September 14th Reading

 Math history should be incorporated into teaching as it builds conceptual knowledge in a way that can't be replicated by shortcuts. If a student somehow memorizes every single addition problem, they still won't be able to apply this knowledge to understand the concept of multiplication. Understanding how people in the past came to understand mathematical concepts recreates the feeling of discovery and really embeds the knowledge into your head compared to just taking shortcuts. Math history can be applied in classrooms by recreating the steps and thought process used in the past to discover the math facts in the first place. 

The article mentions using worksheets to facilitate this type of learning and integrating math history into the lesson, but I always believed worksheets are not very effective for retaining information, as I always found worksheets to be boring and ineffective. I think that, to facilitate a feeling of discovery, an activity would definitely offer a better alternative to worksheets. 

The article also mentions direct historical information, but I believe using names, dates, and events to reference history rather than focusing on math material doesn't prove to be very effective for students, especially in math class. Knowing when or where Pythagoras discovered the relation between the edges of a right triangle doesn't help me understand the concept any better, or how he came to that conclusion any better. 

Having read this article, it helped me ponder how I can apply math history effectively in my classrooms, but it's hard to come up with ideas that will both be effective for me and the students. Thinking about applying math history forces me to shift my perspective from that of a student to that of a teacher.

Comments

  1. I was interested in your distinction between learning when Pythagoras lived and understanding how a mathematical idea developed. This connects closely to the article’s argument that history can be most useful when it reveals the questions and thinking that led to mathematical ideas, rather than simply adding historical facts.

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