Assignment 3 Reflection

This presentation was an absolute delight for me. Jacob and I thoroughly enjoyed collaborating and exploring the fascinating world of Chinese and Japanese abaci—ancient mathematical tools with rich histories and diverse applications. While counting devices like these have appeared in cultures worldwide, the suan-pan and soroban uniquely reflect the cultural lenses of their origins, enriching mathematics with their distinctive insights and making this knowledge both accessible and thought-provoking.

The abacus itself offers a multi-sensory approach to mathematics, engaging sight, touch, and sound. Watching the movement of the beads, feeling their shifts, and hearing their clicks provide a holistic, embodied experience of number sense. As we highlighted in our presentation, sustained training with an abacus significantly enhances mental math skills, improving fluency and making advanced mathematical concepts more approachable. Interestingly, this reminds me of a moment from years ago when I watched an international "Super Brain" competition. A Japanese contestant became famous for her extraordinary mental math skills. In one clip (from 0:36-0:44, though unfortunately without English subtitles), she recalculates a lengthy multiplication problem using what I now recognize as a mental abacus. Her quick, fluid hand motions left a lasting impression on me, and understanding the method behind her "trick" was a revelation.

The abacus’s history also reflects different cultures' approaches to representing numbers, the significance assigned to specific values (such as fractions), and the accessibility of mathematical knowledge in its time. More than just a tool for mathematicians, abaci were essential for everyday life, empowering users to tackle complex calculations and focus on broader, conceptual ideas. It’s fascinating to consider how this humble tool laid the foundation for modern calculators, demonstrating the lasting importance of accessible mathematical instruments.

During my research, I became particularly intrigued by different numerical representations, both visual and auditory. Diverse visual systems, such as Braille or Morse code, grant people unique access to numbers in various contexts. Our art piece, "The Abacus Enigma," builds on this idea. It reimagines number representation through a binary lens: on/off, black/white. The puzzle follows abacus rules, where the four "earth" beads must be used sequentially and from top to bottom. This simple yet elegant design offers a fascinating and beautiful way to represent numbers.

Auditory representations also resonated with me deeply. Tools like Desmos’s "hear graph" feature transform graphs into sound, helping to internalize concepts like rate of change, highs and lows, and frequency. Similarly, the film shown in class, "New Math Teachers Riff on Kandinsky in Binary", creatively paired concentric circles with accompanying sounds. These representations were not only intriguing but also inspiring in their accessibility and inclusivity.

Overall, this project was an incredibly enriching experience. I learned so much and left feeling deeply inspired.