One-to-one mathematics tutoring & academic mentorship · Canada & United States
Rigorous, attentive mentorship for ambitious students and driven early-career professionals—combining precise mathematical teaching with the long-term development of confidence, judgment, and independence.
New tutoring students start with a free introductory conversation. No obligation to book.
Tutoring
Every engagement begins with a conversation about your course, goals, and current understanding—not a generic lesson plan.
Secondary
For ambitious high-school students pursuing demanding curricula, preparing for university, or seeking rigorous individualized support.
University mathematics
For students who want to understand the course—not simply survive the next assignment or examination.
Advanced & proof-based
For upper-year students developing mathematical maturity, rigorous proof technique, and independent problem-solving.
Sessions are online. Ninety-minute university sessions are available at the same hourly rate. Recurring students are normally billed monthly. Prices shown in CAD.
The approach
I combine the depth of a research mathematician with deliberate, evidence-informed teaching. Our work is collaborative, candid, and built over time; the goal is greater mathematical independence, not dependence on a tutor.
A wrong answer can come from notational errors, a missing definition, calculation mistakes, or a deeper conceptual gap. We find which one it is.
Pictures, examples, and informal reasoning build insight; precise definitions and well-crafted proofs make that insight dependable.
I ask purposeful questions, give calibrated hints, and gradually withdraw support as your confidence and judgment grow.
Mathematics consulting
These are thoughtful one-to-one conversations for students and researchers in mathematics and adjacent STEM fields: specialist academic guidance grounded in your particular goals and circumstances.
Develop a coherent application strategy for mathematics and STEM programs, from program selection through written materials and interviews.
Clarify possible paths, evaluate graduate study, plan skill development, and make thoughtful decisions about research, industry, or academic careers.
Build responsible, efficient ways to use AI for literature exploration, mathematical coding, note-making, writing revision, and research organization.
About your tutor
I am a University of Toronto postdoctoral research fellow and a UBC-trained mathematician. For more than a decade, I have worked alongside students to turn intimidating mathematics into ideas they can reason with—and to build the confidence to keep going independently.
My teaching background includes the 2025 Killam Graduate Teaching Award, advanced university teaching certification, leadership of a UBC class of more than 80 students, and work as chief editor and co-author of two honours multivariable-calculus textbooks.
Visit my academic websiteSelected fellowships & awards
These honours reflect sustained achievement in research, teaching, and competitive academic funding—the systems I help students learn to navigate thoughtfully.
National doctoral fellowship
University of British Columbia
University of Toronto
National postdoctoral award
Excellence in university teaching
Frequently asked questions
If you are unsure whether your course, research workflow, or academic decision is a fit, send an inquiry. I will give you a candid recommendation.
I work with secondary, undergraduate, proof-based, and selected graduate mathematics students, including students preparing for qualifying exams. Statistics tutoring is available at secondary, undergraduate, and advanced levels; general SAT tutoring is offered within the secondary category. The best fit is someone willing to think actively, ask questions, and practise between meetings.
We begin with the idea or problem creating the most friction and talk through how you currently see it. I diagnose the underlying gap, rebuild the concept clearly, and then guide you through increasingly independent practice. Sessions are conversational and interactive rather than lecture-based.
Most students begin with 60 minutes. For proof-based courses or substantial weekly problem sets, 90 minutes often provides enough time to develop an idea carefully without rushing. We choose a meeting rhythm around your course, goals, and the kind of continuity that will be most useful.
I will help you understand definitions, test ideas, find errors, and develop your own solution. I do not complete graded work, write submitted proofs, or participate in active assessments.
I provide one-to-one guidance in three areas: academic and career strategy, responsible AI integration for research workflows, and college or graduate-school admissions. Each engagement is shaped around a specific decision, project, or transition.
Consulting is best suited to students and researchers in mathematics and adjacent STEM fields who want specialist, individualized guidance. It is not general life coaching; our work stays grounded in your academic context, goals, and circumstances.
It may be a focused one-time conversation or a defined sequence of meetings with preparation and follow-up. Before we begin, we agree on the goal, scope, any useful materials, and the fee so that the engagement has a clear purpose.
I provide strategy, feedback, and teaching. I do not ghostwrite applications, fabricate research, complete work presented as your own, or guarantee admissions, funding, research, or career outcomes.
I reply personally within two business days. For new tutoring students, we start with a free 15-minute introductory conversation to discuss your course, goals, and how I can help. We arrange this by email after your inquiry—there is no separate booking step and no obligation to book tutoring. For consulting inquiries, I suggest a next step based on the support you need.
Yes. I work online with students and consulting clients across Canada and the United States. Tutoring rates can be viewed in either CAD or USD using the pricing toggle above.
Start a conversation
Tell me your course and what you’d like help with. A sentence or two is enough. I’ll reply personally within two business days.
Every new tutoring student starts with a free 15-minute introductory conversation. We’ll discuss your goals and whether working together is a good fit, with no obligation to book tutoring.
General questions? hello@drcalebmathmentor.ca