FYMSiC Teaching & Learning Resources

If you wish to add a Teaching & Learning Resource to the FYMSiC Website, please email a.burazin@utoronto.ca.


High School Math Curriculum in Canadian Provinces & Territories


Alberta: https://www.learnalberta.ca/content/mychildslearning/highschool_math.html

British Columbia: https://curriculum.gov.bc.ca/curriculum/mathematics

Manitoba: https://www.edu.gov.mb.ca/k12/cur/math/framework_9-12/index.html

New Brunswick: https://www2.gnb.ca/content/gnb/en/departments/education/k12/content/anglophone_sector/curriculum_anglophone.html#3

Newfoundland & Labrador: https://www.gov.nl.ca/education/k12/curriculum/guides/mathematics/

Nova Scotia: https://curriculum.novascotia.ca/english-programs/mathematics/high-school

Ontario: http://www.edu.gov.on.ca/eng/curriculum/secondary/math.html

Prince Edward Island: https://www.princeedwardisland.ca/en/information/education-and-lifelong-learning/mathematics-curriculum

Quebec: http://www.education.gouv.qc.ca/en/teachers/quebec-education-program/secondary/

Saskatchewan: https://www.edonline.sk.ca/webapps/moe-curriculum-BB5f208b6da4613/


Northwest Territories: https://www.ece.gov.nt.ca/en/services/jk-12-school-curriculum/mathematics

Nunavut: https://www.gov.nu.ca/education/information/curriculum-learning-resources-0

Yukon: https://yukon.ca/en/school-curriculum


CEGEP: Collège d’enseignement général et professionnel

Les CEGEPs de Quebec:


Presenters at our Meet Up:

Julie Plante (Vanier College): CEGEP Presentation for Math Universities [Presentation Slides]

Jean-Philippe Villeneuve (Cegep de Rimouski): CEGEP – Between High School and University [Presentation Slides]

Andree-Ann Pugin (Cegep de l’Outaouais): Teaching Mathematics in CEGEP [Presentation Slides]


Teaching & Learning Resources


 Math Proofs:

  • Gila Hanna and Michael de Villiers: Proof and Proving in Mathematics Education: The 19th ICMI Study [Link; Downloadable PDF file available]
  • University of Calgary: The Proof Handbook [Website]

Writing Math:

Course Resources


Alternative Delivery:

Collaborative Learning:

Course Outline:

Course Planning:


Math Proofs:

Teaching & Learning Apps & Websites:

Student Engagement:

First-time Teaching Resources



Professional Development Programs:




Math Proofs:

Teaching Documents:


Math Proofs:

Professional Development Programs


Fun Videos:

Learning Apps & Websites:

Math Proofs:

Sample Teaching Videos:


Online Teaching Meet Up Presentation Slides

♦ June 7 & 9, 2021: 2021 Canadian Mathematical Society Summer Meeting Education Session: Anything but Calculus! Alternatives to teaching Calculus in year 1


Conrad Wolfram (Wolfram Research): Will mainstream maths education survive the AI age?

Chris Sangwin (University of Edinburgh): Product vs Process: Problem solving as a year one activity

Chris Rasmussen (San Diego State University): Dynamical Systems Instead of Calculus [Presentation Slides]

Wes Maciejewski (San Jose State University): Life After Calculus [Presentation Slides]

Peter Taylor (Queen’s University): Reinventing Calculus [Presentation Slides]

Deborah Hughes Hallet (Harvard Kennedy School): When should students learn about data? Now! [Presentation Slides]

Claus Michelsen (University of South Denmark): From a discipline-oriented year 1 to an interdisciplinary mathematical modelling course [Presentation Slides]

Marc De Benedetti (University of Toronto Mississauga): Should First-Year Calculus be Taught by Physicists? [Presentation Slides]


Information shared in discussion & Manifesto:

Anything but Calculus! [Google Doc]


May 19, 2021: How to teach ‘em math proofs in first-year and beyond? Part 2 …

Shannon Ezzat (Winnipeg): Proof in Math for Elementary School Teachers [Presentation Slides]

Jerrod Smith (Calgary): The Proof Handbook [Presentation Slides]

Lauren DeDieu (Calgary): Proof Writing Activities [Presentation Slides]


August 10, 2020: Technology show and tell 

Ana Duff (Ontario Tech): Using Open Data for First Year Math [Presentation Slides]


July 27, 2020: Transitioning to university: high school teachers’ experiences and views …

Denise Grightmire (HCDSB): High School Remote Learning [Presentation Slides]


June 29, 2020: Lessons Learnt …

Andie Burazin (UTM): Lessons Learnt [Presentation Slides]


Online Teaching Meet Up Deliverables

March 18, 2021: Reflection & Check-in … Jamboard

August 24, 2020: Icebreakers … All Icebreakers [Website]

June 29, 2020: Lessons Learnt … Jamboard Idea-Sharing Tool

June 15, 2020: Student Engagement in Asynchronous Course Components … Padlets; Padlets [Handout]


Past Publications




  • CMS Notes Editor-in-Chief Robert Dawson (St. Mary’s) published a short opinion piece “Why Do We Teach What We Teach?” in the latest issue (51(3), June 2019) of CMS Notes. To access it, visit CMS Digital Archive https://cms.math.ca/notes/
  • CMESG Newsletter/Bulletin 35(2) May 2019 (pages 2-5) published the report “First Year Mathematics Repository Workshop BIRS, Banff, AB, February 8-10, 2019” by Andie Burazin, Veselin Jungic and Miroslav Lovric.