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.

研究结果表明：（1）将算术应用题解决过程分解为翻译、整合、计划与监控、执行四个子过程时，发现整合子过程与算术应用题解决准确性的关系最密切。学生们接受了每一个测试，评估每一个科目。(2)使用以HyperCard编写程序的Macintosh计算机进行上述类似的实验。每个单词问题都在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。结果表明，关系图组的学生在难词问题上的成绩优于其他两组（图表组和控制组）。关系型图片组学生在Macintosh电脑上通过操作比例的部分与整体的关系，可以很容易地建立应用题的图式。(3)目前尚不清楚关系图片组的学生在不呈现关系图片的情况下是否能在同一水平上解决难词问题。这一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。

TAJIKA,Hidetsugu: "A cognitive component analysis of arithmetic word problem solving" Research on Learning and Instruction of Mathematics in Kindergarfen and Primary School. 242-250 (1994)

TAJIKA，Hidetsugu：“算术应用题解决的认知成分分析”幼儿园和小学数学学习与教学的研究。