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.

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.

Because of the importance of intellectual disability teenagers fulfilling the daily life skills by themselves, an animation that shows the intellectual disability and autistic high school students an interactive shopping skill by means of iPad was played and its effect on providing them with the independent shopping skill was analyzed. 3 intellectual disability and autistic students attending The Umit Kaplan Vocational Education Center that offers a High School- Level Training in Ankara have participated in the research in 2013-2014 School Year. The ages of the students range between 17-19 years. The dependent variable of the research is the participants’ levels of performing the shopping skills from a supermarket. The independent variable is, however, the animation practices that indicate the interactional shopping skills presented through iPad. The design of the research is the “multiple probe design across subjects” which is one of the single-subject designs.

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 paper reports on research into the practice of learning rounds in Scotland. Learning rounds are a form of collaborative professional development for teachers based on the instructional rounds practice developed in the USA. In recent years learning rounds have gained high profile official support within education in Scotland. The research finds that what teachers in Scotland do when they say they are do-ing learning rounds varies widely from school to school and deviates significantly from the practice of instructional rounds. The implications of this for who is learning what in the practice of learning rounds is considered. The wider implications of the Scottish experience for the development of in-structional rounds practice in other countries is also considered as are the implications for promoting collaborative professional development practice more generally.

The major purpose of the study was to investigate factors which contribute to the decline in students’ academic performance in junior secondary schools in Botswana since 2010. The study was mainly quantitative and used the positivist inquiry paradigm. The study employed critical theory for its theoretical framework. Questionnaires were used to gather data from two hundred participants. Some documents were analyzed to supplement the information collected through the questionnaire. Data were analysed using the computer package known as Statistical Package for the Social Sciences (SPSS) version 15. The findings of the study showed that there were several factors that can contribute toward students’ low academic performance ranging from low staff morale to students unpreparedness for the examinations. The study, therefore, recommends that high teacher’s morale, availability of resources and parental involvement are critical for the attainment of high quality education in Botswana secondary schools. Furthermore, the findings of the study have implications for research and practice.

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.

The aim of this study was to determine mental models of 334 pre-school children concerning school. Children in the city center of Kastamonu in the Western Black Sea region of Turkey were included. Content analysis was conducted on pictures drawn by the children, and the models were split into two groups, scientific and nonscientific. The scientific group was split into three types; the nonscientific group, into four. About 40% of the children had a scientificbased school perception, while 60% were nonscientific. No significant difference was found between the mental models of females and males. Few studies have investigated mental models, so this study fills a gap, but further studies would aid the understanding of the relevant pedagogic architecture.

There is a lack of data about the levels of satisfaction among medical students in regards to their academic activities in Malaysia. Therefore, the objective of this study was to fill the gap in the existing knowledge. A cross sectional study was carried out at the International medical school, the Management and Science University of Malaysia, from December 2011 to February 2012. A total of 200 medical students were participated in this study through random sampling. The questionnaires used in this study consisted of socio-demographic questions and questions about the existing academic system. The study found that, despite there was the satisfaction by medical students from some academic aspects, improvements in other areas, such as providing digital library and career counseling, are urgently needed. The present study provides the world community with factual information about the current situation in medical education in Malaysia. The results of the study might assist Malaysian administrators and authorities in better decision making.

This study investigated the effects of analogy on the elimination of students’ misconceptions about direct current circuits, students’ achievement and the attitudes towards physics lessons. The sample of this study consisted of 51 11th grade students from two different classes. While one of the classes was the experimental group where analogy was used in the lessons, the other class was the control group where the traditional methods are employed in lessons and this selection was made randomly. When the obtained results were examined, it was seen that teaching with analogy has a significantly positive effect on the elimination of misconception and achievement although it has almost no effect on the attitudes of towards physics.

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.

The major purpose of this study was to explore the social studies teachers’ perceptions and understandings of citizenship education in primary schools in Botswana. The study adopted a post colonial lens by using the notions of the pedagogy of imperialism and contrapuntal criticism to interrogate the teachers’ perceptions of citizenship education. The study was qualitative in nature and employed the naturalistic inquiry paradigm. Qualitative methods were used to collect data. Data were analyzed using grounded theory through the constant comparative technique. The findings of the study revealed that social studies teachers perceived teaching about Botswana as citizenship education. The paradox lies in the teachers’ view that knowledge about Botswana’s cultures, histories and politics constitutes citizenship education. Therefore, the study recommends that citizenship education be re-imagined to take into account both the local and global trends on citizenship education. Furthermore, teachers have to be cognizant of the politics of mainstream academic knowledge and work towards knowledge construction devoid of imperialist ideologies.

