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Supporting Creativity, Inclusiveness and Positivity in the Primary Mathematics Classroom

Teaching mathematics is like the tardis. On the outside it looks like a neat package but when you open it up there is a whole new wonderful world to discover.

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Wendy Liddell: Tirimoana School

Tena Koutou katoa

Ko Kumeu ahau e noho ana

Ko Te Kura o Tirimoana

e mahi ana

Ko Wendy ahau

So very lovely to be here

and share some of my

gems with you.

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A Great Maths Lesson ……….. (just my thoughts)

An enthusiastic and positive teacher

Rich Learning opportunities and accessibility for all.

Relevant games and visual resources

Hands on approach and great problem solving

Opportunity for questioning and investigating

Opportunity to make mistakes and feel good about it.

Opportunity to wonder, laugh and explore

Real Life applications

Self Reflection (teacher)

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Our Students are Unique and Diverse

Our students come to school with different life experiences

and different degrees of number knowledge.

Children are aware of the knowledge and capabilities of their peers and will often label the child who is good at maths as the one who can answer all the number questions correctly. The assumptions about maths capability and attitude to maths will often start at Year 1. Mathematics is much more than timetables and basic facts although these are undeniably extremely important and vital tools to have in the kete. (I teach them explicitly)

With a programme that includes opportunity for logical reasoning, numberless problems, puzzles and games all students can be active participants.

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Mathematics is a Language:

Mathematics isn’t just about numbers – rather, it’s a language. The numbers are only part of the tool set we use to communicate absolute ideas of our world. Like learning vocabulary words of our verbal language, only learning how to spell and define words without learning how to creatively use them in communication does not enhance our ability to fully comprehend their potential power, nor our ability to share ideas with others.

Puzzles allow students to combine their hands and minds to explore the challenges. There are no F’s for failure or A’s for success; only more opportunities to try new strategies towards solving the puzzle. Students engaging in puzzles can explore for themselves about what information matters, how to break the solution down into smaller steps, and how to reason in favor of certain strategies over others. These skills are mathematical skills.

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Which Candy is the Heaviest ?

What steps will you use to solve this

problem?

What do you already know?

What do you not know?

https://www.grabarchukpuzzles.com/

Ukrainian family (Grabachuks)

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Identical Poles Odd One Out

What strategy would you use?

What are your first thoughts?

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Identical Blobs How Many Squares?

Students could create their own and challenge each other.

What is the best way to approach this problem?

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Visible Area Surface Area

I would have the students make these models.

This could work well by modelling with counters.

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Tents Puzzles

I have used these puzzles from Year 3 to year 6. Great!

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Dice, Dice Dice

Dice are a fabulous tool to use in Digital Dice

the classroom. They are versatile

give you the opportunity to scaffold

and present many opportunities

to create games and challenges.

The students can also create their own

dice games and share them

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Four Star Game

An engaging game for two players.

Each payer takes turns to place

one counter on the board until

each player has four.

Then take turns to move the counters around the

lines of the stars until one player has four

in a row.

Rules and Game Board

My students repeatedly ask for this game.

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Traffic Lights:

Traffic Lights What you need:

1. Two players

2. An 3 x 3 empty grid

3. 6 red counters

4. 6 yellow or orange counters

5. 6 green counters

3. The rules

Traffic Light Rules

My students cannot get enough of this game

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Traffic Lights:

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Number Fill Ins

Number Fill Ins

The students thoroughly enjoy these and

they come in several different levels. The site

above has PDF options.

These puzzles offer a great opportunity for discussion

and logical reasoning.

https://www.math-salamanders.com/

This really is a very good website.

Simple and approachable.

These are fun are enjoyed by all students. A great partner activity.

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Two Colour Game

What You Need

13 Counters each (different Colours)

Game Board

Rules

Two Colour Game

Intriguing and engaging and promotes loads of decision about strategies.

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Two Colour Game

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Eight Queens

Eight Queens

Place eight counters on the board

where no counter is in the same row,

column or diagonal as another counter.

This puzzle really appeals to some students and they won't give up until the puzzle is solved.

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The Game of Queah: A Game from Liberia

Queah Game Board

  • No more than four tokens per player on the board at any one time. (Eight are available)
  • Tokens can move to an empty space that shares a side with the square they currently occupy.
  • Tokens can jump and capture their opponent's token. You must jump if the opportunity presents itself or be taken off the board.
  • After capture a player can use one of their reserve tokens and places it on the board at his next turn.
  • When a player has fewer than four tokens, they must play with what they have left.
  • The first player to capture all their opponents counters is the winner.

Another game of logic and skill.So easy to prepare and engaging for students.

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Skyscraper Puzzles

These are great puzzles, simple to print off and cater for

several different levels. All you need are connecting blocks

and the templates. I have collated the 4 x 4 beginner

templates below for you. The site is at the

bottom of the page and well worth exploring

Skyscraper puzzles Level 1

Thinking mathematically

Here you will find the puzzles at a higher level

and much more…….

I always get the children to make the towers first and use the same colour for each number of towers.

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So what is going on here?

There was much excitement and animated conversation when I shared this with my Year 5 classes.

They tested it out!!

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A French Perspective

These puzzles come

from a French puzzle site.

The ones in the link below I have

tried with years 2 to 6

with success. The students

loved them.

French Puzzles

The puzzle below is very engaging. Lots of discussion

There are similar puzzles to this provided on a link on the next slide.

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Star Battle: Julia Robinson Math Festival

Star Battle Guide and Puzzle Boards

These are one of my great favourites.

quick to print out and suitable for all levels

as there are 26 puzzles.The students

love them and once again give an

opportunity for all students to participate.

https://jrmf.org/puzzle/

The web site bottom left is the link to the entire math festival. Amazing!!

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Other Useful Resources and Links

Chrome Music Lab https://solveme.edc.org/

A site where students can experiment with This is a great site where students can go

Making their own musical patterns through and solve algebraic problems at

Board Games from around the world their own pace.

A great collection of printable board

games.

The Ultimate Collection of Brain Teasers To Keep You Thinking All Day

This is really fun. Excellent for those extra minutes. Each brain teaser comes

with a great visual. Well worth a look.

https://mathforlove.com/websites-we-like/ https://www.mathslink.org/mathematic

Probably the best selection of websites Math for Love.

and interactive teaching tools that I have

come across.

wendy.liddell@tirimoana.school.nz Please feel free to email me if you have any questions.

Enjoy