scholarly journals The Role of Representations in the Understanding of Mathematical Concepts in Higher Education: The case of Function for Economics Students

Author(s):  
ELENI DELIYIANNI ◽  
Athanasios Gagatsis ◽  
Areti Panaoura ◽  
Stylianna Nicolaou ◽  
Iliada Elia ◽  
...  

the case of higher education most studies were conducted at pedagogical departments for prospective teachers and mathematical departments. The present study concentrates on university students who attend a course on mathematics as part of a program at the Faculty of Economics and Management. It examines students’ affective and cognitive behavior in solving representation tasks concerning their understanding of exponential and logarithmic functions. Results confirmed the existence of a comprehensive model with significant interrelations among general beliefs, self-efficacy beliefs and cognitive behaviour about the use of representations in general and, in the case of the specific concept. Regression analysis indicated the predominant role the self-efficacy beliefs play in the use of representations in defining the concept of function and solving recognition and translation tasks. Implications about the teaching of mathematics in higher education are discussed.

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Areti Chr Panaoura

<p align="justify">The present study focuses on the investigation of prospective teachers’ beliefs and self-efficacy beliefs about the use of the inquiry-based teaching approach in mathematics education during their studies, before and after fieldwork. The aim of the two courses they attended during their studies in a pedagogical department emphasized the understanding of the human involvement on the development of the mathematical concepts through the history of mathematics and the role of investigation and exploration at the teaching of mathematics, as a part of the inquiry-based approach. At the final year of their studies, during the fieldwork they were expected to implement the acquired knowledge about innovative processes in real life classroom situations. The study which conducted with the participation of 73  prospective teachers is divided into three main phases: a) examining their beliefs and self-efficacy beliefs after attending a course about Basic Mathematical Concepts based on the History of Mathematics, b) examining their beliefs and their self-efficacy beliefs after attending a course about the Methodology of Teaching Mathematics in primary education and c) examining the difficulties they face during their first teaching experiences in real life school situations during the last year of their studies. Results indicated that participants seemed to believe in the value of inquiry-based approach and they had high self-efficacy beliefs about using explorations and investigations which were presented at the textbooks; however they had low self-efficacy beliefs about constructing mathematical investigations and explorations by themselves and overcoming teaching difficulties which were related with children’s misunderstandings and time allocation management, during the fieldwork experience. </p>


2019 ◽  
Vol 12 (1) ◽  
pp. 783-796
Author(s):  
Murat Tezer ◽  
◽  
Sebnem Guldal Kan ◽  
Cizem Bas ◽  
◽  
...  

2021 ◽  
Vol 9 (S1-May) ◽  
pp. 228-237
Author(s):  
Fatma Erdoğan ◽  
Feyza Yıldız

Problem-solving and posing are skills at the center of mathematics education and mathematical thinking. However, little is still known about the affective aspects of problem-posing. This study aimed to determine the level of prospective elementary mathematics teachers’ problem-posing self-efficacy beliefs and to compare their beliefs according to the variables of gender, grade, and academic achievement levels. This study was carried out by survey method. Descriptive and causal-comparative survey research design was used in this study. The study group consisted of 130 prospective teachers studying at the Elementary Mathematics Education department in a state university, located in the Eastern Anatolia Region of Turkey. Problem-Posing Self-Efficacy Beliefs Scale was used as a data collection tool. In data analysis, descriptive statistics, the independent samples t-test, and one-way analysis of variance were used. Findings of the study indicated that levels of the prospective teachers’ PP self-efficacy beliefs were high. It was found in the present study that the problem-posing self-efficacy beliefs of the prospective teachers did not differ significantly with regard to gender. Furthermore, a statistically significant difference was found between the prospective teachers’ problem-posing self-efficacy beliefs in terms of their grade and academic achievement. In the light of the research results, suggestions were presented.


2020 ◽  
Vol 8 (4) ◽  
pp. 747-753
Author(s):  
Murat Ellez ◽  

Prospective teachers’ attitudes and beliefs regarding self-efficacy beliefs become the basis of their attitudes in their professional lives, as they affect their students’ attitudes and self-efficacy. The aim of this study is to determine the primary teacher training students’ attitudes towards mathematics and self-efficacy beliefs regarding teaching math and the relationship among them. The “Relational Scanning Model” is used in the study. Data is collected from 290 students who were studying in the Primary Education Department of 9 Eylül University, Buca Faculty of Education. Mathematics Attitude Scale and Self-efficacy Belief Scale towards Teaching Mathematics are used to gather data. SPSS 22 was used for data analyses. T-test used for identifying significance of differences, and the Pearson correlation coefficient by means of different aspects. Results showed no differences by gender in attitudes towards math and self-efficacy beliefs regarding teaching math of the students who completed the survey. However, although Primary Education prospective teachers scores were higher in their attitude points and self–efficacy towards math teaching, a significant difference between pre-school and primary school prospective teachers. Besides, results revealed a relationship between attitude and self-efficacy beliefs regarding math. To further research, it is recommended that the same surveys should be done with different groups and the larger sample sizes


2016 ◽  
Vol 13 (3) ◽  
pp. 3807 ◽  
Author(s):  
Sedat Kanadlı ◽  
Fazilet Karakuş

