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History Of Mathematics Into The Secondary School Mathematics Problem Solving Teaching

Posted on:2010-12-28Degree:MasterType:Thesis
Country:ChinaCandidate:M Q LiuFull Text:PDF
GTID:2190360275955339Subject:Mathematics Curriculum and Pedagogy
Abstract/Summary:PDF Full Text Request
Many front-line teachers pay much attention to the history of mathematics in teaching role from the last century 80's..Mathematical history on the educational value of the article is also an endless stream.However,the article providing specific practice is rare,and the Study of mathematical history in problem-solving teaching application even less,In the only research the significance and the feasibility of mathematical history in problem-solving teaching have been studied only,etc.In classroom teaching,the way of teachers teachin mathematical history strictly accordancing to the textbook,and teachers lacking of mathematical history knowledge,so the knowledge teaching is quite inflexible,teaching way is solely and owes vividly,Eventually it leading to knowledge of the history of mathematics teaching has become a "trick"interlude.Mathematical history and problem-solving hold the important status in today's middle school mathematics.To study mathematical history how to be applied in mathematical problem-solving teaching,In order to achieve the promotion of students to learn how to solve the problem.Both ancient and modern knowledge should be done further research In this paper,the actual situation and conditions are unified,Studying the following questions:Firstly,According to the requirements about mathematics teaching objectives to mathematics problems and mathematics problem-solving of the middle school,the theoretical basis of mathematical history into the middle school problem-solving teaching is discussed,also the influence factor of problem-solving study.Secondly,From several aspects:creative thinking ability for a purpose,Mastering the mathematical way of thinking,Stimulating interest in learning,Molding sentiment,the function of mathematical history into problem-solving teaching in the middle school is detailed.Thirdly,According to the relationship between mathematical history and secondary school mathematics,the main principles of mathematical history into problem-solving teaching are explored,and the main teaching methods and strategies about the application of mathematical history into problem solving.Fourth,Rich way of thinking contained in history of famous topics is analysised,and six types about combining famous topics in history and secondary mathematics problem-solving are listed.Finally,Three typical cases about mathematical history into the middle school mathematics problem solving are analyzed.Through the research of mathematics in problem-solving applied teaching.We may stand in a higher angle of view to mathematics problem-solving teaching,makeing us even more understand the importance of mathematics education,even more understand that history of mathematics and mathematics culture are an inalienable whole,even through the history may understand the mathematics's difficulty and the cognition process,providing reference for the teaching material compilation,and so on.The author links to own teaching reality,through the concrete case's design and the implementation,having made some discussion in some theories and the practice to the history of mathematics in problem-solving's application,Expectating to give Strength to our country's mathematics curriculum reform.
Keywords/Search Tags:mathematical history, problem-solving, thinking method, famous topics in history
PDF Full Text Request
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