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

本研究开发了一个教学包，教Lisp编程的高中学生在数学课。该课程的开发是为了让更多的了解数学公式处理使用计算机作为工具进行模拟。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。然后进行了为期三年的实验教学项目，以调查课程和材料是否合适。在该项目中，取得了一些对课程改进有指导意义的成果，并在每一年结束后逐步改进。第二，对本课程的师资培训方法进行了探讨。在这项研究中，教师培训学院的学生，通过使用开发的教学材料。有一半的学生认为他们理解的很好，他们将能够教这些内容的高中生，但他们中的许多人没有表现出良好的表现，为测试和报告这门课程。第三，一些额外的材料，以帮助教师的活动开发。其中包括指导教学方法的录像资料、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学生的一些错误。

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.