Category: volume

Experiencing Scale in Higher Dimensions

A colleague and I have often bemoaned our attempts to teach the concept of scale factor in higher dimensions. A topic that has such beautiful and elegant patterns and symmetries between the scale factors consistently seems to sail directly past the experience of our students. I have tried enacting several tasks with the students including …

Solid Fusing Task

The progression followed by most teachers and resources during the study of surface area and volume is identical. Like a intravenous drip, concepts are released gradually to the patients so as to not overdose them with complexity. Begin with the calculation of 2-dimensional areas, and then proceed to the calculation of surface area of familiar …

Stations in High School Math

One of the coolest experiences in my university training was the opportunity to invite a kindergarten class into our mathematics methods class for a mathematical field trip. Our class was divided into groups of three or four and were given the task of designing a mathematical activity that the students would try. The afternoon was …

Project Work Scaffold

There are two schools of thought when it comes to PBL: Start with a large-scale project and fit the specific outcomes within it, or Build toward a larger project with smaller tasks. I love the idea of large projects, but also aim to make my work as accessible as possible for those who want to take it …

Soft Drink Project Part 4: The Math

This is the fourth in a series of posts detailing a student-posed math project. To get the full picture, please read the previous posts beginning with: Soft Drink Project Part 1: The Framework This post is designed to dampen the fear of math teachers. I know, because I was very afraid that the project had …

Soft Drink Project Part 3: The Design

This post is the third in a series of posts detailing the happenings of a math project. To better understand the whole story, please start reading at the beginning: Soft Drink Project Part 1: The Framework The next few classes after the brainstorming class were a blur. Students would come into class, grab their previous …

Soft Drink Project Part 2: The Brainstorm

This post will make a lot more sense if you read the framework for the project in “Soft Drink Project Part 1: The Framework“. I left the classroom energized; I could not remember a time that I was more pleased with a lesson that I had taught. In fact, I wouldn’t even call it teaching. …

Soft Drink Project Part 1: The Framework

This post is the first in a series describing a set of classes in my Grade 11 Workplace and Apprenticeship class. I have designed the course around the ideals of Project-Based Learning (PBL); students encounter a series of tasks, problems, and prompts that necessitate three crucial qualities: Collaboration, Critical Thinking, and  Communication. Each unit leaves …