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BYOM Online Instructor Training Guide

Virtual Tutoring Excellence | russianmathtutors.com

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Welcome to Russian Math Tutors

Congratulations on joining Russian Math Tutors! You are now part of a team dedicated to transforming how children learn mathematics through our online platform. This guide will prepare you to deliver our BYOM (Build Your Own Math) curriculum with confidence and effectiveness in a virtual environment.

Our approach is fundamentally different from traditional tutoring. We don't help students memorize procedures—we guide them to discover mathematical principles for themselves. This distinction is at the heart of everything we do.

About Russian Math Tutors

Russian Math Tutors serves over 2,000 students worldwide, offering rigorous mathematics education through our proprietary BYOM program. Our work has been featured in:

  • The Wall Street Journal
  • The Times of London
  • New York Post
  • Daily Mail
  • Town & Country

The Online Advantage

  • Flexible scheduling: Work with students across time zones
  • Digital tools: Virtual whiteboards enable clear mathematical visualization
  • Session recordings: Students can review lessons for reinforcement
  • Global reach: Connect with motivated families worldwide

The BYOM Philosophy

BYOM stands for "Build Your Own Math." This name captures our core belief: students should construct their mathematical understanding through guided discovery, not passive reception of rules and formulas.

The Peterson Activity Method

Our curriculum is based on the work of Dr. Lyudmila Georgievna Peterson, a Russian methodologist and Doctor of Pedagogical Sciences. Since 1975, Dr. Peterson collaborated with leading Soviet mathematicians to develop a comprehensive mathematics curriculum spanning ages 3 through grade 9.

"Not a student for mathematics, but mathematics for a student."

Three Stages of Mathematical Knowledge

  1. Mathematization: Building a mathematical model from real-world situations
  2. Model Study: Constructing mathematical theory within the model
  3. Application: Applying results back to the real world

The 12-Step Lesson Structure

  1. Motivation: Establish purpose and self-determination for learning
  2. Activate Prior Knowledge: Connect to what students already understand
  3. Trial Action: Attempt a challenging problem that creates productive difficulty
  4. Identify Difficulty: Locate the specific obstacle blocking progress
  5. Construct Project: Design a path to overcome the difficulty
  6. Implement Project: Execute the solution approach
  7. Verbalize: Articulate the discovery in external speech
  8. Independent Work: Practice with self-checking
  9. Integration: Connect new knowledge to existing understanding
  10. Review: Consolidate and reinforce
  11. Reflection: Metacognition about the learning process
  12. Summary: Capture key takeaways

Seven Didactic Principles

  1. Activity: Students construct knowledge through doing, not receiving
  2. Continuity: Learning builds seamlessly on prior understanding
  3. Holistic Worldview: Mathematics connects to reality and other subjects
  4. Minimax: Each student works at their optimal level
  5. Psychological Comfort: Learning environment feels safe and supportive
  6. Variability: Multiple approaches to problems are encouraged
  7. Creativity: Students become co-creators of mathematics

Understanding Minimax

  • Maximum: We present content up to the highest difficulty level. Every student is exposed to challenging, advanced material.
  • Minimum: We only require mastery of an acceptable baseline. Not every student must solve every problem.

"Present everything. Require the minimum. Let each student reach their maximum."

Discovery vs. Memorization

Traditional Approach

The teacher writes 5 + 5 + 5 on the board, says "this can be written more simply," introduces the multiplication sign, and explains the rules. Students memorize: "multiplication is repeated addition."

BYOM Approach

The teacher presents a problem: "A school has 856 students. The school decides to buy each student a book for $120 as a holiday gift. How much does the purchase cost?" Students try to write 120 + 120 + 120... but quickly realize this won't work—it's too slow. They need a better way. Through guided exploration, they essentially reinvent multiplication.

The student who discovers multiplication owns it. The student who memorizes it rents it.

Curriculum Overview

The BYOM curriculum follows a spiral structure. Concepts are introduced at an appropriate level, then revisited multiple times at increasing depth.

