Summer 2023 - MATH 604 G001

Geometry (4)

Class Number: 2264

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 8 – Aug 4, 2023: Tue, 4:30–8:20 p.m.
    Burnaby

  • Prerequisites:

    Entrance into the MSc in mathematics education program or permission of the department. Graduate students in the Department of Mathematics cannot take this course to satisfy their degree requirements.

Description

CALENDAR DESCRIPTION:

Euclidean and non-Euclidean geometries. Klein's erlangen program.

COURSE DETAILS:

The aim of the course is to look at various aspects of the content and development of geometry, through a mix of mathematical explorations and broader historical and cultural investigations. In addition to Euclidean and non-Euclidean geometry, and to the theory of geometric transformations, topics will include: the cultural origins of geometry; ethnogeometries; the introduction of algebraic tools into geometry; conics; coordinate systems. Students will develop the mathematical background necessary to teach secondary school geometry. They will also develop strategies for integrating geometry into the teaching and learning of other mathematical topics at the secondary level.

Grading

  • Problem Portfolio 40%
  • Historical/Cultural Investigation 40%
  • Presentation of Reading 10%
  • Participation 10%

Materials

MATERIALS + SUPPLIES:

The Geometer’s Sketchpad, version 5

RECOMMENDED READING:

Sinclair, N., Pimm, D., & Skelin, M. (2012). Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12. Essential Understanding Series. Reston, VA: NCTM. ISBN# 0873536924

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Graduate Studies Notes:

Important dates and deadlines for graduate students are found here: http://www.sfu.ca/dean-gradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the semester are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.