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Miss Glitter Teaches

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in Math · December 13, 2022

5 Easy Whole Group Math Game Ideas

It’s no secret that I love playing math games in my classroom. Any time I can make something a game, there is instant buy-in from my students. Even my most challenging classes like to play a whole group math game and usually, those are some of my best classroom management days. Who knew that playing games would actually make my class easier to manage?!

Usually, I use math games as a math station rotation where students play math games for 2 players. If you want to learn more about how to start math stations in your upper elementary classroom, be sure to check out my 5 Part Video Series where I teach all the nitty gritty details of starting math station rotations. In under a week, you can have your own math groups up and running! 

Sounds like a dream? Drop your email below and I’ll send you my FREE video series to your inbox.

Learn with Math Games

Can you really learn with math games? Yes, you totally can!

I’ve never met a student that didn’t like games. I have met a bunch of students who (sadly) don’t like math. But the real magic is when you combine the two.

Math games are engaging for students to play while also working on key math skills. By using engagement and competition, students can learn with math games.

Now, not all games are created equal. Some whole group math game ideas are focused on just 1 or 2 students doing math at a time. Other math games focus on multiple students doing math at the same time. There is a time and place for both types of whole group math games. I’m sharing both types below so keep scrolling.

If you are looking for more math games for 2 players, I have a blog post linked here where I share all about how to make math games that are fun. These games are great for math stations or having all students pair up and play a game all at the same time.

Learn with math games

Whole Group Math Game Ideas

When looking for whole group math game ideas, I try to keep in mind things that are engaging, competitive, and can be used with lots of different math topics. I also try to find games that have students up and moving. And of course, I’m all about low prep for me so these games have to be able to be played easily and without a lot of prep work. Now that I’ve set the group work, let’s get to the whole group math game ideas!

Around the World

An oldie but goodie whole group math game that my students love. I have used this game with math facts but also task cards for more challenging math topics. Have students stand in a circle with 1 student behind another. Then show a flashcard. Students solve and the first person correct wins the round. They then move on to the next student in the circle and stand behind them. This continues until a student makes it all the way around the circle.

Math Games 3rd Graders: Skip Count

I like to play this game with any grade that knows about skip counting. Sit in a circle and have students take turns skip counting by whatever number you decide. I have made this into a time competition over a few weeks to see if we can beat our time. Another way to play would be passing a ball across the circle and trying to keep the skip counting going. A fun, low-prep math games 3rd graders love!

Jeopardy 

This one is slightly more work but so much fun! I use free sets of task cards to create my jeopardy board. Simply tape the cards to the whiteboard in a grid and give each column a topic title. Split the class into a few groups and play jeopardy. This whole group math game is a great way to review before a unit test or even state testing in the spring.

list of whole group math game ideas

Whole Group Math Game: Back to Back

This game is similar to those around the world but instead, students are facing off on the whiteboard. Students stand back to back. I project a math problem on the screen and then students solve the problem. The first person to solve it correctly wins the round. The team with the most points by the end of class time wins.

This game is another easy way to use task cards. Looking for other ways how to use task cards? This blog post has even more ideas for upper elementary or middle school students.

Ghosts in the Graveyard

This game is a blast and can be used with any worksheet. I usually use a study guide for this whole group math game. Split the room into 2 teams and give each team a color. Students then pair up with a student on their team. They work to solve a problem and then I come around and check it. If it’s correct, I give students a ghost for their team’s color. Students then tape their ghosts on a headstone. The process repeats until I say stop (usually about 15 minutes). I then tally up the points: each headrest is worth a different point value that I know about but the students don’t know. I use 3 headstones, 1 worth 100 points, 1 worth 50, and 1 worth 0 🙂 Because students don’t know the point values of the headstones, it offers a bit of a challenge on where to put their ghosts.

Don’t want to use ghosts? Post-it notes work just fine!

Math Games for Large Groups

When should you play math games for large groups? I love to use these game ideas for just about anything! Reviewing before a unit test is always a given strategy and is way more fun than a simple study guide.

Another idea is to use a whole group math game to review before a holiday break. Especially when the week is cut short and you know students will be absent, a math game is a perfect idea. Since so many of these whole group math game ideas are low prep, they also make great plans for a snowy day.

One other way to use math games is to review before state testing. I know that preparing for standardized tests can be boring but a whole group math game could be just the thing to up the engagement. If you are looking for what test-taking strategies elementary students need, be sure to check out this blog post . I round up a bunch of different strategies to help set students up for success!

Math with games

More whole group math game ideas

Looking for more whole group math game ideas? These blog posts have so many ideas that are great for any age!

  • 16 Classroom Math Games for Learning and Fun
  • 3 Math Games You Can Use in Class Today
  • 20 Marvelous Math Games for 5th Graders
  • 10 Fun 5th Grade math Games to Help You Learn
  • Classroom Math Games for Memorable Fun

I’d love to know your favorite whole group math game! Drop your game ideas in the comments below!

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[…] I’ve played a whole-group math game with multiplication facts to help with repetition too. I share more about the games I play in this blog post if you want to check it out. […]

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Transform the first 5 – 10 minutes of math class into a pedagogical powerhouse. These openers promote rigorous thinking and discourse, and shift classroom culture toward student engagement and meaningful work. A perfect prerequisite for using rich tasks, and fantastic for every age.

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26 Whole Class Math Games

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26 Whole Class Math Games

Play these fun and engaging 26 math games with your pre-kindergarten to 8th grade students.

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20+ Maths Warm-Up Ideas for Your Classroom

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Written by Holly (Teach Starter)

Daily maths warm-ups are intended to be a quick way to loosen up a student’s brain. They are not meant to be something that is going to take a long time to organize or plan, but they’re something that can be used quickly for the whole class! 

Are you looking for simple m aths warm-up ideas for students to practise concepts they’ve learned in previous classes? They may still need to work on such as counting, addition, subtraction, place value, etc., but the members of the Teach Starter teacher team have put our heads together for some simple ideas that can make a real difference in getting students ready to dive deep into developing their maths skills! Read on for a look at why these warm-ups are so important, and some of our teacher team’s favourites!

Need math warm-up activities you can print right now? Skip to our maths warm-up activities collection !

The Importance of Maths Warm-Ups

You wouldn’t ask an athlete to run a race or a singer to go on stage without warming up first! Some might say that warming up your students’ maths brains at the start of a lesson is the most important part of the session. Warm-ups spark student interest before diving into your content by practising known, related information.

Reviewing familiar maths content can help students practice their base knowledge, bringing this understanding to the front of their minds so it’s ready to access when they dive into the newer, trickier stuff you’re about to teach.

Quick Maths Warm-Up Ideas for Primary School

We’ll kick things off with warm-ups you can do right on your whiteboard, then dive into number talks, circle games and a lot more to get their numerical minds working.

