Response to Tzanakis & Arcavi (2000)

    Initially, I believed that incorporating math history into teaching was important for two reasons: to humanize math as a subject and to highlight the value of curiosity, trial and error, and pattern recognition in mathematical discovery. Math is not just for the "left-brained" - those commonly perceived as logical and analytical. (In fact, can we truly categorize people as left- or right-brained?) Math is not dry or rigit but dynamic and ever-evolving. Introducing math history into teaching helps "humanize" the subject by revealing that it was not "discovered' in a perfect, complete state. Throughout history, people across cultures have been thinking, observing, hypothesizing, arguing, proving, and disproving what we now accept as common knowledge. They began by noticing patterns in the world around them and asking questions - many of which remain unanswered today. As a teacher, learning about math history with the intention of weaving these stories into my lessons, I aim to empower students with the idea that they, too, can be mathematicians - by being inquisitive, determined, diligent, and willing to take risks, just like those who contributed to the mathematical knowledge we have today.

    Tzanakis and Arcavi (2000) have added to my initial thoughts the emphasis on multicultural appreciation. The math textbooks and curriculum we have access to in North America are predominantly rooted in a Western perspective. However, different cultures have developed unique approaches to mathematical problems, bringing new insights. For example, while we often learn Western navigation methods, Indigenous cultures have developed their own methods that have been passed down through generations. Acknowledging these alternative approaches and appreciating the richness of mathematical knowledge from diverse cultures can inspire and engage students, letting them feel seen and valued in their own cultural identities.

    One specific example that stood out to me was the multiplication trick for 7 times 8, which reactivated my interest in different methods for enhancing fluency and making math more engaging. I was so intrigued by why the trick worked that I ended up diving into a full investigation, which ended up being fun and satisfying. This reminded me of how important it is to embody and find joy in math concepts. Offering alternative approaches - like tricks or patterns - can make math more accessible and engaging for students, particularly those who struggle with more traditional methods like rote memorization of multiplication tables. The more diverse approaches a teacher offers, the more students they can reach.

    Tzanakis and Arcavi's (2000) article has further inspired me to integrate math history into instruction, making the case for it even more compelling and inclusive. The insights and examples they provide are thought-provoking and valuable for future reference.