中美两国高中数学教材三角函数的比较研究
发布时间：2018-09-01 10:44
【摘要】：教材是学生学习的重要知识载体,通过对教材知识的国际比较,可以很好地为我国的教材编写提供借鉴,从而优化我国的教材编写理念.三角函数是高中数学的重要内容之一,它既是对函数内容的进一步拓展,又可以加深学生对函数知识的应用性认识.中国PEP教材、美国UCSMP教材和CPM教材在各自国家的中学的发行量都比较广泛,在师生间都受到普遍欢迎,因此笔者选取这三套教材作为比较的素材,以三角函数内容为比较对象,从知识处理,习题设置以及信息技术与知识的整合三个视角对以上三套教材加以比较.通过对以上三套教材的比较,可以看出：在知识内容上：PEP教材在结构编排上注重知识逻辑性,强调知识之间的前后连贯性,能够从学生已有知识水平上找出新的生长点；UCSMP教材注重知识的全面性,知识覆盖面广且内容相对丰富；而CPM教材在知识的编排上则显得有些散乱.在习题设置上：在习题数量设置方面,UCSMP教材最多,其次是PEP教材,CPM教材最少；在习题类型设置方面,三套教材都重视习题的分层设置,以满足不同学生的需要;在习题难度方面,PEP教材比较注重学生的运算与推理能力,CPM教材则注重知识的综合程度和习题背景的选取,而UCSMP教材则注重学生对数学知识的认知.在信息技术方面,三套教材都提倡使用计算器和计算机来辅助教学和学习,以帮助学生简化计算,准确作图,从而提高学习效率.总之,PEP教材注重知识的逻辑性与衔接性,但是对数学知识的素材来源有所欠缺,UCSMP教材注重习题的层次性与多样性,CPM教材在素材的选取上注重丰富多样性.因此我国的PEP教材可以借鉴美国的两套教材,注重数学知识与信息技术的融合,知识内容和素材的联系.
[Abstract]:Teaching material is an important knowledge carrier for students to learn. Through the international comparison of textbook knowledge, it can provide a good reference for the compilation of textbooks in our country, and thus optimize the idea of compiling textbooks in our country. Trigonometric function is one of the important contents of mathematics in senior high school. It not only extends the content of function, but also deepens the students' understanding of the application of function knowledge. The circulation of Chinese PEP textbooks, American UCSMP textbooks and CPM textbooks in middle schools in their respective countries are relatively extensive and are generally welcomed by teachers and students. Therefore, the author selects these three sets of textbooks as materials for comparison, and takes trigonometric functions as the objects of comparison. The above three sets of textbooks are compared from the perspectives of knowledge processing, problem setting and integration of information technology and knowledge. Through the comparison of the above three sets of textbooks, we can see: in the knowledge content, we can find out the new growth point from the level of the students' existing knowledge by paying attention to the knowledge logic and the coherence between the knowledge in the structure arrangement of the teaching material: 1. UCSMP textbooks focus on the comprehensiveness of knowledge, the knowledge coverage is wide and the content is relatively rich, while the CPM textbooks are somewhat scattered in the arrangement of knowledge. In the setting of exercises: the number of exercises is the most, the second is PEP textbooks, the three sets of textbooks pay more attention to the layering of exercises to meet the needs of different students. In terms of difficulty of exercises, UCSMP textbooks pay more attention to the students' ability of calculation and reasoning. CPM textbooks pay more attention to the comprehensive degree of knowledge and the selection of exercise background, while UCSMP textbooks pay attention to students' cognition of mathematical knowledge. In the field of information technology, the three sets of teaching materials advocate the use of calculators and computers to assist in teaching and learning, so as to help students simplify calculation, make drawings accurately, and improve their learning efficiency. In short, PEP textbooks emphasize the logic and cohesion of knowledge, but the sources of mathematical knowledge are deficient. UCSMP textbooks pay attention to the hierarchy and diversity of exercises. CPM textbooks pay attention to rich diversity in the selection of materials. Therefore, the PEP textbooks in our country can draw lessons from the two sets of American textbooks, pay attention to the integration of mathematical knowledge and information technology, and the connection of knowledge content and material.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2216951
[Abstract]:Teaching material is an important knowledge carrier for students to learn. Through the international comparison of textbook knowledge, it can provide a good reference for the compilation of textbooks in our country, and thus optimize the idea of compiling textbooks in our country. Trigonometric function is one of the important contents of mathematics in senior high school. It not only extends the content of function, but also deepens the students' understanding of the application of function knowledge. The circulation of Chinese PEP textbooks, American UCSMP textbooks and CPM textbooks in middle schools in their respective countries are relatively extensive and are generally welcomed by teachers and students. Therefore, the author selects these three sets of textbooks as materials for comparison, and takes trigonometric functions as the objects of comparison. The above three sets of textbooks are compared from the perspectives of knowledge processing, problem setting and integration of information technology and knowledge. Through the comparison of the above three sets of textbooks, we can see: in the knowledge content, we can find out the new growth point from the level of the students' existing knowledge by paying attention to the knowledge logic and the coherence between the knowledge in the structure arrangement of the teaching material: 1. UCSMP textbooks focus on the comprehensiveness of knowledge, the knowledge coverage is wide and the content is relatively rich, while the CPM textbooks are somewhat scattered in the arrangement of knowledge. In the setting of exercises: the number of exercises is the most, the second is PEP textbooks, the three sets of textbooks pay more attention to the layering of exercises to meet the needs of different students. In terms of difficulty of exercises, UCSMP textbooks pay more attention to the students' ability of calculation and reasoning. CPM textbooks pay more attention to the comprehensive degree of knowledge and the selection of exercise background, while UCSMP textbooks pay attention to students' cognition of mathematical knowledge. In the field of information technology, the three sets of teaching materials advocate the use of calculators and computers to assist in teaching and learning, so as to help students simplify calculation, make drawings accurately, and improve their learning efficiency. In short, PEP textbooks emphasize the logic and cohesion of knowledge, but the sources of mathematical knowledge are deficient. UCSMP textbooks pay attention to the hierarchy and diversity of exercises. CPM textbooks pay attention to rich diversity in the selection of materials. Therefore, the PEP textbooks in our country can draw lessons from the two sets of American textbooks, pay attention to the integration of mathematical knowledge and information technology, and the connection of knowledge content and material.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
【参考文献】
相关期刊论文 前1条
1 林丹;胡典顺;王明巧;;美国高中Core-Plus Mathematics数学教材编排结构特点及启示[J];数学通报;2015年01期
，本文编号：2216951
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