Maths Warm-Ups on the Whiteboard

File this under quick and easy: Using your classroom whiteboard and writing quick maths word problems on the board can be a great way to work those little minds, and it doesn’t take much more than your marker and a few ideas. Fortunately, our teacher team has plenty of those for you …

Play Who Am I using numbers

I am a number. I am 4 digits long. 3 and 5 are 2 of my many factors. What number could I be?

Work it out – the answer is… what is the question?

The answer is 3/4. What is the question?

Use numbers to get an answer.

The answer is 345. Use these numbers to work out a number of questions — 10, 3, 4, 5, 2, 1, 100.

Balance an even group of numbers using addition.

Use addition to balance these numbers so both sides are equal — 56, 38, 22, 16, 6, 40, 24, 27, 19, 32.

math warm-up question on a classroom whiteboard

Make a number using different methods and provided numbers.

Make 126. Use all of the numbers (200, 5, 4, 2, 6) to arrive at an answer of 126. You can use addition , subtraction, multiplication, or division, but each number may only be used once.

Guess the Number 

This is a fun maths warm-up that can be played as a whole class or in groups of three. Students stand up and without looking at the other player’s numbers, write a number between 2 and 9. The third player calls out the sum of the numbers, and the winner is the person who can figure out what number the other player has first. This can be differentiated for students by increasing or decreasing numbers or by having the third player find the product instead of the sum.

Number of the Day

Write a new number on the board each day, and make it a daily practice for students to interact with the number in a number of ways  — you can use equity sticks and call on students one by one to give you a number that is ‘more’ or ‘less’ than the number of the day. You can also ask one student to identify if the number of the day is odd or even, then call on other students to tell you another number that is odd or even!

Number Talk Activities

Number Talks are short, daily activities that allow students to have meaningful and highly engaging conversations about mathematics. Show students the front of the card, and ask the prompts on the back. These exchanges will lead to the development of more accurate, efficient and flexible strategies for students!

Explore our teacher team’s favourite  number talk resources — from volume to measurement and beyond!

Play Around the World

Around the World is a quick and easy maths warm-up idea for your classroom, and it can be changed to suit whatever you may be learning in the classroom. Also, if you feel your students need some outdoor fresh air – you can easily take this activity outside.

Here’s How to Play Around the World:

  • Students sit in a circle.
  • One student is picked to stand behind the class member next to them (these two students will play first).
  • The teacher asks a question such as, what is double 5?
  • The student who answers correctly first moves ‘around the world.’
  • If the winner is the student standing, they simply move to the next student sitting down.
  • If the winner is the student sitting down, they stand and move around the outside of the circle.

Math Warm-Up Poster Activities

Working on multiplication? These multiplication tummy filler posters are a lot of fun and an easy way to get kids thinking about how multiplication helps us expand numbers!

Choose a gorilla, panda or monster poster template to print. The number of copies made will depend on the multiplication number sentence being discussed. For example, if the number sentence was 3 x 4, three copies of the gorilla could be displayed.

Students then attach four concrete objects to each of the gorillas’ tummies. The concrete objects, which could be attached with sticky tack, might include linking cubes, match sticks, counters, etc. These objects represent the number of things eaten by the character. Write the matching repeated addition sentence below each gorilla, e.g., 4 + 4 + 4 — on your whiteboard! 

Large Paddlepop Stick Ladder Activity

This idea is gold! Yes, it takes a little time with the initial making of the activity, however, no time to set up once it has been created.  If you can, make a class set of paddlepop sticks so that each student has their own each time or can work in pairs. 

maths warm-up game using paddlepop sticks

The basic concept is that students get handed the full set, and they begin with the craft stick that has the word start written on it, working all the way to the finish line. They must find the matching answers to the math questions until all of the craft sticks are in order.

Math Warm-Up PowerPoints

Using a variety of different methods for each day’s math warm-up keeps it interesting for your students. Having a bank of different interactive PowerPoints (or Google slides) is another fantastic way to get those little minds thinking mathematically!

We have a variety of curriculum-aligned  maths interactive PowerPoints , covering a range of topics including;  place value, money, and multiplication and division.

Our Number of the Day Warm-Up PowerPoint is the perfect addition to your maths warm-up collection. All you need is a chosen number, and there are more than 20 different activities included in the PowerPoint. Easily change the level of this math warm-up by changing the number used.

‘I Have, Who Has’ Maths Game

There are so many different variations of this game, and you can keep track of how quickly the class gets through the cards to keep kids wanting more — they kept wanting to beat their record time.

The student that has the sentence ‘I am the starter’ begins the game by standing up and reading their card. Once they have read their clue, the student that has the matching number on their card stands up and reads what is on their card. The game continues until the last person reads out ‘I am the last number!’

i have who has maths warm-up game

The best part about this is that once you have printed and laminated these game cards, you can use them again and again! Perfect!

Use a Deck of Cards

The old faithful deck of cards can be used in a multitude of ways to get students’ brains warmed up for a math lesson. Here’s just one simple way you could use a deck of cards — project our printable place value mat onto your interactive whiteboard, then, randomly pull out four cards from your deck of cards.

Here’s what you can get your students to do with the four cards:

  • Students make the largest number they can with the four numbers.
  • Make the smallest number they can with the four numbers.
  • Get students to add the four numbers together.
  • Students pick two numbers to create a fact family tree.

green bar with the words click print teach, see free printables now

Number Charts for the Win

Utilizing hundreds boards and number charts is another simple way to get your students’ mathematics brains active. Use our Numbers 21-130 charts in a variety of ways. Print the black and white versions, and laminate them so they can be used again and again.

Here are some activity ideas:

  • Get students to fill in the gaps on the hundreds board.
  • Have students circle all of the even numbers on the first row in green.
  • Then ask the students to circle all of the uneven numbers pink on the second row.
  • Get students to close their eyes and point to a number – that is their number of the day and they can fill out our Number of the Day worksheet .
The options are endless with a number chart!

Get more inspiration from our collection of Maths Warm-Ups Resource Collection!

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Paula Hanlon

Hi, Just wondering if anyone was able to solve the following problem from above - Use addition to balance these numbers so both sides are equal – 56, 38, 24, 32, 18, 19, 40, 6, 16, 22. Given that they all add up to an odd number, we figure it is impossible to balance them evenly... Have we misunderstood the question? Thanks!

Chiposaur Gaming

you need to swap the 19 to be a 20 and it works :-)

Holly (Teach Starter)

Hi Paula, can you please specify which resources you may be referring to? That way we can answer your question with all of the correct information. Many thanks!

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28 Online Interactive Math Games Kids Will Love

K through 12 … it all adds up to fun!

Collage of online interactive math games including Number Bonds Match and Algebra Jeopardy

Looking for fun ways to get kids to do some math practice? Try these online interactive math games! They’re perfect for at-home enrichment or homework assignments. In the classroom, use them for fast finishers, or play as a group using your interactive projector or whiteboard.

