It is important for pre-service teachers to know the conceptual difficulties they have experienced regarding the concepts of multiplication and division in fractions and problem posing is a way to learn these conceptual difficulties. Problem posing is a synthetic activity that fundamentally has multiple answers. The purpose of this study is to analyze the multiplication and division of fractions problems posed by pre-service elementary mathematics teachers and to investigate how the problems posed change according to the year of study the pre-service teachers are in. The study employed developmental research methods. A total of 213 pre-service teachers enrolled in different years of the Elementary Mathematics Teaching program at a state university in Turkey took part in the study. The “Problem Posing Test” was used as the data collecting tool. In this test, there are 3 multiplication and 3 division operations. The data were analyzed using qualitative descriptive analysis. The findings suggest that, regardless of the year, pre-service teachers had more conceptual difficulties in problem posing about the division of fractions than in problem posing about the multiplication of fractions.

The aim of this study is to determine the problem solving skills and science process skills of six year-old children who attended kindergarten and whether or not there is a difference in problem solving skills and science process skills of children receiving and not receiving the education with GEMS program. In the study using the experimental model with pre-test, post-test and control group, the sample group consisted of a total of 25 children including 11 children in experimental group and 14 children in control group who attended the preschool education. The “GEMS Program” was applied throughout a school year after applying pre-test to the children in the experimental group. In the scope of the study, “General Information Form” to obtain the data about the children and their families, “Parental Evaluation Form” including the evaluation of the parents about their children, “Problem Solving Scale in Science Education (PSSSE)” to determine the problem solving skills of the children and “Science Processes Observation Form (SPOF)” to measure the science process skills of the children were used. According to the results of the study, while a statistically significant difference was observed between the Problem Solving Scale in Science Education mean scores of the children in the experimental group who participated in the GEMS Education Program and of the children in control group, no statistically significant difference was observed between the mean scores obtained by the children in the experimental group from Science Processes Observation Form and the mean scores of the children in the control group.

This study aims to evaluate elementary school math teachers' self-efficacy beliefs about classroom management. With the aim of investigating elementary school math teachers' self-efficacy beliefs about classroom management, a classroom management self-efficacy scale was developed.  The 5 point likert scale is composed of 46 items. The scale was applied to 142 math teachers working at elementary schools in Diyarbakir central district. Data were analyzed in terms of gender, seniority, classroom population and weekly course load. To analyze the data, t-test, one way variance analysis (ANOVA), Scheffe and LSD tests were used. The results showed that the math teachers have a positive self-efficacy belief of classroom management and that male teachers are better at maintaining discipline in class. In addition, the research shows that teachers with more experience are better at course design and classroom management and that classroom population has an effect on math teachers' self-efficacy beliefs about classroom management.

It was aimed in this study to determine the teacher candidates' views on the augmented reality applications in education. It is a descriptive study to identify the present situation. Survey model, one of the quantitative research methods, was used in the research. The sample group of the study is comprised of 220 teacher candidates who are studying in the 2nd Grade of 8 departments in Mersin University Faculty of Education. Consisting of 4 sections, 22 items and an open-ended question, a questionnaire was used as a data collection tool in the study to determine the views of teacher candidates about the augmented reality applications in education. The findings obtained from the analysis of the data were shown in frequency and percentage. Qualitative findings obtained from the open-ended question were classified into codes and themes through content analysis method, and frequency and percentages of codes were given. It was found in the study that the teacher candidates did not know well enough about the augmented reality applications and that those who knew them found these applications very entertaining, motivating and facilitating learning, and were also of the same mind to use them widely in education.

The researcher investigated the mathematics learning styles of vocational college students during fall 2017 and spring 2018. 94 students enrolled in the vocational college of a public university completed the questionnaire "How Do I Actually Learn?" developed by Forster. Scale has four learning styles: reflective, inquisitive, diligent and user. The results of the research revealed that the most preferred learning model was user learning style in mathematics learning. Most of the students preferred to learn mathematics by writing the solutions, and reading through their notes or work. There were also statistically significant differences in mathematics learning styles among students according to their academic achievement. According to the results, students with high level of success were more inquisitive than students with low levels.

