Measuring the quality of the ‘product’ is elemental in education, and most studies depend on observational data about student achievement factors, focusing overwhelmingly on quantitative data namely achievement scores, school data like attendance, facilities, expenditure class size etc. But there is little evidence of learner perceptions. 553 students from two different universities, who graduated from 3 high school types, were asked to respond to two fundamental questions to reflect on school and classroom level achievement factors. 2294 responses produced eight categories in question one, teacher factors being the most preferred (n=424), followed by individual factors (n=404) and then family factors (n=395). As for liking towards a course, 1362 responses were produced, most frequent one being teacher’s attitude (n=205). Results indicate student perspective of causes of achievement is somewhat different from those expressed in quantitative studies. Girls attributed more achievement to study habits, family support whereas boys attributed more to school and technology. More emphasis is needed on perceived achievement factors for a sound evaluation of effectiveness in school.

The paper presents an educative experience organized in a postgraduate course in a faculty of education with the aim of facilitating students’ “affective self-understanding”. Affective self-understanding is a reflective practice that allows people to comprehend their own emotions in order to gain awareness of them. Students were spontaneously engaged in a laboratory, where they were invited to reflect on their emotional lives. The educative experience was subdivided into different phases requiring writing and analysis tasks. At the end of the experience, students were asked what they thought they had learned, what had been difficult, and what had been the most important phase for learning. Students’ answers were analyzed on the basis of grounded theory through an inductive process of analysis. The theoretical framework of the research is the cognitive theory of emotions. According to this theory, an emotional education is possible because we can understand emotions by identifying their cognitive component and the actions they induce.

Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature over the past two decades, this is not the case among African policy-makers and political leaders. Drawing mainly from our professional experiences as mathematics educators and from the international research literature, our primary intent in this paper is to answer this question: How does the learning of mathematics in English at the basic school level help or hinder students’ mathematical proficiency? To answer this question, the paper is organized as follows. The first part, the introduction, gives a brief overview of the language of learning and teaching in Africa. The second part describes the method and conceptual framework undergirding the research. In the third section, we have analyzed the effects of mathematics learning and teaching through English for basic students whose mother tongue is a Ghanaian language. The conclusion offers four recommendations for developing and improving the mathematics proficiency of students in basic schools.

Mathematics is an important school subject but one which often poses problems for learners. It has been found that learners do not possess the cognitive capacity to handle understanding procedures, representations, concepts, and applications at the same time. while the extent of field dependency may hold the key to one way by which the working memory can be used more efficiently. This study aims to explore the concept of field dependency which may offer a way forward in reducing the cognitive demands of finite working memory capacity, thus enabling higher performance to be attained. Age and gender were considered. With a sample of 120 secondary school students, the importance of working memory in relation to mathematics performance was confirmed (r = 0.55 ). The extent of field dependency was measured with a larger sample of 547, drawn from five age groups. The outcomes were related to the performance in mathematics examinations, a correlation of 0.32 being obtained overall, with every age group showing positive significant correlations. In this, the more field independent perform much better. The outcomes are interpreted in terms of the increased efficiency in the use of finite working memory capacity resources. It was found that students become more field independent with age but the rate of growth of independence declines with age. Girls tended to be slightly more field-independent than boys, perhaps reflecting maturity or their greater commitment during their years of adolescence. The findings are interpreted in terms of the way the brain processes information and the implications for mathematics education are discussed briefly.

This study examined Programmed Instruction (PI) a panacea to students’ dwindling interest in mathematics. Descriptive research of survey design was adopted for the study. A questionnaire was designed to collect data from a sample of seven hundred and fifty (750) respondents which include 700 Students and 50 Teachers from Public and Private Secondary Schools in Ado-Ekiti Local Government Area of Ekiti State in Nigeria. The study revealed that usage of programmed instruction beef up curiosity in mathematics students and resulted to greater retention and mastery of subject matter. Also, the study revealed that lack of trained personnel to help guide students in the use of programmed books, scarcity of programmed books in the society, high cost of procuring programmed books and machine and lack of necessary infrastructural facilities have been the factors militating against the implementation of programmed instruction in schools. Based on the findings, it was recommended that curriculum experts should develop various using the programmed instruction approach. Government should release fund for the development of programmed books and school authority should encourage their teachers to attend seminars and workshops, were they could gain knowledge of how to implement programmed instruction and other pedagogical skills that will enhance the teaching and learning of mathematics. Also, there should be provision of necessary infrastructural facilities in schools for easy implementation of programmed instruction.

