage here. Most of the problems on this site have: a "closed beginning" meaning that they all start with the same initial problem.

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MESS -- Questions you can ask to help at home.

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MESS -- Questions you can ask to help at home.

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http://morse.cpsd.us/UserFiles/Servers/Server_3044307/File/get_involved/parent_workshops/December_13_2016_Workshop_Literacy_Math_MESS.pdf

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When students make a math MESS they show their thinking using a model (to represent the story context), an equation (with a symbol for what is unknown), show the work that was used to solve, and answer in a complete sentence.

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These are student/family friendly padlets that I am creating for more opportunities for students to practice at home
K-2
https://padlet.com/julesbkelley/di2u03g94t1f

Grade 3
https://padlet.com/julesbkelley/fdgqfpbo7o6o

Grade 4
https://padlet.com/julesbkelley/8l9vpo44kfg5

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Math Their Way (FREE) Blackline Masters by skill

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Math Their Way (FREE) Blackline Masters by skill

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Mathematics Their Way Summary Newsletter

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If they are not able to do these two activities, then they will need practice with different place value skills, depending on where they struggle. Sometimes, students just need a little more scaffolding and practice before moving on. Have them practice filling in missing pieces on all sorts of number lines. This will help them build a foundation for all sorts of skills, not just rounding.

I have found that most students that were struggling were actually able to do these activities using smaller numbers. This told me that my students had a solid foundation for numbers less than 1,000, but needed practice with numbers greater than 1,000.

To build place value understanding for numbers greater than 1,000, do the same things you would do to practice smaller numbers. Practicing counting by different multiples is an easy, no prep activity that can be done anytime you have an extra couple of minutes or you are waiting in the hallway. For example,

count by 1s starting at 3,589

count by 10s starting at 2,000

count by hundreds starting at 60,200

count by thousands starting at 77,400

You should do activities like this both orally and written. You might be surprised at how your students struggle with counting numbers larger than 1,000 - even counting by 1s - when they have to write it out. (This is a great activity for whiteboards.)

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Teaching Rounding So Students Actually Understand

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Teachers use all sorts of tricks to teach students how to round - tricks like rollercoasters, chants, step-by-step anchor chart instructions, underlining digits, and more. Teaching rounding using tricks is a short term solution, though. If you are having to use tricks in order for students to understand rounding, then your students are showing you that they have some gaps ...

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Elementary Math materials for distance learning Include a revised scope and sequence adjusted for distance learning, content priority documents, and slide decks for every unit in our curriculum. Many educators are continuing to use these resources, even while teaching in person.

​ Secondary lessons contain proprietary content that is licensed by SFUSD and therefore can not be shared outside of SFUSD.

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Elementary Math materials for distance learning Include a revised scope and sequence adjusted for distance learning, content priority documents, and slide decks for every unit in our curriculum. Many educators are continuing to use these resources, even while teaching in person.

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L'idée de ce site a pris naissance grâce à une conversation avec Tracy Zager et Chris Hunter. De plus, d'autres personnes en dehors de la conversation initiale ont inspiré, d'une façon ou d'une autre, ce site.
The idea for this site was born out of a conversation with Tracy Zager and Chris Hunter. Furthermore, other people, in one way or another, have inspired the creation of this site. ​

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Custom Number Talk Images Créer vos propres images! Voici une ressource de Berkeley Everett . Offert en format PowerPoint ou Google Slides, vous n'avez qu'à modifier les diapositives afin de...

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We have been collaborating with our 2 neuroscience advisors, Christian Battista and Lang Chen, on new papers releasing the fascinating new evidence on the ways our brains learn mathematics, that are shared on this page.

In the labs at Stanford they have developed some really interesting new knowledge on the ways brains work mathematically. Prof Vinod Menon and his team have shown that our brains are made up of 5 different networks that are involved when we think about maths. Two of the networks are visual pathways - one is the ventral and one the dorsal visual pathway. Neuroimaging has shown that even when people work on a number calculation, such as 12 x 25, with symbolic digits (12 and 25) our mathematical thinking is partly visual.

The different evidence that is coming from the neuroscientists tells us that our brain wants to think visually about maths. Building students' mathematical understanding doesn't just mean strengthening one area of the brain that is involved with abstract numbers, it means strengthening connections between areas of the brain and strengthening the visual pathways.

We at youcubed believe that every mathematical concept can be represented visually to students, and that this would help them greatly. In our teacher paper, called "Seeing as Understanding," we not only discuss the visual research but also include visual activities for all grade levels. Some of the other papers and news articles share some fascinating new research on the importance of fingers. The visual activities shares different K-12 visual math activities, as examples of ways to make maths more visual.

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We have been collaborating with our 2 neuroscience advisors, Christian Battista and Lang Chen, on new papers releasing the fascinating new evidence on the ways our brains learn mathematics, that are shared on this page. In the labs at Stanford they have developed some really interesting new knowledge on the ways brains work mathematically.

