A Research On The Cohesion Of "Graph And Geometry" Of Mathematics Teaching Materials Between Primary And Secondary School

In the paper, the cohesion of “Graph and Geometry” is derived from the perspective of the teaching materials content, embodied in the three aspects of cohesion, which are the curriculum standard of primary and secondary schools, mathematics teaching materials and teaching materials with students. By the method of combining qualitative study with quantitative study, explain the curriculum objective and curriculum design of curriculum standard and analyze the " Graph and Geometry " structure and course content of mathematics teaching materials, based on the Piaget’s theory of cognitive development.According to W. Bueger and W. Shaughnessy’s categorization about Van Helie theory, design a the adaptation of " seventh grade students’ geometry thinking level test paper" under the Van Helie theory’s guidance as research tool, selected a sampling of about 103 seventh grade pupils in a middle school in Haikou for research and interview.And then come to the following conclusion:(1) The curriculum objects of " Graph and Geometry " present small steps to change. Although periodic target appeared the phenomenon of repetition, its demands are further deepen and improvement in the secondary school than primary school. The curriculum goals setting features of primary and secondary school consider both the development of the students in different periods and the structure of the subject, reflecting the good cohesion.(2)Each theme of " Graph and Geometry " had close similarity and relevance in primary and secondary school, following from intuitive geometry, experimental geometry to thinking geometry and manifesting the way of progressive, complementary and cross linking.(3)The layout style of mathematics teaching materials in secondary school continues the mode of primary schools’. Their commonness is not only a variety of forms and quantity but also function overlap, but also differences reflect on the presentation. In a word,the layout style of " Graph and Geometry " in the primary and secondary school mathematics teaching materials is in order.(4)Course extent of mathematics teaching materials in secondary school are extensive and periodic, the depth of the course and difficulty of the course change with the course context in primary and secondary school. By the course context, " Graph and Geometry " of mathematics teaching materials in primary school is focus on simple description mode, languages in children’s, visualization and interesting style. The characteristics of knowledge are close to the life and concrete thinking is dominant. Most conclusions tend to inspect memory and recite ability. In secondary school, " Graph and Geometry " lay emphasis on norm and elaborate languages in mathematicization, rigorous and abstract concept, strict in Logic. Abstract thinking is dominant and knowledge has strong expansibility and extensibility.(5)Seventh grade students’ thinking level have significant differences,which mainly focus on level 1,while seventh grade materials at level 2. The thinking level of mathematics teaching materials above students’.Based on the above results of study, the author gives some suggestions. Firstly, curriculum standards about mathematics curriculum goals and curriculum content design requirements will be on the further elaboration and explicit in primary and secondary school. Secondly, teachers should pay attention to the teaching and learning in primary and secondary school, finding knowledge cohesion link to writing the teaching materials by self and helping students to cross bridging barriers. Thirdly, the geometric thinking development of students is gradual,so mathematics teaching materials content arrangement should meet students’ demands in order to get development during zone of proximal development.Because of the professional knowledge and so on, there are some shortcomings in this study, such as cohesion theory is not very perfect, the sample is narrow and small.