Studies of Mathematical Problem Solving Processes by Using Hypermedia

利用超媒体研究数学问题解决过程

• 批准号: 05680174
• 负责人: TAJIKA Hidetsugu
• 金额: $ 1.34万
• 依托单位: Aichi University of Education
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05680174/
• 关键词: HyperCard; Mathematical Problem Solving; Relational Pictures; Integration Subprocess; Problem Schema; 線分図; 変換過程

The results of this research were as follows :(1) When processes of arithmetic word problem solving are broken down into four subprocesses, translation, integration, planning and monitoring, and execution subprocesses, we showed that an integration subprocess is associated with solution accuracy in arithmetic word problems most closely than other three subprocesses. Students received each test which evaluated each subporcess.(2) A similar experiment stated above was conducted by using a Macintosh computer whose program was written in HyperCard. Each word problem was presented on a Macintosh color classic computer, which was developed as one evaluating each of four subprocesses. The results showed that the students in the relational picture group outperformed the students in the other two groups(the diagram group and the control group) on hard word problems. The students in the relational picture group could easily build schema of word problems by operating the relation between the part and the whole of the ratio via a Macintosh computer.(3) It is not clear whether the students in the relational picture group can solve hard word problems at the same level when they are not presented relational pictures. More research is needed to this issue.

本研究的结果如下：（1）当算术应用题解决过程被分解为四个子过程：翻译、集成、计划和监控以及执行子过程时，我们发现集成子过程与解决方案的准确性相关。算术应用题比其他三个子过程最接近。学生们接受了评估每个子过程的每个测试。(2)使用Macintosh计算机进行了上述类似的实验，其程序是用HyperCard编写的。每个应用题都在一台 Macintosh 彩色经典计算机上呈现，该计算机被开发为评估四个子过程中的每一个。结果显示，关系图片组的学生在困难的单词问题上优于其他两组（图表组和对照组）的学生。关系图组的学生可以通过Macintosh计算机操作比例的部分与整体之间的关系，轻松建立应用题的图式。（3）关系图组的学生是否能解决困难还不清楚。当没有呈现相关图片时，应用题处于同一级别。这个问题需要更多的研究。

项目成果

中津楢男: "ハイパーメディア、マルチメディアと教育" 愛知教育大学研究報告. 45. (1996)

中津奈尾：《超媒体、多媒体与教育》爱知教育大学研究报告45。（1996）

TAJIKA,Hidetsugu: "Studies of mathematical problem solving" Bulletin of the Aichi University of Education. 44. (1995)

TAJIKA，Hidetsugu：“数学问题解决的研究”爱知教育大学公告。

TAJIKA,Hidetsugu: "Analysis of sentence understanding in children's arithmetic word problems" Bulletin of the Japanese Curriculum and Development. 17. 125-130 (1994)

TAJIKA，Hidetsugu：“儿童算术单词问题中句子理解的分析”日本课程与发展公告。

TAJIKA,Hidetsugu: "Using a computer as an understanding facilitator for solving word problems" The Proceeding of the meeting of the Japanese Association of Educational Psychology. 36. 345 (1994)

TAJIKA，Hidetsugu：“使用计算机作为解决文字问题的理解促进者”日本教育心理学会会议记录。

多鹿秀継: "子どもの算数文章題解決における文章理解の分析" 日本教科教育学会誌. 17. (1994)

Hidetsugu Taka：“儿童解决算术应用题的文本理解分析”日本学科教育学会杂志17。（1994）