The Model Object-product-cognitive Operation Through Mathematical Education

The aim was to investigate the efficiency of the model to operationalize D’Hainaut with applications in mathematics, the formation of concepts, theorem proving, problem solving.Hypothesis can be reduced to the claim that the use of operationalization model object, product, cognitive operation in mathematics education will lead to the formation of effective skills and problem solving approach to mathematics and the development of thinking. From this hypothesis derives research objectives: presenting mathematical problem solving examples using this model, observation and application of these approaches in solving mathematics teaching practice days, achieving a systematic research using questionnaire and method tests the effectiveness of the model operationalization. The research was conducted in the second semester from February to May 2013, in the process of observation and evidence in support of teaching practice lessons with 46 students in the third year of the Department of Mathematics - Informatics, University Vasile Alecsandri in Bacau through systematic observation on how it is assisting 46 math lessons and support of 46 lessons followed by testing a sample group of 260 middle school students and application of questionnaires to 65 teachers from different disciplines. This study deals with such aspects as: the object-product-cognitive operation model in mathematical education; the analysis and classification of problematic tasks; the building of certain learning skills characteristic of the mathematical content; the comparative analysis of the essential characteristic of the learning methods. This study is concerned with aspects such as: the model object-product-cognitive operation through mathematical education; achieving a systematic observation regarding the initiation in the particularities of mathematical activity; gaining knowledge of the elements and priorities of certain fundamental notions and configurations; using concepts and theorems in solving mathematical problems.