高中生平面向量模式识别能力研究

A Study on High School Students’ Flat Vector Pattern Recognition Ability

摘要: 模式识别是问题解决中的一个重要概念，它对高中生数学问题解决有着重要的作用，而对于特定数学问题下的模式识别相关研究仍然较少。因此，基于数学问题解决模式识别相关理论，采用文献法、出声思维及访谈法，针对高中生平面向量问题解决过程中知识模式识别进行相关研究，得到高中生平面向量问题解决中的模式识别主要包括两个方面：一是对知识模式的识别，二是对方法模式的识别。对于知识模式的识别包含：题目考点的识别、关联知识点的识别、题目间关联性的识别以及运用其他知识进行解题的识别四个方面。解题能力和解题经验均对模式识别有一定影响，解题能力较好以及解题经验较多的学生均能更好地对知识模式进行识别。

Abstract: Pattern recognition is an important concept in problem solving. It plays an important role in solving mathematical problems of high school students, but there are still few related researches on pattern recognition for specific mathematical problems. Therefore, based on the relevant theory of pattern recognition in mathematical problem solving, using literature method, thinking aloud and interview method, the related research is carried out on knowledge pattern recognition in the process of high school students’ plane vector problem solving, and it is obtained that the main pattern recognition methods in high school students’ plane vector problem solving. It includes two aspects: one is the recognition of the knowledge pattern, and the other is the recognition of the method pattern. The identification of knowledge patterns includes four aspects: identification of test points, identification of related knowledge points, identification of relevance between topics, and identification of using other knowledge to solve problems. Both problem-solving ability and problem-solving experience have a certain influence on pattern recognition. Students with better problem-solving ability and more problem-solving experience can better recognize knowledge patterns.