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| 題 名 | 探討審美直覺在數學教學上的應用=The Broad Applications of Aesthetic Intuition to Mathematical Teaching |
|---|---|
| 作 者 | 陳硯還; | 書刊名 | 僑光技術學院通觀洞識學報 |
| 卷 期 | 1 民91.11 |
| 頁 次 | 頁119-130 |
| 分類號 | 310.3 |
| 關鍵詞 | 審美直覺; Aesthetic intuition; |
| 語 文 | 中文(Chinese) |
| 中文摘要 | 直覺是數學中領悟力的重要因素,在數學研究中產生發現或發明的能力。而審美直覺是人類無意識活動所形成的各種因素中與美感有關的因子,它包括和諧,秩序,奇異,簡單等審美因素,一旦這種因素被激發出來,它就有可能形成意識的行為和發展,有美感的人對所有事物的看法是多元的,美感對數學中的數與形的關係的掌握是敏銳的,能就形體中找到它的特性形成抽象的模式。審美直覺在數學上可分為五大類:(一)和諧性直觀(二)簡單性直觀(三)對稱性直觀(四)創造性直觀(五)奇異性直觀。這些審美直覺在數學探討及數學教學上的意義是深遠寬廣的,而過去教育只是強調解題技巧方面的鑽研未免太過偏狹,應針對當前教學目標、教學內容及教學方法力求改進,培養學生探索數學新知、審美、思辨、文化與理解的基本能力,增進數學知能,提昇欣賞數學的潛能,並融入藝術、科技與生活等各領域,進一步發展創造的能力。 |
| 英文摘要 | Intuition is an important element to the sudden realization while solving a mathematical problem. It is the ability that leads to a discovery or invention of new mathematic theories. Human form their intuitional aesthetic sense by integrating many related factors, such as harmony, order, difference, simplicity, etc., into this sense unconsciously. Once a person's aesthetic sense is activated, it may develop into a conscious behavior. A person with a good aesthetic sense has a multi-dimensional point of view toward things. He is very sensitive toward the relation between number and shape, and from the characteristics of a shape he may easily develop into an abstract model. There are five groups of aesthetic intuition in mathematics, namely, (1) intuition of harmony, (2) intuition of simplicity, (3) intuition of symmetry, (4) intuition of creativity (5) intuition of specialty. This aesthetic intuition can make broad applications in both research and teaching of mathematics. This research suggests that based upon one's teaching goals, a teacher could make use of contents and teaching methods to enhance students' basic abilities in the exploration of mathematic new horizons, its beauty, and to help students understand their analytical and cognitive process. By integration of the knowledge in arts, science and life, we can design a better syllabus to develop students' innate gift for the appreciation of the beauty of mathematics and to improve their mathematical abilities. |
本系統中英文摘要資訊取自各篇刊載內容。