The purpose of this study is to reveal factors considered by mathematics student teachers while posing modelling problems. The participants were twenty-seven mathematics student teachers and posed their modelling problems within their groups. The data were obtained from the modelling problems posed by the participants, their solutions on these problems and the groups’ reflective diaries regarding their problem posing and solution processes. The data were analyzed by using content analysis and the codes were constructed according to the problems’ contents. The participants' diaries were examined in terms of generated codes and the expressions supporting/relating the codes were determined. While designing the problems, the participants considered the factors such as being interesting, understandable, appropriateness to real life and modelling process, model construction, and usability of different mathematical concepts. Their solutions were generally handled in terms of usage of the mathematical statements, appropriateness to the modelling process and being meaningful for real life. Modelling training should be provided to enable the student teachers to develop modelling problems and their designs should be examined and the feedbacks should be given.

Technology is an indispensable part of the educational curriculum, and large budgets have been allocated to provide technological infrastructure in secondary education institutions in Turkey. It is important that teachers have the technological pedagogical content knowledge (TPCK) to successfully integrate technology into their courses. The aim of this study is to examine the development of the TPCK of a mathematics teacher who participated in in-service training course organized for the use of Geogebra software in geometry teaching. The in-service training is designed in accordance with the Technology Integration Model stages, and Geogebra software is used taking into account the learning outcomes of 9th and 10th grade secondary school geometry. The case study method has been employed, and data was collected through interviews, observation, self-assessment forms, and field notes. The findings show that the in-service training helped the maths teacher integrate technology in the teaching and developed the knowledge of curriculum, students’ understandings and learnings, and instructional strategies and methods. With regard to research recommendations and results, professional development programs that will provide TPCK development can be organized so that teachers can use the ever-evolving technologies in their classes along with the appropriate pedagogical approaches.

Students’ test anxiety is known to have significant influences on essential academic outcomes, and given the increased testing of school-aged children gender differences also appear in dimensions of test anxiety: thoughts, off-task behaviors, and autonomic reactions. This study examined: (i) whether there is a pattern of correlations exist among three dimensions of test anxiety that are tapped by the Children’s Test Anxiety Scale (Wren & Benson, 2004) and (ii) whether gender differences exist in the strength of these test anxiety dimensions. Students (N= 414) from 3 public schools, attending to the fourth grade (205 Females; 209 Males) were asked to rate on the thoughts (cognitive), off-task behaviors (behavioral), autonomic reactions (physiological) dimensions. The results revealed a strong relationship between thoughts and autonomic reactions (r = .57). Applying a multivariate approach, gender differences were found to be significant in overall test anxiety favoring females. Results also revealed a small female advantage for thoughts and autonomic reactions, Ƞ2 = .012 and Ƞ2= .016; but quite a small male advantage for off-task behaviors Ƞ2=.009. Taken as a whole, we need to seriously consider the implications of these differences and pay attention particularly to females in elementary schools.

Self-regulation is an active and constructive process in which students regulate and observe their own behaviour, motivations and cognition by setting their own goals during their learning process. In this study, the aim is to investigate the effects of biology laboratory practices that are supported by self-regulated learning strategies on students’ readiness for self-directed learning and their attitudes towards science experiments in laboratory settings. This study, which was undertaken as a quasi-experimental study in accordance with the pretest-posttest design with a control group, was implemented. Second year students who studied science teaching in the faculty of education at a state university in Konya in the academic year of 2018-2019 made up the sample of this study. There were two groups in the study which were “The Control Group” and “The Experimental Group”. In order to measure the students’ self-directed learning readiness levels, “Scale of Self-Directed Learning Readiness in Laboratory” was used and to measure attitudes towards science experiments “Scale of Attitudes towards Science Experiments” was utilized. Both scales were implemented as pre-tests before the study and as post-tests after the completion of the implementation process. The analysis of the data was conducted via SPSS 18. Independent samples t test was conducted to understand whether biology laboratory practices supported with self-regulated learning strategies have any effect on students’ readiness for self-directed learning and their attitudes towards science experiments in laboratories. According to the findings of the study, biology laboratory practices supported with self-regulated learning strategies were observed to make a significant difference in favour of the experimental group considering their self-directed learning readiness and their attitudes towards science experiments.

The aim of this study is to reveal the suggestions of guidance and psychological counseling candidates (GPC) in dealing with math anxiety. The study analysed 50 GPC candidates’ opinions and suggestions on math anxiety. The research study utilized case study method. The participants were asked to respond what kind of studies they would suggest to their clienst in order to overcome math anxiety once they begin to work in their profession. The interviews transcripts were converted into written documents. Content analysis was made on those documents to find GPC candidates’ suggestions and opinions. Based on the findings, it can be concluded that the reasons of math anxiety can vary from individual to individual. Therefore, it was emphasized that the studies to determine the causes of math anxiety should be specific for each individual. Then, consultancy service should be formed based on the assessment of reasons that cause anxiety for each person. If the individual's math anxiety is caused by environmental factors such as teachers, families and peers, guidance and psychological counseling services should be offered to these environmental factors.

