### The Status Quo

Early math education is at a critical juncture in my home province of Ontario. While the government is spending 60 million to revamp early math education, results of EQAO tests reveal that half of Grade 6 children don’t meet the provincial standard.

These results are in contrast to the neighboring province of Quebec, which has higher math scores and employs a more traditional approach to math education. Math in Ontario schools seems to be floundering and the current curriculum is not addressing the underlying deficits.

### Back to basics?

A recent CBC article with the blunt title “Just fix the bloody math” calls for a back to basics approach to enhancing early math education in Ontario. The article suggests that instead of solely teaching trendy discovery math, we should include rote-learning styles such as memorizing times tables. As the author Robyn Urback says in the article: “By all means, continue teaching kids why and how three times five equals 15, but make sure they’ve got it memorized and can also do simple calculations in their heads.”

I agree, let’s fix the math.

But let’s face it: *times tables are boring. Endless arithmetic exercises are boring. Checking which prism has larger volume is boring.*

We are not going to engage new generations of students with this kind of instruction. We need a hybrid approach that makes math fun for students.

### What math is

Revamping early math education first requires a better understanding of what math is.

*Mathematics is the study of structure*. Structure is meant here in every imaginable form, from the symmetry in sunflowers, to the shape of space-time, and to the social dynamics of networks like Facebook. Although numbers play an important role in mathematics, the subject is far larger than arithmetic.

*Mathematics is not complete. *In a certain sense, it never will be complete. Every day mathematicians discover new mathematics and new problems and conjectures. We are only limited by our imagination as to what math can be, and mathematicians produce new math often only with pen and paper. Too often, however, math is taught in a way that makes it seems that all the answers are available so long as your calculator is powerful enough.

*Math is a language. * You learn this it after years of experience just like our spoken languages. Mathematicians are more fluent than others are, but everyone should ideally know basic conversational math. For example, every adult should be able to chat about prime numbers, infinity, and elementary probability.

### Hybrid with enrichment

In early math education, I suggest a *hybrid approach with enrichment. *Please let me explain.

When learning any language, you need to become familiar with the basics: the alphabet, vocabulary, and basic grammar. The same is true with math. That’s why it’s important to know arithmetic and a limited amount of rote learning and memorization, including times tables and the like.

While we shouldn’t stop at teaching the rote stuff we need to immerse children in math like we do in French instruction in Ontario. To get students speaking math, we need to *engage them *so they are excited to learn. This is where the *fun* begins to creep into instruction. Let’s teach the math of the Rubik’s cube and Sudoku. Let’s show students how networks can help visualize the ten thousand characters in the Marvel comic universe. Let’s read and work through innovative math books for kids like JUMP math, Really Big Numbers, or The Boy Who Loved Math.

When I spoke to Eugenia Cheng on this blog, she made an important point:* let’s bring mathematicians into the classroom*. I’m not sure research mathematicians discovering new math are ever consulted meaningfully about early childhood education. You’d be surprised how many ideas they might have on making the subject fun and fascinating.

For example, my own lesson plan for a Grade 6 math class would be a game called Cops and Robbers. On the surface, it’s a simple game you can play with paper, pens, and some coins. The idea of the game is to move the coins around in a prescribed way so that one player is trying to capture the other. While the topic is usually taught as advanced math in universities, the game is visual, engaging, and easy to explain to kids. The game is a gateway topic to network science and leads to open questions and new mathematics. Trust me, I’ve written two books and many papers on the topic!

Teachers and mathematicians: reach out to each other and collaborate to enhance kid’s math education. As a team, we can make a real difference.

With our obsession to test everyone on everything and place people’s abilities within the confines of well-defined boxes, let’s not ignore the innate curiosity of children. Making math fun again is not about making it easier or skipping the important stuff. It’s about winning over a new generation with the wonder of the infinite language of mathematics.

Anthony Bonato

Anthony, I agree that we have to find a middle road between discovery and rote. Another big factor is getting teachers who are comfortable with mathematics, better yet, who love math, to teach mathematics. I have attended a class in math education and watched students, who will be teaching our kids math in the future, struggle with addition of simple fractions. That worries me for my own kids and for my future students.

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A couple of points. 1 The fundamentals have largely been removed from Ontario elem math ed for about 15 years. Weary parents, who have had to compensate, expect that they be fully re-instated; this might help end the 2 tier system of education that has developed.

2. In the case of younger teachers,who may struggle with fractions or other topics, it would be wise to remember that they are graduates of the weak elementary math curriculum currently in place. The alarm has been sounded for years; frankly, I would suggest that these younger teachers are owed an apology and compensation.

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[…] much for winning the Abel prize but also for his act of selflessness. I’ve said before that students would benefit significantly from enrichment in mathematical education, and supporting such a cause will improve numeracy and lift up a generation of budding […]

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