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.

Children from southern and northern Brazil have a basic knowledge of plants, which they observe during their everyday life. Children ages between 3 to 10 years old (kindergarten & primary school), but the majority of them in the age group of 4-5 (total 145) were asked to draw what they think is a plant (total sample=332). Afterwards, a equal number of boys and girls randomly chosen were interviewed individually (mix ability) to list plants they said they knew and where they had seen them. Then they were asked to give exemplars of the local plants which they had seen. These data from the exploratory study show that pupils are in touch with their environment and recognize plants that are part of it. The everyday experiences of these children in school and out of school, at home and in leisure activities with family and friends, contribute to their knowledge about plants and such knowledge is complemented in the preschool and primary school classes by appropriate teaching. Educational implications of these findings are discussed.

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.

The purpose of the research is to evaluate pre-service preschool teachers' knowledge about environment by analyzing their drawings about it. 70 first grade, 99 second grade, 56 third grade and 44 fourth grade, with a total of 269 students have been evaluated in this research. This qualitative research was made with social structuralism vision. The data used in this research were gathered by draw and tell conversation technique, where pre-service teachers were asked to draw the first thing when they think about environment and explain it. When analyzing the data, both qualitative and quantitative techniques were used. After analyzing collected data, it is seen that most used object in drawings are tree, human, house and sun, respectively. 4 themes and 12 sub-categories under these themes are detected by pre-service teachers' drawings. The most drawn theme by pre-service teachers is Theme 3: a place which affected/designed by third persons, while the least drawn is Theme 4: a place where humans, animals and plants lives together. 10 categories have seen after analyzing explanations of the drawing. Most explanation seen in the places that supports human life category. Independent variables of the research (sex and grade level) and themes and explanations of the drawings are statically and meaningfully related to each other. The most significant result of this research is that pre-service preschool teachers have human-centric system of thought about environment.

Personal connections to agriculture have decreased considerably in Finland during the last few decades due to struc-tural changes in agriculture. In this study, we will elucidate the understanding and conception of agriculture amongst urban pupils who have grown up during the 21st century. The research strategy consists of intervention in form of a farm visit, with pre- and post-assessment. The methods for collecting data were drawings for gaining a diversified un-derstanding of how pupils understand, experience and conceptualise agriculture. The drawings were analysed by visual content analysis. In addition, interviews, analysed by inductive content analysis method, were used to clarify the re-sults. Qualities of farms as authentic learning environments are defined and studied The study revealed that many pupils had irrational conceptions of agriculture before the farm visit (38 %), but decreased significantly after the visit. One of the explaining factors for these irrational conceptions was considered to be the influence of media sources. Farms as educational learning environments were able to correct pupils’ false conceptions. A realistic image of agriculture is of significant value for becoming an aware and responsible consumer as well as choosing a career in agriculture.

The major purpose of the study was to examine the relationship between teacher self efficacy and burnout. In order to collect the related data, “Maslach Burnout Inventory” and “Teacher Sense of Efficacy Scale” were used. The sample of the study consisted of 163 randomly chosen teachers who worked in various primary and secondary state schools in 2014-2015 academic year. The results of the data analysis put forward that there was significant, medium and negative correlation between teacher self efficacy and burnout levels of the participants. Hierarchical multiple regression analysis results, which were run to assess the relationship between the two variables better, indicated that teacher self efficacy predicted burnout negatively. In the light of these findings and other related studies several suggestions were made.

Grolnick and Ryan assume that an autonomy supportive environment leads to higher learner engagement and thus to greater achievements and deeper understanding of content. In school, knowledge acquisition (rote learning as well as conceptual learning) are regarded as most important. In this study, we examined the effects of teachers’ autonomy supportive vs. controlling behavior on knowledge acquisition as measured by reproduction as well as at higher cognitive levels. The sample consisted of seventh graders (N=85; M=12.85 years; SD=1.6 years). One week in advance to the teaching unit, the students were tested for prior knowledge using two knowledge tests. Test 1 used multiple-choice items to address rote learning and Test 2 used an open response format to address conceptual learning. One week after the teaching unit, the same knowledge tests were used to assess the learning outcome. Analysis of the knowledge tests suggests that the students taught in an autonomy supportive environment develop greater conceptual knowledge than those taught in a controlling environment. Rote learning was not affected.

