![[Why] 연산에 대한 기본법칙 세 가지 : 교환법칙, 결합법칙, 분배법칙이란? 중요점과 법칙의 비교와 차이!](https://i1.gguge.com/r/teacher/c2fbb700-289b-4d4b-ad1f-28b26ceacc5d.png.webp?w=1280)
[Why] 연산에 대한 기본법칙 세 가지 : 교환법칙, 결합법칙, 분배법칙이란? 중요점과 법칙의 비교와 차이!
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review 2
덧셈과 곱셈 두가지 연산에 대해 교환, 결합, 분배법칙이 성립합니다. 그런데 "왜 뺄셈, 나눗셈에 대해 성립하는가, 세 법칙이 성립하지 않으면 어떻게 될까, 새로운 연산기호에 대해 세 법칙은 성립하는가?"를 알아보는 과정에서 수학 기본실력이 한층 높아질 것입니다.
21,000G(US$14.49)
Class Type
One Day
Ages
13-14
Class Size
Max 5people
Duration
50min
Replay

구자익
Reviews
141
🧠 수업을 듣고 나면 이렇게 달라져요
연산의 법칙이 왜 중요한지 알게 되요.
교환, 결합, 분배법칙이 실제 계산에서 어떻게 쓰이는지 명확하게 알 수 있어요.
덧셈과 곱셈뿐 아니라, 뺄셈‧나눗셈에서는 왜 다르게 적용되는지 논리적으로 설명할 수 있어요.
연산기호를 스스로 만들어 수학적 증명을 해볼 수 있어요.
✏️ 수업 내용 3줄 요약
덧셈과 곱셈에서 성립하는 세 가지 연산법칙을 비교하고 차이를 탐구해요
왜 뺄셈, 나눗셈에는 적용되지 않는지 실제로 여러 예시를 통해 확인해요
새로운 연산기호까지 확장해 법칙의 성립 여부를 스스로 증명해봐요
🌈 이런 친구에게 꼭 추천해요
중학교 1학년 수학을 배우는 학생
연산법칙을 외우기만 하고 ‘왜?’라는 물음이 남아있는 친구
수학 답만 맞추기보다 원리를 제대로 이해하고 싶은 친구
교환법칙, 결합법칙, 분배법칙이 자주 헷갈리는 학생
이후 수학 문제풀이에서 자신만의 논리와 확신을 갖고 싶어하는 친구
🕵️♂️ 수학 법칙은 왜 중요한가요?
교환법칙, 결합법칙, 분배법칙은 단순히 공식처럼 외우는 게 아니라 수학을 이해하는 데 필수적인 ‘논리적 바탕’이에요. 만약 이 법칙 중 하나라도 성립하지 않는다면 계산 결과가 어떻게 달라질까요? 수업에서는 직접 계산해보면서 ‘왜’라는 의문을 쉽고 확실하게 풀어가요. 예상과는 달리 각각의 연산마다 법칙 적용이 다르다는 것도 꼭 확인해봐요!
🧩 이런 경험을 할 수 있어요
문제 풀이 위주가 아니라, 주어진 조건을 바꿔가며 직접 예시를 만드는 활동도 해요. 스스로 증명도 해보고, 어떤 법칙이 왜 필요한지 찾아가면서 수학적 논리력을 키울 수 있는 수업이에요.
이 수업을 통해 공식에 대한 막연한 외움에서 벗어나, 계산의 원리와 법칙을 직접 증명하는 재미를 느껴볼 수 있도록 도와줄게요. ‘왜 그런지’를 해결하며 자신감 넘치는 수학 시간을 경험하세요!

Great for These Kids
세 가지 법칙을 처음 들어보는 학생
수학 법칙에 대해 호기심이 있는 학생
외우는 것보다 이해하는 것이 중요하다고 생각하는 학생
초등과정을 다 배우지 않은 학생
Check Before Class
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자료실의 파일 출력물(혹은 패드에 저장)
이 수업은 문자를 이용하는 수업입니다.
이 수업은 문자를 이용하는 수업이므로 문자사용에 익숙치 않은 학생은 문자 사용에 관한 단원(1-1 수와 식)을 배우고 참석해주세요.
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If you cancel more than 48 hours before the scheduled class, a full refund will be issued with no cancellation fee.
To reschedule, please cancel and rebook.
If the teacher cancels the class, you will receive a full refund and any coupons used will be restored.
Teacher Info
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구자익
Reviews
141
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
·
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)
·
Selling books personally created by the teacher at Kyobo Book Centre (search for JIK)
·
International school IB classes or AP courses (Pre-Algebra, Algebra, Geometry, Combination, Number Theory, Pre-Calculus, Calculus)
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