  • Elementary School Online Interactive Math Games
  • Middle School Online Interactive Math Games
  • High School Online Interactive Math Games

Best Online Interactive Math Games for Elementary School

It’s important to spark an interest in math at a young age and build confidence in skills quickly. Fun interactive math games are a great way to do it.

Penalty Kick

Illustration of a soccer goal, with a pop up box reading

What students practice: Multi-digit multiplication

The game is simple enough: Each player takes a turn kicking a soccer ball or defending the goal. When they’re successful, they get to solve a math equation for a chance at a bonus point.

Play it: Penalty Kick at Coolmath Games

Puzzle Pics

Online math game with a grid of numbers. As each correct answer is selected, it reveals part of a mystery picture.

What students practice: Basic addition and subtraction

Click and drag the puzzle pieces to answer the math questions, revealing a cool picture at the end. There are multiple versions for different skills and levels, and you can change the target sums too.

Play it: Puzzle Pics at Math Playground

Bar Graphing With Eggs

Cartoon illustration showing five hens on nests, laying eggs, while a frying pan shifts underneath to catch the eggs

What students practice: Sorting, graphing

First, move the frying pan to catch the colored eggs as they fall from the chickens. Then, sort the eggs by pattern. Finally, use the eggs to create a basic bar graph.

Play it: Bar Graphing With Eggs at Education.com

Math Baseball

Screenshot from online Math Baseball game, showing a 2-digit addition problem and a player standing on home base ready to swing at the pitch

What students practice: Arithmetic skills

It’s a simple concept: Students solve addition, subtraction, multiplication, and division equations, then take a swing. You can change the difficulty from easy to “super brain,” so this is a game that grows with kids.

Play it: Math Baseball at Funbrain

Multiplication facts practice game with a squirrel and nuts theme

Practice math facts with a fun squirrel who needs your help to gather as many acorns as possible!

Play it: Going Nuts at Multiplication.com

Number Bonds

Screenshot of online math game showing spiral of numbered beads and a central number ball shooter

What students practice: Addition and number bonds

Choose a target sum between 10 and 20. Then, aim and shoot the center number ball at one of the balls circling the track to make the target sum. Repeat until all the balls are gone.

Play it: Number Bonds at Math Playground

Candy Cashier

Screenshot from Candy Cashier online math game showing rows of candy jars marked with prices, and money for paying

What students practice: Adding up money and making change

Help the monsters in your candy shop buy candy! As each monster comes in to make a purchase, add up the cost. Then, use their money to make the appropriate payment.

Play it: Candy Cashier at Math Playground

Estimation Contraption

Cartoon character standing next to a machine with a column of two-digit numbers called Estimation Contraption

What students practice: Estimation and addition

Estimation seems simple, but it can give some kids real trouble. Play this simple game to get practice rounding and adding numbers.

Play it: Estimation Contraption

Coin Weighing

Illustration showing a simple scale with a number of coins on each side of the scale

What students practice: Comparison, weights

Students have four chances to weigh coins to determine which one is fake. In addition to practicing weights, kids have to think carefully to solve the problem.

Play it: Coin Weighing at Math Game Time

Math Pac-Man

Pacman board with ghosts that have addition sums printed on them

What students practice: Arithmetic equations

Classic arcade game meets math! You’ll have to think fast to solve the equation and eat the right ghost. Try this one in pairs with one student solving and the other moving Pac-Man as fast as they can.

Play it: Math Pac-Man at Math Game Time

Canoe Puppies

Cartoon puppies in a canoe race, with a two-digit math problem underneath

Can your puppy-filled canoe beat the others to the finish line? Solve the equations quickly to paddle your way to victory. Students practice two-digit addition with this game.

Play it: Canoe Puppies at Math Playground

Kangaroo Hop

Cartoon kangaroos hopping onto a variety of shapes that match the description at the bottom of the screen

Hop from shape to shape faster than your opponents. Students need to know both 2D and 3D shapes to master this one. Kids learn geometric shapes with this game.

Play it: Kangaroo Hop at Math Game Time

Best Online Interactive Math Games for Middle School

As math becomes more challenging, it can also become more difficult to have student engagement. Entertaining math games help students sharpen their skills without feeling like a bore.

Move Here Move There

7 x 7 grid with colorful squares showing numbers and directional arrows

Use logical reasoning to create a path from the dark blue tile to the green target tile. Part coding, part logic game, this one is excellent for building deductive-reasoning skills.

Play it: Move Here Move There at Coolmath Games

Orbit Integers

Four cartoon spaceships racing each other, with a math problem underneath

What students learn: Adding and subtracting positive and negative integers

Can you win the space race? Students need to solve the equations faster than everyone else in the competition to soar into first.

Play it: Orbit Integers at Math Playground

Math in Music

Screenshot from an online math game asking you to count the number of beats in a music sample

What students practice: Real-world algebra skills

Students always ask how they’ll use math in real life, and this game gives an example. The challenge is to adjust the music tracks so they align. First, though, they have to figure out how many beats per minute in each. How will they solve the problem?

Play it: Math in Music at Get the Math

Fruit Splat

Colorful fruit images floating on a screen with numbers in each, and a target bubble saying

Practice identifying prime and composite numbers with this simple game. Move the target around the screen and SPLAT the fruit matching the description.

Play it: Fruit Splat at Sheppard Software

Puppy Chase

Cartoon puppies racing with a fraction math problem underneath the online math game

What students practice: Decimals and equivalent fractions

Click the equivalent decimal from the fraction given. The faster you find the answers, the more you move ahead to win the race!

Play it: Puppy Chase at Math Playground

Find the Quark

Battleship-type math game with little monsters plotted on a coordinate plane

What students practice: Coordinate graphing

If kids have played Battleship, they’ll recognize this game. This time, they’re looking for the Quarks hidden somewhere on the board.

Play it: Find the Quark at JLab

High-Stakes Heist

Screenshot from online math game called High Stakes Heist, showing a safe with a combination lock students can open by solving a math problem using order of operations

What students practice: Order of operations

Crack the safe by solving an equation, one step at a time, using the correct order of operations. If you make a mistake, you can go back to the previous step to fix it.

Play it: High-Stakes Heist at ABCYa

Algebraic Reasoning Sweet Shop

Cartoon candy store with several piles of candy, and a calculator for figuring out the value of each using algebraic reasoning

What students practice: Mental math, writing equations

Using the stacks of various candies that add up to certain amounts, determine how much each individual candy is worth. This can be done as mental math or by writing out and solving equations.

Play it: Algebraic Reasoning Sweet Shop at Math Playground

Boat Coordinates

Cartoon boats racing on a four-quadrant coordinate plane

Enter the coordinates to send the boat on its way to the finish line. Stop along the way to pick up coins but be sure to avoid obstacles. You have a limited amount of time, so think fast! This game can be customized with single-quadrant or four-quadrant boards.