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These are "instructional games"

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Math Games, Math Worksheets and Practice Quizzes

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Math games online that practice math skills using fun interactive content. Over 1000 free skill testing apps and games - tablet and chromebook friendly.

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Songs about Measurement

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4.7 Measurement Conversion Songs Presentation

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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Watch the Progression Videos

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Illustrative Mathematics provides resources and support for giving their students an enduring understanding of mathematics.

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Provide relevant texts that consider complexity, academic success, cultural competence, and critical consciousness.

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Reading, math and more for kindergarten to grade 5. Thousands of free worksheets in math, reading, science, vocabulary, spelling, grammar and writing.

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Students move the hands of a clock to make the time that is given

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2023 MrNussbaum.com is a copyright of the Nussbaum Education Network,LLC.

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Clockworks in an awesome way for kids of all grade levels to practice telling time. It requires students to set as many clocks as possible in two minutes.

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Cool Idea to use color and visuals for rounding

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Cool Idea to use color and visuals for rounding

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word problems are just "addition or subtraction" etc. There are a variety of types of problems for each operation...

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Ambleweb Function Machine
Power of Color
Greg Tang Math/word problems
Bizz/Buzz/Bang
Over/Under/The Same
I was walking down the street...
Which One Doesn't Belong
Splat

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From North Carolina Public Schools Website

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This allows the students choice and is a fun way to support learners at their own level.

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midcentral-coop.org - midcentral coop Resources and Information.

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midcentral-coop.org is your first and best source for all of the information you’re looking for. From general topics to more of what you would expect to find here, midcentral-coop.org has it all. We hope you find what you are searching for!

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Free Download with this link

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Free Download Making Number Talks Matter By Cathy Humphreys, Ruth Parker EBOOK - 1vJ Free EBOOK PDF Download | Read Online

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Free Download Making Number Talks Matter By Cathy Humphreys, Ruth Parker EBOOK

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Power Tower Math

Sticks

True and False Sticks

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Act 1 Link:
https://player.vimeo.com/video/207718368

Act 2:

Act 3 Link:
https://vimeo.com/207718368

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Great Read

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2016 Aug 6. Here is video of this task structure implemented with elementary students. 2013 May 14. Here's a brief series on how to teach with three-act math tasks. It includes video. 2013 Ap...

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3 act task

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1. How many sugar packets do you think are inside a 20-oz bottle of soda?

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Graham Fletcher

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I have been a huge fan of Dan Meyer and his 3-Act approach to problem solving http://blog.mrmeyer.com. Unfortunately, almost every 3-Act task I have come across on his website and over the web involves middle school standards concepts and beyond. ... Continue reading

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Posts about 3-Act Tasks on Questioning My Metacognition

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I have been a huge fan of Dan Meyer and his 3-Act approach to problem solving http://blog.mrmeyer.com. Unfortunately, almost every 3-Act task I have come across on his website and over the web involves middle school standards concepts and beyond. ... Continue reading

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No Live Links here... See 2nd post

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Links are here

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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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Great Idea...

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Have you even seen this yet?! Click on the image to go straight to the PDF of this amazing multiplication table by David Millar of thegriddle.net. It is free to educators to print and use in the classroom. Even better if you go to the educator section, there is a black and white version that is both with and without numbers.

My mind is churning with the possibilities for using this in the classroom! I think it is the best multiplication table I've certainly ever seen. Talk about helping students conceptually understand multiplication, connect it to arrays as well as the concept of area.

Outstanding!

education conceptual understanding elementary math math multiplication problem solving project based learning

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You Call That a Multiplication Table? THIS is a Multiplication Table

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Have you even seen this yet?! Click on the image to go straight to the PDF of this amazing multiplication table by David Millar of thegriddle.net. It is free to educators to print and use in the classroom. Even better if you go to the educator section, there is a black and white version that...

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Great Video

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

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Even though some students and teachers will chase multiplication facts, such as 5 x 9 = 45, in pursuit of memorizing the products, there is so much more waiting to be learned... T...

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SO MANY(addition and Subtraction) links that she shared with us.

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Running Records

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This is so much fun

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Bouncy Balls – Manage classroom noise with bouncing balls!

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A free classroom noise level meter, monitor and management tool. Perfect if your school kids are too noisy! Bouncing balls react to sounds from the microphone.

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Howard County

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Great Modeling Tasks in Three Acts - NCSM

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Open-Ended Tasks and Questions in Mathematics

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One way to differentiate in math class is creating open-ended tasks and questions (I talked about several differentiation strategies I use here - Mathematically Speaking). I think it is useful to clarify the scheme of mathematical problems - below I used Foong Pui's research paper: "Problems in this classification scheme have their different roles in...

