If you use or adapt any of my resources, I would appreciate you letting me know. It makes me feel useful.
- My Resources for Students – Graduate and undergraduate.
- My Experience with Standards-Based Grading
- My Youtube Videos
Advice on Studying Mathematics
- Proof of Concept, a blog for math majors
- Homework Strategies – Advice for my students.
- Textbook Strategies – Advice for my students.
- Study Math by Speaking It – Study suggestions inspired by language learning.
Introduction to Graduate School
- My Graduate Proof Grading Rubric – From my Algebra 1 course (intro for grad students).
- Studying in Graduate School – Advice to first year graduate students.
Introduction to Proof
- Intro to Proof Gradesheet – This is my grading rubric for a first proofs course.
- Proof of Concept – My YouTube channel of math videos.
- Why you should not use Right-Side-Left-Side – Why Right-Side-Left-Side proofs are a creation of the devil.
- Handout about Writing Definitions
- Worksheet to Introduce Mathematical Exploration (investigating polyhedra) and the polyhedron pictures
- A first proof (if n is even, then n squared is even), and a video of me talking through it
- A 2 minute video that addresses the issue of nested sets.
- Set game instructions and cards (this is a card game for practicing set notation)
- Worksheet on Cartesian products
- Worksheet on Subsets vs. Elements
- Worksheet on Setting up Contradiction
- Wason Selection Task
- Worksheets on negation: Negation I (shoes and hats) and Negation II (numbers) and solutions to the latter.
- My video on if-then statements.
- My video on the Dystopian Perspective on negation of statements, particularly if-then statements.
- SPQR Logic Game (my own version): cards and instructions. Card game for practicing boolean algebra.
- Basic Truth Tables for filling in, and a filled version.
- Example problem on Pigeonhole
- Logical Equivalence Worksheet
- Four-Colour/Graph Intro Warmup
- Graph Definition and Handshake Lemma
- PDF Presentation of Trees having n-1 edges and my accompanying video
- Proof by Contrapositive Setup Sheet and solutions
- Proof by Induction Setup Sheet
- Functions Worksheet (Introduction to Functions)
- Proof that a function has an inverse if and only if it is bijective (with slots, and filled).
- Worksheet on relations
- First Counting Worksheet
- Combinatorial Proof Worksheet and Solutions for First Two
- Latex Tutorial (self-directed worksheet for all ability levels)
- My Introduction to Cryptography Website, with Sage Interactives
- Cryptography Tools Sheet (frequencies, Vig. square and mult. mod 26) (tex)
- Mod 26 Multiplication Table (tex)
- Vigenere Square (tex)
- Blank Cryptosystem Organizer Sheet (tex)
- RSA Cheat Sheet
- Practice proofs worksheet and solutions (tex)
- Legendre Jacobi Cheat Sheet
- Sage Workshop (self-directed worksheet for an introduction to number theory)
- Motivational questions in number theory (for undergrad or grad): questions and answers
- Visualizations for Elementary Number Theory (Chinese Remainder Theorem, Diffie-Hellman etc.)
- Worksheet on solving Linear Diophantine Equations (I advocate the “cards” method, which is a more intuitive formulation of the magic box).
- Summary of Linear Diophantine Equations (via “cards”, a more intuitive formulation of the magic box for students who already know the Euclidean algorithm), and a typeset example.
- Worksheet Introducing Linear Congruences
- Worksheet on Modular Dynamics (discover Fermat’s Little Theorem, inspired by An Illustrated Theory of Numbers)
- Axioms of the Integers
- Geogebra notebook on rational rays and their relationship to Farey fractions
- My Math 3110 (Introduction to Number Theory) website
- MAA Mathematical Sciences Digital Library – I collected an extensive personal catalogue of computer demos for multivariable calculus, which was then incorporated into this digital library as part of my involvement with the project.
- Math 317 Website (from when I taught at UBC; many resources incl. old exams etc.)
- Linear Algebra Demo Links – Sorely out of date now.