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    發新話題
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    高中生如何利用錯題本做好數學錯題整理?

    高中生如何利用錯題本做好數學錯題整理?

      在學習數學的過程中,很多人將數學成績不好歸結為腦子笨反映慢,沒掌握方法,或是沒興趣,基礎差等。其實數學作為一門自然學科,并不是那么高深的學科,對智力腦力的要求并沒有科研那么高,所以學好數學并沒有那么難。
      然而現實過程中很多學生數學學的不好,雖然情況各式各樣,遇到的問題也不盡相同。但不會進行有效的錯題整理是很關鍵的原因。
      第一點---“錯在哪里”
      做了很多題目,考了很多試卷,分數高高低低,錯了還是錯,是否有認真想過自己“錯在哪里”,舉個例子,很多高一學生反應函數題目太難,寫不好,每每遇到這種問題,我都要求把問題說仔細一點:究竟是“函數的值域不會求?還是”函數的單調性奇偶性不會用,或是抽象不等式不會解?圖像不會畫?也就是說,你得明白自己究竟是哪個知識點不會?方法不會?算不出來?易錯點沒考慮到?
      想要做好錯題整理,首先必須明白自己哪些地方不會,目的性必須強,然后才能往下做。
      第二點---“錯題該整理什么?”
      很多學生和家長認為錯題整理就是把錯題抄一遍,把正確答案寫上去,相當于小學的抄題訂正。其實不然,高中數學很多知識點,很多題型都有相通之處,大的方面有數學思想相通,小的方面有知識點,解題方法相通,真正的錯題整理不在形式,不在抄題,而在錯題的橫向比較和縱向延伸,如何比較?如何延伸?
      第三點---“錯題的橫向比較和縱向延伸”
      說到這一點,很多學生剛開始沒法接受,那是因為學生見識的題型太少,知識面太窄,橫向比較,一句話就是:把某一章節的錯題都做個比較,看自己問題出在哪里?是題型見識太少導致錯,還是定義理解不透導致錯誤,還是運算粗心導致錯?縱向延伸指的是,某一道題錯了,不單單要寫出正確答案和錯的原因還得把這道題相關的知識點,更重要的是一定要寫出這道題目所涉及的考點,出題方式,變型題目,易錯點,其他的解法?
      有關錯題本的建立和使用這里有幾點建議:
      1、分類分科目建立,錯題一律記,同時分析出現錯誤的原因,錯誤原因不能簡單的寫忘記了,或者說馬虎了,忘記馬虎是知識點不牢固的表現。然后用紅筆把正確的思路和解題過程完整地寫在錯題本上,并把自己的反思、感悟寫在過程后面。
      2、做題的過程中拿不準、蒙對的、猶豫或者花了長時間才做出的題也要記錄在錯題本上。
      3、還要記錄一些經典題型、思路巧妙、綜合性強的題目。
      4、隔段時間錯題重新再做一遍,然后瀏覽一下以前做錯的原因,對比一下現在的思路和以前的思路有什么區別,看看自己走沒走出以前的思維陷阱,從而避免再次犯錯。
      5、隔一定時間(如三天或一周)再回去翻閱錯題,直到我們對錯題完全理解、思路很清晰,確定自己已完全掌握,就可以在那道錯題旁邊做個標記,提示自己以后不用再去重復看這道題了。
      6、錯題本也可以和其他同學相互交流,每個人做的錯題本都不一樣,收集的錯題、典型題、思路巧妙的題也都不一樣,可以從不同的錯題本中吸取經驗教訓,學習到更多的對自己有用的東西。
      在建立錯題本的初期是一個非常痛苦的階段,因為這要花費很多時間和精力同時也很枯燥,但是建立錯題本并不是短期的事情,心血來潮做一兩天錯題本是收不到任何效果的,一定要長期持久的投入,貴在堅持,只有持之以恒才能和錯題本成為真正的好朋友,而過了初期之后這些時間和精力的投入絕對是一本萬利,建立錯題本是一個對知識反復思考和認真整理的過程,是一個有針對性查缺補漏的過程,也是將解題思路類型化的過程,是對所學知識升華的一個過程。
    我的終極目標:考啥啥會,蒙啥啥對!

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