Mathematics is well known as a subject area where there can be problems in terms of understanding as well as retaining positive attitudes. In a large study involving 813 school students (ages approximately 10-12) drawn from two different school systems in Pakistan, the effect of limited working memory capacity on performance in mathematics was explored along with a survey of areas of difficulty and student attitudes. This involved looking at student perceptions of their experiences, the nature of the difficulties they have with mathematics and possible reasons for these difficulties. The overall aim is to explore the extent of the effect of working memory and to gain insights so that practical ways forward to enhance mathematics education can be identified. It was found that limited working memory capacity has a very strong influence on performance, confirming other studies. Indeed, if the cognitive load exceeds the capacity of working memory, understanding becomes a casualty, with consequent attitude deterioration. Students need to be able to see that mathematics has a purpose in being able to be applied to real-life situations. However, attempts to develop applications may often generate further working memory overload. Curricula devised by those outside the classroom can sometimes be inappropriate while topics causing the greatest problems at these ages and include areas of geometry, statistics and the applications of mathematics.

Effective school administrators and teachers are those who provide the least restrictive learning environments for all students. The main goal of this study was to analyze the effects of inclusive science education on the general education population of middle school students’ scientific conceptual understandings. The study was designed as a quasi-experimental model and conducted in a middle school in a large urban school district in Midwestern US. Approximately 4% of students in the school were receiving special education services. The participants in the study were selected through non-random selection. The participants of this study included 20 students without disabilities in each classroom with a total number of 120 students from a total of six different middle school classrooms. The study included two classrooms (one inclusive and one non-inclusive) for each grade level (6, 7, and 8). The conceptual change of students without disabilities was measured using the Density Assessment, which included 20 multiple choice questions. SPSS program was used for data analyses. Paired samples t-test and a multivariate group analysis test were conducted to investigate significant differences on students’ conceptual understandings. The findings showed that the effect of inclusive education was significant and positive on the conceptual understanding of students without disabilities in inclusive science classrooms.

The study investigated differences in students’ reported overall test anxiety before, during, or after test taking among two school-levels and gender. Differences among three test anxiety components (thoughts, off-task behaviors, and autonomic reactions) were also examined. Participants were 725 primary (349 females, 376 males) and 375 middle (180 females, 195 males) school students from a metropolitan city in Turkey. Turkish students’ reported overall test anxiety declined from primary to middle school, with females showing higher test anxiety throughout school years. Whereas students rated thoughts high, autonomic reactions were rated low; followed by off-task behaviors. Female and male students did not differ in thoughts and autonomic reactions. School-level differences were found in off-task behaviors and autonomic reactions. The pattern of Turkish students’ overall test anxiety derived as a combination of thoughts, off-task behaviors, and autonomic reactions was discussed, and educational implications were offered.

This study explored in a sample of 560 high level education students their judgment formation to perceived self-efficacy to solve mathematical tasks. Students had to read 36 experimental vignettes describing educative scenarios to learn mathematics. Each scenario presented four manipulated pieces of information (learning modality, task difficulty, task relevance, and structure). After reading each scenario students were required to provide judgments regarding their believed self-efficacy to solve mathematical tasks described in the vignette by using a scale. Results showed that in regard to how students perceived their self-efficacy they could be grouped in two clusters (high and moderate). Most relevant factors to their judgment formation were task difficulty, task relevance and structure. Here, both groups used the same cognitive algebra mechanism to integrate factor information. Here, students valuated academic performance and feedback (e.g. difficulty and relevance) as most relevant even when they are conscious that learning is a primordial target. These and other results are discussed in the paper.

