论开放题的数学教育价值.doc

论开放题的数学教育价值


目        录
摘要 2
Abstract 3
1数学开放题的界定 4
1.1答案不确定的问题 4
1.2条件不完备、结论不确定的问题 4
1.3条件开放 、结论开放、策略开放的问题 4
2数学开放题的分类 4
2.1依据解题目的分类 4
2.2依据命题要素分类 4
2.3依据开放度分类 4
3数学开放题的功能 4
3.1背景开放题有利于考查实践应用意识 5
3.2步骤开放题能考查逻辑推理能力 5
3.2.1条件开放 5
3.2.2结论开放 5
3.2.3条件、结论任意开放 6
3.3图形开放题有利于考查想象创新能力 6
3.3.1图形表意有利于表达创新 6
3.3.2图形辅助可善取最佳效果 7
3.3.3图形千变有利于获得丰硕成果 8
3.4策略开放题有利于考查发散性思维能力 8
3.5综合型开放题有利于考查综合运用能力 9
4开放题的数学教育价值归总 9
4.1 体现多元评价和建构教学的思想 9
4.2有利于培养学生的创新意识和创造能力 10
4.3有利于学生非智力因素的培养和学困生的转化 10
4.4有利于营造民主、合作、和谐的教学氛围,突出学生的主体地位 10
4.5有助于教师教师素质的提高和持续发展 11
5参考文献 12

摘要
    数学开放题是20世纪70年代出现的一种新题型，目前不仅已成为数学教育领域聚焦的热点，而且也已成为数学教育领域研究的亮点，被认为是当今最富有价值的题型之一。数学开放题是指那些答案不唯一，可以从多方面、多角度、多层次进行探索，给解题者在主观上留有较大自由度和思维空间的数学问题。数学教育的根本目的是培养学生的各种数学能力。在数学教育中,开放型题具有重要的数学教育价值，对于激发学生学习的兴趣, 训练学生数学建模的方法, 培养学生的发散思维能力等都具有重要的意义和作用。
关  键  词: 数学开放题，探索，数学能力，数学教育价值

Abstract
Mathematics opening topic is one kind of new topic which the 1970s appeared, not only at present has become mathematics educational fields focusing the hot spot, and has also become mathematics educational fields research the luminescent spot, was considered that is now one of richest value topics. Mathematics opening topic is refers to these answers not to be only, may from various, the multiple perspectives, multi-level carry on the exploration, subjectively leaves leeway the great degree-of-freedom and the thought space mathematics question for the problem solving. The mathematics education's primary purpose raises student's each mathematical skill. In mathematics education, the open-type topic has the important mathematics educational value, regarding stimulates the interest which the student studies, trains the student mathematics modelling the method, raises student's radiation power of thought and so on has the vital significance and the function.
Key  words: Mathematics open topic, explore, mathematical abilities, mathematics education value.