The aim of this study was to investigate the attitudes of music teacher candidates on computer self-efficacy perceptions and digital technology according to different variables. In this research, correlational survey model is used as a general survey model and also during data collection process of research, criterion sampling is used as purposive sampling.   The focus group of the research consists of 102 students studying music education at Ondokuz Mayis University in the 2018-2019 academic year. Computer Self-Efficacy Perception Scale and Attitude Scale towards Digital Technology Scale were used as data collection tools for the study. According to the results of the study, it was found that there was a significant relationship between the levels of computer self-efficacy perception and the attitudes towards digital technology of the music teacher candidates who participated in the research. The self-efficacy perceptions of the students significantly differed according to their gender, to have a personal computer and the time they first used the computer for educational purpose and their attitudes towards digital technology significantly differed according to their gender, class level and computer ownership.

This study was aimed at investigating whether or not there is an interaction between learning approach and social intelligence towards response fluency. A number of 126 eighth grade students (M = 13.9; SD = 0.5 years) in Bojonegoro, Indonesia were randomly selected to participate in this study. This research used 2x3 factorial quasi-experiment with the matching static comparison design. The statistical Analysis Of Covariance (ANCOVA) ware implemented for analysis of data in the study. The results show that: there is a significant difference in response to fluency between students who learn with a scientific approach and direct learning approach; there are significant differences in response to fluency between students who have high, medium, and low social intelligence, both in scientific and direct learning approaches, the students with high social intelligence levels have better response to fluency than those with moderate social intelligence or low, and the students with moderate social intelligence have better response to fluency than those with low social intelligence, in all levels of social intelligence, the students who were taught by using scientific approach have better response to fluency than those who were taught by using direct learning approach.

The structure sense is a part that must be learned in order to help understand and construct connection in abstract algebra. This study aimed at building the pattern of a structure sense as a profile of the structure sense in group property. Using a qualitative study, the structure sense of group property was explored through lecturing activity of abstract algebra course from two individual assignments given to the students. The students who could provide the best answers from the first and second individual assignments were chosen to be the respondents. The data from the second assignment, then, was analyzed through presentation, interpretation, coding, making a pattern, leveling and continued with clarification through an interview. The results of the study show that there were six patterns of structure sense answers and five levels of structure senses made by the students as the profile of structure sense. The conclusion is the inability to recognize the structure of the set elements, operation notations, and binary operation properties is one of the causes of the constraints in structuring the proof construction of the group. Thus, a thinking of mathematics connection is needed in structure understanding as a connection between symbol in learning and the symbol of abstract.

This descriptive and correlational study investigated the effects of using PSPP in learning Statistics on students’ attitudes and performance. The respondents of the study were 200 Grade 11 Senior High School students who were enrolled in Probability and Statistics subject during the Second Semester of School Year 2018-2019. The respondents were randomly selected from those classes across the different academic strands that used PSPP in their Probability and Statistics subject through stratified random sampling. The results revealed that the students have favorable attitudes towards learning Statistics with the use of the PSPP software.  The students became more interested and engaged in their learning of statistics which resulted to an improved academic performance.

This study investigates the emotional responses of EFL student teachers to various affective situations during practicum and their coping strategies to enhance positive emotions and reduce negative emotions. Seventy female EFL student teachers participated in this study. To collect quantitative and qualitative data, two instruments were used: an emotional reflective diary and semi-structured interviews. The results of the study revealed that the practicum is an emotionally positive experience. The frequency of occurrence of pleasant affective situations was more than that of unpleasant ones. In the decreasing order of frequency, the most frequent emotional responses were happy, angry, and stressed and the least frequent ones were lost, influential, and shamed. Furthermore, the results indicated that student teachers adopted many regulation strategies to manage their emotions. The study recommends that teacher education programmes increase the focus on teachers’ emotions and training student teachers to manage their emotions to build future professional identities.