The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of education, the anxiety in form teachers in primary school regarding teaching mathematics is important. Within this context, the objective of this study is to investigate the effect of mathematical thinking states of form teachers on their anxieties regarding mathematics teaching. The sample group comprises 194 form teachers working in state schools of Bagcilar district, Istanbul province in the spring term of 2015-2016 academic year. As data collection tools, mathematical thinking scale and anxiety scale for the mathematics teaching anxiety of form teachers were used. To test the predictive power of mathematical thinking regarding the mathematics teaching anxiety, Multiple Linear Regression Analysis was used. It was found that the form teachers had high mathematical thinking scores and had low anxiety scores. A low degree, negative and significant correlation was found between the mathematical thinking and anxiety of form teachers regarding mathematics teaching. Moreover, it was found that mathematical thinking had an effect on the anxiety in form teachers regarding mathematics teaching.

Mathematics educators have reported on many issues regarding students’ mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts. This study aimed to investigate the opinions of primary-school teacher education students in terms of their perceptions of difficulty level of the mathematics courses, change in their achievement, if there is any, and interest in mathematics after completing these courses, and factors affecting their achievement and interest level in these courses. Being qualitative in nature, this study was a case study. The data were analyzed using the content analysis and descriptive methods. According to the results, most students stated that they faced mathematics course content with unexpected level of difficulty. After taking basic mathematics courses, the percentage of students with decreased level of interest and achievement in mathematics was found higher than the students who experienced an increase in their interest and achievement. Students underlined such significant factors for the change of their interest and achievement in mathematics as prior knowledge, lecturer(s), and content coverage. Finally, most of the students viewed mathematics courses as a beneficiary tool for their professional development.

Anxiety that students experience during test taking negatively influences their academic achievement. Understanding how students perceive tests and how they feel during test taking could help in taking effective preventive measures. Hence, the current study focused on assessing children’s perceptions of tests using content analysis. The sample consisted of 1143 participants (566 females and 570 males) attending 3rd (n = 320), 4th (n = 420), 5th (n = 197), and 6th (n = 206) grade classes in three public schools in Istanbul, Turkey. The findings indicated that three main domains emerged from the data. The domains and the categories under each domain were as follows: evaluation (grades, success vs. failure, learning and development, and intelligence), emotions (excitement, fear and anxiety, happiness, curiosity, mixed feelings, and disappointment), and experiential process (answering questions, studying, difficulty, thinking, having fun, cheating vs. honesty, and silence). Understanding students’ experiences with testing early on in their education will give researchers and practitioners the chance to plan effective applications for treatment and prevention, which would influence students’ future achievement and experiences. The study findings could also help teachers and school counselors plan more effective teaching and counseling programs that take into account students’ anxiety levels during tests.

This study investigated prospective mathematics teachers’ reflections on the experience of designing and conducting one-to-one clinical interviews with middle school students in the context of an elective course on use of video in teacher learning. Prospective teachers were asked to write about weaknesses and strengths in student understanding as well as their own performance as an interviewer in terms of asking questions and responding to student thinking in their reflections on conducting clinical interviews. Furthermore, prospective teachers were also asked to reflect on what they would do differently in order to conduct better clinical interviews.  Nature of prospective teachers’ reflections were analyzed by using existing frameworks (through constructs of reflection-on-action and reflection-for-action) and by using thematic analysis. Results of data analyses revealed that prospective teachers had more difficulties in providing meaningful reflection-for-action which was related to alternative decisions and planning for future similar interviews. Thematic analysis results revealed prospective teachers’ learning were grouped under three categories: conducting clinical interviews as part of being a teacher, complexity of conducting clinical interviews, and personal theories about middle school students. There are implications for both teacher learning and research.

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 qualitative case study is to investigate prospective mathematics teachers’ subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the most successful universities in Turkey were the participants of the study. The data was collected through four tasks containing basic algorithms. More specifically, the Ones Task assessed participants’ understanding of the underlying place value concepts of standard algorithms. The Andrew Task and the Doubling Task required participants to conceptualize and interpret nonstandard strategies. In the Division Task, participants were expected to provide in-depth explanation for the difference between multiplication and division and between partitive division and measurement division. The content analysis method was used to analyze the data. The results of the study revealed that more than half of the prospective mathematics teachers had knowledge about the place value of 1 in addition and subtraction, and also multiplication. However, most of the prospective teachers could not explain the underlying principle and the meaning of the nonstandard algorithm in subtraction. Similar to their knowledge on subtraction, prospective teachers’ knowledge on division was limited.

