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The Practice and Research of Mathematical Conjecture Teaching

Author: HouYuePing
Tutor: YangChunHong
School: Hebei Normal
Course: Subject Teaching
Keywords: Mathematical conjecture Teaching
CLC: G633.6
Type: Master's thesis
Year: 2011
Downloads: 111
Quote: 0
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Abstract


Mathematical conjecture based on some mathematical knowledge and mathematical facts , unknown quantities and their relationships to make plausibility judgments, scientific hypotheses embodied in mathematics , mathematical conjecture is a latent form of mathematics , mathematical theory of the pilot . Facts have proved a major breakthrough of the mathematical theory , often originated in the a purposive deep conjecture . For example , the famous Four Color Conjecture , the Poincare Conjecture . Four Color Conjecture by the British Funanxisi · Guthrie came to a scientific research units to engage in the map coloring work , found an interesting phenomenon : each map coloring is available in four colors , so that countries with common borders are significantly different colors . This phenomenon can be strictly proved mathematically ? This conjecture experienced the hundred years by the Americans proved by computer . It proved to develop a mathematical calculation skills , enrich the contents of the graph theory . We can find a lot of mathematical guess the proof will promote or extend a new branch of mathematics . Mathematical conjecture has a very important role in the development of people's thinking , especially in the development of creative thinking . In our traditional teaching the mathematical conjecture ability and very missing, therefore , need to focus on the a mathematical conjecture ability students . According to the teaching practice that middle school teaching process should increase the the mathematical conjecture teaching component , and advocate mathematical conjecture teaching , you can guess as a way of mathematics learning . This paper first introduces the meaning of a mathematical conjecture , and students ' mathematical conjecture and verify the ability to do the investigation , and the type of mathematical conjecture made ??concluding given instance . Then , according to the teaching practice , to discuss the significance of the mathematical conjecture teaching and instructional design . Tells the story of how a mathematical conjecture teaching specific cases . Finally, a summary of the teaching of mathematical conjecture and assumptions .

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