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The Penetration Of The History Of Mathematics In The Teaching Of High School Calculus

Posted on:2013-06-14Degree:MasterType:Thesis
Country:ChinaCandidate:L PengFull Text:PDF
GTID:2247330374968995Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
Mathematics curriculum of secondary school reform take knowledge and skills, processes and methods, attitudes and values as mathematics education"three-dimensional"target.Mathematics curriculum of secondary school reform propose that teachers in the mathematics classroom teaching should strive to reflect the combination of "3D" target. History of mathematics permeating in mathematics teaching of secondary schools enable students to understand or better understand mathematical, discover and develope process and the resulting variety of mathematical thinking. In order to achieve secondary school curriculum reform philosophy, the penetrating history of mathematics in mathematics teaching in secondary schools is an important measure.The present stage of secondary school mathematics teaching specific content and how to rationally and effectively penetrate the history of mathematics content, is one of the hotspots of the ongoing study of mathematics curriculum reform.Calculus is an important part of the advanced university mathematics, but with the new round of high school curriculum reform, some basic knowledge of calculus has become an important content of the ordinary high school mathematics. Calculus includes differential calculus, integral calculus and its applications. The creation of the calculus is not only greatly promote the development of mathematics itself, but also greatly affected and promoted other disciplines, especially physics. Calculus impact on the production of human social life practice. The teaching of high school calculus is one of the important topic of today’s middle school mathematics curriculum and mathematics teaching research.Calculus based on the history of mathematics teaching is short of rulable program and most of them are theoretical program, short of empirical research. Therefore, the penetration of the history of mathematics in the teaching of high school calculus is imperativ. This paper described the history of mathematics used in secondary school mathematics teaching strategy from eight aspects.based on these eight strategies. This Paper taps the penetration of the history of mathematics in secondary school teaching of calculus and gives two specific teaching cases.This thesis is divided into five parts. The first part is the background and significance of the history of mathematics applied to mathematics education, including domestic and international research on the history of mathematics and including cognitive learning theory, constructivism learning theory for the history of mathematics applied to mathematics education provide the theoretical support. The second part, respectively, from two aspects of the curriculum and teaching introduce the current situation of high school calculus. The thirdly part describes the significance, characteristics and methods of this study. The fourth part gives the teaching strategies and methods about history of mathematics used in secondary school mathematics. Finally, in the form of case explains how to penetrate the history of mathematics in the teaching of calculus.
Keywords/Search Tags:history of mathematics, high school calculus, mathematicseducation, teaching strategies, teaching cases
PDF Full Text Request
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