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https://sites.google.com/view/scmath/home

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Our approach to is to ensure that students are at the center of learning, and the student perspective is paramount when designing instruction. Instructional strategies such as PBL, inquiry, blinded/flipped learning, cooperative learning, and the use of technology should be leveraged with a student-centered focus.

We look for learning experiences to be adaptive to student needs by making them more engaging, meaningful and personalized. Student-centered learning leverages student interests and prior knowledge to meet them where they are and to push their understanding regardless of their prior knowledge and/or experiences.

We believe that learning is a social experience that develops the ~ reativity, C ollaboration, C ommunication, ritical Thinking, C itizenship, & C uriosity. When combining SCMath, the 6Cs, and the , students are able to dive deeper into understanding and relevance making them confident life-long learners. C C Standards for Mathematics Practice

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Khan Academy offers comprehensive, step-by-step tutorials on a wide range of math topics essential for students at all levels. With interactive exercises, it's a fantastic resource to understand and practice new concepts.

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A required part of this site couldn’t load. This may be due to a browser extension, network issues, or browser settings. Please check your connection, disable any ad blockers, or try using a different browser.

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IXL Math provides a personalized learning experience by adapting to each student's performance and offering questions at the right level of difficulty. It covers K-12 curriculum, making it a versatile tool for continuous learning and review.

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IXL | Math, English Language Arts and Science Practice

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IXL is the world's most popular subscription-based learning site. Used by over 17 million students, IXL provides unlimited practice in more than 6500 math, English language arts and science topics. Interactive questions, awards and certificates keep kids motivated as they master skills.

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Desmos is a powerful, free online graphing calculator designed to help students visualize and explore complex math concepts, including algebra, trigonometry, and calculus. It's an excellent tool for making abstract concepts more tangible.

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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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Cool Math Games is not only an entertaining platform but also an educational one that sharpens problem-solving and logic skills through fun and interactive math-based games. It's suitable for students of various age groups.

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Cool Math Games - Free Online Games for Learning and Fun

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Coolmath Games is a brain-training site for everyone, where logic & thinking & math meets fun & games. These games have no violence, no empty action, just a lot of challenges that will make you forget you're getting a mental workout!

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Math bingo provides a fun and engaging way for kids to practice their math skills. By integrating learning into a game format, children can improve their arithmetic skills while enjoying the competitive spirit of bingo.

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Printable Worksheets: Practice Makes Perfect

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Printable Worksheets: Practice Makes Perfect

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Offering a collection of printable worksheets that cover a wide range of math topics. These worksheets can serve as additional practice outside of the classroom to reinforce key concepts.

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Interactive whiteboards offer a dynamic way to engage students during math lessons. They allow for real-time problem solving and visualization, making abstract concepts easier to grasp.

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Student-Centered Mathematics Classroom - Clothesline Math

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Math manipulatives such as counters, base ten blocks, and fraction tiles can significantly improve students' understanding of complex mathematical concepts by providing a tangible learning experience.

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Fluency Math Slides

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Are you looking for strategies to help your kids understand equivalent fractions this school year?

Creating fraction kits is a great way to get your kids exploring equivalent fractions and acquiring a deep, conceptual understanding of the topic.

The video below demonstrates how to create a fraction kit; it was designed to serve as a follow-along activity:

Materials: construction paper, markers, scissors, and a ruler.

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Here's an Awesome Way to Teach Kids Fractions - Mashup Math

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Are you looking for strategies to help your kids understand equivalent fractions this school year? Creating fraction kits is a great way to get your kids exploring equivalent fractions and acquiring a deep, conceptual understanding of the topic. The video below demonstrates how to create a fractio

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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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Clotheslines are interactive number lines. Students place (and move) cards on a clothesline where they think the number belongs. It is a great activity to show proportional reasoning, precision, eq…

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Hosted by Chris Shore of The Math Projects Journal

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Clothesline Math has been a growing trend in mathematics education. I saw Andrew Stadel give a talk on it (back in 2015), however it was geared toward middle school and high school math. My mind, never shutting off, was pondering how to make it fit for my elementary teachers. And in my research, there aren't many elementary clothesline cards out there.

