Malleable multiplication: the use of multiplication strategies and gamification to create conceptual understanding

Abstract

I have always considered math to be both my friend and foe. The parts of math I enjoy are algebra, trigonometry, and multiplication. I could find solace in math that was formulaic and had clear instructions. At times these concepts may be abstract, but there was always a formula to consult. However, for every unit I found comfort in, there were always more that distressed me. As much as math would stress me out and make me feel inadequate, I was always trying methods to make it more enjoyable. I tried the placebo effect (which was not successful because I knew it was a trick), positive affirmations, and bringing aesthetically pleasing math accessories to class (i.e., pens, notebooks, etc.). Unfortunately, during my elementary and high school years, I couldn't find a method that made learning math an experience I would enjoy. The moment everything clicked, and I found a method I could utilize came to me during the second year of my Bachelor of Education degree. My teaching mathematics professor tasked my class to invent or bring in a math game that would help students understand a mathematical concept. I was interested in the project and had fun researching and presenting my game. I was amazed by all the games my peers brought to class. Every game was fun and helped instil concepts. I had never even considered gamification as a method that could solve my stress and anxiety concerning math. I honestly didn’t even know it was possible to teach such a wide array of mathematical subject matter using games as an aid. That game project sparked my interest in math and how the subject matter can be made more accessible and fun for every student. After that, I started researching, reading books about math education, and listening to podcasts. I got excited by this world where math could be fun and inclusive instead of an anxiety-ridden subject. That one project has shaped the course of my Master of Education program and inspired me to create a math game. I would never have predicted that I would be focused on mathematics at any part of my academic journey. For me, math has transformed from a scary subject to something challenging but conquerable. I want every student to feel like they have the potential to understand math and have fun with the subject. My fun with math may have happened outside the confines of elementary and secondary school, but it still happened and has changed a lot of my misgivings concerning the subject. [...]