Sare Şengül

Ortaokul Öğrencilerinin Matematiksel Anlamaları ile Matematiğe Yönelik Tutumları Arasındaki İlişki

The purpose of this research is to develop an instrument for testing students’ mathematical understanding (Study I), to search whether there is a correlation between middle school students’ mathematical understanding and their attitudes towards mathematics and to present the correlation by analyzing it according to various variables (Study II). The reliability and validity studies which were conducted within the scope of Study I showed that the scale have practicable features. The Study II was carried out with 341 students who are studying in various grades of a middle school. ‘Determining the Mathematical Understanding Levels Scale (DMULS)’ and ‘Mathematics Attitude Scale (MAS)’ was used as data collection instruments. According to the results of the study; it was appeared that there was a positive and significant correlation at a high level between mathematical understandings of students and their attitudes towards mathematics and there was a positive and significant correlation at middle level between mathematical understandings of students and sub-dimension scores of mathematics attitudes scale. Besides, it was determined that the mathematical understanding of the students differed by gender but the attitudes of students towards mathematics did not differ by their genders and both mathematical understandings and attitudes of students differed significantly according to their grade levels.

Differential operators for the solutions of complex partial differential equations

The solutions of complex partial differential equations of order four has been obtained by use of the polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.