Motivation is an inner force that activates and provides direction to our thought, feelings and actions. Two main characteristics of motivation are goal directed behavior and persistence. Motivated people persistently work for the goal until it is achieved. This paper explores the nature of motivation in the context of learning and seeks to relate it to self-efficacy, self- concept, confidence and self-esteem. Motivation is presented as a ‘second order’ variable be- ing very much dependent on attitudes as well as perceived goals, needs and value. Ways of assessing motivation are considered and the typical use of questionnaire approaches is criticized heavily. These can measure what a person perceives but the perceptions may or may not correspond to reality. Indeed, the entire mathematical basis of data handling with questionnaires is questioned. A typical questionnaire is then used with a large sample of 600 1st and 2nd year science intermediate students, drawn from the province of the Punjab in Pakistan and the data obtained examined statistically. Correlations between the responses patterns in all 30 Likert-type questions were examined using Kendall’s tau-b while Principal Components Analysis, using varimax rotation, looked at the questionnaire overall as well as sub-groups of questions. Correlation values were found to be very low, suggesting no factor structure and, indeed, the factor analysis showed that there is no factor structure with the questionnaire used with this large population. Chi-Square, as a ‘contingency test’, was applied to compare the distributions of responses, gender separated. Gender differences were found only in a minority of questions. It is argued that motivation is highly multi-variate and that no simple factor structure is to be expected. It is also argued that, with ordinal data, following no prescribed pattern of distribution, only non-parametric statistics are appropriate. The traditional approaches are statistically incorrect and, as a result, will often miss key insights.

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 aims to define Roma mothers’ views regarding their children’s education and their tendency towards crime. The study is based on an illustrative case study method. The participants of this study are mothers of Roma children between the ages of 4 and 6 who live in Konya, Turkey — more specifically in the Yenimahalle neighborhood in the town of Karatay and who do not attend any preschool programs. As a data collection tool, a questionnaire prepared by the researchers is employed, while in data analysis, descriptive analysis is used. The Roma mothers articulated that they want their children to have education and jobs; that they do not want their children to suffer in the same way they did; that the Roma culture prevents children’s education and therefore the mothers prefer to send their children to private schools, boarding schools or to schools far away from their neighborhoods by taking school buses; that they want their children to be judges, lawyers, nurses and teachers. The mothers stated that they meet the basic needs of their children; that they watch TV together and/or do housework together with their children. They also said that when their children commit a crime, they beat their children; they get angry with them and scold and/or complain to their fathers. They finally added that they can take measures for the children’s not committing a crime by talking to the children or by scolding them. Additionally, Roma mothers state that by taking the case to the fathers they can prevent their children from committing crimes.

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.

This paper presents a comparative research project on pre-vocational education in lower secondary schools in seven European countries. The primary aim of the study was to better understand how the formal pre-vocational education curriculum is interpreted and shaped by individual teachers. The countries covered are Austria, Germany, Hungary, Latvia, Poland, Portugal and Scotland. Two research methods have been used. First, a content analysis of the relevant curricula was carried out, focussing on how, and to what extent, pre-vocational education competencies are embedded in the official curriculum in the seven countries covered by the study. Second, 75 teachers took part in qualitative expert interviews about their implementation of the relevant curriculum. This research builds upon previous studies in education and employment and in particular, on a theoretical framework that explores the differences between the ‘prescribed’ curriculum and the ‘enacted’ curriculum. This study will argue that, although it is possible to identify a distinct pre-vocational curriculum within each region in the seven countries, this curriculum is, in practice, taught very differently within the schools and that the differences in curriculum implementation can be explained, amongst other factors, by the availability of resources and the initial and further training of teachers.

