AMC 10 マスター: 博士課程の講師による過去問を使った 1 対 1 の高度な問題解決

Class Description:
Prepare to excel in the AMC 10 with personalized, advanced 1-on-1 tutoring led by Dr. Victoria, a distinguished PhD and former professor with over a decade of expertise in competitive mathematics. This intensive course is meticulously designed to help students navigate the complexities of the AMC 10 exam through targeted practice and expert guidance. Each session focuses on analyzing and mastering the most challenging problems from past exams, ensuring students build a deep understanding of key concepts and strategies.

Key Topics Covered:
Algebra: Equations, inequalities, polynomials.
Geometry: Triangles, circles, area, and volume.
Number Theory: Divisibility, primes, greatest common divisors.
Counting & Probability: Combinations, basic probability.
Proportions & Ratios: Similar triangles, scaling.
Complex Numbers: Basic operations.
Logic & Problem-Solving: Reasoning and puzzles.
These topics focus on problem-solving and logical reasoning at a high school level.

Class Structure:
Each 45-minute session is tailored to the student’s progress and focuses on reviewing complex problems from past AMC 10 papers.

Class Contents:
Warm-up (5 minutes):
A brief review of essential concepts and an overview of easier problems from the past papers to ensure foundational understanding.

Advanced Problem Review (30 minutes):
In-depth exploration of the most difficult questions from the past AMC 10 exams assigned in advance.
Detailed walkthroughs of solutions, focusing on advanced problem-solving techniques, critical thinking, and effective time management.
Interactive discussion where students articulate their problem-solving approach, receive targeted feedback, and explore alternative strategies.

Concept Reinforcement (5 minutes):
A focused review of relevant mathematical concepts and principles to reinforce understanding and application in problem-solving.

Q&A and Homework Assignment (5 minutes):
Opportunity for students to ask questions, clarify doubts, and discuss additional topics of interest.
Assignment of the next set of AMC 10 past papers to prepare for the following session.
Teaching Approaches:

Customized Instruction:
The 1-on-1 format allows for a highly personalized learning experience, addressing each student’s unique strengths and areas for improvement.

Focus on Advanced Problem-Solving:
Emphasis on tackling the most challenging problems from past AMC 10 exams to develop high-level problem-solving skills and strategies.

Innovative Pedagogical Techniques:
Dr. Victoria employs an inspiring, initiative-driven, and interactive teaching approach to engage students and enhance their learning experience.

Conceptual Mastery:
Alongside problem-solving practice, students will review and solidify their understanding of key mathematical concepts critical for the AMC 10.

Expert Feedback and Guidance:
Continuous, personalized feedback ensures students understand their mistakes, refine their strategies, and build confidence.

Pre-session Homework:
Students will receive a set of AMC 10 past papers one week before each session.
Homework aims to prepare students for in-depth problem review and mastery during the tutoring session.
This 1-on-1 AMC 10 preparation course offers a premium, individualized learning experience, combining expert guidance with a structured approach to help students excel in their competitive math journey.