Comparative Study On 'Number And Algebra' Between Chinese And American Junior Middle School Mathematics Textbook

To be one of the important parts of the primary and junior middle school education, the textbook has reflected the curriculum and the design idea quite really in certain stratification plane.Although the differences between China and the United States greatly, they have many aspect similarities in the junior middle school mathematics curriculum teaching domain. Comparison of Chinese and foreign education through literature summary research, may discover that the current mathematical research on the United States also focused on the basic goals of education at the macro level study of U.S. secondary school mathematics textbooks in micro-studies is uncommon. Looks over the Chinese and American mathematics education development condition and the textbook development process, the present Sino-US Junior middle school mathematics textbook still has worthy to be learned from each other's content.In view of this, this paper selected the junior middle school mathematics textbook Mathematics: Applications and Connections (i.e.: MAC textbook),which take more influential in the United States, and the larger reform textbook, published by Beijing Normal University publisher (i.e.: BNUP textbook), take'the number and the algebras'realm as an example, adopt comparison method, content analysis, cultural heritage method, interview method etc. make a comparative study from the macro-level and the micro-level. Among them, the macro-level, mainly related to the design of textbooks, the whole present characteristics etc. while the micro-level involve curriculum breadth, depth courses, curriculum time, example, exercise preparation, organizational structure and the preparation of structure and so on. Study shows that:First, the Chinese and American middle school mathematics textbooks show both similarities and differences on design ideas and the characteristics Through the macro view comparison research of the textbook, we discovered that the American textbook combine the construction type and the'material of study'type design, the BNUP textbook is the center type design combine the construction type ,so the characteristics of Chinese and American textbook exist a lot of same places, such as both countries'textbooks compilation is abundant and elegant, pays great attention in the discipline and mathematics and other discipline relation, and mathematics application penetration in textbook compilation design. However, due to the differences in textbook design, the Sino-US textbook in mathematics thought seepage, the knowledge content presents, information technology and curriculum integration reflects the extent of the difference. Second, Sino-US Junior middle school mathematics textbook on"number and algebra"domain microscopic comparison differenceThe chapter contents basic style comparison research results: The two countries have established the preparation of the textbook style, all take the problem scenario as to correspond a point to present knowledge, outstanding the characteristics " the problem drive type", just two countries in the middle of present lay particular emphasis on a point to have a dissimilarity, the American textbook is like"learn a material" but the our country textbook more to be like"teaching material" more.Organize the structure comparison research results: China and America two country textbooks all adopt a spiral type structure to write, but compare an American textbook always the more mature spiral type write a way, the spiral type structure of the our country north teacher version textbook main body the knowledge orders now of inside contact up, but the arrange in order of chapter near to the straight line, right line type more to write.China and America the textbook contents structure comparison research results: At the contents capacity aspect, China and America two the country textbook number and algebras this realm exist very big difference, the our country textbook is many much know-ledge than the American textbook, such as the cube root, more than three terms polynomial operations, quadratic equation with one unknowns, cent type equation, reverse ratio function etc.. And in totally have the knowledge, American knowledge contents that the textbook speak also compares an our country little. Course wide degree, lesson aspect, the divisor fastens the outside of the enlargement, the course of the American textbook wide degree and lesson the quantities is smaller than, less than all our country. The course depth aspect, the knowledge target depth smaller than, less than our country of the American textbook, the request of the contrary process target is obviously high in the our country. The exercises aspect, the exercises total amount of the American textbook obvious greater than, larger than our country, and the most outstanding in the knowledge skill, the exercises scenario aspect, the American textbook designed more realms, more benefit in student the basis own interest choice.The relevant conclusion of this thesis writes to the further perfect our country junior high school mathematics textbook "the number and algebras" realm, certainly drawing lessons from a meaning; In the meantime, the thesis research method has good commonness, can also expand to the mathematics course the comparison research of other realms medium.