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Research On The Strategy Of Integrating The History Of Mathematics Into The Teaching Of Conic Section

Posted on:2017-10-27Degree:MasterType:Thesis
Country:ChinaCandidate:Y K WangFull Text:PDF
GTID:2347330488469255Subject:Rural Education
Abstract/Summary:PDF Full Text Request
Senior Secondary Mathematics is a prelude to the foundations of mathematics,mathematics teaching we should strengthen students' self-learning ability, advocates learn and use, so that students master the skills and methods to solve problems.Textbooks from now permeate all aspects of the history of mathematics, to improve student interest in helping students to identify problems, to solve problems to provide new ideas, foster innovation. In order to better enable students to learn mathematics,problem-solving ability to control, and the history of mathematics in Mathematics Education is particularly important.Conic section is very important module in high school mathematics, teaching how to do in this regard is worth our consideration. Deep excavations history of mathematics, applied to the history of mathematics teaching, mathematics teaching can promote the effect and better achieve the teaching goals, enhance the overall quality of students, to lay the foundation for future talents. Contains the history of mathematics mathematician ideas and ways of thinking, learn from their minds and help us to improve the formation of new ideas, which is a shortcut to learning, into the history of mathematics is one of the new curriculum idea mathematics teaching.Contains the history of mathematics teaching is a major attraction, how to apply good history of mathematics material is a challenge for teachers, the issue of this paper is: How to the history of mathematics teaching into the conic ? Around this central issue is divided into three sub-problems:Firstly, what is the principles of the history of mathematics teaching into the conic?Secondly,What is the strategies of the history of mathematics teaching into the conic ?Thirdly, How to design the programs of the history of mathematics teaching into the conic ?On the basis of literature data on the summed up the history of mathematics into the conic six teaching strategies: the use of a first ellipse defined historical discovery leads to the definition of an ellipse, the use of mapping history Dandelin explained the first definition of the ellipse, use analytic geometry ideas derived conic alignment properties, synthetic explore the nature of the use of conic tangent trajectory usingconic on propositions to consolidate the idea of analytic geometry, analytic geometry use the idea to prove the optical properties of the conic. In the synthesis of exploring the nature of the use of conic tangent trajectory of analytic geometry and use of the idea of proof conic optical properties of the policy introduced, given for use as reference method steps are illustrated.According to these two programs teaching strategies prepared, namely "Ellipse tangent" and "Hyperbolic special analytical equations". Pay attention to the preparation of the history of mathematics into the four principles of mathematics teaching: Scientific Principles; practicality principle; interesting principle; the principle of universality.Finally, teaching and preparation of mathematics textbooks are respectively to mention three suggestions.
Keywords/Search Tags:history of mathematics, analytic geometry, conic section, integration strategy
PDF Full Text Request
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