From following a solution to solving independently
Understanding an explanation is a starting point, not the end of mastery. How do we identify the practice a child actually needs?
Read articleFrom early numeracy to Grade 12 calculus. Personal explanations, lesson materials and practice, shaped around your child’s starting point.
Early numeracy, school mathematics, enrichment and competition exploration. Choose a path that fits your child.
Connect numbers, operations, fractions and word problems through visual explanations and meaningful practice.
Discuss elementary learning →Build confidence with ratios, percentages, algebra and geometry. Develop clear reasoning and independent study habits.
Discuss middle school learning →Ontario mathematics, Functions, Advanced Functions, Calculus and Data Management; IB/AP support tailored to the school outline.
Discuss high school learning →Choose a familiar situation. Explore how Arno connects maths learning, practice habits and clear follow-up.
A clear plan should say what to practise, what to review and what happens next.
Illustrative teaching arrangements, not real student results. A personal plan follows a discussion of the student's needs.
Each lesson connects to the next.
A plan, a practice task, and useful feedback.
Review the school outline and recent work, then use short tasks to distinguish conceptual gaps from calculation, reading or strategy difficulties.
Set lesson priorities and revision targets, connecting school progress, missing foundations and upcoming assessments.
Use tailored handouts and tiered practice: explanation, guided examples, independent work, then variations or deeper inquiry.
Provide lesson feedback and practice tasks. Review corrections and revisit key skills before deciding the next step.
Lesson schedules, homework deadlines and confirmed payment records stay together in the student portal.
Long-form reflections on learning, teaching stories, curriculum planning and family support.
Understanding an explanation is a starting point, not the end of mastery. How do we identify the practice a child actually needs?
Read articleA plan should do more than fill a calendar with topics. It connects school progress, the student’s starting point and goals that can be checked.
Read articleUseful feedback goes beyond “a good lesson.” It connects the classroom, practice and the next teaching decision.
Read articleUniversity of Toronto · Department of Mathematics
Mathematics teacher at an international school in Toronto
5+ years of one-to-one teaching services
I'm Arno Zhang, a graduate of the University of Toronto's mathematics department and a mathematics teacher at an international school in Toronto. With more than five years of one-to-one tutoring experience, I focus on personalized K–12 teaching plans: clear goals, tailored handouts, tiered practice and ongoing follow-up, shaped around school learning and individual needs.
The rigorous training of a university mathematics department shaped my attention to definitions, logic and complete reasoning. I bring that precision into clear explanations: why a formula works, when it applies and how a student can check a conclusion.
I have worked with many students whose foundations were incomplete. I prepare lessons around the individual, creating handouts, focused exercises and review tasks rather than giving everyone the same worksheet.
I explain in English and Chinese as needed, while helping students use the mathematical language required in school. Lessons move from visual understanding and guided practice toward clear reasoning and independent solutions.
“A correct answer matters. Knowing why—and being able to do it again—matters just as much.”Discuss a learning plan
A school outline, recent homework or tests, and your main learning goals help identify a useful starting point.
Yes. The balance should follow the student's actual needs and current school topics, and can be adjusted after practice.
Confirm the course, lesson length, schedule, and fee before starting. A monthly schedule can make the planned lessons and payment clear.
A short conversation is the starting point
for a thoughtful learning plan.

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