Clotheslines become interactive number lines. Students are able to manipulate cards to show proportional reasoning, precision, equality between numbers, and magnitude. The clothesline builds students' number sense. It's a routine that can work from kindergarten through high school.

Each set of cards has been designed to have equal cards as well as multiple representations. They are all PDF files.

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Clothesline Math has been a growing trend in mathematics education. I saw Andrew Stadel give a talk on it (back in 2015), however it was geared toward middle school and high school math. My mind, never shutting off, was pondering how to make it fit for my elementary teachers.

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Math Resources

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Here are links to some notes for my PGDE Maths classes.

Assessment for Learning (using misconceptions and questioning)

This set of notes talk about resources for classroom teaching with a focus on formative assessment, which is not necessarily in the form of quiz or worksheet. Such resources are useful and important elements of lesson design. They include various types of learning tasks (long or short) that elicit responses from students and associated strategies of sustaining and directing learning activities. This requires good techniques of questioning and awareness of learners' misconceptions.

We may learn from resources that are new to us, which will probably challenge our common assumptions and inspire our lesson design. On the other hand, we can also revisit familiar materials, such as textbook exercises, homework, exam questions, etc., understanding their potential and limitations, thus finding new ways to better utilise them for learning.

The booklets of Teaching for Mastery, from NCETM, provide different kinds of short examples that can be easily incorporated in classroom teaching. Diagnostic Questions by Craig Barton suggest more examples in a standardised form. They are available for online and offline use, including analysis of students' responses and discussion about misconceptions. Multiple choice questions from local textbooks or exams can also be adapted in different ways for better use in supporting learning. The e-learning platform Desmos Activities is a powerful tool in many occasions and is recommended here specifically for adaptation of multiple choice questions.

Dylan Wiliam is a very influential scholar in the area of formative assessment. His book, Embedded Formative Assessment, gives many useful examples and practical classroom teaching techniques. Malcolm Swan was a productive educational designer. His work includes packages for classroom teaching and professional development. The are available in the Shell Centre for Mathematics Education, Mathematics Assessment Project and National STEM Centre eLibrary.

Click the buttons on the right for more videos about this page.

Towards flexible teaching

Good mathematics teaching is not defined in a single, prescribed way. It is developed with flexibility , open-mindedness and sensitivity to variation in the students and contexts. In view of the complexity, uncertainty and variety in students' attributes and learning environments, even new teachers nowadays have to face this challenge of diversifying their teaching. This section suggests various sources of examples and advice for teaching design. ​They include:

local and overseas curriculum or professional development projects based on teacher collaboration;

blogs and sites of individual practicing teachers showing their continual effort to share and enrich their teaching in their own styles and contexts;

educators' promotion of multifaceted mathematics pedagogy based on research and development.

In the following sites, you can find teaching materials and ideas in curriculum or professional development projects, co-developed by teachers.

Catering for Students' Learning Diversity through Rich Tasks and Collaborative Learning
You can find a collection of 18 rich tasks with guidelines and sample student work from trials in classrooms. Note how they address learner diversity and encourage collaboration.

Supporting the Learning and Teaching of Mathematics for Non-Chinese Speaking (NCS) Students in Primary Schools

This ongoing project and the previous one below (for secondary students) develops diversified teaching materials and approaches, making maths accessible to more students, both mainstream and disadvantaged (not necessarily limited to NCS students). Currently, emphasis is put on ​engaging activities, algorithms with understanding, cultural characteristics, fluency with depth and flexibility, meaningful and mindful practice or exercise.

The current project (2020) focuses on cultural and linguistic diversity.

