배워서 바로 써먹는 수학 증명법!! : 교과서에서 사용하는 간단한 증명 : 교과서 외에서 사용하는 간단한 증명
    One-day
    Math
    사고력수학

배워서 바로 써먹는 수학 증명법!! : 교과서에서 사용하는 간단한 증명 : 교과서 외에서 사용하는 간단한 증명

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수업 시간에 배워 바로 써먹을 수 있는 증명법을 배웁니다. a=b인 것을 증명하라? 어떻게 할지 고민하는 학생을 위해 교과서 안과 밖에서 사용하는 여러 증명법을 모아 깔끔하게 정리해드립니다. 수학적 사고력을 키우는데 증명법을 배우는 것만큼 효과적인 것은 없습니다.

30,000G(US$20.70)
Class Type

One Day

Ages

15-16

Class Size

Max 5people

Duration

50min

Replay
구자익

구자익

Reviews

159

Rating

5.0


증명을 잘 하는 아이는, 생각이 깊고 수학 문제도 잘 풉니다.
또, 처음 보는 문제가 나와도 잘 해결합니다.

🧠 증명 수업, 아이가 이렇게 달라져요

  • “어떻게 풀지?” 막막했던 증명 문제가 더 이상 어렵지 않아요

  • 논리적으로 생각하고, 직접 이유를 설명하는 힘이 길러져요

  • 교과서 안팎의 다양한 증명법을 구별해서 쓸 수 있어요

  • 추상적인 수학을 실제 문제에 적용하는 자신감을 얻어요

✏️ 증명법 수업, 3줄로 요약해 볼게요

  • 교과서에서 많이 쓰는 기초 증명법을 예시 중심으로 배워요

  • 실생활이나 다양한 유형의 ‘비교적 간단한 증명’ 문제도 정리해요

  • 배운 내용을 바로 적용할 수 있도록 실전 연습과 피드백을 드려요

🌈 이런 친구에게 적극 추천해요

  • 중등~고1 수학에서 ‘증명’ 문항이 막막한 학생

  • a=b, 등식 증명 기본기를 제대로 다지고 싶은 친구

  • 손쉬운 증명부터 응용 증명까지 체계적으로 익히고 싶은 학생

  • 수학적 사고력, 논리적으로 말하는 힘을 키우고 싶은 친구

🔍 증명은 왜 배워야 할까요?

수학을 공부하다 보면 증명 문제 앞에서 멈칫한 적, 다들 한 번쯤 있지 않나요?

사실 증명은 무작정 외우는 게 아니라, 왜 그 답이 나오는지 내 생각을 순서대로 설명하는 연습이에요.

이 수업에선 단순한 공식 암기가 아닌, ‘이유를 말하는 힘’을 기르게 도와줄 거예요.

교과서 대표 증명부터 자기만의 아이디어로 풀어보는 문제까지, ‘논리적 사고’의 첫걸음을 쉽고 재밌게 시작할 수 있어요.

🕑 50분 동안 이렇게 진행돼요

  • 간단 인사 & 오늘 배울 증명법 소개 (5분)

  • 대표 유형 따라하기 (교과서 증명) (10분)

  • 교과서 외 증명법! 사고력 넓히기 (10분)

  • 실전 연습 문제로 직접 풀어보기 (15분)

  • 풀이 과정 설명하고 서로 질의응답 (5분)

  • 오늘의 증명! 정리 & QnA (5분)

🚀 증명법, 이렇게 키워드로 정리할게요

  • “어떻게” 풀지는 몰라도, “왜” 그런 답이 나오는지 생각하는 힘

  • 여러 방법으로 같은 결론에 도달해보는 재미

  • 수학을 두려워하지 않고 스스로 접근하는 자신감!

수학이 ‘답’만 맞추는 게 아니라, ‘내 생각’까지 정리할 수 있는 과목이라는 걸 이 수업에서 직접 경험해 볼 수 있어요. 바로 다음 교과서 문제부터 자신 있게 증명에 도전할 수 있게 함께 준비해봐요!

Great for These Kids

Recommended
  • 증명법을 배우고 싶은 학생

  • 영재교, 과고를 준비하는 학생

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One Day Class Information
  • If you cancel within 48 hours of the scheduled class, a cancellation fee will apply based on the timing of cancellation.

  • 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

Auto-translated to English.

구자익

구자익

Reviews

159

Rating

5.0

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

·

Coaching for various competitions such as KJMO, KMO, and AMC

·

Producing numerous successful applicants to electronics high schools and specialized high schools

·

Producing numerous students with Grade 1 high school GPA and CSAT scores in the Gangnam 3 districts for over a decade

·

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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