Play it: Boat Coordinates at MathNook

Best Online Interactive Math Games for High School

Higher-level math doesn’t have to be all work and no play. Online math games for high school students are harder to find, but these games give students the chance to practice their skills in unique ways.

Exponents Jeopardy

Math jeopardy game with cartoon players

What students practice: Exponents

You know the drill: Pick a category, solve the equation, earn the points. Be careful though! If you’re wrong, you can lose all the points you’ve earned.

Play it: Exponents Jeopardy at Math Play

Wrecks Factor

Screenshot from a submarine math game requiring players to factor quadratic equations

What students practice: Factoring quadratic equations

Ships sail onto the board and wreck, displaying a quadratic equation. Factor the equation, then click and drag the correct answer to the points on the grid that surround the boat. More boats continue to arrive, and if one sinks before you solve the equation, you lose a life.

Where to find it: Wrecks Factor at Mangahigh

Math in Fashion

Screenshot from a game about using applied math in fashion, with a sheet breaking down the costs involved in making a shirt for sale

What students practice: Decimals, multiplication, problem-solving

See how math plays a role in fashion design as you try to alter the design of a blouse to meet the target price. This is a fun game to play together in groups so you can see how others would make the changes.

Play it: Math in Fashion at Get the Math

Transformation Golf

Four-quadrant coordinate plane with spaces to enter variables like translation, rotation, deflection, and more

What students practice: Translation and transformation in a coordinate plane

Pick a transformation and then a factor choice of that transformation to get the golf ball into the hole. Includes translation, rotation, reflection, and dilation.

Play it: Transformation Golf at Hooda Math

Sortify: Angles

Math game with a series of cards showing various angles and buckets to sort them into

What students practice: Types of angles, basic geometry

Sort the cards by dragging them into bins and placing the correct label on them. Some cards need to be linked together, like those that form complementary or supplementary angles. Submit the bins to be checked and earn points for correct answers.

Play it: Sortify Angles at BrainPOP

Math in Videogames

A one-quadrant coordinate plane with a small asteroid and a rocket, and a space for entering coordinates

What students practice: Graphing on a coordinate plane

Students practice graphing linear paths on a coordinate plane with this game, and keep the spaceship from crashing into the asteroid.

Play it: Math in Videogames at Get the Math

Four quadrant coordinate plane with two intersecting lines drawn on it

What students practice: Geometry

While not a game per se, we love the interactive site GeoGebra for creating graphs, 3D shapes, and more. It’s a perfect way to add an interactive touch to your geometry lessons.

Where to find it: GeoGebra

Looking for more online math content? Check out our big list of the best math websites for students K-12.

Plus, get more helpful teaching and learning ideas like this when you sign up for our free newsletters.

From counting and basic arithmetic to advanced subjects like geometry and trig, these online interactive math games have something for all.

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Whole-class scaffolding for learning to solve mathematics problems together in a computer-supported environment

  • Original Article
  • Published: 27 August 2015
  • Volume 47 , pages 1163–1178, ( 2015 )

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whole class problem solving maths

  • Rotem Abdu 1 ,
  • Baruch Schwarz 2 &
  • Manolis Mavrikis 3  

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16 Citations

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We investigate teachers’ practices in a whole-class context when they scaffold students’ learning in situations where students use technologies that facilitate group learning to solve mathematical problems in small groups. We describe teachers’ practices in order to evaluate their contribution to Whole-Class Scaffolding in the context of a course that was meant to facilitate learning to solve mathematical problems in small groups. Sixteen and twenty four junior high students took part in two iterations of a design research correspondingly. We identify six teacher practices. These practices include: (1) Presenting strategy-oriented problems in order to familiarize students with mathematical problem solving strategies and heuristics; (2) Decomposing a problem into stages; (3) Modelling the use of the dedicated technologies; (4) Preliminary Learning to Learn Together (L2L2) talk; (5) Routine L2L2 talk; and (6) Summative L2L2 talk. We conclude that scaffolding learning to solve mathematical problem together in a whole-class context is feasible with suitable technologies. This study also provides insights on the Whole-Class Scaffolding theory and on the ways group learning could enhance students’ ability to solve mathematical problems individually.

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Acknowledgments

We would like to thank Raul Drachman, and Michal Tabach for their contribution for the design-based research process; Abraham Arcavi, for his precious remarks on drafts of this article; Reuma de Groot for her participation in the data analysis; and Matan Gross and Eirini Geraniou for their valuable comments.

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Authors and affiliations.

The Department of Cognitive Sciences, The Hebrew University, Mount Scopus, Jerusalem, Israel

School of Education, The Hebrew University, Mount Scopus, Jerusalem, Israel

Baruch Schwarz

London Knowledge Lab, University of London, 23-29 Emerald Str., London, NW10XA, UK

Manolis Mavrikis

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Correspondence to Rotem Abdu .

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Abdu, R., Schwarz, B. & Mavrikis, M. Whole-class scaffolding for learning to solve mathematics problems together in a computer-supported environment. ZDM Mathematics Education 47 , 1163–1178 (2015). https://doi.org/10.1007/s11858-015-0719-y

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Accepted : 01 August 2015

Published : 27 August 2015

Issue Date : November 2015

DOI : https://doi.org/10.1007/s11858-015-0719-y

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Classroom Maths Ideas & Activities For You



















































































































































Stand at front of room. Say “I have 2 brothers”. Anyone else in the room that has 2 brothers joins you – linking arms. One of them states another attribute. Etc.

Nil.

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2 students sit back-to-back. Give each the same number and the same number of each color of pieces. One builds a shape and then gives instructions to the other so he/she builds the same shape.

2 sets of 9 to 10 pieces of construction material.

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A B C As for regular tic-tac-toe,
1__/__/__ here 2 competitors cannot
2__/__/__ look at the board. Have to
3__/__/__ give grid references, eg. B2

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In pairs, ask the children to sort the buttons provided to them by one attribute. Now by 2 attributes (eg. shape and number of button holes). Now 3.

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Skip counting, students must say “buzz” on designated multiples or on designated final numbers (eg. “buzz” on any numbers that end in a 0 or 2 when counting by 4s).

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Choose 2 students. One student gets the calculator. The other has to work out the mental computation problems you ask in their head. First to score 3 points.

A calculator.

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Have some coins totaling $1, 50c, 30 or 20c in your pocket. For example, tell the students you have 30c. What coins do I have? See if they can match your coins.

Some coins, try 50c – 1 x 20c, 1 x 10c and 4 x 5c.

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Using only the numbers in that day’s date (eg. 16/02/12) the students (in pairs or as a class) must make a number sentence for all the numbers 1 to 20.

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Ask a student to stand outside of the room. Now hide an object within the room. Student returns. Now, using clear directions such a right/left, quarter turn, forward/back, etc. lead him/her to object.