The purpose of this study is to investigate the effect of the Pedagogical Formation Certificate Program (PFCP) on prospective teachers’ professional self-efficacy beliefs and attitudes towards the teaching profession. The study was conducted through convergent parallel mixed method design (Creswell & Plano Clark, 2015). In the quantitative phase, one group pretest-posttest design was used. The data relating to prospective teachers’ professional self-efficacy beliefs before and after the PFCP were collected through “Teaching Self-Efficacy Perception Scale” developed by Tschannen-Moran & Hoy (2001) and adapted into Turkish by Çapa, Çakıroğlu & Sarıkaya (2005). “Attitudes towards Teaching Profession Scale”, developed by Çetin (2006), was utilized for exploring prospective teachers’ attitudes towards the teaching profession. In the qualitative phase, the data were collected through open-ended questions. The participants consisted of 150 prospective teachers who attended the PFCP held at Mersin University in the 2014-2015 academic year and who were accessible before and after the PFCP. Quantitative data were analyzed through paired-samples t-test; and deductive qualitative analysis (Patton, 2014) was utilized for the qualitative data. As a result of the quantitative data analysis, there was no significant difference between prospective teachers’ professional self-efficacy beliefs and attitudes towards the teaching profession before and after the PFCP.  After the qualitative data analysis, it was determined that the quantitative and qualitative results of the professional self-efficacy beliefs partially converged, but the quantitative and qualitative results of the attitudes towards the teaching profession diverged.  The possible reasons for these results were discussed in light of the related literature. ÖzetBu araştırmanın amacı pedagojik formasyon sertifika programı (PFSP)’nın öğretmen adaylarının mesleki öz yeterlik inançlarına ve öğretmenlik mesleğine yönelik tutumlarına etkisini incelemektir. Araştırma karma yöntem araştırma desenlerinden yakınsayan paralel desen (Creswell & Plano Clark, 2015) yaklaşımıyla yürütülmüştür. Araştırmanın nicel aşamasında deneysel desenlerden tek grup öntest-sontest deseni kullanılmış, nitel aşamasında ise veriler açık uçlu sorularla toplamıştır. Araştırmanın nicel verilerinin toplanması için çalışma grubuna eğitim öncesi ve sonrasında Tschannen-Moran & Hoy (2001) tarafından geliştirilen, Türkçe’ye uyarlama çalışması Çapa, Çakıroğlu ve Sarıkaya (2005) tarafından yapılan Öğretmen Öz-Yeterlik Algısı Ölçeği ve Çetin (2006) tarafından geliştirilen Öğretmenlik Mesleği Tutum Ölçeği uygulanmıştır. Nitel aşamada ise veriler açık uçlu sorular yoluyla toplanmıştır. Araştırmanın çalışma grubunun 2014-2015 eğitim-öğretim yılında Mersin Üniversitesi’nde düzenlenen PFSP’na katılan ve program öncesi ve sonrasında erişilebilen 150 öğretmen adayı oluşturmaktadır. Nicel verilerin analizinde ilişkili örneklemler için t-testi, nicel verilerin analizinde ise tümdengelimsel nitel analiz (Patton, 2014) kullanılmıştır. Nicel verilerin analizi sonucunda öğretmen adaylarının PFSP’ndan önce ve sonra mesleki öz yeterlik inançları ve mesleğe karşı tutumları arasında istatistiksel olarak anlamlı bir fark bulunamamıştır. Nitel verilerin analizinden sonra, nitel sonuçların öğretmen adaylarının mesleki öz yeterlik algılarına ilişkin nicel sonuçları kısmen desteklediği; ancak öğretmen adaylarının mesleğe karşı tutumlarına ilişkin nicel sonuçları desteklemediği belirlenmiştir. Bu sonuçların olası nedenleri alanyazın ışığında tartışılmıştır.


2016 ◽  
Vol 13 (3) ◽  
pp. 5595 ◽  
Author(s):  
Türkay Nuri Tok ◽  
Şükran Tok

This study aims to determine novice teachers’ classrom management self efficacy beliefs as well as the extent to which these beliefs change according to independent variables. This research which aims to determine novice teachers’ classroom management self efficacy beliefs is a survey type research. The participants of the study are 85 novice teachers on duty in their first year in Hatay Province in Turkey. Classroom Management Self-Efficacy Convictions Scale that is internally consistent and valid in measuring classroom management self-efficacy beliefs of prospective teachers devised by Çetin (2013) was used in the study. There is not any statistically significant difference in terms of school of graduation and classroom management efficacy belief and result expectation sub-dimension. There is not any statistically significant difference in classroom management efficacy belief and result expectation sub-dimension. In terms of gender, there is not any statistically significant difference in the result expectation sub-dimension but there is a statistically significant difference in classroom management efficacy belief. Male novice teachers have higher level of classroom management efficacy beliefs than female novice teachers.


2012 ◽  
Vol 9 (4) ◽  
pp. 289-298
Author(s):  
Dilek Sezgin Memnun ◽  
Recai Akkaya ◽  
Guney Hacıomeroglu

This study examines prospective teachers beliefs in their own abilities and effectiveness to impart mathematical literacy to their students, their beliefs about mathematical problem solving, and the relationship between these two belief systems. A total of 567 prospective teachers, majoring in mathematics, science and elementary teacher education programs volunteered to participate in the study. The Self-Efficacy Beliefs Scale about Mathematical Literacy and the Beliefs about Mathematical Problem solving instruments were administered to prospective teachers. Results of the study revealed that there was a significant relationship between the beliefs about mathematical problem solving and self-efficacy. Findings of this study indicated that prospective teachers beliefs about mathematical literacy were an important predictor on the beliefs about mathematical problem solving.


2020 ◽  

Abstract The authors have requested that this preprint be withdrawn due to erroneous posting.


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