This study aims to explore the role of lesson analysis in the development of mathematical knowledge for teaching. For this purpose, a graduate course based on lesson analysis was designed for novice mathematics teachers. Throughout the course the teachers watched videos of group-mates and discussed the issues they identified in terms of student-teacher relationship for a student centered instruction. Analysis over the video made teachers notice points and came to realize the thoughts of students; they had otherwise missed at the classroom. They achieved improvements regarding the awareness of the need to identify the cases presenting the most difficulty to the students in terms of teaching, and the necessity to take precautions regarding such points, to learn about the reason of the difficulty, and to pay attention to the statements by the students. Therefore, it is possible to note that the teachers improved themselves in terms of student’ knowledge with respect to the mathematical knowledge for teaching.

This study tested and integrated the effects of an inquiry-based didactic method for preschool science in a real practical classroom setting. Four preschool classrooms participated in the experiment (N = 57) and the children were 4–6 years old. In order to assess children’s attention for causal events and their understanding at the level of scientific reasoning skills, we designed a simple task in which a need for information gain was created. Compared to controls, children in the post-test showed significant learning gains in the development of the so-called control of variables strategy. Indeed, they executed more informative and less uninformative explorations during their spontaneous play. Furthermore, the importance of such programmes was discussed in the field of STEM education.

* Note: This paper was published as an inadvertent duplicate publication with an another journal.

In order to plan and enact appropriate learning environments in physical education (PE) teachers are increasingly directed to models based practice. The Sport Education model is one of these models for PE curriculum and teaching design that informs the content and pedagogical direction of sport teaching in PE. Despite Sport Education being well researched internationally, there are few examples of research consideration of this model in Australian PE in the last ten years. In this paper the aim is to appreciatively examine two secondary school PE teachers use of the Sport Education model in the context of their familiarisation of the new Australian Curriculum for Health and Physical Education. At the same time, exploring the use of Appreciative Inquiry to examine models based practice in PE was also an aim of the study. Data were collected from pre and post interviews with the teachers and an end of unit survey of the Year 9 students undertaking the Sport Education unit. The Sport Education model was found to be most suitable to teaching for student evidence of the personal and social skills elements of the Achievement Standard. Appreciative Inquiry was found to be suitable for foregrounding existing examples of teacher use of models based practice, highlighting what it is about the teachers that led them to stay with the model when the literature particular to Australian PE suggests mostly a continuation of the “traditional” physical education method.

The main purpose of this study is to determine the amount of time-dependent learning of "solving problems that require establishing of single variable equations of the first order" of the seventh grade students. The study, adopting the screening model, consisted of a total of 84 students, including 42 female and 42 male students at the seventh grade. Data was collected using an assessment tool consisting of 10 open-ended questions. The findings show that the learning group of 84 students were behind the value closest to the full learning level by a score of 0.013. While the female students reached the lower limit of 0.987 specified for the full learning level in a period of 3.2 course hours, the male students reached this limit in 4.0 course hours. The learning amount of 0.999, which is the closest value to the full learning level, was reached by the learning group in a period of 9.7 course hours, the female students in 8.5 course hours, and the male students in 11.3 course hours. In addition to this, the data obtained showed that learning difficulties among to the learning groups decreased as the space below the curve of time and learning amount decreased. As a result of the study, it was recommended that it is possible to determine the closest course periods for the full learning level for each of the gains found in all levels of education and all teaching programmes, which define certain learning outcomes within a certain time.

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.

Several studies have been conducted on technological, pedagogical content knowledge and web-based education. In this study, the Technological Pedagogical Content Knowledge and Educational Use of Web Technologies (TPCK-W) were analyzed in addition to the self-efficacy and attitudes of 33 teachers from eight different branches carrying out their duties in 19 countries of the European Union (EU). In this study, the Technological Pedagogical Content Knowledge-Web (TPCK-W) Survey developed by Lee, Tsai, and Chan was used. The data obtained statistics software was analyzed using SPSS for Windows 17.0 statistics software. As a result of the analysis, it was revealed that TPCK-W self-efficacy of teachers carrying out their duties in EU countries was high and their attitudes were positive; and age, experience, and gender did not affect their TPCK-W self-efficacy and attitudes. Moreover, participants’ general web attitudes changed positively, depending on their web communication, web content, and pedagogical use of the web.

