Font Size: a A A

Research On Geometer’s Sketchpad3D Tool Design High School Three-dimensional Geometric Plot

Posted on:2013-10-30Degree:MasterType:Thesis
Country:ChinaCandidate:X ZongFull Text:PDF
GTID:2247330371988604Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
China’s "high school mathematics curriculum standards (trial version)," pointed out,High school mathematics curriculum should promote the using of information technology to present the course which content is difficult to show in the previous teaching, strengthening the combination of mathematics teaching and ITSolid geometry is to further develop the main carrier of the students’concept of space and spatial imagination. The object of the three-dimensional geometry is more abstract graphics and spatial form. To learn three-dimensional geometry well, students not only need strong spatial imagination, but aslo the mutual conversion and translation between the characterization of the graphics,text and symbols, so it has always been a "stumbling block" of student learning.Studies have shown that, learning three-dimensional geometry using traditional teaching media or tools is more difficult. The application of dynamic mathematics software such as geometer’s sketchpad to design integratedware assists teaching, that may be an effective strategy.This study attempts to cut from the geometry sketchpad and learning concepts of multivariate characterization. First is an overview of relevant research which points out the basic functions and features of the geometer’s sketchpad. The functions and features are the design of the geometer’s sketchpad follows the mathematical theory and geometer’s sketchpad can make the mathematical object and the key cognitive process specific, clear, visible, that include the abstract concreted, microcosmic macroed, static dynamiced, distant closed up, conceal dominanted, random regulated, unlimited limited.Then, this paper explores the principle of optimization of the geometer’s sketchpad to design three-dimensional geometric integratedware that bases on the optimization of the learning concept of multi-Characterization.The principles are the principle of information packaged, principle of spatial proximity, he principle of time is drawing near and the principle of consistency.Finally, this paper illustrates the application of geometer’s sketchpad3D tools to design three-dimensional geometric integratedwares from three aspects of basic teaching analysis,basic production process and the basic principles and applications of integratedwares in the form of cases.The integratedwares are designed from the positional relationship of the geometry of space, point, line, surface, space vector, ball, conic, and two classic three-dimensional geometric problems answer, etc. These cases and problems are incurable diseases in the three-dimensional geometry. I hope the integratedwares can make some theoretical and practical value in assisting three-dimensional geometry teaching.
Keywords/Search Tags:multivariate characterization, Geometer’s Sketchpad3D tools, three-dimensional geometry, integratedwares
PDF Full Text Request
Related items