This research study presents the PGBE model for teaching and learning percentages with students of Grade 7 when their cognitive development enables the conceptual understanding of percentages as proportional statements, and offers the possibility for more effective matching of them with fractions and decimal numbers. The abbreviation PGBE presents the interrelation of the poster method and three instructional models through which different types of students’ mathematical knowledge about percentages can be built. Hence, P stands for the poster method through which the recognition of students’ previous knowledge about percentages can be done, G represents different grids that can be used for building concrete type of knowledge about them; B signifies the bar model for developing students’ proportional understanding of percentages, and E represents the extended bar model for fostering students’ principled-conceptual understanding of percentages. The effectiveness of the implementation of the PGBE model is assessed by organizing two cycles of piloting and conducting the experimental method with 263 students of ten Grade 7 classes. The results of the study show that the implementation of the PGBE model has had an impact on the learning of students, stimulating an in-depth learning and a long lasting knowledge about percentages for this cohort of students.

The amount of empirical research conducted in the area of differentiated instruction (DI) is overwhelming, necessitating this bibliometric analysis in order to produce an overview of literature on the topic. The objective of this study is to identify the characteristics of the most-cited educational research published on the topic of DI using science mapping and multi-dimensional bibliometric analysis methods. To answer the research questions which were related to: i) publication, ii) authorship, iii) authors’ keywords, and iv) journals, a total of 100 articles published between 1990 and 2018, generated from SCOPUS, were analysed. The results showed that the most-cited articles and the number of publications were highest between 1995 and 2011. With a total of 545 citations “A Time for Telling”, published in the Journal of Cognition and Instruction (1998), was the most cited. The most significant keywords were: a) differentiated instruction, b) differentiation, c) curriculum, d) mathematics, and e) reading. The analysis showed that there were 283 authors who contributed to the 100 articles, and amongst them Carol McDonald Connor was the greatest contributor. It was also revealed that the great majority of the most-cited publications were from Q1-ranked journals. These findings inform scholarly efforts adopted in developing a diverse knowledge base in the field. The findings are important to scholars as they provide an overview of the progress of research on the topic of DI.

The development of the revolution era 4.0 which increasingly rapidly demands the wider community to have the ability to think creatively mathematically. One effort to improve the ability to think creatively is through quality education. Quality education can be improved through to train thinking using the right learning model. This study aims to see which results are more effective in improving students' thinking skills between the two learning models applied. The two models are Problem Based Learning (PBL) and Aptitude Treatment Interaction (ATI) models. This research method uses quasi experimental method with a posttest only control test design not control group. This study uses two group subjects with two experimental classes. The analysis of the data used the hypothesis testing of the non-correlated 2-sample t-test. Based on the research results obtained Aptitude Treatment Interaction (ATI) models have a better effect on students' creative thinking abilities compared to Problem Based Learning (PBL) models.

The research investigated the effect of socioeconomic status, gender, perceived parental influences, teacher affective support, classroom instruction and previous achievement on students’ attitude towards mathematics. The comparison of these effects was also done between urban and rural school students.  This research employed a cross-sectional quantitative design based on a structural equation modelling approach. The sample consisted of 808 students from ten secondary schools in Sabah, three of which were urban and seven were rural schools. Findings showed positive relationships exist between perceived parental influences (r = .231), teacher affective support (r = .242), classroom instruction (r = .439), and previous achievement (r = .284) with students’ attitude towards mathematics. The multigroup analysis for urban and rural students showed similar results as the whole student group. However, for urban students, classroom instruction (r = 0.352) and previous achievement (r = -0.363) had the greatest impact on attitude towards mathematics. For rural students, the highest impact on attitude towards mathematics was from classroom instruction (r = 0.452) and teacher affective support (r = 0.246). The least impact for both groups was perceived parental influence. This study implied that factors affected students’ attitude towards mathematics in rural and urban secondary students are different

This research aims to find out: (1) the more effective learning model on students' divergent-thinking skills; (2) the better adversity quotient on students' divergent-thinking skills; (3) the better adversity quotient to improve students' divergent-thinking skills in each learning model; and (4) the better learning model to improve students' divergent-thinking skills in each adversity quotient. This research uses a quantitative approach with a quasi-experimental type. The fifth-grade students were selected as the research subjects. This research was carried out at the public elementary schools in Laweyan District, Surakarta, Indonesia. Test and questionnaire techniques were used to collect data. The data analysis was performed with the analysis prerequisite, hypothesis, and multiple-comparison tests. The results showed that the learning model and adversity quotient have an influence on divergent-thinking skills; for each adversity quotient, the thinking actively in a social context learning model is better than the creative problem solving and direct instruction learning model; the creative problem solving learning model is better than the direct instruction learning model; and adversity quotient of the climbers is better than that of the campers and the adversity quotient of the campers is better than that of the quitters in each learning model.