The quote that stood out to me the most is “The mathematicians also emphasize that letters and symbols signify specific meanings in some cases but, as variables, change their meanings in other. Being able to read these symbols embedded in both English prose and algebraic equations were considered to be crucial."
This stood out to me the most because I am a math teacher. I see this everyday in my classes. If I don’t explain the math terms to my students they would have no idea what I was talking about. For example when multiplying exponents, you keep the base and add the exponents. If they didn’t know what exponent means they would have no idea where to begin
I also found it very interesting how they mention that mathematicians make a clear distinction between the informal or introductory material and the formal structure of definitions proofs and expiations. The concern that was mentioned is that students would not be able to make the distinction of what is being asked of them. I work with a couple of different textbooks and some go in more depth than others. The textbooks that clearly label what they are doing are a lot more understandable.
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