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In each corner of the room attach a clearly seen Club, Spade, Diamond and Heart. Tell students you are going to turn over one from a deck of cards. They go to the corner of the suite they believe will be turned over.

Deck of playing cards.

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Ask a group of students to stand in one corner. Now choose some more to form another group. Continue until all students are grouped. Ask students – how did I group you? What attribute? Use color of clothing/shoe type/same letter in first name, etc.

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Use 1 coin. What can occur? 10 flips – record on board. What happened? Using 2 coins – what combinations could occur? 2 heads – put hands on head. 2 tails – put hands on tail. 1 head and 1 tail – put 1 hand on head, 1 on tail.

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Choose a student to look away from the board. On the board draw a regular shape slowly and so that the student can hear it being drawn (eg. a rectangle). What was the shape? How do you know?

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“I have some money in my pocket. You have 8 questions that you can ask me to find out how much I have. After 8 questions you can guess." Emphasize the importance of not guessing numbers haphazardly.

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Students need to find ways to stand and literally organize themselves into their birthday months at the front of the room.
At grades 3 to 5 – do this without talking at all.

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Students make digital numbers using popsticks and following a calculator display. Start with 0, then 1, 2, etc. When they start running out of sticks – “I think there’s a number that all digital numbers can be made from – I wonder what it is?”

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Give children (in groups or whole class) 4 or 5 clues to the number you’re thinking of. Children should wait until you have provided all the clues before guessing. “I am a 2 digit number; I am an odd number; the first digit is even; my digits add up to 7”. What's the number?

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Ask students to consider then record how many full swings the pendulum will make in 30 seconds. Students count the swings. Compare with prediction. Now halve the length of string. Predict again.
Swing and count. Compare. Halve again.

Ball of blu-tak attached to an 18cm ball of string.

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Pull numbers (0 to 9) one at a time from a container. Students try to make the largest number possible. Play from tens and ones (Foundation) up to millions (Grades 4,5,6)

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Nil.

F to 5

Using Post-Its or similar, place an unseen number on students’ foreheads or backs. They can ask yes/no questions of others to work out their number

Post-Its.

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Choose a number (for example, 11). Tell the children that you want all of them to think of something special about number 11. It can be what the number means to them, it can be how the number looks, it can be mathematical.

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F to 6

Students, in turn, take as close to ten seconds as possible to walk a designated distance (eg. across the room). Before declaring the time, students guess how long it took.

Stopwatch.

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2 to 6

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Abstract [en].

Promising teaching approaches for developing students’ mathematical competencies include the approach of teaching mathematics through problem solving. Orchestrating a whole-class discussion of students’ ideas is an important aspect of teaching through problem solving. There is a wide consensus within the field that it is very challenging for the teacher to conduct class discussions that both build on student ideas and highlight key mathematical ideas and relationships. Further, fostering argumentation in the class, which is important for students’ participation, is also a grand challenge. Teachers need support in these challenges. The aim of the thesis is to characterize challenges and support for mathematics teachers in orchestrating productive problem-solving whole-class discussions that focus on both mathematical connection-making and argumentation. In particular, it is investigated how Stein et al.’s (2008) model with five practices – anticipating, monitoring, selecting, sequencing and connecting student solutions – can support teachers to handle the challenges and what constitutes the limitations of the research-based and widely-used model. This thesis builds on six papers. The papers are based on three intervention studies and on one study of a mathematics teacher proficient in conducting problem-solving class discussions. Video recordings of observed whole-class discussions as well as audio-recorded teacher interviews and teacher meetings constitute the data that are analyzed. It is concluded in the thesis that the five practices model supports teachers’ preparation before the lesson by the practice of anticipating. However, making detailed anticipations, which is shown to be both challenging and important to foster argumentation in the class, is not explicitly supported by the model. Further, the practice of monitoring supports teachers in using the variety of student solutions to highlight key mathematical ideas and connections. Challenging aspects not supported by the monitoring practice are, however, how to interact with students during their exploration to actually get a variety of different solutions as a basis for argumentation. The challenge of selecting and sequencing student solutions is supported for the purpose of connection-making, but not for the purpose of argumentation. Making mathematical connections can be facilitated by the last practice of connecting, with the help of the previous practices. However, support for distinguishing between different kinds of connections is lacking, as well as support for creating an argumentative classroom culture. Since it is a great challenge to promote argumentation among students, support is needed for this throughout the model. Lastly, despite the importance and challenge of launching a problem productively, it is not supported by the model. Based on the conclusions on challenges and support, developments to the five practices model are suggested. The thesis contributes to research on the theoretical development of tools that support teachers in the challenges of orchestrating productive problem-solving whole-class discussions.

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Keywords [en], national category, research subject, identifiers, public defence, da ponte, joão pedro, professor, supervisors, ryve, andreas, professor, list of papers, ryve, andreas, nilsson, per.

Balancing content and students' participation in the mathematics classroom is an area of both practical and theoretical interest. In this article we relate and contribute to these two interests by analyzing classroom data from an intervention project aiming at teaching mathematics through problem solving. The study shows that several aspects such as mediating tools, the teacher's conceptual accountability and interactional moves play important roles in the nature of the co-construction of critical dimensions of variation. We therefore suggest that an analysis of content and participation in the mathematics classroom would benefit from drawing on several theoretical sources. As such, the study could be seen as a contribution to recent elaborations on developing variation theory for analyzing the enacted object of learning.

Establishing and maintaining key mathematical practices in wholeclass discussions, such as justifying claims, representing mathematical objects and making connections between the representations, is crucial to the development of students' mathematical competencies. The aim of this article is to investigate how and why the establishment of key mathematical practices in whole-class discussions varies in a teaching mathematics through problemsolving project. Analyses of transcribed video-recorded whole-class discussions result in the suggestion that the complexity of the mathematical problem itself as well as the complexity related to teaching the problem may contribute to more procedure-oriented practices instead of competency-oriented practices that create opportunities for the students to develop their mathematical competencies on a broad front. However, the results also suggest that the teaching of complex mathematical problems might develop the teacher's establishment and maintenance of key mathematical practices. Researchers initiating an intervention project hence have to consider both the students' and the teacher's learning trajectories, which might not always coincide. Other important aspects for the researcher to consider are discussed and pointed out as important areas for future research, such as how explicit introduction of appropriate frameworks may support teachers in learning to teach mathematics through problem solving.

How can researchers support teachers in the complexity of orchestrating productive mathematical whole-class discussions based on students’ solutions to challenging problems? This study has two aims: Firstly, to study how the teacher can select, sequence and connect different student solutions in order to effectively orchestrate mathematical whole-class discussions. Secondly, to critically reflect on the role of the researchers in this intervention project. Analyses of audio recorded interviews and video recorded whole-class discussions result in suggestions for how student solutions can be sequenced in this particular case to set the scene for connecting them with each other and with key mathematical ideas. We further critically reflect on how we as researchers can improve our work in supporting practicing teachers.