Within the scope of restructuring the secondary education efforts of the Ministry of National Education, it has been decided to abrogate the secondary school level teachers' schools. The purpose of this study is to evaluate Turkey's teacher education practices and the quest for qualified teacher education through the perceptions of the graduates of these high schools. The study is a phenomenological research based on interpretation. Data were obtained through interviews. The data obtained were analyzed in the vetting of candidate teachers, the curriculum to be used in the education process and its accreditation, and whom to be certified as teachers. The main results of this study, conducted with participants from the secondary school level teachers schools’ graduates, show that, in terms of teacher education, teachers' high schools present various opportunities by enrolling successful candidates, educating them as leaders, preparing them for multi-cultural environments. In order to educate qualified teachers, the participants suggest teacher education programs should include individual and group activities, involve training, arts, basic science, and values education courses. In the selection and approval of tenure teacher, besides academic achievement and diploma, advanced communication skills, patience, confidence, and patriotism should be sought in the candidates.

The aim of this study is to explain and predict prospective preschool teachers’ academic achievements depending on goal orientations they adopt, their critical thinking dispositions and self-regulation skills. Research sample constitutes of 265 prospective preschool teachers attending the Faculty of Educational Sciences in Cukurova University. Research data were collected with the 2x2Achievement Goal Orientations Scale, Self-Regulation Questionnaire and Critical Thinking Disposition Scale. Demographical information about prospective teachers’ gender, age, grade level and academic grade point averages were obtained with the personal information form. For the analysis of research data, One-Way Analysis of Variance (ANOVA) and discriminant analysis were used. In this study; it was concluded that prospective teachers with high level of learning approach orientation, critical thinking disposition and self-regulation skills had higher levels of academic achievement. However, it was determined that distinguishing variables among prospective preschool teachers with low, medium and high level of academic achievement included learning approach, performance approach goal orientation and critical thinking disposition and self-regulation skills. Correct classification percentage of distinguishing variables according to prospective preschool teachers’ levels of academic achievement was determined as 48.8%. Considering the fact that prospective teachers’ achievement-goal orientations, critical thinking dispositions and self-regulation skills may increase their academic achievement and shape their future teaching performances, it is suggested to implement programs that will contribute to the development of such skills and orientations among prospective preschool teachers.

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.

The study investigates the views of social studies teachers (SSTs) about the advantages and challenges of interactive whiteboard application in social studies lessons. Data was gathered using a questionnaire consisting of 58 items. The sample comprised 483 male and female SSTs from different governorates of Oman who were provided with three training programs about using Interactive Whiteboard (IWB). Data were analyzed by using: Means, T-test and One Way ANOVA.  The results indicated that they considered its effect to be significant in supporting students’ learning process by enhancing the quality of learning environment, excitement of use and importance of use in social studies lessons. It also showed that they used it widely in their lessons but they experienced moderate challenges, including related to technical support and the availability of IWB in all classes. The results also indicated that teachers’ gender and experience influenced their views. The study recommends the provision of more technical support to teachers.

Gender differences in mathematics learning outcomes are still evident in many countries participating in large scale international testing, as well as in national testing in Israel, the context in which the study reported here was conducted. The participants were 281 students from three Israeli elementary schools and were in grades 4 and 6. The students completed a questionnaire with items based on a selection of variables included in explanatory models for gender differences in mathematics. It was found that many students held gendered beliefs related to mathematics learning, particularly when the questions asked related to themselves or to significant others in their lives (parents and teachers); the views of the majority of students were gender neutral. When presented with two photographs -a man, and a woman- and asked who was the one more likely to work with mathematics, it was clear that the students’ choices and explanations echoed perceptions of mathematics as a male domain.