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The Study of Middle School Students’ Mathematical Problem--posing Ability

Author: ChenQiuHua
Tutor: MaShunYe
School: Shandong Normal University
Course: Curriculum and Pedagogy
Keywords: Mathematical problems Math question Psychological processes Mathematical Situations Way of thinking
CLC: G633.6
Type: Master's thesis
Year: 2004
Downloads: 527
Quote: 16
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Abstract


The ability to carry out a preliminary study on the students' mathematical problem. First, the paper describes the theoretical basis of mathematical problems, pointed out that the psychological significance of the studied mathematics ability, and the design of the study content; second, through the investigation of mathematical problems on high school students to explore mathematical problem process; summarizes the mathematical problem situations sources and propose a mathematical way of thinking of the problem; questionnaire to explore the impact of students' mathematical problem proposed capacity factors; Finally, on the basis of the above research gives a number of recommendations on how to cultivate and improve students' mathematical problem capacity. The text focuses on the following questions: 1, mathematical problems defined as follows: expressed in mathematical language, the use of mathematical knowledge and mathematical ways of thinking to solve problems. The standard of \The question several insights that question is a means of effective or better to solve the problem; \to the characteristics of activities or excellent; \Creativity in the analysis of the problem, on the basis of the main objectives of the current mathematics education and students to ask questions the status quo, expounded the significance of the study; helps to enhance the awareness of the student's body; helps to develop students awareness of innovation contribute to the formation and development of students' cognitive structure; helps to develop independent learning mathematics ability and creative thinking; 3, from the ways of the mathematical problem, affecting students ability factors proposed mathematical problems and their training methods angle review of existing research results, and designed on the basis of the content of this research; math question psychological process mathematical source of the problem, the proposed mathematical way of thinking of the problem as well as capacity factors affect student math question. 4, the use of a questionnaire to test an analysis, conversation exchange law and mathematics teachers made a survey of the mathematical problems of the middle school students, the results were analyzed. Can conclude from the analysis: (1) the psychological processes of mathematical problems, including perceived situational analysis scenarios, ask questions, evaluate issues and selected issues in five stages; (2) cognitive structure of students of mathematics, mathematical problem attitude, self-efficacy and ways of thinking affect the internal factors of the problem of their mathematical ability; mathematics teacher's concept of education, the creation of the learning environment, teaching strategies and methodology of the proposed mathematical problems guidance is to affect students' mathematical problem proposed capacity external factors. 5, the source of mathematical problems are mainly the following three aspects: the objective world, mathematics itself, and the intersection of mathematics and other disciplines; way of thinking in mathematical problem can be divided into abstract method, Lenovo, induction and basic way of thinking and change attributes law and way of thinking. To train and improve the ability of students to mathematical problem, you need to do the following: to ensure the autonomy of the students in the mathematics learning activities; strengthen mathematical thinking method of teaching, develop good mathematical cognitive structure, to improve students' thinking quality; creation of problem situations; specialized training on mathematical problem.

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CLC: > Culture, science,education, sports > Education > Secondary education > Subjects teaching methods, teaching aids > Mathematics
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