Example: Sets Across Grades

GradeSet Concepts
Grade 1Groups of objects, comparing groups, more/less/equal
Grade 3Formal notation, Euler-Venn diagrams, intersections, unions
Grade 7Proof by contradiction using Euler-Venn diagrams
Grade 8De Morgan's laws, countability, one-to-one correspondence

Example: Functions Across Grades

GradeFunction Concepts
Grade 4Motion graphs, coordinate systems, plotting points
Grades 5-6Functional dependencies, direct/inverse proportionality
Grade 7Formal function concept, linear functions, piecewise functions
Grade 8Quadratic functions, transformations, domain/range

Assessment and Progress Monitoring

BYOM does not use traditional tests or grades. This is a deliberate design choice based on decades of research into how children learn mathematics.

Why No Traditional Tests?

  • They encourage memorization over understanding.
  • They create anxiety that blocks learning.
  • They snapshot a moment, not a journey.
  • They rank students against each other.

What We Use Instead: Self-Assessment

+ (plus) means "I got this right and understand it." − (minus) means "I made an error or I'm not sure I understand."

What To Do When a Student Marks Themselves −

  • First, acknowledge: "Good catch. You noticed something didn't work."
  • Then, investigate: "Walk me through your thinking."
  • Identify the specific gap: Careless error? Misunderstanding? Gap in prior knowledge?
  • Guide to correction: Don't just give the right answer.
  • Celebrate the correction: "Now you've got it."

"Errors are working situations that require correction, not failures that require punishment."

Platform Quizzes for Formal Assessment

  • Auto-Graded Quizzes: Single/multiple choice questions with instant results
  • Non-Graded Quizzes: Include text questions for detailed responses

Monthly Progress Narratives

  1. Concepts explored: What mathematical territory did we cover?
  2. Thinking development: How is reasoning evolving?
  3. Self-assessment accuracy: Is the student developing honest self-awareness?
  4. Areas of strength: Where does this student shine?
  5. Growth opportunities: What concepts need more time?

Online Platform and Technology

Required Equipment

  • Reliable internet connection: Minimum 10 Mbps upload speed
  • Quality microphone: USB headset or external microphone
  • Webcam: Students should see your face
  • Writing tablet (recommended): Wacom, XP-Pen, Huion, or iPad with Apple Pencil
  • Quiet, professional environment

Your Dashboard

  • Lessons: View scheduled, unscheduled, completed lessons
  • Students: Manage your student roster
  • Group Classes: Create Math Circles
  • Quizzes: Build assessments
  • Wallet: Track earnings and request withdrawals
  • Account Settings: Manage availability, profile, address
  • Teacher's Cabinet: Your personal meeting room

Your Introduction Video

  • Keep it brief: 30 seconds to 1 minute
  • Hold phone horizontally
  • Focus on teaching approach, not just credentials
  • Speak naturally

How to Make Outstanding Introduction Videos

Managing Your Availability

General Availability (Default Schedule)

  • Set your recurring weekly availability
  • Applies indefinitely going forward

Weekly Schedule (Temporary Overrides)

  • Block specific dates for appointments, vacations
  • Only affects that particular week

Virtual Whiteboard Best Practices

  • Write large and clearly
  • Use color strategically: Blue for given info, red for unknowns, green for solutions
  • Organize space: Use multiple pages
  • Save your work: Export after each lesson

Online Lesson Delivery

60-Minute Online Lesson Structure

  1. Connection & Homework Review (5-10 min)
  2. Warm-up (5 min)
  3. Challenge (10-15 min)
  4. Discovery (10-15 min)
  5. Verbalization (5 min)
  6. Practice (10-15 min)
  7. Closing (5 min)

Questioning Techniques

  • "What do you notice?" (observation)
  • "What have we tried so far?" (reflection)
  • "What's making this difficult?" (identify obstacle)
  • "What would help us here?" (construct approach)
  • "Can you explain why that works?" (verbalization)
  • "How is this similar to what we learned before?" (integration)

Common Pitfalls to Avoid

  • Telling too quickly
  • Rushing to "complete" topics
  • Treating errors as failures
  • Procedural shortcuts
  • Giving grades or scores
  • Lecturing without interaction

Homework Assignment

Use the Homework Module — NOT Messenger

Always assign homework through the platform's Homework Module, not through the messenger.

