Feb 22, 2024  
2020-2021 Undergraduate Catalog 
2020-2021 Undergraduate Catalog [ARCHIVED CATALOG]

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MATH 456 - Geometry for Teachers

This course includes an exploration of plane, coordinate, and transformational geometry. Students will develop an understanding of mathematical structure, method, and application while exploring topics such as axiomatic systems, constructions, and transformations. Course will be offered every year (Spring).

Prerequisites: MATH 130 and MATH 154.

Credits: (4)

Learner Outcomes:
Upon successful completion of this course, the student will be able to:

  • Demonstrate an understanding of the axiomatic structure of geometry, including definitions, axioms and theorems and will reason using the language and structure of geometry, both orally and in writing.
  • Make conjectures based on inductive reasoning and justify and prove those conjectures using deductive reasoning based on the axiomatic structure of Euclidean geometry.
  • Establish congruence and similarity criteria and use them to prove congruence and similarity of polygonal figures.  Students will recognize and use proportional relationships within similar figures to solve problems.
  • Investigate the connections between the traditional approach to geometry and a modern approach using transformational geometry.  Students will perform reflection, rotation, translation and dilation in the plane using traditional construction tools as well as using analytic formulas requiring the use of coordinate geometry and matrix and vector operations.
  • Use appropriate dynamical geometry software to investigate and represent concepts, methods and application of geometry.
  • Use principles of mathematical thinking and problem solving to explore, solve, generalize and prove mathematical problems.

Learner Outcomes Approval Date:

Anticipated Course Offering Terms and Locations:

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