Albert Durer. Melancolia
Integrating History of
Mathematics in the Classroom
Before
reading the chapter, I had already thought about introducing history in Math
class to give context to the concept that needs to be learned. I am a member of
3blue1brown.com, a website that illustrates math and shares snippets of history
about essential math concepts and problems. I realized that knowing about the original
question that motivated past generations to think, research and develop math concepts
and notations, increased my curiosity about exploring the different approaches
and perspectives of those concepts, and increased my patience to try to
understand them.
Here are the things that made me stop, highlight and
think:
·
Learning about math
history shows us that failing is part of the math learning process and helps us
to understand why some abstract concepts took time to be discovered, and consequently,
could be difficult for us and for our students to understand in the first
place.
·
Math history is full
of collaborative efforts and passion, which brings balance to the curriculum of
practical knowledge, and introduces the explanation of the need for proof,
rigour and evidence.
·
I was delighted when I
found an example about the origins of the “quaternion concept” because I’ve
been using this frequently in my career in visual effects for film and television.
I used it to create organic rotations and procedural modelling with different computer
graphics software, and I remember my need to revisit the concept explanation,
looking for videos that helped me to understand such a beautiful tool, but I never
looked for the origins of the concept.
Now I am more than convinced
and motivated to integrate the math history as much as possible, regardless of
the time it takes to achieve it.

I really liked how you connected your own experiences with math history to your professional work in visual effects—your example with quaternions made your reflection stand out and showed a unique perspective. You also did an excellent job highlighting how failure, collaboration, and passion are key parts of math history.
ReplyDeleteSuggestion: To make your reflection even stronger, you might add one concrete idea for how you would bring these insights into a specific lesson—for example, how you would share the story of quaternions or another historical anecdote with your students.