## Students as Creators – Not Curators – of Math

Most of my colleagues both on- and offline know me for being a math geek because I'm a math teacher and very passionate about improving how we teach the subject to our students. I'm definitely not the most educated, but rather just a guy who faked much of his K-12 education with the title "good in math." As I've mentioned in previous posts, I memorized much of the math (and other subjects) wit...

## Knowing Your Times Tables Is Great… Understanding Them Is Best!

Thanks to everyone who read and commented on a recent post that prompted discussion about memorizing multiplication tables and whether it hurt or helped students in math. Although I received some positive reaction, I also managed to become the most hated mathematics teacher in many minds. In this post, I'd like to extend the conversation here to possibly better articulate my concerns for m...

## Redefining Mathematics Education #ADE2014 Showcase

My Apple Distinguished Educator Global Institute 2014 "1-in-3" Presentation Thursday July 17th, 2014 in San Diego, California Last week, I had the incredible opportunity to present to my fellow Apple Distinguished Educators at the 20th Anniversary of the ADE Program. The ADE Showcase follows a familiar "1-in-3" format used at the 2013 Institute where showcase presenters speak about their "One...

## Connect Visual to Algebraic Representation of Pythagorean Theorem

Tapping It Up a Notch: Pythagorean Theorem - Part 3 In the first part, we used an inquiry/discovery approach to help students visualize how Pythagorean Theorem works, then followed that with a visualization of the general proof / derivation of the formula to show how we can find the hypotenuse of a right-angle triangle when given the lengths of the two legs. In this post, we will now ma...

## Visualizing the General Case of Pythagorean Theorem

Tapping It Up a Notch: Pythagorean Theorem - Part 2 In our last post, we used an inquiry/discovery approach to help students visualize how we can find the hypotenuse of a right-angle triangle when given the lengths of the two legs. In this post, we will now introduce the General Case for Pythagorean Theorem in an attempt to use the same visual model to derive the formula for Pythagorean...

## Pythagorean Theorem Visual Representation Through Inquiry

Tapping It Up a Notch: Pythagorean Theorem - Part 1 Over the past school year, I have been making attempts to create resources that allow students to better visualize math, build spatial reasoning skills and make connections to the algebraic representation. While some hardcore mathletes might balk at much of these attempts as not being real mathematical proofs, my intention is to help stud...

## Tapping It Up A Notch: Pool Noodles

Math Task Redesign: Creating Visuals and Adding Context Problem: Finding the Perimeter and Area of Composite Figures With An Unknown In both the MFM1P Grade 9 Applied and MPM1D Grade 9 Academic Ontario math courses, students are required to find the perimeter and area of composite figures given dimensions involving an unknown value. A typical textbook problem looks like this: In my e...

## Tapping It Up A Notch: Spatial Reasoning and Visualizing Math

Math Task Redesign: Creating Visuals and Adding Context As some may know from recent posts, much of my focus has been in the area of making math more visual by adding context through real world problems and 3 Act Math Tasks. In some cases, it can be difficult to seek out good situations to snap a picture or record video and thus we are left with weak problems offered by textbooks. Inspire...

## Does Memorizing Multiplication Tables Hurt More Than Help?

Knowing Your Times Tables Is Nice. But Is It Necessary for Success? As you may have heard in the Globe and Mail or in my recent post, Ontario Education Minister, Liz Sandals recently tossed a comment into the media about the need for students to know their math facts: Thatâ€™s actually a great homework assignment: Learn your multiplication tables. Liz Sandals - Ontario Minister of Educa...

## Great Read – Mindset: The New Psychology of Success

Professional Reading Review Over the past year, I had heard quite a bit of "buzz" about Carol Dweck's research on Mindset and how it can affect student learning and achievement. A few months ago, I was at a Ministry of Education SIM Session in London, Ontario and we watched a taped presentation from Carol Dweck that really caught my attention. Prior to watching this video, I had never given m...