| The 2017 edition of the "High School Mathematics Curriculum Standards" emphasized that in the era of "Internet+".Teachers should use information technology to optimize classroom teaching and change the way of teaching and learning.Using information technology to "Do Maths" is a new path for mathematics deep teaching in this era.Trigonometric functions play an important role in high school textbooks.Taking the mathematics textbook of PEP A version as an example.The trigonometric function unit has the characteristics of close connection between knowledge and strong integrity.Which is suitable for the overall unit teaching design.The combination of algebraic operations and geometric intuition is the main line of the trigonometric function unit.The powerful visualization function of GeoGebra determines that it has advantages in the teaching of trigonometric functions.The study discusses 3 questions: 1.What model should the teaching design of trigonometric function units be based on in a GeoGebra environment? 2.What content in the trigonometric function unit is suitable for teaching with GeoGebra micro-experiments? 3.What is the effect of the trigonometric function unit teaching in a GeoGebra environment?The research process of this study is as follows:(1)By reading relevant literature,get the current research status of mathematics teaching based on GeoGebra at home and abroad.Go through TPACK theory,related theories of mathematics unit teaching design,multi-representation and cognitive load theory.Enrich the researcher’s CK and PCK about trigonometric functions.(2)Construct a mathematical unit instructional design model integrating technology based on the theoretical framework of TPACK.Establish principles of instructional design for mathematics units that integrate technology.(3)Under the guidance of the mathematical unit teaching design model integrating technology,analyze basic elements,integrate technology to design micro-experiments.Carry out trigonometric function unit teaching design.(4)Implement the teaching.Evaluate the teaching by class observation,questionnaire survey and unit test.Finally,carry out the teaching reflection and propose the improvement plans.The study finds that:(1)The TPACK theory and the concept of unit teaching design provide new ideas for the integration of information technology and mathematics teaching design.The mathematical unit teaching design model of integrated technology constructed on this basis is feasible.And it is suitable for trigonometric functions and mathematics in the GeoGebra environment.The in-depth integration of information design technology is instructive.Teachers need to have a wealth of CK,PK and TK.And organically integrate the three in order to complete the teaching design of deep integration technology.(2)Considering the analysis of the integration stage and the development of lesson examples.The contents suitable for teaching with GeoGebra micro-experiment include:arbitrary angle,radian measure,the concept of trigonometric functions,induction formula,the graph of trigonometric functions,the graph of y=Asin(ωx+φ)and the application of trigonometric functions.(3)The trigonometric function unit teaching in the GeoGebra environment can achieve the unit teaching objectives better,improve the enthusiasm of students in class,and cultivate students’ interest in learning and using information technology. |
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