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.

Chemistry is one of the subjects that students sit for in the Kenya Certificate of Secondary Education (KCSE). The attainment of students in chemistry in KCSE has been quite low. An analysis of the past Chemistry examination papers taken in KCSE reveals that the papers test students’ competencies in various aspects of Cognitive Science Process Skill of Evaluation (CSPSE). It was hypthesised that school characteristics could be influencing students’ acquisition of various aspects of CSPSE. The school characteristics investigated were social set up (single – sex and co-educational schools) and school location (rural and urban schools). The aspects of CSPSE investigated were: reformulation of scientific statements, evaluation of experimental procedures, evaluation of inferences from scientific data, and evaluation of scientific arguments. Cross- sectional survey research design was used in this study. Cognitive Science Process Skills Test (CSPST) was constructed and administered to a stratified random sample of 386 Form Three Chemistry students drawn from Public County Secondary Schools in Rift Valley Province of Kenya. The findings of the study show that students from single-sex secondary schools performed significantly better than their counterparts from co-educational schools in all the categories of CSPSE. The school location did not have a significant influence on students’ performance on CSPSE.

Scientific literacy has been increasingly considered a major goal of science education. While textbooks remain the most widespread tools for pursuing this goal within classrooms, they have been slow to adapt to the most recent epistemological paradigms, often still conveying distorted views of science and technology. Accordingly, we present herein a theoretical framework specifically intended to highlight the potential of textbooks to promote students’ scientific literacy. It is additionally argued that, often, the misconceptions conveyed by textbooks represent obstacles to the acquisition of a fair image of science and, therefore, to the acquisition of scientific literacy. Finally, a textbook analysis is suggested.

This study focused on the phenomenon of success at work asking whether it would be possible to find factors from top workers’ children and school experiences that would explain their later success. This study was a part of a larger research in which Finnish top workers, employees of the year, who have been selected as successful professionals of their field in Finland were researched. This article focuses on the narrative data collected through qualitative interviews. In this article, their childhood and adolescence experiences were analyzed in order to find out whether successful development could be enhanced already in early phases of life. This study employed the narrative interview method through which top workers were asked to reminisce their childhood and adolescence experiences. What factors have supported their success and how have they coped with adversities in life? According to the results, the most important key to success at work adopted from home was caring upbringing as parents did not set any ambitious goals for success for their children but made the children think about their future and have an optimistic attitude to life. The role of careers counseling at school was also discussed. Analyzing these factors is important if aiming at helping people’s chances of finding an occupation they fit and in which they can use their talents. Experiences and events taking place in childhood and adolescence can be crucial, or at least, direct people in a right direction.

It is well established that girls and boys perform differently in traditional examinations in most countries. This study looks at a sample of 754 school students in Kuwait (aged about 13) and explores how boys and girls differ in the performance in a range of tests related to learner characteristics. The fundamental question is how boys and girls differ in these learner characteristics and do any of the differences relate to examination performance. If the development of such learner characteristic is open to experiences in the formal learning situations, then this opens the door to possible ways to encourage the development of such characteristics, with possible concomitant enhancement of academic performance. It is found that girls outperform the boys in tests which measure extent of field dependency, extent of divergency and skills with the visual-spatial (all at p < 0.001). Confirming previous studies, the girls markedly outperform the boys in all school subject examinations but there are no differences in their measured working memory capacities. In looking at the relationships between various combinations of the measurements made, it is found that boys are much more dependent on working memory than girls in performing in examinations, and the boys are also much more dependent on employing skills related to divergent thought in achieving success in examinations. These observations are interpreted in terms of the way boys and girls learn, with girls being more conscientious and willing to memorise than the boys who, in turn, have to rely on working things out for success: girls tend to memorise; boys tend to try to work it out. This may offer an explanation of the greater success of girls in typical examinations where the accurate recall of information is so often the key to success.

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.

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.