This project is mainly to analyze the difficult factors of middle school students in algebraic operations from the two aspects of the subject nature of mathematics and cognitive learning, and then, with the support of digital tools, construct a middle school algebraic digital learning system with the main content of the middle school algebraic operation unit. , And explore the effect of different representations on the learning effects of algebraic topics such as algebraic operations and polynomial multiplication for middle school students, and the direction for subsequent improvements and revisions of digital learning systems. The main findings found that: (1) The process of performing algebraic operations through metaphorical gestures can help students master the concept of the process of algebraic operations; (2) The process of performing metaphorical gestures through gestures can help low learning Achieve students to master the basic concepts of algebraic operations and calculation procedures (3) Through the metaphorical gesture display process, it will help students with high learning achievements to deeply understand the process concepts and transfer applications of algebraic operations; (4) In the more complex calculation procedures In polynomial multiplication, providing metaphorical operations will enable students to master the basic concepts and operations of polynomial multiplication better than using animation or images to illustrate; (5) For students with low learning achievement, through metaphorical operations Operation helps them to master the basic algorithm of polynomial multiplication; (6) For students with high learning achievement, metaphorical operation helps them to apply the algorithm of polynomial multiplication to related transfer problems. Based on the above research results, this project proposes design guidelines and teaching strategies for digital teaching from the nature and cognition of mathematics, so as to provide follow-up related research as a reference.
|Effective start/end date||2017/08/01 → 2021/07/31|
- algebraic operation
- dynamic visualization
- embodied cognition
- conceptual metaphor
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