I am passionate about mathematics and its education. Mathematically, I am interested in group theory and algebraic number theory. Educationally, I am interested in inquiry-based learning (IBL) and the use of AI in education. Through my experience with undergraduate research, I've observed how novel mathematical insights often emerge when students engage with mathematics in innovative ways, reinforcing my belief in the deep connection between mathematical discovery and effective andragogy.

View CV- M.Ed., Ontario Tech University (in progress)
- B.Sc. in Applied and Industrial Mathematics, Ontario Tech University (2024)

- Group Theory
- Algebraic Number Theory
- AI in Education
- Inquiry-Based Learning
- Mathematics Education

Authors: Ayman Diyab, Russell M. Frost, **Benjamin D. Fedoruk**, Ahmad Diyab

MDPI Education (in press)

AI in Education
Prompt Engineering

Mathematics should first be shared among friends, with rigour available but not overwhelming. This philosophy centers on making the fortress of mathematics accessible without compromising its structural integrity.

- • Emphasizes informal understanding before formal definitions
- • Creates multiple pathways to mathematical understanding
- • Builds mathematical maturity progressively
- • Addresses and helps heal math trauma

- • Non-judgmental space for mathematical exploration
- • Rigorous content available through detailed footnotes
- • Multiple entry points for diverse learning needs
- • Emphasis on building mathematical confidence

CSCI 2110U/MATH 2080U

1 - Propositional Logic
2 - Propositional Equivalence and Predicate Logic
3 - Introduction to Proofs
4 - Proof Strategies and Introduction to Sets
5 - Functions and Sequences
6 - Cardinality and Big-O
7 - Modular Arithmetic and Euclidean Algorithm
8 - Induction and Fibonnaci
9 - Counting and the Pigeonhole Principle

MATH 3020U

1 - Real Number Axioms
2 - Metrics, Absolute Value and Topology of R
3 - Infima and Suprema
4 - Mathematical Induction and N
5 - Sequences in R
6 - Cauchy, Cluster Points and Limits Infimum/Supremum
7 - Limit Theorems, Monotone and Bolzano-Weierstrass
Pre-Midterm Review
8 - Double Sequences and Their Limits

1 - Propositional Logic
2 - Propositional Equivalence and Predicate Logic
3 - Introduction to Proofs
4 - Proof Strategies and Introduction to Sets
5 - Functions and Sequences
6 - Cardinality and Big-O
7 - Modular Arithmetic and Euclidean Algorithm
8 - Induction and Fibonnaci
9 - Counting and the Pigeonhole Principle

1 - Real Number Axioms
2 - Metrics, Absolute Value and Topology of R
3 - Infima and Suprema
4 - Mathematical Induction and N
5 - Sequences in R
6 - Cauchy, Cluster Points and Limits Infimum/Supremum
7 - Limit Theorems, Monotone and Bolzano-Weierstrass
Pre-Midterm Review
8 - Double Sequences and Their Limits

1 - Linear Systems and Gaussian Elimination
2 - Working with Matrices
3 - Inverses and Determinants
4 - Determinants and Cramer's Rule
5 - Vector Spaces and Subspaces
6 - Linear Independence and Span
7 - Basis and Dimension
8 - Linear Transformations
9 - Eigenpairs
10 - Diagonalization
Pre-Midterm 1 Review
Pre-Midterm 2 Review

"I think you are one of the most helpful, positive and skilled explainers of mathematical concepts I have ever come across. You are super friendly and highly approachable which really goes a long way in motivating others to try their best and reach out for support."

Your feedback helps future students and helps me improve my teaching.

Submit a TestimonialThe following is a quotation from my late mentor, Jyrki Koivisto, to my high school graduating class. A couple of months after sharing this advice, at the age of 48, he passed away of a sudden brain aneurysm. Koivisto's philosophy has consistently guided mine, especially in teaching.

I have 3 pieces of advice:

- Always be true to yourself.
- Always give to others.
- Always persevere; never give up.
- Don't worry: there is a future for all of us.
- Always bring a towel.

- Email: benjamin (dot) fedoruk (at) ontariotechu (dot) ca
- Phone: (365) 363-7000

- Friday: 11:15 AM - 12:15 PM (UA 3060)
- Or by appointment

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