Comparative Study On The Geometry Of Junior High School In Chinese And American Textbooks

Recalling the history of The Mathematics Education, Curriculum Revolution of junior high school has been focus on Geometry.However,Geometry is complexity and diversity and cause Curriculum Revolution some difficulties. This study chosen the two junior high school mathematics textbooks,one is PEP China and another is Mc Dougal Littel US,and analyze their similarities and differences in the part of geometry,moreover,try to explore how to design more in line with junior high school students thinking characteristic geometry courses.Geometry Course is an important and most different part of The Mathematics Education.In junior high school mathematics curriculum reform in recent years, changes in the geometry content issue has been the focus of particular concern to educators and dispute.In the field of view of international comparisons, with the support of different courses philosophy and curriculum objectives,the geometry curriculum but also has a very different presentation.In this study,author selected a representative of the junior high school mathematics textbooks that from China and the US: junior middle school mathematics textbooks(hereinafter referred to as PEP) and the Mc Dougal Littell US version of junior high school mathematics textbooks(hereinafter referred to as ML) as samples to which part of the geometric knowledge as a comparative content, combined with the US junior high school mathematics curriculum standards, textbooks from the presentation, content knowledge, and features three exercises set the general direction of the similarities and differences specific geometric analysis of two sets of textbooks portion, discuss their advantages and insufficient. By comparing the resulting conclusions to improve ourprogram to provide some reference geometry.The conclusions of the study are as follows:First, in terms of presentation materials, visual presentation from the point of view,the appearance of PEP, the main color in light tone, content, intuitive, clear plates, the design reflects the sense of science and science teaching rigor; ML US Edition more "heavy" reading large capacity, compact, bright and lively tone design, easy to attract readers attention, to stimulate interest in reading; choreography from structural point of view, these two versions have some differences in the geometric arrangement of the order of knowledge, but knowledge of geometry basically the same study on the main line.Second, in terms of content knowledge, breadth of knowledge from the point of view of materials, geometry knowledge ML US version of the materials involved more than the number of PEP, which covers a wide range of knowledge, richer information.From the point of view of textbook knowledge, the knowledge level of PEP digging deeper on the geometric part of the study on the level of thinking of the students put forward higher requirements.Third, in terms of setting the example, the two sets of textbooks with their own characteristics, reflecting the two different curriculum. PEP contained two or more examples of the amount of knowledge more and more exemplary; ML US version every example set appropriate theme, targeted more specifically, the use of scenarios and examples of creative disciplines specific gravity greater emphasis on math and real life are connected.Fourth, in terms of set exercises, exercises structure ML US version of the materials is more complex, feature-rich, large amount of questions, and exercises in PEP structure is relatively simple, different sections of clear functional exercises; exercises from the material point of view two sets of textbooks tend to set up a purely mathematical problem-based exercises, focusing on training students’ mathematical abstract thinking, and to the real situation as the background for the auxiliary exercises,and train the students the ability to abstract logical.Finally, by comparing the conclusions of this paper, write a few of our knowledge of geometry recommendations: First, we should enhance the readability of textbooks,emphasizing the link with the real-life mathematics, so that students in learning to fully feel the geometry significance and value; second, to strengthen the textbook knowledge of previous review and consolidate the domestic textbook review for knowledge appearsmostly in the form of exercises, textbook writers can think with more ways to provide students with knowledge opportunity to review and links; third, rich features exercises,Reflections from a variety of angles to help students of different levels of training and self-assessment.