تقويم كتب الرياضيات بالمرحلة المتوسطة في المملكة العربية السعودية في ضوء نموذج فان هيل (Van Hiele)‎ للتفكير الهندسي

Abstract EN

This study aimed to find out the relevance of mathematics books in the intermediate stage of Van Hill levels of geometric thinking, in order to achieve this goal, the researcher utilized the analytical descriptive method, using the analysis card as a tool to conduct this study and prepared a list of skills in which Van Hill's levels of geometric thinking (conceptual, analytical, quasi- Inductive, Inductive, abstract).

A number of results were found, most notably: the incompatibility of the engineering subjects in the second- grade books as well as the third- grade average with the hierarchy of Van Hill levels of geometric thinking.

Failure to observe mathematics books in the middle stage, to include engineering activities at the induction level, to equip students to deal with secondary engineering topics.

The researcher recommended a number of recommendations, the most important of which are: To reconsider the hierarchy of the levels of engineering thinking in the engineering activities included in the mathematics books in the intermediate stage.

The work on enriching mathematics books in the second grade is average of engineering activities of semi- inductive level, to match the hierarchy of the levels of engineering thinking of the intermediate stage.

The work of enriching mathematics books in the third grade is an average of engineering activities of semi- inductive and indicative level to match the hierarchical level of the engineering thinking of the middle stage, which is the basis for higher levels of engineering thinking in the secondary stage.

The inclusion of additional topics in engineering and measurement in mathematics books for the third- grade, to contribute to the development of levels of engineering thinking for students.