Supporting mathematics learning of NCS secondary students (2015-2017)

gMath (GeoGebra applets in tablets)
This is not merely a project promoting e-learning. It is an example of successful school-based development. Through the design and use of applets, we can see effective customisations of curriculum materials and adaptive teaching strategies based on the school context.

Hong Kong FlippEducators
This is a community of local teachers promoting flipped learning for all subjects. Many examples are related to mathematics. The emphasis is put on means to active learning, which is not necessarily limited to video making.

International Math-teacher Professionalization Using Lesson Study
You can access the Lesson Study Library for details of shared lessons, including videos in some cases (after free registration). You can learn from the explanation of the design and evaluation of each lesson and appreciate the collaboration of teachers (even across countries, from both east and west).

Teaching Mathematics for Social Justice
Check the framework inside the front page, which outlines the 5 key features behind the developed teaching ideas that may enhance students' engagement and agency by making mathematics more meaningful and relevant. They are illustrated by resources within the project and from other sources (collaborative problem-solving activities).

Content and Language Integrated Learning (CLIL)

​ Some resourceful and productive teacher bloggers: Check the variety of teaching ideas and materials produced by individual teachers, linked with their regular classroom teaching. Note that the sharing process is the result as well as the means to their continuous development in mathematics pedagogy.

promotes a variety of approaches in teaching that address a range of critical issues in mathematics learning, making mathematics accessible and meaningful for all learners, especially those disadvantaged, discouraged or demotivated. She offers useful tips, messages and resources in her website and books, explaining the power of growth mindsets among students (and even teachers and parents), which could bring about substantial changes in the culture and practice of mathematics education.

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Here are links to some notes for my PGDE Maths classes.

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Core concept 1.1 covers the structure of our place-value system (particularly as it relates to decimals) and rounding numbers to a required number of decimal places or significant figures.

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1.1 Place value, estimation and rounding

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Core concept 1.1 covers the structure of our place-value system (particularly as it relates to decimals) and rounding numbers to a required number of decimal places or significant figures.

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Tired of hearing groans when you announce it's time for math? These active math games and activities will spice up your learning game. They get kids up and moving, using their whole bodies to learn facts and skills. Lots of these ideas can be adapted to suit a variety of math concepts, so choose a few to try out with your own math students.

1. Throw snowballs inside or out

Clip flash cards to plastic tubs, then challenge kids to throw the correct number of large white pom-poms ("snowballs") in from a distance. If there's snow on the ground, bundle up and take this one outside to use real snowballs!

Learn more: Frugal Fun 4 Boys and Girls

2. Stack sticks to practice tally marks

Small sticks are perfect for practicing tally marks. Kids will have fun checking the ground under trees for twigs, then breaking them into pieces and creating tally piles.

Learn more: @amysam623

3. Fish for numbers

It's so easy to make your own magnet fishing pole. Float some numbered foam fish with paper clips attached, then try to catch the numbers in the right order! (Don't want to get wet? Just lay the fish on the ground instead.)

Learn more: Buggy and Buddy/Fishing Math

4. Draw and measure shapes on the sidewalk

First, give kids some sidewalk chalk and let them draw a variety of shapes, as big or small as they like. Then, arm them with measuring tapes and have them practice taking measurements.

Learn more: @playexploregrow

5. Stomp and smash on a number line

Grab some paper bags and number them, then shake them out and lay them in a number line. Now, call out an addition or subtraction problem, like 3 + 2. Have a student stomp on the bag labeled three, then on the next two to arrive at an answer of five. (Feeling brave? Try this one with balloons!)

Learn more: Schooltime Snippets

6. Grow fact-family flowers

Pick up colorful fall leaves and write math facts on them. Gather them around a numbered rock to make pretty flowers.

Learn more: @discoverwildlearning

7. Toss beanbags to learn place value

Label bins with place values like ones, tens, and hundreds. Kids toss beanbags into the bins, then count them and see what number they've created.

