I really like how the uses are broken down and defined for me. It allows me to simply move on to thinking about how I could help students make connections to subtraction concepts. The modeling and illustration in the book points to how a teacher would want to model these concepts for students so, as a teacher, I would set up manipulatives at stations for students to explore each of these uses and get practice writing down the equation or equations that would go with their particular problem/solution. I would then move on to having the students, as the book suggests, come up with their own subtraction-based story problem and solution.

After that, as a means of reinforcing the concepts, I would try to implement some sort of project-based learning math activity, the level of involvement being appropriate to the developmental level of the students. I mainly go off on this tangent because, from what I know, project-based learning (also known as inquiry-based learning) is a way of learning that give students ownership over their learning. I found a few websites that are helpful for getting my brain around the concept of project-based learning in general, and project-based learning for math specifically. Here are the links.

I know that all kind of branches off into the realm of what would be learned in a method class so, for discussion purposes, I am wondering what kinds of practical uses for subtraction would students find meaningful and interesting? In other words, why might an elementary student want to take a subset away from a set, or separate a set into two disjointed sets, or compare two sets, or take away part of a length, or separate an area into two parts, or compare two lengths?

Also, I found this video interesting. It presents a philosophy and a few ideas on how to make math relevant for elementary students. One of its main ideas focuses on how elementary students are not ready to connect math with "real-life" scenarios as an adult would define "real-life" scenarios. How does that idea fit with the above question?

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