論開放題的數(shù)學(xué)教育價值


目        錄
摘要 2
Abstract 3
1數(shù)學(xué)開放題的界定 4
1.1答案不確定的問題 4
1.2條件不完備、結(jié)論不確定的問題 4
1.3條件開放 、結(jié)論開放、策略開放的問題 4
2數(shù)學(xué)開放題的分類 4
2.1依據(jù)解題目的分類 4
2.2依據(jù)命題要素分類 4
2.3依據(jù)開放度分類 4
3數(shù)學(xué)開放題的功能 4
3.1背景開放題有利于考查實踐應(yīng)用意識 5
3.2步驟開放題能考查邏輯推理能力 5
3.2.1條件開放 5
3.2.2結(jié)論開放 5
3.2.3條件、結(jié)論任意開放 6
3.3圖形開放題有利于考查想象創(chuàng)新能力 6
3.3.1圖形表意有利于表達(dá)創(chuàng)新 6
3.3.2圖形輔助可善取最佳效果 7
3.3.3圖形千變有利于獲得豐碩成果 8
3.4策略開放題有利于考查發(fā)散性思維能力 8
3.5綜合型開放題有利于考查綜合運用能力 9
4開放題的數(shù)學(xué)教育價值歸總 9
4.1 體現(xiàn)多元評價和建構(gòu)教學(xué)的思想 9
4.2有利于培養(yǎng)學(xué)生的創(chuàng)新意識和創(chuàng)造能力 10
4.3有利于學(xué)生非智力因素的培養(yǎng)和學(xué)困生的轉(zhuǎn)化 10
4.4有利于營造民主、合作、和諧的教學(xué)氛圍,突出學(xué)生的主體地位 10
4.5有助于教師教師素質(zhì)的提高和持續(xù)發(fā)展 11
5參考文獻(xiàn) 12

摘要
    數(shù)學(xué)開放題是20世紀(jì)70年代出現(xiàn)的一種新題型，目前不僅已成為數(shù)學(xué)教育領(lǐng)域聚焦的熱點，而且也已成為數(shù)學(xué)教育領(lǐng)域研究的亮點，被認(rèn)為是當(dāng)今最富有價值的題型之一。數(shù)學(xué)開放題是指那些答案不唯一，可以從多方面、多角度、多層次進(jìn)行探索，給解題者在主觀上留有較大自由度和思維空間的數(shù)學(xué)問題。數(shù)學(xué)教育的根本目的是培養(yǎng)學(xué)生的各種數(shù)學(xué)能力。在數(shù)學(xué)教育中,開放型題具有重要的數(shù)學(xué)教育價值，對于激發(fā)學(xué)生學(xué)習(xí)的興趣, 訓(xùn)練學(xué)生數(shù)學(xué)建模的方法, 培養(yǎng)學(xué)生的發(fā)散思維能力等都具有重要的意義和作用。
關(guān)  鍵  詞: 數(shù)學(xué)開放題，探索，數(shù)學(xué)能力，數(shù)學(xué)教育價值

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.