Learn more: Saddle Up for Second Grade/Place Value Toss

8. Form paper-plate number bonds

Pass out numbered paper plates, then have students mix and mingle to see how many number bonds they can form.

Learn more: The Schroeder Page

9. Create a life-size number line

Number lines are wonderful for all sorts of math games and activities. Make one big enough for kids to stand and jump around on using sidewalk chalk (or painter's tape indoors). You'll use it over and over again.

Learn more: Childhood Beckons

10. Hit the target and graph

You can teach graphing in lots of ways, so why not make it active? Students throw balls onto a target, graphing and analyzing their throws as they go.

Learn more: Amy Lemons

11. Head out on a plot graph scavenger hunt

Create a map of your school, playground, or other area using graph paper (or even better, have kids help you do it). Then choose plot points for them to visit to find notes or small prizes. They'll feel like real treasure hunters!

Learn more: Edventures With Kids

12. Roll the dice to count and move

Get practice with low-number counting and addition using action dice. Write activities like "jump," "clap," or "stomp" on a small wooden block, then roll it along with a pair of dice. Kids add them up (or subtract if you prefer) and complete the activity the number of times shown.

Learn more: Buggy and Buddy/Math Dice

13. Whack a ball to subtract

You know your elementary math students are going to love this! Build your own whack-a-mole 10-frame with a shoebox and Ping-Pong balls. Then, have kids whack the balls to practice their subtraction facts. So fun!

Learn more: Planning Playtime

14. Make a splash with water balloons

You're going to need to be willing to get a little wet for this one, but kids simply adore math games (or any games!) with water balloons. Fill and label balloons numbered 1 through 20 (or whatever numbers you're working on). Draw the numbers in a big circle on the playground. Then, have a student choose a balloon, find the matching number, and head off to make a splash!

Learn more: Little Bins for Little Hands

15. Tell time on a giant clock

Draw a giant clock face with hours and minutes on the playground with sidewalk chalk. Choose two students to be the hour and minute hands, then call out a time and send them out to become the clock. Add more complicated elements by having them add to or subtract from the initial time too. ("Now it's 23 minutes later!")

Learn more: Creative Family Fun/Sidewalk Chalk Clock

16. Measure your frog jumps

Have your students hop like frogs, leap like gazelles, or jump like kangaroos. Then, pull out the ruler or measuring tape so they can measure the distances they've covered.

Learn more: Coffee Cups and Crayons

17. Jump to math facts practice

Lay out a grid like the one shown that has the answers to whatever set of math flash cards you're currently working with. (This teacher used masking tape; you could also do sidewalk chalk on the playground.) Two players face off, one on each side of the board. Show the flash card, and kids race to be the first to jump to the correct square with both feet inside the lines. Get all the rules at the link below.

Learn more: Teaching and Tapas

18. Run a flash-card race

Tape a series of flash cards to the floor and challenge kids to see who can correctly make their way from start to finish the fastest. They can call out the answers or write them down, but they have to get it right before they move on. Kids can race side by side or work independently to beat their own best time.

Learn more: There's Just One Mommy

19. Catch a math beach ball

Beach balls are so much fun in the classroom. Scribble numbers all over one with a Sharpie, then toss it to a student. Wherever their thumbs land, they add (or subtract or multiply) those two numbers together before tossing the ball to the next student.

Learn more: Saddle Up for Second Grade/Beach Ball Math

20. Do a number dance

Kids who love "Dance Dance Revolution" will get into this one. Make a number mat for each student like the ones shown. Flash an equation with an answer between 10 and 99 on the screen. Kids figure out the answer and jump to put their left foot on the correct tens place, right foot on the ones. They'll be dancing and spinning as they learn!

Learn more: Number Loving

21. Groove with angles

Teach kids about transversals and the angles they create with some fun dance moves! Get the details for "Dance Dance Transversal" at the link below.

Learn more: Communicating Mathematically

22. Add and subtract by stacking cups

We're not sure why, but kids simply love stacking cups. Label yours with math problems and answers, then have kids build pyramids and towers galore!

