مستويات فان هايل المتضمنة في محتوى منهج الرياضيات للمرحلة الإعدادية

الملخص EN

Three-dimensional geometry is regarded as the most important branch in mathematics because of its relation to practical life and at the same time is an active and enjoyable material; the students regarded it as a complex and understood.

Van Hill had divided the geometric thinking into five levels (imaginary, analytical, semi-deductive, absolute deductive and completely absolute deductive) so the researcher want to find out the attendance degree of these levels in math’s books for preparatory stage, and the difficulties of geometry can be traced back to the content of school books as well as the method of presentation or the loss of connecting the materials with the students’ needs and tendencies, or for both.

The research problem becomes clear through the answer ti the main question: what is the degree of containing Van Hills’s levels that are included in both math’s book for fifth and sixth scientific preparatory for the academic year (2015-2016.) The limits of the research are -: 1- The 8Th chapter of math’s book at fifth scientific preparatory grade 7th edition ,2015 2- The 6th chapter of math’s book of sixth scientific preparatory grade.

7th edition ,2015 The researcher relied on analytic descriptive math’s book of preparatory grade and the sample is represented by the 8th chapter (the three dimensional geometry) of fifth scientific preparatory grade and the 6th chapter (the three dimensional geometry) of math’s book of sixth scientific preparatory grade .

The researcher has built the analysis tool and has chosen the item unit (topic) as a basic unit to analyses the content, it has applicator on the sample research after finding the validity and stability of the unit The result has been as follows -: In relation to the identification of Van Hill’s and sixth scientific grad .

The search results indicated that the levels implied in order (imaginary, semideductive, analytic and logical deductive) .Level V did not get any percentage.