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.

This paper describes a pedagogical framework that teachers can use to support students who are engaged in solving open-ended problems, by explaining how two Japanese expert teachers successfully apply open-ended problems in their mathematics class. The Open-Ended Approach (OPA) framework consists of two main sections: Understanding Mathematical Knowledge and Applying Mathematical Knowledge. The sections were cross-analyzed with students’ responses to provide a comprehensive analysis of how teachers use various techniques to support students. It is proposed that teachers can use this framework to create an environment that promotes learning with open-ended as well as other open problems in their mathematics classroom. The OPA framework can contribute to teacher education, the design of mathematics curricula and to educational research.

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.

This study examines the effect of project based learning on 8th grade students’ statistical literacy levels. A performance test was developed for this aim. Quasi-experimental research model was used in this article. In this context, the statistics were taught with traditional method in the control group and it was taught using project based learning in the intervention group. Statistics was given for four weeks according to pro ject based learning at intervention group. The performance test was applied to total 70 students as pre and post-test. Participants are from two different classes of a middle school in Trabzon. The data were analysed using Rasch measurement techniques. This measurement allowed both students’ performance and item difficulties to be measured using the same metric and placed on the same scale. All raw scores converted linear score in order to obtain equal interval scale. Acquired linear scores were compared. In the analysis of gained datum covariance analysis are used. According to gained results in pre-processing application there isn’t substantial difference between the achievements of intervention group and control group; but after processing between the achievements of intervention group and control group there is a substantial difference statistically in favor of intervention group. The results of the study revealed that the project based learning increased students’ statistical literacy levels in the intervention group.

This study investigates the effect of the project based learning approach on 8th students’ attitude towards statistics. With this aim, an attitude scale towards statistics was developed. Quasi experimental research model was used in this study. Following this model in the control group the traditional method was applied to teach statistics wheras in the intervention group project based learning approach was followed. The attitude scale towards statistics was applied as pre-test and post-tests to 70 students studying at two different 8th grade classes of a middle school in Trabzon during the 2011–2012 Academic Year. The results of the study revealed that the project based learning increased students’ attitude towards statistics in the intervention group. Therefore, the use of project based learning approach during statistics course in mathematics classes is recommended.

Schools and teacher induction programs around the world routinely assess teaching best practice to inform accreditation, tenure/promotion, and professional development decisions. Routine assessment is also necessary to ensure that teachers entering the profession get the assistance they need to develop and succeed. We introduce the Item-Level Assessment of Teaching practice (I-LAST) as a flexible framework-based approach for quantitative evaluation of teaching best practice in the induction stages. We based the I-LAST on a novel framework for teaching best practice, and used Fuller’s scale as a framework for understanding the potential of the I-LAST in providing longitudinal measures for growth. Using the context of a year-long teacher induction program in the Midwestern United States, we collected data through an online survey from 46 teaching supervisors who were asked to evaluate their interns. We used the Rasch partial credit model as a criterion for construct validity, and measured dimensionality and reliability from both Rasch and classical frameworks. The I-LAST was found to be a unidimensional, valid, and reliable measure for teaching best practice. It demonstrated the ability to provide reliable scores for specific sub-dimensions of best practice, including those which manifest at various stages along Fuller’s scale. Potential uses of the I-LAST to advance understanding of the role of teacher induction programs in fostering productive growth in new teachers is discussed.

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.

Lesson starts are transitional events which may cause management problems for teachers This study sought junior secondary school mathematics teachers’ beliefs about calculator use in mathematics instruction in Botswana and was descriptive in nature adopting a survey design. The sample of seventeen (17) mathematics teachers from four (4) junior secondary schools in the Tutume Sub-district in Central Educational Region was selected through a purposive random sampling procedure. A questionnaire comprising both closed and open ended questions was designed to collect data then the analysis of results was carried out using descriptive and inferential statistics. As an illustration, a t-test was used to test for differences in teachers’ beliefs by gender while a one-way ANOVA was used to test for difference in their beliefs by experience. The study revealed that most of the teachers expressed their lack of confidence and were incompetent with the use of a calculator in their teaching with female teachers feeling less confident to explain different functions of a calculator than their male counterparts. In addition, the study showed that most of the teachers believed that a calculator was a technological tool that could be useful to the students in the future. On the contrary, most teachers felt that the overuse of calculators by the students could hamper the development of basic computational skills. Therefore, it was recommended that school based training on calculator use should be provided so as to empower teachers with the necessary technological skills for effective classroom instruction. The study findings have implications to research and practice as it provides unique and comprehensive data that will lead to insight for curriculum designers, policy implementers and instructional leaders on effective calculator use in math instruction.