Learn more: The Kindergarten Smorgasboard

23. Measure the height of a tree (no ladder needed)

Kids will be amazed to learn they can measure the tallest tree while keeping their feet on the ground. The link below walks you through the steps with a free printable.

Learn more: From ABCs to ACTs

24. Count and learn on a nature walk

Take an outdoor stroll and practice basic math along the way. This works indoors too-walk the school hallways (quietly) and count doors, windows, posters, and more.

Learn more: Creative Family Fun/Math Walk

25. Hunt for shapes in the world around you

Looking for super-simple and fun active math games? Give students a sheet with shapes to find as you walk around the school or playground. Each time they find the shape, have them trace it on their worksheet and then make a mark to keep track of how many times they've seen it.

Learn more: Hands-On Teaching Ideas

26. Steal the balls with addition robbery

Kids compete to see whose basket of balls will add up to the highest amount. The trick? They don't know at the beginning which balls are worth the most. Learn how to play at the link below.

Learn more: That After School Life

27. Puddle-jump from number to number

Lay out a series of construction paper puddles labeled with numbers. You can call out numbers and have kids jump to the correct one, or have them jump from one to the next in order forward or backward, or even try some skip counting.

Learn more: NurtureStore

28. Paint and hide number rocks

Painted rocks are always a big hit! Have your class help you make these, then hide them around the playground and send kids off to find and answer equations.

Learn more: The OT Toolbox

29. Skip-count along a hopscotch board

A hopscotch board can be used for a lot of fun and active math games. Try it for skip counting: Kids hop along counting by 2s, 5s, 10s, or whatever you're currently working on. Learn more at the link below.

Learn more: Math Geek Mama/Skip-Counting Hopscotch

30. Aim and throw to practice math skills

Pick up a set of Sticky Darts and draw two dartboards side by side. You can label the rings with any numbers you like. Kids throw the darts and then add, subtract, multiply, or divide the numbers-your choice!

Learn more: Inspiration Labs

31. Design an outdoor board game

Draw a winding path and fill the spaces with math equations. Kids roll the dice and move from space to space (have them jump, skip, or twirl to mix things up). If they get the answer right, they move to the new space. If not, their turn is over. Customizable math games like this can be used at any level.

Learn more: Look! We're Learning!

32. Turn UNO into an active math game

Grab your UNO deck and get ready to move! Assign each color a movement (hop, touch toes, etc.). As kids draw the cards, everyone completes the movement the correct number of times. Skip and Reverse work as usual, but anyone who gets Draw Two has to draw two more cards and complete the actions on their own while others cheer them on. See more at the link below.

Learn more: Still Playing School

33. Bowl them over while learning math facts

Active math games using recycled materials are economical and good for the environment. Set up empty plastic bottles labeled 1 through 10, then roll the ball to see how many you can knock down. Add up the numbers of the knocked-over bottles to get your score.

Learn more: Learn With Play at Home

34. Compete to win at putt-putt math

Pick up a few dollar-store supplies and make your own putt-putt course. This can be a simple game where kids simply shoot for the highest (or lowest) number. But you can also drive up the complexity by putting equations on the cups that kids have to solve first to determine which is the best cup to aim for.

Learn more: My Catch a Star Classroom!

35. Give a classic game a math twist

Create active math games that give new life to existing resources. For example, add numbers to Twister! For more advanced players, instead of saying "Right hand 5," try saying "Right hand 14 - 9" to make them think.

Learn more: Math Geek Mama/Twister Math

If you like these active math games and are looking for more ways to move in the classroom, try these 21 Kinesthetic Reading Activities for your most active learners.

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30 Active Math Games and Activities for Kids Who Love To Move

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Engage kinesthetic learners with active math games and activities that get them out of their seats and learning with their body and mind.

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Challenging Math Problems Worth Solving K-8

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Challenging Math Problems Worth Solving K-8

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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