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数学运算规则样例学习的理论探索
引用本文:张奇,万莹,林洪新,曲可佳.数学运算规则样例学习的理论探索[J].辽宁师范大学学报(社会科学版),2012(1):47-53.
作者姓名:张奇  万莹  林洪新  曲可佳
作者单位:辽宁师范大学教育学院;大连海洋大学理学院;鲁东大学教育科学学院
基金项目:国家自然科学基金项目(30970888);辽宁省人文社科研究基地项目(数学运算样例中关键步骤的学习与教学研究)
摘    要:概述了问题解决样例学习研究的进展,评述了已有样例学习理论的价值,提出了学生可以通过数学运算样例学习新的运算规则的理论解释,并用自己已有的实验研究结果论证了理论解释的科学性。认为学生可以通过精心设计好的数学运算样例并根据已知的数学运算规则顿悟或推断出新的数学运算规则。关键运算步骤的样例设计是数学运算规则样例学习的关键。根据数学运算规则的逻辑特点,可以分别采用分解法、逆运算法和解释法设计运算样例中的关键步骤,从而促进学生对新运算规则的顿悟和运用。

关 键 词:样例学习  规则样例学习  数学运算规则  关键步骤

The Worked Example Learning Theory on the Mathematical Operational Rule
ZHANG Qi,WAN Ying,LIN Hong-xin,QU Ke-jia.The Worked Example Learning Theory on the Mathematical Operational Rule[J].Journal of Liaoning Normal University(Social Science Edition),2012(1):47-53.
Authors:ZHANG Qi  WAN Ying  LIN Hong-xin  QU Ke-jia
Institution:1(1.School of Education,Liaoning Normal University,Dalian 116029,China; 2.School of Science,Dalian Ocean University,Dalian 116023,China; 3.School of Educational Science,Ludong University,Yantai 264025,China)
Abstract:In this paper,the authors summarized the study progress of the worked example learning,commented on the value of the worked example learning theories,advanced the theory that the pupils could study the new operational rules of mathematics by the mathematical operational worked example and proved the scientificity of the theory by their experimental results.The authors opined that the pupils could study or insight the new operational rules of mathematics by the mathematical operational worked example to be designed elaborately and they had possessed the mathematical operational rules.Designing the key step in the mathematical operational worked examples were the key to the mathematical operational worked example learning.We could designed the key steps by the methods of resolution,inverse operation and explanation to promote the pupils to study or insight the new operational rules of mathematics.
Keywords:worked example learning  worked example learning of the rule  operational rule of mathematics  key step
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