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Two students in geometric proofs cognitive error analysis and teaching strategy

Author: LuChen
Tutor: WangXiong
School: Shanghai Normal University
Course: Education
Keywords: Geometric cognitive errors Teaching strategies Diagrams Lenovo force Reflection
CLC: G633.6
Type: Master's thesis
Year: 2011
Downloads: 193
Quote: 0
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Abstract


Plane geometry teaching junior high school mathematics teaching focus is also critical to develop students' logical reasoning ability. But with the higher grades, geometry learning difficulty gradually improve students clearly felt that the geometry learning difficulties, especially in the reasoning of the first day and learn geometry up to the first two days of argument on the geometric phase is more prominent. Most of the existing research on plane geometry learning geometry, geometric proof of the method of comparison of all levels of students geometric cognitive differences, but less analysis of the specific reasons for geometry difficult for students, and no student geometry learning difficulties teaching coping programs and strategies. For the above, this study analyzed students' cognitive errors in geometry learning, and on this basis, targeted implementation of teaching strategies. The study used a qualitative analysis method to analyze the questionnaires and the geometry of the geometry test high school students learning cognitive status. The study identified the following students geometric cognitive Error Type: the analysis concluded habits lack; false conditions are wrong; Lenovo ability is not enough; three languages ??conversion is not in place; knowledge map is not strong. Lenovo the students learning geometry cognitive errors, this study take the following teaching strategies to correct cognitive error: Looking certificate topic and ideas Training (according to the \force training (empirical Lenovo - graphical features added from a sports point of view and still angle guides, intellectual Lenovo to add auxiliary line variant Training - according to the characteristics of the subject knowledge), to correct \training (based on in-depth analysis of the text proposition to identify critical information, to sort out the problem set and conclusions, draw graphics, and translated into sign language) to correct three languages ??conversion is not in place \(a condition of the subject mark and complex graphics decomposition, to comprehend the complex graphics that are inherent in the basic graphics), the correct knowledge map is not strong; reflection ability (in every learning activities timely sum up experience experience, used to adjust the learning strategies) to correct analyzed habits lack. Summary according to the students to reflect on the experience, interviews and before and after the experiment geometry academic control study, the study concluded that: students extract geometry cognitive reflection, teachers develop and implement effective teaching measures to enhance students' geometric argument The ability of great help.

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