## Visualizing the Volume of a Rectangular Prism Formula

Visually Understanding Area of a Rectangle and Volume of a Rectangular Prism Yesterday, I showed the "Where Does the Volume of a Cylinder Formula Come From?" video in class and students seemed to be able to tie some of the visuals to the work they completed in class. It inspired me to try another one, this time with the volume of a rectangular prism. Here's the result of my latest exper...

## Where Does The Volume of a Cylinder Formula Come From?

Visually Understanding Area of a Circle and Volume of a Cylinder Over the past year, I have been on a mission to try and make some of the formulas we use in the intermediate math courses in Ontario (Middle School for our friends in the U.S.). I think it can be difficult for math teachers to explain where formulas come from because we often think of deriving formulas algebraically. Unfortu...

## The Best Free LMS for iPad Classrooms

Is there a "best" FREE learning management system for iPad classrooms? August is typically the month when I begin looking ahead to another school year that begins in September for Ontario students. Classroom procedures, assessment practices, reorganizing the order of curriculum and implementing new technology tools are common items on my brainstorming list. With Google Classroom being launche...

## Ineffective Uses of Technology: Using Tech “Just Because”

While in Austin, Texas for iPadpalooza, Tim Yenca (@mryenca) was kind enough to give me a lift to dinner with a group of presenters. After finding a spot in a parking lot, I was excited to see how forward thinking this lot owner was with their payment system. Although more and more mobile businesses such as food trucks and open-air yoga instructors are receiving payments on their smartphones...

## 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...