Case Study Of HPM Teaching Supported By Information Technology

With the deepening of mathematics curriculum reform,more and more attention has been paid to the integration of mathematics history and mathematics education.However,the educational value of the integration of mathematics history and mathematics education in cultivating students' mathematics thought,spirit,willpower and scientific method is far from being developed.The development and application of information technology provides a new way and possibility for the history of mathematics to be integrated into the mathematics classroom.Technology promoting the development of thinking has become a new research direction of information intelligence classroom.The purpose of this study is to explore the design and implementation of mathematics teaching integrated with the history of mathematics under the support of information technology,fully excavate the educational value of the history of mathematics,visualize the process of mathematical thinking,and optimize the classroom teaching of mathematics.This study selects " the parity of functions " and "radian " as the research objects,sorts out and analyzes related historical mathematics,and draws on the " the principle of historical similarity" for education-oriented processing and innovation:(1)The parity of functions,sort out how mathematicians defined and named in history,and then use the intuitiveness and visualization of the geometric sketchpad to guide students to classify and discuss,so as to summarize and discover the origin of odd and even functions,and point out the relationship between their exponents.Thoroughly explained the "why in history";(2)For the teaching of the radian,the dynamic nature of the geometric sketchpad is used to guide students to discover that although the arc length facing the same central angle changes with the radius,the arc length and radius The ratio of is constant,and it can be used as a measure to naturally lead to the concept of the radian.Demonstrate the "tape ruler" model through the geometric sketchpad to deepen students' understanding of the use of arc length to measure angles.Based on the analysis of classroom teaching,questionnaire survey and interview results,it is concluded that the use of information technology's intuitive and dynamic characteristics can better integrate the history of mathematics into teaching and present it,and it is more attractive,creating a good learning atmosphere;students are very interested in this dynamic form of presentation,which can promote students' enthusiasm for thinking;with the support of information technology,students can experience the generation,development and formation of knowledge to a certain extent,which can better promote the development of mathematical thinking ability.