中學數(shù)學函數(shù)思想探析

趙勝

摘 要 函數(shù)思想是最基本的數(shù)學思想之一，函數(shù)是中學數(shù)學的核心內(nèi)容，它貫穿整個中學階段。了解與掌握函數(shù)思想，能讓學習者領(lǐng)悟數(shù)學的真諦，增強學習者學習數(shù)學的積極性，幫助數(shù)學學習；同時也是新一輪課程改革的基本要求。文章通過對函數(shù)思想的重要性進行了分析，從函數(shù)思想在中學數(shù)學中的應(yīng)用、數(shù)學教學中如何滲透函數(shù)思想進行論述，從而達到對函數(shù)思想在中學數(shù)學中的全面認識。

關(guān)鍵詞 中學數(shù)學 函數(shù) 函數(shù)思想

中圖分類號：G424 文獻標識碼：A DOI：10.16400/j.cnki.kjdkx.2017.04.052

An Analysis of the Thought of Mathematical Function in Middle School

ZHAO Sheng

（Zhanyi Area No.3 Middle School， Qujing， Yunnan 655331）

Abstract Function thought is one of the most basic mathematical ideas， function is the core content of middle school mathematics， it runs through the entire secondary school. Understanding and mastering the function thought can help the learners to understand the true meaning of mathematics， enhance the enthusiasm of the students to learn mathematics， and help mathematics learning. This paper analyzes the importance of the function of thought， from the application and function thought in mathematics teaching in high school mathematics teaching how to penetrate the function of thought were discussed， so as to achieve the function of ideological understanding in middle school mathematics.

Key words middle school mathematics； function； function thought

函數(shù)思想是在數(shù)學的發(fā)展史中形成的，它是人們對函數(shù)知識的本質(zhì)性認識，來源于函數(shù)的基礎(chǔ)知識，它在中學數(shù)學教學中起著重要的作用，是教材體系的靈魂。在中學數(shù)學函數(shù)教學中，加強函數(shù)思想教學可以幫助學生更好地理解函數(shù)知識、形成正確的教學觀念和優(yōu)秀的數(shù)學精神；它是落實素質(zhì)教育的有效途徑和重要手段；還可以提高教學質(zhì)量與教學水平；有利于培養(yǎng)學生的辯證唯物主義能力與函數(shù)應(yīng)用能力。隨著數(shù)學教育的改革與發(fā)展，中學數(shù)學函數(shù)思想日趨凸顯，從事數(shù)學教育以及一些數(shù)學學習者越來越認識到函數(shù)思想的重要性。函數(shù)是支撐中學數(shù)學的骨架，是中學數(shù)學最重要的內(nèi)容之一，貫穿整個中學階段。從歷年中考、高考的情況來看，以函數(shù)為核心編制的題目立意新穎，知識覆蓋面廣，靈活性較強，有比較理想的選拔功能。所以函數(shù)思想有極高的研究價值。……