How to Assign Homework

  1. Navigate to the lesson in your dashboard
  2. Click "Add Homework"
  3. Fill out the form with title, description, and attachment
  4. Click Save

Providing Feedback

You must provide meaningful feedback. Generic placeholders like ".", "ok", "good" are not acceptable.

Warning

Admin reviews homework feedback quality. Placeholder text will reduce your instructor ranking.

Competitive Positioning

BYOM vs. Generic Online Tutoring

AspectGeneric TutoringBYOM
MethodHomework help, test prepGuided discovery
GoalPass the next testDeep understanding
CurriculumFollows school textbookSpiral progression
Tutor RoleExplains solutionsGuides discovery
Long-term ImpactShort-term improvementLasting mathematical thinking

BYOM vs. RSM

  • RSM: Large institution, curriculum diluted for accreditation
  • BYOM: Authentic Peterson methodology
  • Class size: RSM 15-20 students; BYOM 1-on-1 or 4-5
  • Flexibility: RSM fixed schedules; BYOM flexible online

Your Training Schedule

Week 1: Philosophy and Methodology

  1. Read this Training Guide
  2. Read BYOM Q&A document
  3. Review 2-3 grade-level workbooks at russianmathtutors.com/russian-math-books
  4. Watch VSL and YouTube content
  5. Study the 12-step lesson structure
  6. Set up your teaching environment

Week 2: Practical Application

  1. Observe 2-3 recorded lessons
  2. Practice-teach sample lessons
  3. Learn the assessment process
  4. Practice virtual whiteboard techniques
  5. Practice parent communication scripts

Week 3: Supervised Teaching

  1. Teach first real students with trainer observing
  2. Debrief after each session
  3. Write your first progress narrative
  4. Begin independent teaching

Parent Communication Scripts

Initial Consultation

"Your child won't just learn math facts. They'll understand where those facts come from and why they work. By the time most students are dreading fractions in 6th grade, BYOM students have been working with them confidently since 4th grade."

Explaining Our Assessment Approach

"We don't use traditional grades because they measure the wrong things. Grades tell you how your child performed on one particular day. We track how your child's mathematical thinking develops over time."

When Parents Worry About Screen Time

"Our sessions are active, not passive. Your child isn't watching videos—they're solving problems, explaining their thinking, and interacting with me constantly. It's more like a conversation than screen time."

Platform Rules and Best Practices

Lesson Completion

  • Mark lessons complete promptly
  • Payment processes 48 hours after completion
  • Use "Request Reschedule" to move lessons
  • Avoid canceling—students may lose bulk pricing

Wallet & Withdrawals

  • Minimum withdrawal: $50 USD
  • Frequency: Once every 20 days
  • Payment methods: Wise or PayPal
  • Processing time: 1-4 working days

Encourage Reviews

  • Google Reviews: Click the star rating on our homepage
  • Trustpilot Reviews: Students receive automatic email invitations

Encourage Subscriptions

Benefits for students: 10% discount, rate lock, automatic purchases.

Benefits for you: Predictable income, reduced churn, higher commitment.

When You Can't Serve a Student

Always recommend other RMT tutors at russianmathtutors.com/teachers

Writing Your Own Quizzes

Ranking Bonus: 5 quiz questions = 1 review equivalent for your tutor ranking

Resources

Curriculum Materials

Platform Tools

Strict Platform Rules — Immediate Expulsion

  • Exchanging personal contact information
  • Arranging meetings outside the platform
  • Making payment arrangements outside the platform
  • Soliciting students to leave RMT

All lessons are recorded and communications are monitored. Violations are taken seriously with no exceptions.

Contact Information

Welcome to the team!

Your work will shape how children understand mathematics.

Last Updated: December 2024