A Study of Mathematics Learning Based on Aesthetic Mode of Knowing

• Main Authors: KU, CHIH-YU, 古智有
• Other Authors: CHOU, SHU-CHING
• Format: Others
• Language: zh-TW
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/6z67ne

博士 === 國立臺北教育大學 === 課程與教學研究所 === 106 === 　　The achievement of mathematics learning in Taiwanese students is double peak. High-achievers are not really interested in mathematics, low-achievers are negative in their attitudes and lack of confidence in mathematics learning. The cognitive way of rational inference orientation in the past is helpful for mastering mathematical forms and problem-solving skills. Therefore, it`s lack in-depth knowledge of mathematics` characteristics and the meanings. This study focus on using the way of aesthetic modes of knowing in mathematics learning, students feel the beauty of mathematics through the feeling and perception in the process. Then, students gain the aesthetic experience in the learning process, also get promotion with both cognition and attitude. 　　Aesthetic modes of knowing is to guide students to gain the information of mathematics through the sensual experience. According to the content and structure of perception information integrated mathematics, students assign the meanings. Cognition through the combination of perceptual and rational thinking, students have more understanding on mathematical characteristics and knowledge, also promoting the affective domain. Therefore, researcher conducted a two-year mathematics teaching based on aesthetic of knowing, and did the research on 8 students with different learning achievements in a senior class of elementary school. The study is to understand the learning mathematics process by exploring the method based on aesthetic modes of knowing, and to explain the beauty of mathematics they could find and the aesthetic experience gained in the process. The results as follows: 　　1. In the learning mathematics process, the students can use the intuition, perception, and imagination to learn mathematics, think about mathematics problems through observation and understanding of mathematics characteristics, and students solve the problem quickly. 　　2. The application of method based on aesthetic modes of knowing can be master through the repeated exercise. The students with higher achievement on mathematics learning can utilize the intuition, perception, and imagination more comprehensively. 　　3. Through the application of method based on aesthetic modes of knowing, the students can discover simple beauty of mathematics in the discussion of the solution approach of mathematics; through the process of exploring mathematical problems, the students can find that mathematical concepts have harmonious beauty; through the mathematics history, examples in living. The students can feel the mysterious beauty of mathematics. 　　4. Using the method based on aesthetic modes of knowing to learn mathematics, the students get the achievement of learning via active exploration, and then come out the aesthetics feeling experience. The students with higher achievement on mathematics learning can discover the beauty experience of knowledge because they have much more deep or higher understanding on mathematics. 　　5. Through the learning and application of method based on aesthetic modes of knowing, the students try to use the known to solve the unknown with the attitude and habit of active exploration. Students have the confidence in solving the problem, and also keep positive attitude in mathematics learning. 　　The study expects the mathematics learning return to the original state. Students can integrate the content, form and structure of mathematics through the intuition, perception, and imagination. And then students assign the meanings, coming out the emotion, and developing the ability of understanding mathematics. Students can grasp the key of solving problem by understanding the beauty of mathematics, and keep the passion on mathematics learning.