- 10 color A4 poster size puzzles
- 1 PowerPoint with ALL the Puzzles
- Two 1/2 sized color versions of each puzzle for small group work
- Two 1/2 sized line versions of each puzzle
GET A GOOD LOOK AT ALL THE PUZZLES IN THIS DOWNLOAD
– Go to the bottom of this page.
– Where it says, ‘Get these Puzzles’ click on the word ‘sample’ and you’ll see them all. Nice aren’t they? 🙂
Reasons for Puzzles:
Teaching problem-solving skills is more than something that’s just for the moment, just for the classroom. This kind of abstract thinking is so much more!
As a teacher, I’ve been collecting problem-solving activities since the earliest days of my teaching career. They were scribbled down in old notebooks and on bits of scrap paper, tucked away to help future students. Why?
- Abstract problem solving
- Real-world problem solving
- Future thinking
This download is a collection of public domain puzzles I have found that works really well with students. I have presented the puzzles so they are colorful, bright, easily interpreted, child-friendly, printable, and ready for classroom use.
Throughout history, mathematicians have dedicated their lives to solving problems. They have spent countless hours alone in quiet reflection exploring solutions and assembling groups of like-minded people to answer their questions.
These meetings of the minds included those members of the group going through this incredibly rich and complex process in which they share, discuss, argue, prove, disprove, refine, fight, hypothesize, expand, learn new things, consider new possibilities, draw correlations, encourage different ways of looking at a problem, refine ideas, support, inspire, offer encouragement, draw diagrams, discard diagrams that don’t give a solution, justify, test, hypothesize, critique, joke, help each other through the tough times, commiserate failed attempts and celebrate successes. And they NEVER, EVER, EVER turned to the answers at the back of the book 🙂 What’s the best part? It can all happen with your students too!
Why No Answer Sheet?
When it comes to Math teaching there’s something to be said for idealism.
Math is a vast field of human endeavor filled with problems to be solved and patterns to find. These activities are designed to have students work mathematically. Real Math is not a collection of exercises on a page where all the information needed is in the question and the numbers only need to be ‘massaged’ until your answer is the same as the one in the back of the book. These puzzles are ‘hard fun’. They are designed to promote engagement with problem-solving and authentic discussion around finding the best solution.
My other reason for not including the answers is so as to not deprive students of the ‘A-ha’ moment. That feeling of working on something, persevering, getting frustrated, wanting to make the puzzle fly, walking away, coming back with fresh eyes, and eventually… the sense of satisfaction when you get when you solve it. It is the moment of insight where, for the briefest of time, all the pieces fall into place and you realize you’ve got it. Some call it the Eureka Moment. The reward is in the discovery, and discovery is more likely to happen if you are not tempted to turn to the answers at the back of the book.
Thirdly, despite popular misconceptions, teachers are not the fountain of all knowledge. I have always had no problem admitting I don’t know the answer but have all the skills to work it out. It is important to demonstrate this.
So when a student comes and pleads with you to give them the answer just say, ‘Who am I to deprive you of the Ah-ha Moment?’ hehehe
Over the years I have tried many ways to introduce problems and this process works very well. Feel free to try it out.
Stage 1 – Introduce the Problem
Choose a puzzle from the set, project the electronic version onto a large screen and explain the basic parameters of the problem. Encourage students to
clarify the parts of the task they are unsure of then set them free to find a solution
Stage 2 – Work Like a Mathematician – (Think – Pair – Square)
The students spend 10 to 15 minutes working quietly on their own seeking to find a solution to the puzzle. You will need to gauge the mood of the group as to how long the students work this way. You may find the natives get a little restless. (Think)
Next, the students join with a partner to share and discuss their findings. (Pair)
Students then form groups of four to share and discuss their findings. (Square)
Stage 3 – Share Findings with the Mathematics Community
Turn the electronic version of the puzzle back on and have students from each group elect a member of their group to share and explain their findings. Seize and discuss any teachable moments as they arise.
Stage 4 – Put it Out There
In the world of Mathematics, once an answer is discovered, a group of experts check the answer for accuracy and publish it for all mathematicians and interested people to see.
Mathematicians all over the world can then check the theory and proof to make sure everything ‘adds up’. They can learn from the workings, study the methods used, think about the findings and work out ways to improve upon the answer. Some mathematicians even use the new discovery in a way to advance their own work.
Create a wall display, partner with other teachers, seek opportunities to put it on the web. Find creative ways to publish your findings!