How can pedagogical models support in-service and pre-service teachers in the complexity of orchestrating productive mathematical whole-class discussions? The overarching aim of this paper is to elaborate on a newly developed model to make it an even more useful tool for teachers to manage the challenging task of conducting productive whole-class discussions. Analyses of audio-recorded interviews and video-recorded whole-class discussions with a proficient mathematics teacher result in principles for how student solutions can be sequenced in order to take into account argumentation as well as connection-making in whole-class discussions. The findings suggest broadening the last practice in the five practices model to also incorporate the practice of arguing.

Research is needed on frameworks that support teachers in the important and challenging work of orchestrating productive problem-solving whole-class discussions. The aim of this paper is to explore a framework for classroom culture with the overarching goal of supporting teachers in conducting class discussions focused on argumentation as well as connection making. Analyses of video-recorded whole-class discussions result in the articulation of some difficulties in clearly distinguishing between certain interaction patterns within different classroom cultures. The overall findings, however, suggest that the framework can be useful for characterizing interaction in terms of an inquiry/argument classroom culture.

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  • PDF version
  • Fox vs Rabbit #2

Fox vs Rabbit is an activity involving mathematical modelling of a fox chasing a rabbit. The rabbit has a head-start, but the fox is faster. The aim is to find out when the fox will catch the rabbit, and whether or not the rabbit has time to reach his burrow.

  • 1..2..3..4.. Challenge

The 1..2..3..4.. Challengs is a number problem involving using the numbers 1, 2, 3 and 4 along with arithmetic operators to make the numbers from 1 to 20. It is great for practicing PEMDAS and getting children to persevere and develop their mental arithmetic skills.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

  • Blank version
  • Frazer's Wall #2

Frazer's Wall #2 is a fraction problem solving activity which involves trying to work out the number of bricks that were laid in each day to find out how long it would take to make a wall. This problem is best solved by using a table or working it out one day at a time.

  • Millenary Math

Millenary Math is a time problem involving what the time will be in a thousand years/weeks/hours/minutes, etc. It is a good activity for converting units of time and knowing facts like how many days are in each month. There is no answer sheet, as the activity involves using the current time.

  • Sally's Fruit Punch #3

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

  • Sally's Fruit Punch #3 UK Version
  • Share the Treasure #5

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

  • Something Fishy #2

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent a fixed amount of money on the fish. It is a good activity for using lists and tables to find all possibilities. It is also great for perseverance!

  • Something Fishy #2 UK Version
  • The Five Primes

The Five Primes is a number activity involving finding five primes with different totals. It is a good activity for learning prime numbers up to 30, and also for working systematically.

  • The Rock Race #3

The Rock Race is a 5th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

  • Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

  • Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

  • Number Totals Investigation

Number Totals Investigation is a PEMDAS number task which involves using 3 digits and operations to make the largest or smallest possible total.

Looking for some easier math problems?

We have a range of easier word problems on our 4th grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Share the Treasure, The Rock Race, Something Fishy have easier versions on this page.

  • 4th Grade Math Problems

Looking for some more fifth grade math word problems?

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

  • apply their addition, subtraction, multiplication and division skills;
  • apply their knowledge of rounding and place value;
  • solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

  • 5th Grade Math Puzzles

Here you will find a range of printable 5th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

  • learn and practice their addition facts, including decimals;
  • practice their subtraction facts, including decimals;
  • practice and apply multiplication and division facts;
  • develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 5th grade.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

  • Math Games 5th Grade

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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Maths Week Problems

A collection of resources for maths week 2016.

Throughout Maths Week, Scoilnet hosted the PDST Numeracy Brainteaser Challenge. Schools and classes around Ireland were encouraged to submit pictures of their brainteaser work or upload their answers on Twitter using the hashtag @PDSTNumeracy or @ScoilnetPrimary. All schools were submitted to a draw to win a set of PDST Numeracy handbooks.  

Junior Brainteaser - What Shape and Colour?

Document on a Junior Brainteaser - What Shape and Colour? Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to analyse the worksheet in order to recognise the hidden patterns and sequences.

How it maps to the curriculum

Strand: Algebra

Content objective: This resource should enable a child to:

  • identify, copy and extend patterns in colour, shape and size

Suggestions for use: Together as a class, solve the Problem of the Day. Promote reasoning behind the solution.

Suggestions for use: Whole class discussion by projecting onto whiteboard. Alternatively, set brainteaser challenge to groups with each group explaining the reasoning behind their problem solving solution. Alternatively, set as an independent brainteaser whereby students think think-pair-share their ideas.

whole class problem solving maths

Senior Brainteaser - A Bit Fishy

Document on a Senior Brainteaser - A bit Fishy. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to solve and complete practical problems and tasks involving money.

Strand: Measures

Strand unit: Money - Euro

  • solve and complete one-step problems and tasks involving the addition and subtraction of money
  • solve and complete practical one-step and two-step problems and tasks involving the addition, subtraction, multiplication and simple division of money

Suggestions for use: Solve the Problem of the Day Brainteaser Challenge individually, in pairs or as a class.

  • compare 'value for money' using unitary method
  • explore value for money

whole class problem solving maths

Junior Brainteaser - Construct 2-D Shapes

Document on a Junior Brainteaser - Construct 2-D Shape. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to work with a partner. Materials needed include 10 lollipop sticks for each pair of students. Questions included in the worksheet.

Strand: Shape & Space

Strand unit: 2-D Shapes

  • combine and divide 2-D shapes to make larger or smaller shapes
  • give simple moving and turning directions
  • solve problems involving shape and space
  • solve problems involving shape
  • sort and name 2-D shapes: square, circle, triangle, rectangle
  • sort, describe and name 2-D shapes: square, circle, triangle, rectangle
  • use suitable structured materials to create pictures

Suggestions for use: Set the Problem of the Day Brainteaser Challenge using the guided worksheet. Teacher questions and extension activity provided.

  • construct and draw 2-D shapes
  • identify and discuss the use of 2-D shapes in the environment
  • identify half and quarter of shapes
  • sort, describe, compare and name 2-D shapes: square, rectangle, triangle, circle, semicircle, oval
  • sort, describe, compare and name 2-D shapes: square, rectangle, triangle, circle, semicircle

whole class problem solving maths

Senior Brainteaser - Hare and Tortoise

Document on a Senior Brainteaser - Hare and Tortoise Race. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore the relationship between time, distance and average speed.

Strand unit: Time

  • explore the relationship between time, distance and average speed

whole class problem solving maths

Junior Brainteaser - Geoboards & Dotted Paper

Document on a Junior Brainteaser - Geoboards & Dotted Paper. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to work with a partner and a geoboard.

