【摘要】：數(shù)形結(jié)合是使抽象思維和形象思維相互作用,實(shí)現(xiàn)數(shù)量關(guān)系與圖形性質(zhì)的相互轉(zhuǎn)化,將抽象的數(shù)量關(guān)系和直觀的圖形結(jié)合起來研究問題的一種思想與方法,在科學(xué)研究中,具有普遍性。在查閱了大量文獻(xiàn)資料的基礎(chǔ)上,本研究概括了數(shù)形結(jié)合思想在數(shù)學(xué)、物理、生物、地理乃至語(yǔ)文、歷史等學(xué)科的應(yīng)用概況,并詳細(xì)闡述了數(shù)形結(jié)合思想在化學(xué)教學(xué)中的體現(xiàn)。通過問卷調(diào)查與教師訪談的方式,探查了對(duì)于數(shù)形結(jié)合的思想和方法的認(rèn)識(shí)及運(yùn)用情況。調(diào)查結(jié)果表明,僅是在化學(xué)解題中用到數(shù)形結(jié)合的方法；學(xué)生“以形助數(shù)”的能力要遠(yuǎn)遠(yuǎn)強(qiáng)于其“以數(shù)解形”的能力。為了充分發(fā)揮數(shù)形結(jié)合思想的教育價(jià)值,本研究將基于數(shù)形結(jié)合方法指導(dǎo)下的化學(xué)教學(xué)的表征策略劃分為概率圖、統(tǒng)計(jì)圖表以及解析幾何曲線方法三大類,并利用大量的案例加以闡釋,完善了教師對(duì)數(shù)形結(jié)合只用于解題的片面認(rèn)識(shí)。將教師在數(shù)形結(jié)合方面的碎片化的認(rèn)識(shí)進(jìn)行了系統(tǒng)闡述。
[Abstract]:The combination of numbers and shapes is a kind of thought and method that makes abstract thinking and image thinking interact, realizes the mutual transformation between quantity relation and graphic nature, and combines abstract quantitative relation with intuitionistic figure to study the problem. It is universal. On the basis of consulting a great deal of literature, this study summarizes the application of the idea of the combination of numbers and shapes in mathematics, physics, biology, geography and even Chinese, history and so on, and expounds in detail the embodiment of the thought of combination of numbers and shapes in the teaching of chemistry. By means of questionnaire survey and teachers' interview, this paper probes into the understanding and application of the thought and method of the combination of number and form. The results of investigation show that only the combination of numbers and forms is used in solving chemical problems, and the students' ability of "using form to help number" is much stronger than that of "solving shape by number". In order to give full play to the educational value of the idea of combination of numbers and forms, this study divides the representation strategies of chemistry teaching based on the combination of numbers into three categories: probability diagram, statistical chart and analytic geometry curve method. And use a large number of cases to explain, improve the teacher's one-sided understanding that the combination of numbers and forms is only used to solve problems. Teachers in the number-shape combination of fragmentation of the understanding of the system.
【學(xué)位授予單位】：天津師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：G633.8

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本文編號(hào)：2426789