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Topics in Mathematics for Secondary and Middle School Teachers

409

Topics from Euclidean, non-Euclidean, and transformation geometry, and from history of mathematics are selected to give breadth to the mathematical background of secondary and middle school teachers.

Text: 

Prof. Roitman's notes

Prerequisite: 

MATH 122 or Math 126. Students enrolled in Math 409 must concurrently enroll in Math 410.

Credit Hours: 
3

TOPICS

  1. Constructions: Geometer's Sketchpad; straightedge and compass
  2. Euclidean geometry: the basics
  3. Contrasting spherical and plane geometry
  4. Basic transformational geometry
  5. Similarity
  6. Symmetries of polygons
  7. Tesselations 
  8. Friezes and their symmetries (optional)
  9. Platonic solids
  10. Euler's formula
  11. History and sociology of mathematics, a brief introduction

May not be counted as junior-senior credit towards a major in mathematics.


(Roitman 2016 )

Frequency: 
Every Spring Semester

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Using Math

Nicole Johnson found a way to express her baton twirling using math.  See video.