Research On Teaching Action Of Logarithm And Logarithmic Function From The Perspective Of HPM

Logarithm and logarithmic function play an important role in high school mathematics teaching.It is not only a new and important function model after exponential function,but also widely used in real life and mathematics learning.The new curriculum reform attaches great importance to the value of mathematics culture in teaching,and the integration of mathematics history into mathematics teaching has become an important topic in today's mathematics teaching research.Therefore,the development of the complete history of mathematics into the logarithm and logarithm function teaching cases can not only add tiles to the field of HPM but also provide theoretical help for the teaching of front-line teachers.The main body of this paper adopts the action research method,integrates the history of mathematics into the teaching of logarithm and logarithm function.By using the methods of questionnaire,interview and classroom observation,this paper studies the influence of logarithmic and logarithmic function teaching on student's three-dimensional goals from the perspective of HPM,and provides some teaching suggestions for front-line teachers.Two conclusions can be drawn from the research:1.For the students: the teaching of logarithm and logarithmic functions from the perspective of HPM can not only promote students' cognitive understanding,stimulate students' interest,strengthen students' understanding of concepts,broaden students' horizons,and prevent students from having the wrong idea that the concept of logarithm comes from index,but also play a prominent role in emotional attitude and enhance the sense of national pride.2.For the teachers: By using logarithm table effectively,teachers can makes students understand the interest of logarithm to simplify the operation of big data and deepen the discrimination of concepts.Choosing a rich history of mathematics,so that students can realize the charm of mathematics and expand the understanding of logarithm.Give students enough space to explore the logarithmic function,so that students can feel the beauty of the function changes and strengthen the understanding of the nature of the function.