
문제해결의 기술(APS) : 고난도 문제 : 이해부터 해결기술을 한번에, 그리고 심화개념까지 : 초5-1
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이미 아는 개념도 의미를 반성하고 문제를 푸는 기술을 제대로 익혀서, 실전에 바로 사용할 수 있는 능력을 키우는 수업입니다. 문제와 관련된 심화개념, 일반화된 개념도 알려줍니다. 초등 고학년은 중등수학의 준비과정으로 그에 걸맞는 고급수업입니다.
Per Session
Class Type
Subscription
Ages
11-12
Class Size
Max 5people
Duration
50min
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구자익
Reviews
153
🧠 수업을 듣고 나면 이렇게 달라져요
스스로 문제를 읽고, 문제 조건을 파악할 수 있어요.
자주 혼동하는 수학 개념을 명확히 이해해요.
문제 풀이 과정에서 논리적으로 생각하고 계획하는 힘이 길러져요.
심화 개념도 어려워하지 않고, 자신 있게 도전할 수 있어요.
✏️ 수업의 핵심을 3줄로 소개해요
이미 알고 있는 개념도 함께 다시 살펴보고, 실제 문제에 적용하는 연습을 해요.
각 문제를 풀며 중간 중간 심화 개념과 일반화 방법을 자연스럽게 배워요
문제를 이해하고, 합리적으로 접근해 풀어내는 ‘문제해결 기술(APS)’을 익혀요
👉 APS란, 문제를 풀 때 사용하는 전략을 말합니다. 가장 간단한 기술로 그림그리기, 표로 정리하기 등이 있습니다.
🌈 이런 친구라면 잘 맞아요
수학 문제를 푸는 방법을 더 깊이 배우고 싶은 초등 5학년
개념은 알지만 적용이나 심화 문제에서 자주 막히는 친구
혼자서는 문제풀이 과정이 헷갈리거나 정리가 안 되어 고민인 학생
💡 수업은 이렇게 진행돼요
인사하고 오늘 다룰 개념과 긍정 마인드 세팅 (5분)
대표 유형 문제를 풀며 어떻게 접근할지 단계별로 안내해요 (25분)
심화 개념과 일반화 전략을 설명하고, 아이도 직접 시도해봐요 (20분)
자유 질의응답과 개념 정리, 마무리 피드백
🚀 이런 점이 특별해요
단순히 답만 찾는 수업이 아니에요. 왜 그 방법이 필요한지, 어떤 생각 흐름을 타야 하는지 꼼꼼하게 짚어줘요.
5명 소수 정예로 아이마다 고민을 듣고, 부족한 부분이 있으면 개별 피드백이 제공돼요.
수학을 조금 더 깊이, 재미있게 익히고 싶은 학생이라면 분명 큰 도움이 될 거예요.
[수업 교재]
최상위 수학 5-1

🎩선생님의 수업 특징은?
선생님의 수업 철학은 헝가리 수학자 폴리아의 문제해결기술(발견술)과
독일 수학자 프로이덴탈의 수학화에 근거하고 있습니다. 
G. Polya Hans Freudenthal
[선생님 수업 후기]










Weekly
Please check the class introduction for details.
Topics for this class are chosen freely by the teacher.
Great for These Kids
정확한 개념이해를 원하는 학생
암기하는 수학을 싫어하는 학생
5-1과정까지 배우지 않은 학생
개념만 적용해서 푸는 문제에 어려움을 느끼는 학생
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최상위수학 5-1
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Teacher Info
Auto-translated to English.

구자익
Reviews
153
Graduated from Korea University (Seoul Campus) Served as the Director of a renowned academy in the Gangnam 3-gu district for over 15 years Personally produced over a dozen textbooks for elementary, middle, and high school students Taught a student who achieved a perfect score on the 2016 CSAT starting from their first year of high school. For 15 years, I taught middle school classes for medical school and top-tier students, as well as high school classes for Grade 1 students and Grade 1 CSAT students in the Gangnam 3-gu district of Seoul. As an academy director for 10 years, I gained diverse experience teaching students of various levels. In particular, the teacher has the strength of reading students' thoughts, quickly identifying their habits, and presenting appropriate countermeasures and methods. Through the teacher's diverse teaching experience and student observations, countless students have gained confidence in mathematics and improved their grades. Mathematics is a discipline that organizes complex thoughts and aids in problem-solving. In other words, it is a subject that is truly essential to us. However, nowadays, students view mathematics as a subject where they must memorize concepts and theories (without critical analysis) and repeatedly solve problems by type (without knowing why they are solved that way). Mathematics is based on operations, and as students advance through the grades, they must learn by connecting and expanding upon new concepts and theories with what they have already learned. However, students who strongly believe that mathematics is solely about operations face limitations because they view the subject through this single lens. Consequently, the better a student's calculation skills are, the more difficult middle school mathematics feels. This difficulty is experienced again when learning high school mathematics. Mathematical concepts and theories require students to develop a habit of proactively understanding them, while problem-solving requires problem analysis and solution strategies. Only by learning "the connection and expansion of mathematical concepts" and "problem analysis, understanding, and problem-solving strategies" will students realize that mathematics is simple and easy as time goes by. The teacher will help students come to this realization. The teacher's teaching method is somewhat unique. 1. The teacher explains "why" concepts and theories are necessary, "how" they are expressed in a particular way, and "what" they connect to among previously learned concepts. 2. The teacher provides students with the opportunity to express their own thoughts. This allows the teacher to distinguish between well-thought-out ideas and those that need correction. 3. Understand the student's thought process regarding 'how' they solved the problem. 4. Teach how to analyze and understand problems, and the starting point for solving them. 5. Do not teach by categorizing problems into types. Therefore, do not teach solution methods by categorizing them either. 6. Regularly check whether the student solved the problem correctly (logically), and encourage them to express their thoughts verbally (verbal expression helps them identify their weaknesses).
Education & Certifications
Department of Physics, Korea University
Graduated
Experience & Activities
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Teaching middle and high school subjects to middle and high school students for approximately 20 years
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Coaching for various competitions such as KJMO, KMO, and AMC
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Producing numerous successful applicants to electronics high schools and specialized high schools
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Producing numerous students with Grade 1 high school GPA and CSAT scores in the Gangnam 3 districts for over a decade
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Produced perfect scorers on the CSAT (2016 academic year)
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Selling books personally created by the teacher at Kyobo Book Centre (search for JIK)
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International school IB classes or AP courses (Pre-Algebra, Algebra, Geometry, Combination, Number Theory, Pre-Calculus, Calculus)
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