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“智慧數學”宣言
作者:陳士文 點擊數:5137 更新時間:2010年10月18日 文章錄入:陳士文
   

“智慧數學”宣言

智慧數學研究所    陳士文

 

數學是一種智慧。

數學是美的,其中蘊藏一種至簡至和的智慧。

數學不是符號、圖形的重復呈現,也不是定理、公式的復雜關聯。透過符號和圖形、定理和公式我們發現數學之美:簡潔、和諧。

我們的數學教育,是讓學生感受到數學之簡潔,而不是繁瑣;感受到數學之和諧,而不是怪異。我們的數學教育要使學生感受數學之妙而從中體驗審美,并建立數學的和諧觀、數學的結構觀。

數學是理性的,其中蘊藏一種至真至通的智慧。

數學的理性首先是一種“真”。在數學教育教學中,我們不能把數學的理性智慧簡單地理解成數學是機械的思維訓練,更不是單一的解題訓練,也不能使數學陷于瑣細淺層的生活實用。

數學的理性還具備“通”。我們的數學教育應感悟數學思想而從中學會思考,沐浴數學的理性之光,開拓數學的應用領域。否則學生將不會用數學的眼光觀察生活、理解生活、創造生活,那我們所進行的如同是教動物小熊做計算題的雜耍表演,而不是數學教育。

數學是自由的,其中蘊藏一種創造探索的智慧。

    數學的創造性智慧,源于它是一種創造性的活動,這種創造性不是推翻已有的大廈重建,而是在原有的基礎上添磚加瓦,即便是另立高樓,那也會在新樓與舊樓之間構造回廊。新樓、舊樓成為一體,數學大廈的根基更加牢固。

數學的發展史更是一種探索史。數學發展過程中不斷出現矛盾,尤有探索才能解決數學中的根本矛盾。數學史上曾發生過三次數學危機,每一次危機的發生都是數學智慧的生長,每一次危機的解決都是數學智慧的超越。

“數學是人類最高超的智力成就,也是人類心靈最獨特的創作。”(克萊因語)正是數學給了人類美的智慧、真的智慧、創造探索自由的智慧。

數學學習追求一種智慧。

    “智慧數學”的課堂旨在追求“一寰宇、縱橫分經緯,四面八方尋,數幾何?兩數字、正負顯乾坤,六色五顏去,形歸一”(智慧數學聯語)的境界。

【一寰宇】數學的教學設計要從整體出發,神龍見首又見尾,學生的數學智慧主要在課堂中“生長”,而不是教師直接的斬頭去尾式的“給予”。

【縱橫分經緯】數學的教學設計要從整體中走出,對渾然的世界用數學的智慧分解、分類、分化。

【四面八方尋】數學教學的思維活動要多向發散,不是一條道走到黑,而是尋找通向羅馬的條條大道。

【數幾何】數學致力探求宇宙的解,大千世界,氣象萬千,我們試圖用幾個“數”來描述。

【兩數字】數字“0”和“1”,是這個世界數學化的基本符號。

【正負顯乾坤】萬物的消長生息,我們用數學來探索朗朗乾坤的運行規律。

【六色五顏去】數學不研究“色彩”,不停留于知識累積,而致力于數學的抽象、生活智慧的提升。

【形歸一】九九歸一,我們追尋數學世界的簡潔、和諧、統一。

數學是科學之母,現代人更需要數學式思維,更需要數學的智慧。人們通過數學領悟世界的真諦,數學的對象和問題是不可窮盡的,數學之樹是常青的,數學的智慧是生長不息的,我們的數學教育對數學智慧的感悟也將是不止的。

   
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