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Pintrest Boards

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Dr. Nicki Newton is a an international elementary school math consultant.   Check out her blog www.guidedmath.wordpress.com! Book her today:(347) 688-4927

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math toolkits | Dr. Nicki's Guided Math Blog

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Posted on September 14, 2014. Filed under: Common Core, Manipulatives | Tags: common core, manipulatives, math toolkits, toolkits | Here are some items that belong in an upper elementary toolkit. Remember that a toolkit has 2 parts. The first part is the materials and the second part is the templates.

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Great resource

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ABCya! * Number Chart - Use to Learn Number Patterns & More

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The interactive number chart is a great way for students to discover number patterns, skip count, and learn multiplication tables. Color the interactive number charts to find patterns in numbers or use them for counting exercises. Children can print their charts too!

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Don't miss this website

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Find online math tools for teachers for use with your interactive white board or projector to make math lessons clear for your whole class. Each lesson includes tutorials on how to use the manipulatives and ideas for incorporating the tools into classroom lessons.

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Find online math tools for teachers for use with your interactive white board or projector to make math lessons clear for your whole class. Each lesson includes tutorials on how to use the manipulatives and ideas for incorporating the tools into classroom lessons.

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and many additional links

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The two apart facts are also called Doubles +2, Monkey in the Middle, or Robin Hood Facts.

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Links to Black Line Masters

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To view, you will need the latest version of Acrobat Reader properly installed in your browser.

Click here to get Acrobat - (opens new window at adobe.com)

Contact us with any concerns:

Center for Innovation in Education
PO Box 2070
Saratoga, CA 95070-0070

Tel: (800) 395-6088
Fax: (408) 725-8146

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Hexagon Cards vs Triangle Cards

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fact families: print and cut out hexagon-shaped fact family cards

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Gr. 1 - Subitizing Using a Hundreds Grid

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SA, AK and KG from 1G used benchmarks on the hundreds grid to determine the quantity of colored squares efficiently.

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Kathy Richardson

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Fun Song with place value

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Numbers in the Teens (Have a Group of 10)-     [a place value song for kids]

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With the implementation of new standards, assessments, and (for some) new curriculum, teachers are feeling bogged down and yet left out on their own to make sense of it all.

Gain knowledge of how kids learn math so that you can confidently close your textbook and do fun lessons that meet your students where they are.

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Build Math Minds | Learn to LOVE Teaching Math

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With the implementation of new standards, assessments, and (for some) new curriculum, teachers are feeling bogged down and yet left out on their own to make sense of it all. Gain knowledge of how kids learn math so that you can confidently close your textbook and do fun lessons that meet your students where they are.

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Math Fluency Rountine

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with special thanks to Christopher Danielson and his Which One Doesn’t Belong - A Shapes Book.

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with special thanks to Christopher Danielson and his Which One Doesn’t Belong - A Shapes Book.

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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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Subitizing Dot Cards

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Random Card(s) Picker and Shuffler - Randomize

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Generate (draw) as many playing cards as you like without duplicates shuffled randomly online.

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Same But Different is a powerful routine for use in math classrooms. The images can be used for teaching a way of thinking: grayscale thinking, categorical thinking; helping students to build a network of ideas and an approach for learning and thinking about mathematics.

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Do your students have multiplication down? or are you still looking for the silver bullet?
If you you still have students struggling to memorize the multiplication tables -
this may be your silver bullet to help those kids!
~ Engaging ~
~ Easy Prep ~
~ Motivating ~
~ Flexible Usage ~
~ and best of all - EFFECTIVE! ~

I want to share some fun multiplication flash cards and activities with you that will help you help your students 'flourish' in mastering their math facts.

These are not your mother's flash cards. . .
they are triangles and they are a super-effective tool for mastering math facts!
They can be used in so many ways!

Individual Use
Small Group
Whole Class
Homework

Look how they make it easy to see the

commutative property in action!

They also demonstrate how multiplication and division are inverse operations.

Once students master the multiplication facts, the division facts come so. much. easier!

One of my students' favorite whole-group activities with these flash cards
is a cooperative learning activity we call
Partner Quiz!
It's a super engaging activity and the kids ASK for it!
{I have complete instructions in the pack.}

Math mats are included to using in teaching the concept or review in centers.

Here is another great way to use them - with a recording sheet for seat work or math centers.

3 different recording sheets are included, to make it easy to differentiate.

I like to send them home with this letter to make it easy for the family to help.

You can see, these flash cards are packed with possibilities!
Many engaging ways to give your students that
needed practice to master their multiplication facts!
It is a great CCSS Aligned resource for your classroom.
3.OA.C7

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Do your students have multiplication down? or are you still looking for the silver bullet? If you you still have students struggling to memorize the multiplication tables - this may be your silver bullet to help those kids! ~ Engaging ~ ~ Easy Prep ~ ~ Motivating ~ ~ Flexible Usage ~ ~ and best of all - EFFECTIVE!

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Access Google Sites with a personal Google account or Google Workspace account (for business use).