Strand: Number

Strand unit: Fractions

  • establish and identify half of sets to 20
  • establish and identify halves and quarters of sets to 20

Suggestions for use: Explain the activity to the class using the document. Ensure each pair has a geoboard to work on. Emphasis the recording of results. Encourage the communication of reasoning as to how the problem was solved.

whole class problem solving maths

Geoboard - Maths Playground

A site where students make and manipulate angles, triangles and rectangles using a geoboard and virtual rubber bands.

whole class problem solving maths

Senior Brainteaser - Piggy Goes Shopping

Document on a Senior Brainteaser - Piggy Goes Shopping. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore, express and identify place value in decimal numbers to two places.

Strand unit: Place Value

  • identify place value in whole numbers and decimals
  • read, write and order whole numbers and decimals

Suggestions for use: Teachers can use the document as a guide to prepare in planning out the activity for the class. Resources for the Problem of the Day included in the document.

whole class problem solving maths

Junior Brainteaser - Magic Square Activity

Document on a Junior Brainteaser - Magic Square Activity. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to add rows, columns and diagonals along with identifying in the incorrect number.

Strand unit: Counting & Numeration

  • count the number of objects in a set
  • read, write and order numerals 0-199

whole class problem solving maths

Senior Brainteaser - Pigs and Ducks

Document on a Senior Brainteaser - Pigs and Ducks. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to explore the problem using addition, subtraction and multiplication.

Strand unit: Operations

  • add and subtract, without and with renaming, within 999
  • develop and recall multiplication facts within 100

Suggestions for use: Class to work with a partner on the word problem.

  • add and subtract whole numbers and decimals (to three decimal places) without and with a calculator
  • estimate sums, differences, products and quotients of whole numbers

whole class problem solving maths

Junior Brainteaser - Train Task Cards

Document on a Junior Brainteaser - Train Task Cards. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. This activity is adapted from the Nrich website . An interactive Cuisenaire version is available on the Nrich website. Show the pupils a ‘train’ made from three pink Cuisenaire rods.

Strand unit: Length

  • compare and order objects according to length or height
  • develop an understanding of the concept of lengt through exploration, discussion, and use of appropriate vocabulary
  • estimate and measure length in non-standard units

Suggestions for use: Use the document as a teacher guide to the Problem of the Day Brainteaser Challenge. See related resources for the related ICT resource.

  • estimate, compare, measure and record length using non-standard units
  • solve and complete practical tasks and problems involving length

whole class problem solving maths

Senior Brainteaser - Two Jug Puzzle

Document on a Senior Brainteaser - Pigs and Ducks. Recommended by PDST Numeracy Team for Maths Week Daily Brainteaser Challenge. Answers can be submitted via @PDSTNumeracy @ScoilnetPrimary. Students will need to rename units of capacity in litre and millilitres and decimal or fraction form.

Strand unit: Capacity

  • rename units of capacity using decimal and fraction form

Suggestions for use: Teachers can use the document as a guide to carrying out the brainteaser with their class for maths week.

  • estimate and measure capacity using appropriate metric units
  • rename measures of capacity

whole class problem solving maths

PDST Numeracy manuals can be purchased through Laois Education Centre .

Measures Handbook - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this Teacher’s Handbook is to assist teachers in teaching the strand of Measures (infants to 6th class). This comprises the Strand Units of Length, Area, Weight, Capacity, Time and Money. This resource is intended to complement and support the implementation of the Primary School Mathematics Curriculum (PSMC) rather than replace it.

Suggestions for use: Teachers should use the handbook as an instructional framework advocating methods of eliciting, supporting and extending higher-order mathematics skills such as reasoning; communicating and expressing; integrating and connecting; and applying and problem solving

whole class problem solving maths

Matapas - PDST

Lámhleabhar an Mhúinteora

whole class problem solving maths

Mental Maths Strategies for Addition and Subtraction - PDST Handbook

This manual has been designed by members of the PDST. The booklet intends to support teachers in developing addition and subtraction mental maths strategies in their classroom. The booklet explores the key properties of number and number relationships relating to addition and subtraction. , outlining practical approaches to developing an understanding of these. It also explores background knowledge for teachers and fundamental facts in relation to mental maths. A range of concrete, practical activities that will support pupils in their development of addition and subtraction mental maths strategies is also outlined. Finally, a selection of engaging and enjoyable activities to consolidate learning and provide opportunities for pupils to master addition and subtraction facts is included.

Suggestions for use: Teacher handbook for Addition and Subtraction.

whole class problem solving maths

Mental Maths Handbook - Multiplication & Division - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The booklet is intended to support teachers in developing multiplication and division mental maths strategies in their classrooms. It has been designed to accompany the PDST Mental Maths workshops.

Suggestions for use: Teachers can use the range of concrete, practical activities that will support pupils in their development of multiplication and division mental maths strategies are also outlined. Also included is a suggested alternative strategic sequence through which pupils may acquire their multiplication facts.

whole class problem solving maths

Shape and Space Manual - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this manual is to assist teachers in teaching the strand of Shape and Space (infants to 6th class)

Suggestions for use: Teacher guidance in the teaching and learning of Shape and Space.

whole class problem solving maths

Place Value, Decimals & Percentages: Teacher's Manual - PDST Numeracy

This manual has been designed by members of the Professional Development Service for Teachers. The aim of this resource is to assist teachers in teaching the strand units of Place Value (1st to 6th class), Decimals (3rd to 6th class) and Percentages (5th and 6th class).

Suggestions for use: Teacher handbook for place value.

Strand unit: Decimals

Suggestions for use: Teacher handbook for decimals.

Strand unit: Decimals & Percentages

Suggestions for use: Teacher handbook for decimals & percentages

whole class problem solving maths

Problem Solving Winners

Bodyke National School, Co. Clare

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Cambridge University Faculty of Mathematics

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
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Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Mathematical mindsets
  • Cross-curricular contexts
  • Physical and digital manipulatives

For younger learners

  • Early Years Foundation Stage

Advanced mathematics

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Published 2001 Revised 2014

Using Questioning to Stimulate Mathematical Thinking

Types of questions, levels of mathematical thinking, combining the categories.

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whole class problem solving maths

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  1. How To Divide Whole Numbers By Fractions

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  5. A Collection of Maths Problem Solving Questions:#18

  6. MATH 4 || QUARTER 1 WEEK 4 LESSON 2

COMMENTS

  1. 26 Whole Class Math Games: Adaptable For All Students

    2 Mental math and problem-solving whole class math games 21. Multiplication baseball. Grade level: Grades 3-4. Multiplication baseball infuses the excitement of baseball with multiplication practice. How to play: Players form two teams, one batting and the other fielding. The batting team's players take turns answering multiplication ...

