## The Progression of Proportional Reasoning From K-9

The Foundation and Development of Multiplicative Thinking Proportional Reasoning is a big idea that is connected in some way to all mathematical strands and stretches across many grades in the Ontario mathematics curriculum. While many focus on the importance of proportional reasoning for students in junior and intermediate grades, I believe that we can see the early development of proportional r...

## Talk Less, Listen More

Time flies, doesn't it? It is hard to believe that this is my first post of the 2016-17 School Year and it is the middle of October. After doing some travelling to present throughout the summer and spending the balance of my time with my family, the beginning of the school year came fast and furious and hasn't slowed down yet. There was definitely no "ease in" time for my new role as K-12 Math...

## [Updated Post] Does Memorizing Multiplication Tables Hurt More Than Help?

Post update: Saturday May 21st, 2016 This post was originally written two years ago and admittedly took an angle that downplayed the importance of automaticity of multiplication skills which was not the original intention. Please read on as I attempt to clarify the original intent of the article. Let's Promote Understanding to Build Automaticity Over Time As you may have heard in the Globe and...

## What Makes A 3 Act Math Task So Effective?

When delivering teacher workshops, I almost always include a 3 Act Math Task as a way to model the 4-part math lesson framework and for teachers to experience the power of introducing new concepts by leveraging curiosity. Although my workshops spend a significant amount of time exploring interesting lessons, teachers often want a formal description of what defines a 3 Act Math Task from any othe...

## Is There a Best Way to Learn Mathematics?

Which Is Best: Inquiry or Explicit Instruction? The ongoing debate over whether math concepts should be taught using a discovery approach versus explicit instruction has been going on for years. These "math wars" (see examples here and here) typically paint effective instruction in mathematics as an either/or situation between the two extremes. Some might interpret inquiry based instruction as ...

## Earning Versus Learning

Maximizing Your Return on Investment In recent months, I've been doing quite a bit of reading about investing in the stock market. I've always had an interest in finance and saving money, but I have never really had a deep understanding of how to be a successful investor beyond handing my money over to a financial advisor or picking random mutual funds. As I dug deeper into the investing world,...

## #MTBoS Blogging Initiative Week 1: One Good Thing

Man. Time FLIES! I feel like it was just yesterday when I made a commitment to myself to do a "Week In Review" series that summarized what I had been up to in the classroom each week. I had all the momentum on my side up until week 6, but then I was off to Norway for the NORCAN Project for over a week. Talk about falling off the wagon hard! Then, we hit the busy "before Christmas Break" stretc...

## Grade 9 EQAO Math Practice Links for @Knowledgehook Gameshow!

Convenient & FREE Practice Options For Your Students A few folks were interested in the Free EQAO Practice via Knowledgehook’s Gameshow tool, but felt they didn’t have the time to experiment with a new tool during “crunch time” in the semester. I know the feeling! Now, Knowledgehook has made it easy for students to practice any Gameshow independently without any setup, registration, or other h...

## Are Math Facts “THE” Urgent Student Learning Need?

Or, are they just a piece of a massive, more complex problem? This past Thursday for our MYCI Planning Meeting WSG Dan Meyer, there was quite a bit of discussion surrounding math facts as a student learning need. This is no surprise, as I think we can all agree that this is an area we would like to support our students in. The discussions at each table made it clear to me that we are all passio...

## Lecture Learning vs. Active Learning

Should we be done with the debate? This past week, I had an opportunity to hear Justin Reich (MIT Teaching Labs Researcher) speak for the second time and he referenced a white paper called: "Active learning increases student performance in science, engineering, and mathematics”. His interpretation of the paper was that the data indicated that "it is almost unethical to use lecturing in a contro...

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