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The purpose of this study is to find out the role of the textbook in
solving the killer problems that are classified as high-level questions in
the Korean-Scholastic Ability Test (K-SAT) and to suggest how to
promote public education for students to be able to solve those problems
through it. We conduct our study based on '나' and 'A' type of
mathematics area of the K-SAT, analyze the killer problems of the
K-SAT in the last five years, and study three kinds of textbooks in view
of thesis problems.
In this thesis, we analyze in three steps whether the killer problems can
be solved only with the contents presented in the textbook. With the
conclusion that it is hard to solve killer problems in K-SAT only with
textbooks, a survey was conducted on 30 mathematics teachers to get
some solution to improve classroom education using textbook.
The result of the survey gives us two messages: Firstly, textbooks
should be revised to assist student’s problem-solving abilities with
reasoning skills, and to facilitate ...

The purpose of this study is to find out the role of the textbook in
solving the killer problems that are classified as high-level questions in
the Korean-Scholastic Ability Test (K-SAT) and to suggest how to
promote public education for students to be able to solve those problems
through it. We conduct our study based on '나' and 'A' type of
mathematics area of the K-SAT, analyze the killer problems of the
K-SAT in the last five years, and study three kinds of textbooks in view
of thesis problems.
In this thesis, we analyze in three steps whether the killer problems can
be solved only with the contents presented in the textbook. With the
conclusion that it is hard to solve killer problems in K-SAT only with
textbooks, a survey was conducted on 30 mathematics teachers to get
some solution to improve classroom education using textbook.
The result of the survey gives us two messages: Firstly, textbooks
should be revised to assist student’s problem-solving abilities with
reasoning skills, and to facilitate convergence among various concepts.
Secondly, it is required to promote customized studies, to adjust the
difficulty level of the K-SAT, and to create a collaborative environment
among parents, teachers, universities and the government to boost public
confidence on public education.
본 연구는 대학수학능력시험(수능시험)에서 고난도 문항으로 분류되는 킬러 문항을 해결하는 과정에서 교과서의 역할 정도를 알아보고 공교육 활성화 방안 제시를 목적으로 한다. 수능시험 수학 영역의 ‘나’형, ‘A’형을 기준으로 진행하였으며, 최근 5년 동안 치러진 수능시험의 킬러 문항 14문항을 분석하였고, 세 종류의 출판사 교과서를 선택하여 연구하였다.
본 연구에서는 교과서에 제시된 내용만으로 킬러 문제를 해결할 수 있는지에 대한 판단의 단계를 3단계로 나누어 비교·분석하였다. 교과서만으로는 수능 문제를 해결하기 힘들다는 결론에 대한 해결방안으로 수학교사 30명을 대상으로 설문을 진행하였다.
설문을 통한 결과는 첫째 공교육의 활성화를 위해서 문제해결력, 추론능력을 기를 수 있고 개념 간의 융합이 잘 이루어질 수 있도록 교과서가 개편되어야 한다는 것이고, 둘째 수준별 수업의 활성화, 수능 난이도의 변화 그리고 학교 교육에 대한 신뢰를 높이기 위해 학부모, 교사, 대학, 정부의 협업적 환경 마련이 요구된다는 것이다.

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