  2. 5 Easy Whole Group Math Game Ideas

    Simply tape the cards to the whiteboard in a grid and give each column a topic title. Split the class into a few groups and play jeopardy. This whole group math game is a great way to review before a unit test or even state testing in the spring. This list of whole group math game ideas that you can play with any grade level.

  3. Developing a Classroom Culture That Supports a Problem-solving ...

    This article offers you practical ways to investigate aspects of your classroom culture. It also offers suggestions to help you develop the culture further so that students are encouraged to develop as independent mathematicians with strong problem-solving skills. This is important as we know that independent problem-solving skills are ...

  4. Going Deeper: Achieving Greater Depth in the Primary Classroom

    In our mathematics lessons, our curriculum challenges teachers to develop fluency, reasoning and problem-solving skills, and trying to find a balance within a particular lesson can be a challenge (this is an aspect we explore more fully in this article by Clare Lee and Sue Johnston-Wilder). By choosing LTHC activities, learners can easily get ...

  5. 20 Effective Math Strategies For Problem Solving

    Here are five strategies to help students check their solutions. 1. Use the Inverse Operation. For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7.

  6. Openers

    Openers. Transform the first 5 - 10 minutes of math class into a pedagogical powerhouse. These openers promote rigorous thinking and discourse, and shift classroom culture toward student engagement and meaningful work. A perfect prerequisite for using rich tasks, and fantastic for every age. NEW!

  7. [FREE] 26 Whole Class Math Games

    Play these fun and engaging 26 math games with your pre-kindergarten to 8th grade students. These engaging, low-stakes games provide students with the opportunity to practice new math skills and consolidate their learning. Designed to be versatile to allow for use during different topics and different levels of ability. Each game can be used ...

  8. 20+ Maths Warm-Up Ideas for Your Classroom

    The answer is 345. Use these numbers to work out a number of questions — 10, 3, 4, 5, 2, 1, 100. Balance an even group of numbers using addition. Use addition to balance these numbers so both sides are equal — 56, 38, 22, 16, 6, 40, 24, 27, 19, 32. Make a number using different methods and provided numbers. Make 126.

  9. Co-operative Problem Solving: Pieces of the Puzzle Approach

    The content of this article is largely drawn from an Australian publication by Peter Gould that has been a source of many successful mathematics lessons for both children and student-teachers. It presents a style of problem-solving activity that has the potential to benefit ALL children in a class, both mathematically and socially, and is readily adaptable to most topics in mathematics curricula.

  10. PDF Why Whole Class Discussions?

    Teaching through a problem-solving approach that focuses on student understanding can help students learn math. Whole class discussions to support student learning are essential in NCTM standards-based programs (Kazemi & Stipek, 2001; Stein, Engle, Smith, Hughes, 2008). My goal in this book is to share effective whole class

  11. 14 Effective Ways to Help Your Students Conquer Math Word Problems

    14. Use a problem-solving rounds activity. Put all those word problem strategies and skills together with this whole-class activity. Start by reading the problem as a group and sharing important information. Then, have students work with a partner to plan how they'll solve it. In round three, kids use those plans to solve the problem ...

  12. The Best Online Interactive Math Games for Every Grade Level

    What students practice: Addition and number bonds. Choose a target sum between 10 and 20. Then, aim and shoot the center number ball at one of the balls circling the track to make the target sum. Repeat until all the balls are gone. Play it: Number Bonds at Math Playground.

  13. PDF Problem-solving activities: ideas for the classroom

    problem-solving club pilot scheme, with the aim to set up a new mathematics or computing focused problem-solving club for their students. Each club developed its own programme of activities, and teachers were encouraged to explore opportunities to embed the problem-solving activities they ran into the curriculum.

  14. Whole-class scaffolding for learning to solve mathematics problems

    We conclude that scaffolding learning to solve mathematical problem together in a whole-class context is feasible with suitable technologies. This study also provides insights on the Whole-Class Scaffolding theory and on the ways group learning could enhance students' ability to solve mathematical problems individually. ... 2.1 Math problem ...

  15. Classroom Maths Ideas & Activities For You

    Date Maths. Using only the numbers in that day's date (eg. 16/02/12) the students (in pairs or as a class) must make a number sentence for all the numbers 1 to 20. Nil. 3 to 6. Follow My Directions. Ask a student to stand outside of the room. Now hide an object within the room. Student returns.

  16. Exploring Fractions

    Exploring Fractions. Introduction. At NRICH, our aim is to offer rich tasks which develop deep understanding of mathematical concepts. Of course, by their very nature, rich tasks will also provide opportunities for children to work like a mathematician and so help them develop their problem-solving skills alongside this conceptual understanding.

  17. PDF Prepare problems and use them in whole-class instuction

    of math content when planning lessons. Prepare problems and use them in whole-class instuction How to carry out the recommendation Potential roadblocks 1. Teachers are having trouble finding problems for the problem-solving activities. 2. Teachers have no time to add problem-solving activities to their math instruction. 3. Teachers are not sure ...

  18. Orchestrating mathematical whole-class discussions in the problem

    This thesis builds on six papers. The papers are based on three intervention studies and on one study of a mathematics teacher proficient in conducting problem-solving class discussions. Video recordings of observed whole-class discussions as well as audio-recorded teacher interviews and teacher meetings constitute the data that are analyzed.

  19. 5th Grade Math Problems

    The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them. The skills the problems will help to develop include: systematic working. logical thinking. number fact knowledge. fraction problems. trial and improvement strategies. working backwards.

  20. NRICH topics: Physical and digital manipulatives Practical activity

    Problem Primary curriculum Secondary curriculum Egyptian Rope The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots.

  21. Exploring and developing a framework for analysing whole-class

    Leading whole-class discussions in mathematics instruction in a productive way is identified as a core practice. However, productive discussions are rarely seen in classrooms. ... (Citation 2008) suggested that making the connection between students' contributions is a key practice in whole-class discussions on problem-solving tasks.

  22. Maths Week Problems

    Throughout Maths Week, Scoilnet hosted the PDST Numeracy Brainteaser Challenge. ... Suggestions for use: Whole class discussion by projecting onto whiteboard. Alternatively, set brainteaser challenge to groups with each group explaining the reasoning behind their problem solving solution. Alternatively, set as an independent brainteaser whereby ...

  23. Using Questioning to Stimulate Mathematical Thinking

    Within the context of open-ended mathematical tasks, it is useful to group questions into four main categories (Badham, 1994). These questions can be used be the teacher to guide the children through investigations while stimulating their mathematical thinking and gathering information about their knowledge and strategies. 1. Starter questions.

  24. Math Message Boards FAQ & Community Help

    Small live classes for advanced math and language arts learners in grades 2-12 ... online school Class Schedule Recommendations Olympiad Courses Free Sessions/Math Jams Video Classes books tore . Middle/High School Elementary School Online Books ... Art of Problem Solving is an ACS WASC Accredited School. aops programs. AoPS Online ...