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.

Analysis of principles knowledge representation in information systems led to the necessity of improving the structuring knowledge. It is caused by the development of software component and new possibilities of information technologies. The article combines methodological aspects of structuring knowledge and effective usage of information resources which are designed for the scientific and methodological study of practical recommendations in Digital learning implementation. It is shown at the paper that one of the most important problems, which face the processing of knowledge or construction systems, is knowledge representation. The main idea of the paper is increasing the efficiency at the university learning process on the basis of a possible applications and rational structuring knowledge. The proposed concept of using information resources of Digital Learning is based on the idea of using the principles of abstraction, encapsulation, modularity, hierarchy, typing, concurrency preservation and implementation in such stages of this process as algorithmic support of knowledge structuring and structured transfer of knowledge to students. The topic of the article is unique as we try to see Digital learning in multidisciplinary aspects: education, mathematics, statistics. The article combines a theoretical approach to structuring knowledge that is based on the integrated usage of fuzzy semantic network, theory of predicates, Boolean functions, theory of complexity of network structures and practical aspects and ways of construction Digital Learning Systems at the University.

The purpose of the present study is to investigate pre-service history teachers’ perceived self-efficacy and the effect of pedagogical formation training on this perception. The study is based on a one-group pretest-posttest research design, which is a type of pre-experimental design. For the purpose of the study, in the first week of the formation training, the “Teachers’ Sense of Efficacy Scale” developed by Tschannen-Moran and Hoy and adapted to Turkish by Capa, Cakiroglu and Sarikaya was administered as a pre-test to a group of 178 pre-service history teachers who underwent pedagogical formation training in 2016-2017 academic year in two different universities in Turkey. The same scale was administered again as a post-test at the end of the 28-week training. The study has found out that the pedagogical formation training did not make a significant difference in pre-service history teachers’ perceived self-efficacy except for the classroom management subscale, in which the self-efficacy scores of pre-service history teachers decreased after the pedagogical formation training.

The purpose of this study was to develop a scale for assessing teachers’ self-determination instruction and to test the validity and reliability of this tool. The subjects included 315 teachers recruited from elementary and junior high schools nationwide in Taiwan. The Teaching Self-Determination Scale (TSDS) developed in this study aimed at assessing the extent to which educators teach students knowledge and skills related to self-determination. The 24-item TSDS is comprised of four subscales including Self-Realization, Psychological Empowerment, Self-Regulation, and Autonomy. Data collected were analyzed using descriptive statistics, correlation analyses, t tests, and factor analyses. Findings showed that the TSDS has satisfactory psychometric properties. The internal consistency reliability coefficients (Cronbach’s α) ranged from .76 to .93, while the test-retest coefficients ranged from .71 to .87. Findings of the exploratory factor analysis showed that the four TSDS subscale factors can be reasonably extracted, which can explain 59.7% of the total item variance. The confirmatory factor analysis results further indicated a good fit between the measurement model and the sample data (GFI = .96, AGFI = .91, RMSEA = .08, NFI = .97, RFI = .93, IFI = .98, TLI = .95, CFI = .98). Suggestions are provided for future research.

Empirical directions to innovate e-assessments and to support the theoretical development of e-learning are discussed by presenting a new learning assessment system based on cognitive technology. Specifically, this system encompassing trained neural nets that can discriminate between students who successfully integrated new knowledge course content from students who did not successfully integrate this new knowledge (either because they tried short-term retention or did not acquire new knowledge). This neural network discrimination capacity is based on the idea that once a student has integrated new knowledge into long-term memory, this knowledge will be detected by computer-implemented semantic priming studies (before and after a course) containing schemata-related words from course content (which are obtained using a natural semantic network technique). The research results demonstrate the possibility of innovating e-assessments by implementing mutually constrained responsive and constructive cognitive techniques to evaluate online knowledge acquisition.