
개념(Concept)이 도대체 무엇이고, 얼마만큼 알아야 잘 안다고 하는걸까?
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"수학에서 개념이 중요하다"라는 말을 많이 듣지만, 정작 개념이 무엇인지 얼마만큼 알아야 개념을 아는 것인지 알기 어렵습니다. 선생님이 개념의 뜻, 개념을 아는 수준을 정확히 알려주고 개인별로 개념 아는 수준을 판단해줍니다.
Class Type
One Day
Ages
11-14
Class Size
Max 10people
Duration
50min
Replay

구자익
Reviews
158
"가운데 줄 위아래에 정수가 적힌 수"라는 말보다 "유리수"가
복잡성을 줄여주고 생각의 대상을 깔끔하게 정돈해줍니다.
인간의 사고는 개념에 의해서 행해지며, 개념은 사고의 단위입니다.
개념은 언어로 표현되며 판단에 의해서 얻어지는 것이나, 판단을 성립시키는 것도
개념입니다.
개념이 형성되는 심리적 과정을 살펴보면 대략 다음과 같습니다.
1단계 여러 가지 대상의 취급과 관찰
2단계 공통적인 것 추측
3단계 새로운 대상에 대한 추측과 검증
4단계 상위개념이나 유사한 개념과의 관계
등등입니다.
일반적으로 학생들이 개념을 몰라서 틀렸다고 하면
"공식을 잊어버렸다, 푸는 법을 잊어버렸다"를 말하는데
그것은 개념의 극히 일부분입니다.
(문제를 틀린 이유는 다른 데 있을 가능성이 더 높아요~~)
잘 이해가 되지 않은 개념이 문제를 풀면서 이해가 되기도 하고
말로 잘 풀어 설명된 것을 읽기만 해도 개념이 이해되기도 합니다.
즉, 학생마다 개념을 받아들이는 방법이 다르고, 그 깊이도 다르답니다.
개념의 형성은 상대적이라 다음 수준을 생각할 수 있습니다.
높은 수준일수록 잘 아는 것입니다.
1수준: 개념의 예인 것과 아닌 것을 구별할 수 있는 수준
2수준: 개념의 중요한 특징과 그렇지 않은 특징을 가릴 수 있는 수준
3수준: 예가 되는 것과 그렇지 않은 것을 판단하고 그 이류를 댈 수 있는 수준
.
.
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개념은 한 번에 알게 되는 것이 아닙니다. 그리고 학년이 올라갈수록 개념 수준이
점점 높아지는 것이니 지금 모른다고 당황할 필요 없습니다.
언젠가는 아래 학생처럼 어려운 문제를 봐도 웃게 될 것입니다.

✅ 질문 답변 시간을 따로 가집니다.
@@선생님 수업 후기@@









Great for These Kids
학생의 수준을 알고 싶은 학생
학생의 현재 잘하고 있는지 궁금한 학생
개념이 무엇인지 궁금한 학생
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Teacher Info
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구자익
Reviews
158
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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