Spring 2022 - EDUC 212 D100

Mathematical Experience II: Shape and Space (3)

Class Number: 7235

Delivery Method: In Person


  • Course Times + Location:

    Tu 2:30 PM – 5:20 PM
    WMC 3253, Burnaby

  • Prerequisites:

    Students who have credit for MATH 150, MATH 151, MATH 154, MATH 157 need permission of the instructor to participate in EDUC 211 and EDUC 212.



Utility and aesthetics of mathematical experience is presented through the exploration of selected topics. Quantitative/Breadth-Science.


This course is intended for Liberal Arts students in general and provides opportunities for students to explore a variety of mathematical topics in order to increase their mathematical literacy and capabilities for quantitative reasoning and deductive argumentation in particular. The main focus is on the aesthetics of mathematics and utility of mathematical experience; highlighting the human experience in learning and doing mathematics. Though the course content comes from mathematics, the approach is a pedagogical one, which draws on the knowledge and practices from education rather than applying the lecture/tutorial format most commonly seen in undergraduate mathematics courses. Students will engage in problem solving, investigate conjectures, and develop connections among mathematical topics.

The instructional activities are designed to emphasize students learning through explorations instead of teaching a specific mathematical content, thus the mathematical content chosen for this course is flexible and in other settings may be considered as "enrichment". However, in-depth exploration of these topics provides an engaging opportunity to revisit and strengthen more basic concepts that lie at the heart of geometry. Topics include:

  • Pythagorean Theorem
  • Symmetry and patterns
  • Transformations and Tiling
  • The Golden Ratio
  • Platonic Solids and Euler's Formula
  • Fractals
  • Art gallery problem
  • Taxicab geometry

Note 1: You will be introduced to a new technological tool - The Geometer’s Sketchpad (GSP), which requires open-mindedness and adaptability in learning it. Some of the course content will be delivered and assessed through it. As with any software, there will be a learning curve. You will receive help during the class time and office hours, but as is the nature of learning any software, practice and self-directed learning is involved.

Note 2: EDUC 212 is one of Quantitative and Breadth Science Courses for Arts students. Students taking this course for Q-credit need to achieve a minimum of C-.


Upon completion of the course, it is hoped that students will develop an awareness of the role and function of geometry in describing, explaining and predicting various phenomena in the world. Students will learn to pose and solve geometric problems that relate to the physical world, but also those that concern a more theoretical world of mathematics. Students will also gain an appreciation for geometric ideas that may challenge the traditional views of the world and help them to develop new ways of thinking about Geometry.


  • Active Participation 5%
  • Weekly Homework or Discussion 25%
  • Assignment 45%
  • Collaborative Project 25%


There is no midterm or final exam for this course. Grading breakdown is subject to change. More information will be provided in the first lesson.


Regular and punctual attendance and active participation in class activities (including group work and whole class discussion) is expected and mandatory.



You will need access to a dynamic geometry software programme - The Geometer Sketchpad. Please bring your personal computer to class.


Burger, E. B., & Starbird, M. (2013). The Heart of Mathematics – Fourth Edition. Wiley.

Also accessible as an eBook.

ISBN: 9781118156599

Registrar Notes:


SFU’s Academic Integrity web site 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


Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.