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  • Karl Hirschmann

    June 23, 2022 at 12:39 pm

    in the upcoming school year, I will utilize problems that incorporate real objects like donuts or energy drinks. [Aside: has anyone else noticed that their students engage more completely if the problem is about food?] Then I will move toward visual representations such as the use of manipulatives or sketches. I will introduce my students to abstract representation only after they have looked at a problem concretely and visually. The concreteness fading model makes a lot of sense to me if only because many of my students have an issue with abstraction. Unfortunately, traditional ways of teaching math assume that all students are ready to think abstractly. My goal in the upcoming school year is to make the math real and the concreteness fading model will help me do that.