I invite you to explore my teaching approach in the collection of materials below.
My Teaching System
Diagnosis First I identify the student’s level, weak areas, exam goals, and the mistakes that cost marks.
Clear Explanation I explain not only how methods work, but also why they work and how they can be applied in real life.
Active Problem Solving Students participate actively, discuss ideas, and develop mathematical reasoning.
Exam-Focused Training We learn how to write solutions, manage time, and avoid common exam mistakes.
Homework & Correction Regular personalized homework helps reinforce learning and reveals what needs improvement next.
Progress Feedback Parents receive honest feedback on strengths, weaknesses, and next steps.
Digital Lesson Notes & Interactive Whiteboard
I use a Samsung tablet as an interactive whiteboard during online lessons. This allows me to write clearly, draw diagrams, annotate exam questions, and build complete solution notes in real time. After the lesson, students can receive the PDF notes for revision and homework.
As a Person
Through years of teaching and parenting, I’ve grown into this kind of teacher:
Respectful
I respect my students as individuals and future colleagues. They have the right to make mistakes, ask questions, and learn without fear of being humiliated or judged.
Clear and patient
If something is unclear, I do not get frustrated. I find a simpler explanation, give more examples, and support the student until the idea starts to make sense.
Fun but demanding
I like bringing humour into lessons, sometimes even with math memes. But I also expect focus, effort, questions, and regular homework — progress needs consistency.
Dedicated
Teaching is my profession and vocation. My students can rely on me: I am consistent, available for questions after lessons, and honest with parents about progress and next steps.
Take a look at my lesson notes across a wide range of topics. I teach in two languages — English and Russian.
IGCSE (Transformations) - PDF IGCSE (Inequalities) - PDF A-Level (Mechanics) - PDFA-Level (Statistics) - PDF A-Level (Circles) - PDFA-Level (Practice problems) - PDF A-Level (Mechanics - Pulleys) - PDFA-Level (Further Maths) - PDF TMUA (Practice Problems) - PDF IB HL (Paper 3) - PDFIB HL (Integrals) - PDF IB SL (Geom & Mech) - PDF AP Calculus (Unit 5) - PDF AMC 10 (Lecture) - PDFAMC 10 (Number Theory) - PDF AMC 12 (Polynomials) - PDF Physics (Vectors) - PDFPhysics (Rotational Motion) - PDF Physics (Propagation of light) - PDFPhysics (Electric Field) - PDF Math School (Geometry) - PDFMath School (Complex #'s) - PDF School Advanced Logic - PDF Linear Algebra (Applications) - PDF Analytical Geometry - PDF Differential Equations (Laplace Transform) - PDF Calculus (Triple Integrals) - PDFCalculus (University Level) - PDF Engineering (Admission Exam) - PDF Probability Theory (University Level) - PDF Complex Functions (Laurent Series) - PDF Waterloo Contest (Grade 7) - PDF Combinatorics (Olympiads) - PDF ЕГЭ (Логарифмы) - PDF Financial Mathematics - PDF School Math (Trigonometry) - PDF
Personalized Homework for Every Student’s Learning Needs
Modern technology makes it possible to create highly personalized homework tailored to each student’s specific needs. Assignments can target recurring mistakes, strengthen weaker areas, or focus directly on the skills and question types required for an upcoming test or exam. This makes practice more focused, efficient, and meaningful.
Below, you can see examples of homework assignments I create for my students: