Development of Instructional Package on Lisp Programming to Give More Understanding about Mathematical Concepts. - for Mathematics Education at High School Level

本研究开发了一个在数学课堂上教授高中生LIP语言程序设计的教学包。开发该课程的目的是为了更好地了解使用计算机作为模拟工具进行数学公式处理。通过这门课程，学生可以重新组织他们的数学知识，提高他们的理解，认识到数学形式化的重要性。然后实施为期三年的实验教学项目，考察课程设置和教材是否合适。在该项目中，取得了一些具有指导性的课程改进成果，并在每年年底后逐步完善。得到了一套适用于学校的课程和教材。其次，对该课程的师资培训方法进行了探讨。在这项研究中，一所师范学院的学生通过使用开发的教学材料进行教学。有一半的学生认为他们能够很好地理解高中生的这些内容，但他们中的许多人在这门课程的测试和报告中表现不佳。第三，开发了一些帮助教师活动的额外材料。这些材料包括指导教学方法的视频材料、解释课程中一些重要概念的TP表以及在实验教学项目中观察到的一些学生的错误。

This study developed an instructional package to teach Lisp programming for high school students in mathematics classes. The curriculum was developed to give more understanding about mathematical formula processing using computers as tools for simulation. Through this curriculum students were expected to re-organize their mathematical knowledge, to improve their understanding, to recognize an importance of mathematical formalization.Firstly, a curriculum and instructional materials were developed. Then a experimental teaching project for three years was administrated to investigate if the curriculum and the materials are appropriate or not. In the project, some instructive results to improve the curriculum were obtained and they were improved gradually after the end of every year. As the result a useful curriculum and materials which are able to use in schools were obtained.Secondly, teacher training methods for this curriculum were discussed. For this study students of a teacher training college were, taught by using developed instructional materials. Half of the students felt that they understood as well as they would be able to teach these contents for high school students but many of them didn't show good performance for the tests and reports of this course.Thirdly, some additional materials for helping teachers' activities were developed. They include video materials to advise teaching methods, TP sheets to explain some important conccpts in the curriculum and some mistakes of students which were observed in the experimental teaching projects.