This study aimed to comparatively examine the self-efficacy and burnout levels of preschool teachers in Turkey and the United States. Of the general screening models, the study uses the relational screening model. A total of 90 teachers participated in the study. 32 of the participants were from the United States and 58 were from Turkey. The Teacher Self-Efficacy Scale and Burnout Scale were used in the study. The data were analyzed through the Whitney U-Test. According to the analyses regarding the self-efficacy levels of teachers, a significant difference in student participation sub-dimension as well as in total points in favor of the teachers in Turkey were found. However, no significant difference was found between the two countries with regards to teachers’ burnout levels. Regarding the self-efficacy levels of teachers working in Turkey, a significant difference was found in favor of teachers with two to five years of experience in the student participation sub-dimension, while no significant difference was found in the other sub-dimensions and in total points. On the other hand, no significant difference was determined was found between the self-efficacy levels and years of experience for the teachers in the United States.

This exploratory study is concerned about the extent to which a sample of 163 pre-school, primary and secondary Brazilian school teachers, expressed their opinion on how neuroscience might help their teaching and pupils´ learning. Evaluation instruments for Brazilian pupils were analysed. Two questionnaires were completed by the teachers. Results of a quantitative analysis indicated that in general teachers believe that neuroscience may contribute to the teaching and learning of their subject matter. An outline for an elective neuroscience and education course is presented. Educational implications are discussed.

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.

Technological Pedagogical Content Knowledge (TPACK) is a model that explains how teachers use technology more effectively in the context of technological, pedagogical, and content knowledge. Teachers' TPACK competencies play great importance in this regard. Lesson study has also been playing significant roles in the development of teachers' professional trainings. When the researches on TPACK and lesson study have been analyzed, the research is expected to provide significant contributions to the literature. This study aims to present reflections from a lesson study practice that carried out to urge techno-pedagogical competencies of the secondary school mathematics teachers and to reveal the development of teachers’ progress. The study used case study method, and it was conducted with three in-service teachers. The research data were collected through semi-structured interviews, voice recorder, and observation notes. To analyze the collected data, descriptive analysis method was used. The results have revealed that teachers have made much more progress in designing, implementing, and problem solving in terms of TPACK competencies. It has also been determined that teachers’ development of openness to the innovations was limited. This limitation appeared to emerge as a result of teachers’ time anxiety and insufficient knowledge regarding the use of technology.

In order to reflect the integration of the teachers’ content knowledge, pedagogical knowledge, and technology usage skills to the class context and to provide the expected outputs for the program's purposes, it is needed to be revealed the different dimensions of Technological Pedagogical Content Knowledge (TPACK). In this study, it was aimed to investigate the teacher training programmes related to pre-service science teachers’ TPACK. This study was designed as a cross-sectional study. In the 2015-2016 academic year, a total of 269 pre-service teachers (73 of them from 1st grade, 73 of them from 2nd grade, 87 of them from 3rd and 36 of them from 4th grade students) attending Science Education Department participated in this study. As a data collection tool, 7 subscales of “Technological Pedagogical Content Knowledge Scale of Pre-Service Teachers”; namely, technology knowledge, pedagogical knowledge, content knowledge, technological pedagogical knowledge, technological content knowledge, pedagogical content knowledge, and technological pedagogical content knowledge were used. According to the results, as the class level of pre-service teacher increases, their level of technological pedagogical content knowledge increases as well. Moreover, there is a significant difference on behalf of pre-service teachers at the 1st grade in all dimensions of technological pedagogical content knowledge scale.