初中数学优秀生心理表征模型研究

发布时间：2018-07-23 18:14

【摘要】：数学优秀生是指对数学学习活动积极主动能保持持久的兴趣,高效率的学习方法,善于独立思考,意志力坚强并且数学成绩较为突出的学生。数学优秀生的心理表征是指在数学学习活动中,数学优秀生在认知、思维、情感、态度等诸多方面所表现出的独特数学气质。基于对数学优秀生和心理表征的认识,从心理表征的三个方面即:认知方面、元认知方面和元情感方面来展开研究,构建初中优秀生数学心理表征模型。首先,分析已有研究理论,与部分教师访谈进行预调查,提出初中数学优秀生心理表征模型的假说,接着,通过征询有关专家和经验丰富的中学数学教师们的意见,修正模型的假说并确定模型。最后,通过优秀生的个案研究,进一步检验模型的合理性。通过理论和实证的研究表明,初中数学优秀生心理表征模型如下:1.在认知方面:敏锐的观察力,可区分出数学问题结构中的类型特征、数量关系和无关信息;富于联想、迁移,快速地把已知的条件和自身已有的知识联系起来;善于理解,在理解的基础上,将抽象的数学知识赋予具体的含义;表征方式丰富、灵活,能抓住问题的关键,多层次、全方位地分析问题、表征问题,选择最合适的表征方式解决问题。2.在元认知方面:善于组织计划,总结和提炼做题过程中的数学思想方法,举一反三,类比推理,将一个问题从个别推向一般,从而使问题不断深化;监控调节,对自身的数学学习有清醒认识,知道自己的优势与不足及需要努力的方向;注重反思。3.在元情感方面:浓厚的数学兴趣,追求自我价值;意志坚强;勤于辨析,有批判性;独立思考。
[Abstract]:The outstanding students in mathematics refer to the students who are active and active in mathematics learning, who can keep a lasting interest, have a high efficiency in learning, be good at independent thinking, have a strong willpower and have outstanding results in mathematics. The psychological representation of the excellent students in mathematics refers to their unique mathematical temperament in cognition, thinking, emotion, attitude and so on. Based on the understanding of mathematical excellence and psychological representation, this paper studies the three aspects of psychological representation: cognitive, metacognitive and meta-affective, and constructs the mathematical psychological representation model of excellent junior high school students. First of all, by analyzing the existing research theories, conducting a preliminary investigation with some teachers, and putting forward the hypothesis of psychological representation model of the outstanding mathematics students in junior high school, then, by consulting the relevant experts and experienced middle school mathematics teachers, Revise the model hypothesis and determine the model. Finally, through the case study of outstanding students, further test the rationality of the model. Through theoretical and empirical research, it is shown that the psychological representation model of excellent mathematics students in junior high school is as follows: 1. In the cognitive aspect: the keen observation, can distinguish the type characteristic, the quantity relation and the irrelevant information in the mathematical question structure; is rich in association, transfers, links the known condition with own knowledge quickly; is good at understanding, On the basis of understanding, the abstract mathematical knowledge is given specific meaning; the representation is rich, flexible, can grasp the key of the problem, multi-level, all-directional analysis of the problem, representation of the problem, and choose the most appropriate representation to solve the problem. In metacognition: good at organizing and planning, summarizing and refining the mathematical thinking methods in the process of doing problems, drawing the same conclusion, reasoning by analogy, pushing a problem from individual to general, thus deepening the problem, monitoring and regulating, Have a clear understanding of their own mathematics learning, know their strengths and shortcomings and need to strive for direction; pay attention to reflection. 3. In the aspect of meta-emotion: strong interest in mathematics, pursuit of self-worth; strong will; diligence in discrimination, critical; independent thinking.
【学位授予单位】：新疆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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