완전정복!! 중등수학 '함수의 기본'에 대한 모든 것
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완전정복!! 중등수학 '함수의 기본'에 대한 모든 것

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함수가 싫은 학생도 저절로 이해되어 좋아지게 되는 수업

28,000G(US$19.32)

23,000G(US$15.87)

Best First Price
Class Type

One Day

Ages

14-16

Class Size

Max 5people

Duration

50min

Replay
구자익

구자익

Reviews

129

Rating

5.0


도대체 함수가 무엇일까?

학생들에게 물어보면 거의 대부분이 대답을 제대로 못합니다.

그렇다면 "함수는 ??이다"라고 물어봐도 대답을 못합니다.

함수는 그만큼 학생에게 낯설고 어려운 단원입니다.

함수를 잘하려면 어디서부터 시작할까요?

함수는 초등수학에서 이미 배웠습니다.

다만 그것을 함수라고 말하지 않았을 뿐입니다.

초등수학에서 배운 것에서 출발하면 함수를 저절로 이해할 수 있습니다.

이때 먼저 배워야 할 것이 변수, 대응 개념입니다.

함수를 표현하는 방법은?

함수를 표현하는 방법은 4가지 정도입니다.

대부분의 학생은 함수를 표현하라고 하면 y=f(x)로 알고 있지만

그것으로는 부족합니다.

다른 표현법이 있는 이유가 있습니다. 그 속에 함수의 역사가 있습니다.

함수는 고등수학의 기본 중 기본이기 때문에 중등수학에서 반드시

이해해야 합니다.

중등수학에서 배우는 함수는?

중등 1-1에 나오는 비례와 반비례, 중등 2-1에 있는 일차함수,

중등 3-1에 나오는 이차함수가 있습니다.

그리고 위에 속하지 않는 함수의 그래프를 본 적이 있습니다.

위 세 가지에 속하지 않는 다양한 함수가 있다는 뜻입니다.

함수를 어떻게 해석할 것인가?

함수 표현법 중 좌표평면에 나타낸 그림을 그래프라 합니다.

이 그래프로 우리는 많은 정보를 얻을 수 있습니다.

여러분은 수시로 그래프를 보고 있습니다. 예를 들면 아래 그림도 본 적이 있습니다.


'완전정복'시리즈는 중등과정을 전체적인 관점에서 바라보는 수업입니다.

완전정복 시리즈를 들으면 수학을 바라보는 관점이 훨씬 넓어집니다.

완전 정복!! 중등수학 '방정식과 그 활용' : 중등 전 과정

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완전정복!! 중등수학 '경우의 수'에 대한 모든 것

완전정복!! 중등수학 '함수'의 모든 것

완전정복!! 중등수학 '정수와 유리수의 혼합계산'에 대한 모든 것

완전정복!! 중등수학 '방정식과 함수의 관계'에 대한 모든 것

완전 정복!! 중등수학 '수와 수체계 그리고 기본성질 : 중등 전 과정


선생님의 수업 특징은?

선생님의 수업 철학은 헝가리 수학자 폴리아의 문제해결기술(발견술)

독일 수학자 프로이덴탈의 수학화에 근거하고 있습니다.


G. Polya Hans Freudenthal

@@@선생님 수업 후기@@@

Great for These Kids

Recommended
  • 중등 수학을 다 배웠으나 함수가 약한 학생

  • 함수가 유독 약한 학생

  • 중등 수학을 복습하고 싶은 학생

  • 개념, 원리에 호기심이 많은 학생

Not Recommended
  • 중등 과정을 배우지 않은 학생

Required
One Day Class Information
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Teacher Info

Auto-translated to English.

구자익

구자익

Reviews

129

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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