Saturday, March 4, 2017

Review: Some Applications of Geometric Thinking

Some Applications of Geometric Thinking Some Applications of Geometric Thinking by Bowen Kerins
My rating: 2 of 5 stars

...brevity is consistent through the first collection of problem sets. Naturally, this still works as a source for lecture content and assignments. Chapter 2 is much more complete in pedagogical suggestion. This chapter is the Facilitator Guide, clearly stating goals and directing approaches to the problem sets of Chapter 1. It is not clear why the chapters are ordered in this fashion. Exercise 5.6 is here explained as designed to have complex plane analogies to triangles placed in the coordinate plane in Problem Set 2. Combing through the Facilitator Guide first is the key to ascertaining the value and even intent of this resource. Many geometric concepts configured for pre-college presentation target gaps in understanding I routinely see in first-year college students, such as knowledge of the complex plane, modeling area or perimeter problems with conic sections, and a motivation for least-squares approaches...

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