An exploration of affective and demographic factors that are related to mathematical thinking and reasoning of university students

Başaran, Seren
There are four major aims of this study: Firstly, factors regarding university students’ approaches to studying, self-efficacy in mathematics, problem solving strategies, demographic profile, mathematical thinking and reasoning competencies were identified through the adopted survey and the competency test which was designed by the researcher. These scales were administered to 431 undergraduate students of mathematics, elementary and secondary mathematics education in Ankara and in Northern Cyprus and to prospective teachers of classroom teacher and early childhood education of teacher training academy in Northern Cyprus. Secondly, three structural models were proposed to explore the interrelationships among idenitified factors. Thirdly, among three models, the model yielding best fit to data was selected to evaluate the equality of the factor structure across Ankara and Northern Cyprus regions. Lastly, differences regarding pre-identified factors with respect to gender, region and grade level separately and dual, triple interaction effects were investigated through two two-way MANOVA and a three-way ANOVA analyses. Exploratory and confirmatory factor analyses were employed to determine the factors; meaning orientation, mathematics self-efficacy, motivation, disorganized study methods and surface approach for the survey and ‘expressing, extracting and computing mathematically’(fundamental skills) and ‘logical inferencing and evaluating conditional statements in real life situations’(elaborate skills) for the test. The three models commonly revealed that while mathematics self-efficacy has a significant positive effect on both fundamental and elaborate skills, motivation which is a combination of intrinsic, extrinsic and achievement motivational items was found to have a negative direct impact on fundamental skills and has a negative indirect contribution upon elaborate skills. The results generally support the invariance of the tested factor structure across two regions with some evidence of differences. Ankara region sample yielded similar factor structure to that of the entire sample’s results whereas; no significant relationships were observed for Northern Cyprus region sample. Results of gender, grade level and region related differences in the factors of the survey and the test and on the total test indicated that, females are more meaning oriented than males. ‘Fourth and fifth (senior)’ and third year university students use disorganized study methods more often than second year undergraduate students. In addition, senior students are more competent than second and third year undergraduate students in terms of both skills. Freshmen students outscored sophomore students in the elaborate skills. Students from Ankara region are more competent in terms of both skills than students from Northern Cyprus region. This last inference is also valid on the total test score for both regions. Males performed better on the total test than females. Moreover, there exist region and grade level interaction effect upon both skills. Additionally, significant interaction effects of ‘region and gender’, ‘region and grade level’, ‘gender and grade level’ and ‘region and gender and grade level’ were detected upon the total test score.


Developing a Structural Model on the Relationship among Motivational Beliefs, Self-Regulated Learning Strategies, and Achievement in Mathematics
FADLELMULA, Fatma Kayan; Çakıroğlu, Erdinç; Sungur, Semra (Springer Science and Business Media LLC, 2015-12-01)
This study examines the interrelationships among students' motivational beliefs (i.e. achievement goal orientations, perception of classroom goal structure, and self-efficacy), use of self-regulated learning strategies (i.e. elaboration, organization, and metacognitive self-regulation strategies), and achievement in mathematics, by proposing and testing a structural model. Participants were 1,019 seventh grade students, enrolled in public elementary schools in Ankara, Turkey. Self-report questionnaires and ...
The effects of computer-assisted instruction on the achievement, attitudes and retention of fourth grade mathematics students in North Cyprus
Pilli, Olga; Aksu, Meral (2013-03-01)
The purpose of this study was to examine the effects of the educational software Frizbi Mathematics 4 on 4th grade student's mathematics achievement, retention, attitudes toward mathematics and attitude toward computer assisted learning. Two groups (experimental and control) of students from the state primary school in Gazimagusa, North Cyprus were used in this study. The control group was taught using a lecture-based traditional instruction and experimental group was taught using educational software, name...
A structural model on 7th grade students’ motivational beliefs, use of self-regulation strategies, and mathematics achievement
Kayan Fadlelmula, Fatma; Çakıroğlu, Erdinç; Sungur, Semra; Department of Elementary Education (2011)
This study was conducted in an attempt to integrate a number of cognitive, motivational and behavioral factors in elementary mathematics education, and to develop a theoretical model that explains the direct and indirect relationships among these concepts and their underlying dimensions. In particular, it was intended to examine the interrelationships among students’ achievement goal orientations, perception of classroom goal structure, self-efficacy, use of self-regulatory strategies, and academic achievem...
Analyzing the effects of the personality traits on the success of online collaborative groups
Kucukozer-Cavdar, Seyma; Taşkaya Temizel, Tuğba (Elsevier BV; 2016-06-23)
The purpose of this study is to analyze how efficient online study groups can be formed among students based on their personality traits. A survey consisting of Ten Item Personality Inventory (TIPI) was conducted among the undergraduate students in a well-known university. Eighty-two students who did not know each other were assigned to 35 small online groups based on their personality characteristics. The group members were then asked to study collaboratively on a task by communicating via the university's...
An Investigation of 7th grade students’ statistical literacy about the concepts of average and variation on bar and line graphs
Çatman Aksoy, Emine; Işıksal Bostan, Mine; Department of Elementary Science and Mathematics Education (2018)
The aim of the present study was to analyze statistical literacy of seventh grade students on the concepts of “average” and “variation” on bar and line graphs related to the data obtained from social or scientific contexts. More specifically, seventh grade students’ statistical literacy levels in terms of the concepts of “average” and “variation” on bar and line graphs related to the data obtained from social or scientific contexts were determined and how students at different statistical literacy levels de...
Citation Formats
S. Başaran, “An exploration of affective and demographic factors that are related to mathematical thinking and reasoning of university students,” Ph.D. - Doctoral Program, Middle East Technical University, 2011.