CAJ | 학술논문

课程设计与教材编写是影响学生“学习机会”的重要因素。以美国、英国、德国、法国、俄罗斯和日本六国的代表性教材为比较对象，考察高中数学核心内容的定位、选择与编排，发现各国高中数学核心内容仍以传统基础数学内容为主，但都注意用现代数学思想方法来处理。代数以函数为核心是主流；几何，各国差异较大，重视用代数的方法处理几何问题是一个趋势；统计与概率得到各国重视，但各国的内容选择存在较大差异；微积分内容都属于一元微积分，以导数、积分及其应用为主，部分国家的教材介绍了微分方程概念。
과정설계여교재편사시영향학생“학습궤회”적중요인소。이미국、영국、덕국、법국、아라사화일본륙국적대표성교재위비교대상，고찰고중수학핵심내용적정위、선택여편배，발현각국고중수학핵심내용잉이전통기출수학내용위주，단도주의용현대수학사상방법래처리。대수이함수위핵심시주류；궤하，각국차이교대，중시용대수적방법처리궤하문제시일개추세；통계여개솔득도각국중시，단각국적내용선택존재교대차이；미적분내용도속우일원미적분，이도수、적분급기응용위주，부분국가적교재개소료미분방정개념。
Curriculum design and textbook compilation are important factors that influence students＇＂learning opportunities.＂ Focusing on the identification, selection, and arrangement of high school math core contents in selected representative textbooks from the United States, United Kingdom, Germany, France, Russia, and Japan, the investigation found that the classical math topics in tradition were still the core contents in all these systems, which were dealt with mostly via contemporary thinking and methods. It is popular that algebra takes functions as its core. The treatment of geometry is greatly diversified among the systems, while there is a tendency to emphasize on using algebraic methods to deal with geometry problems. Statistics and probability receive high attention in all the systems, but there are great differences in their selections of topics. Many systems include introductory contents in one-variable calculus, mainly covering topics such as derivation, integration and their application. Some systems also introduce the notion of differential equation.