Rigorous Mathematics for Your Homeschool

No expensive tutors. No additional supplements. Just books that teach mathematical thinking.

Curriculum Roadmap: Kiselev Grades 3–11

Grades 3–6: Kiselev's Arithmetic

Foundations: whole numbers, basic operations, fractions, proportions.

Duration: 2–3 years

Grades 6–8: Kiselev's Algebra, Part I

Algebra foundations: variables, equations, systems, polynomials.

Duration: 1–2 years

Grades 8–10: Kiselev's Algebra, Part II (Coming Soon)

Advanced algebra: functions, logarithms, exponents, transcendental equations.

Duration: 1–2 years

Grades 7–11: Kiselev's Geometry & Stereometry (Coming Soon)

Plane & solid geometry: rigorous proofs, theorems, constructions, spatial reasoning.

Duration: 2–3 years

How to Use Without an Expensive Tutor

1. Books Are Self-Contained

Each section introduces concepts, demonstrates rules, and provides worked examples. Your child can read and follow without additional help.

2. Exercises Reinforce Understanding

They're not speed tests. They're varied problems designed to consolidate conceptual understanding. Students don't need speed; they need reflection.

3. Your Role Is Facilitator, Not Teacher

You don't need to know math deeply. Read alongside your child. Ask questions. Celebrate the "why" behind each rule.

4. Progress Is Measurable

The book is divided into clear sections. Your child can progress at their own pace. There's no rush to "finish." Understanding is the goal.

Study Session Guide

A Typical Session (45–60 minutes)

1

Read new section together (10–15 min)

Parent and child read aloud. Pause at each new proposition or rule. Make sure it's understood.

2

Discuss the logic (5–10 min)

"Does this make sense?" "Why do you think that worked?" Don't assume. Press on the "why".

3

Work through problem examples (10–15 min)

Child works through book's solved examples or easy exercises. Goal is to practice the newly learned rule.

4

Assign problems for homework (20–30 min)

Child does some problems at home. Not all. Quality over quantity. Better 5 well-thought problems than 50 rushed.

FAQ for Homeschool Families

How long does a typical lesson take?

45–90 minutes depending on section and your child's pace. No rush. Understanding is more important than speed.

How many days per week?

3–5 days recommended. Kiselev works better with consistency than long, infrequent sessions.

Can my child study independently?

Yes, especially at older ages (14+). Text is written to be readable. Worked examples are clear. But parent checking in occasionally is helpful.

Is there an answer key?

Yes, included with each book. But use the key wisely. Let child try first. The struggle is where learning happens.

Should I complete all exercises?

No. Select 70–80% of exercises. Choose varied ones (not just easy). Stop once understanding is clear. More isn't better if just doing for quantity.

Start with Kiselev's Arithmetic

The perfect foundation for grades 3–6. Built to teach understanding, not speed.

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