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Mathematics for HS Teachers

Mathematics for HS Teachers. An Advanced Perspective. What is meant by “an advanced perspective”?. Looks at interconnections among HS math topics and their relationship to college level mathematics.

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Mathematics for HS Teachers

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  1. Mathematics for HS Teachers An Advanced Perspective

  2. What is meant by “an advanced perspective”? • Looks at interconnections among HS math topics and their relationship to college level mathematics. • Includes a deeper analysis of problems and concepts drawn from HS math to reveal important new mathematical insights and understandings • Is mindful of the historical and conceptual evolution of mathematical theory and school mathematics

  3. Goal of “Advanced Perspective” • The goal of this advanced perspective is to encourage you to explore mathematical ideas in depth and to explain mathematical ideas with clarity and precision.

  4. Principal Features • Concept Analysis • Problem Analysis • Mathematical Connections

  5. Concept Analysis • “Concept analysis involves tracing the origins and applications of a concept, looking at the different ways in which it appears both within and outside of mathematics and examining the various representations and definitions used to describe it, and their consequences.” • Usiskin, p.1

  6. Problem Analysis • “Problem analysis involves more than finding different ways of solving a problem. It includes looking at a problem after it has been solved and examining what has been done.” • Will the method of solution work for other problems? • Can we extend the problem?

  7. The average test-grade problem Jane has an average of 87 after four tests. What score does she need on the fifth test in order to average 90 for all five tests? Solutions: Algebraic and Arithmetical

  8. Graph of the problem equation

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