A Case Study Of Conic Teaching Design Based On ACT-R Theory

The conic curve is a geometric model commonly used in high school mathematics.It is an important carrier for infiltrating the combination of numbers and shapes and implementing intuitive imagination.It is the top priority in the field of plane analytical geometry.When solving problems related to conic curves,students often encounter difficulties such as many formulas confusion,inability to choose correctly due to many types,too comprehensiveness and no way to start.The main reasons for this analysis are that students lack a good learning process,and stay more in instrumental understanding than in relational understanding.In order to explore the effective teaching model of conic curve,optimizing teaching design and improving teaching efficiency have become urgent needs.ACT-R theory is a kind of cognitive learning theory.The main point of view is that the learning of any knowledge mostly starts with the declarative stage,and after the programmed stage,the end reaches the automated stage.The study is based on the ACT-R theory,taking the chapter of the conic curve as an example to study its teaching design and discussing the general ideas and methods of the teaching design of the conic curve of the high school based on the ACT-R theory.The main question of the research is how to apply the ACT-R theory to the conic curve teaching based on the teaching design?Based on the literature and case analysis,the main conclusions of the study are as follows.First of all,the teaching principle of conic curve based on ACT-R theory is proposed.Secondly,according to the ACT-R theory,the three stages and eight links are summarized: introducing reasonable examples and extracting relevant knowledge;informing learning goals,directing and guiding analysis;decomposing the goals layer by layer and exploring applications strategy;strategy reflection,forming new declarative knowledge;knowledge coding,forming preliminary rules;exquisite exercises,synthesizing complex rules;production conditions and problem context matching;production rules automation and problem solving.Thirdly,the ellipse and parabola are used to analyze the case using the established teaching process.It is hoped that this research will cause the first-line teachers to understand students' cognitive laws.Pay attention to provide reference for the teaching design and effective teaching of conic curve.Based on the research conclusions,the teaching suggestions for conic curves are given.Reasonable examples are selected to obtain the concept of conic curves.In order to deduce the equations of conic curves,the target is decomposed layer by layer.The sophisticated exercises are designed to distinguish the properties of conic curves.It's a good idea to use models of conic curve after analyzing the problem situation.