
완전정복!! 중등수학 '방정식과 함수의 관계'에 대한 모든 것
5
review 2
함수와 방정식의 관계를 이해하면 고등수학의 절반을 이해하는 것과 같다.
25,000G(US$17.25)
Class Type
One Day
Ages
14-16
Class Size
Max 5people
Duration
50min
Replay

구자익
Reviews
129
방정식 따로, 함수 따로?
대부분의 중학생은 방정식과 함수의 연결을 모릅니다.
방정식은 함수가 될 수 있는 것과 아닌 것으로 구분됩니다.
방정식은 좌표평면에 나타낼 수 있다, 함수는 모두 방정식이다,
와 같은
기본적인 사실을 알면 방정식과 함수의 개념 이해가 깊어집니다.
직선의 방정식은 무엇인가?
일차함수는 직선의 방정식과 무슨 관계가 있는가?
중등 1학년 때 방정식을 처음 배웁니다.
중등 2학년 때 일차방정식과 일차함수를 처음 배웁니다.
그러나 방정식에서 왜 y가 f(x)가 되는지 교과서에서 알려주지 않습니다.
즉, 교과서나 어느 학습지에도 방정식과 함수의 관계를 깊게 다루지 않습니다.
이차방정식은 무엇인가?
이차함수는 곡선의 방정식과 무슨 관계가 있는가?
중등 3학년 때 이차방정식과 이차함수를 배웁니다.
역시 교과서나 어느 학습지에도 이 둘을 연결지어 설명하지 않습니다.
그러나 그렇게 어려운 개념이 아닙니다.
'완전정복'시리즈는 중등과정을 전체적인 관점에서 바라보는 수업입니다.
완전정복 시리즈를 들으면 수학을 바라보는 관점이 훨씬 넓어집니다.
완전 정복!! 중등수학 '방정식과 그 활용' : 중등 전 과정
완전정복!! 중등수학 '식의 연산'에 대한 모든 것
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)과
독일 수학자 프로이덴탈의 수학화에 근거하고 있습니다. 
G. Polya Hans Freudenthal
@@@선생님 수업 후기@@@


구자익 선생님의 수학 로드맵

중등수학
개념
[저자 직강] 시리즈
[수학 비타민] 시리즈
[완전정복] 시리즈
우리가 잘못 알고 있는 수학
음수 너무 어려워요
응용
모자이크 수학
사고력 수학 글쓰기 - 표준
심화
문제해결의 기술(APS)
사고력 수학 글쓰기 - 심화
의대수학-표준
[퀀텀점프] 시리즈
고등수학
개념
지금까지 이런 수업은 없었다
응용심화
빠른 진도를 원하는 학생을 위한 대수학, 기하학
시험대비
응용심화
내신대비반 4주 완성
Great for These Kids
방정식과 함수의 깊은 개념을 알고 싶은 학생
방정식과 함수의 연결이 궁금한 학생
경시대회를 준비하는 학생
개념, 원리에 호기심이 많은 학생
중등 과정을 배우지 않은 학생
Check Before Class
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방정식과 함수의 관계
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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.
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Teacher Info
Auto-translated to English.

구자익
Reviews
129
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
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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
·
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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