“Mathematical knowledge for teaching” is a concept indicating the requirement for a specific kind of knowledge required to teach mathematics. Mathematical knowledge for teaching necessitates a more complex structure than what is required to carry out mathematical tasks and the knowledge to do that. The purpose of this study is to realize the adaptation of “Mathematical Knowledge for Teaching -Geometry (MKT-G)” Test that was initially conceived in English to Turkish (or to Turkish culture). During the adaptation process; after the translations of the items, focus group interviews were held with a group consisting of mathematics teacher educators and experienced mathematics teachers, and then the data from 243 elementary mathematics teachers was analyzed via  Item Response Theory (IRT). As a result of the analysis of the test items, psychometric values of the test items indicated that the items in the test performed well in Turkey. Besides, validity and reliability arguments were also tested. As a result, the Turkish version of the MKT-G test is highly reliable and valid to measure the teachers’ knowledge of teaching geometry.

In the current study, the problems posed by pre-service primary school teachers within the context of semi-structured problem formation were analyzed according to their type, cognitive structure, and content knowledge. A total of 134 pre-service primary school teachers attending a state university in Turkey participated in the current study designed in line with the case study design. The pre-service teachers were presented with a table and they were asked to establish a problem suitable for the elementary level using the data given in the table. The data were collected through the established problem statements and written explanations of the participants. The collected data were analyzed by using both content and descriptive analyses. The findings have revealed that the pre-service teachers less preferred real-life problems than routine type of problems and the problems at the level of reasoning than the problems at the levels of knowing and applying. Moreover, nearly half of the pre-service teachers erroneously expressed the grade level for which they established their problem. The results have shown that the pre-service teachers do not adequately use real-life problems and problems at the level of reasoning and that there are deficiencies in their mathematical content knowledge depending on their knowledge of the curriculum.

This study examines the effects of the SCAMPER technique-based educational activities in the simple machines unit of a science lesson on students' academic achievement, motivation and attitude. The study examines the effects of the simple machines unit activities in the science lesson through a paired quasi-experimental design, which is one of the quantitative research methods. The sample group of the research consists of 33 eighth-grade students studying in a middle school in the Ortaköy district of the Aksaray province in 2018–2019. The research uses simple random sampling method. The experimental group was given SCAMPER-based activities in the simple machines unit for 4 hours a week with a total of 16 hours, and lessons were conducted with the control group in line with the curriculum. To collect data within the framework of the research, the 'attitude scale towards science lesson', scale for 'students' motivation towards science learning' and 'simple machines unit achievement test' were used. As a result, when compared to the control group, there was a significant difference in the academic achievement and motivation of the experimental group who performed SCAMPER-based activities in the simple machines unit of the science lesson. There was no significant difference between the attitude scores of the experimental and control group as a result of the study.

The purpose of the current study is to determine pre-service teachers’ perception of individual entrepreneurship and opinions about their critical thinking tendency. As the data collection tools, the Individual Entrepreneurship Perception Scale and the Marmara Creative Thinking Tendencies Scale were used in the current study. The participants of the study are 469 freshman, sophomore, junior and senior students attending the Departments of Pre-school Teacher Education and Primary School Teacher Education. In the analysis of the collected data, frequencies, percentages, independent samples t-test, Mann Whitney U test and correlation analysis were employed. The findings obtained from the analyses have revealed that the pre-service teachers’ individual entrepreneurship perceptions and creative thinking tendencies vary significantly depending on the variables of gender and whether they took a course/seminar on entrepreneurship. The pre-service teachers’ individual entrepreneurship perceptions and creative thinking tendencies were found to be not varying significantly depending on the department attended. The pre-service teachers’ personal entrepreneurship perceptions and creative thinking tendencies were found to be above medium. A highly positive and significant correlation was found between the pre-service teachers’ individual entrepreneurship perception and creative thinking tendency total scores. The pre-service teachers can be encouraged to take the course “Economics and Entrepreneurship” and to participate in certificate programs on entrepreneurship.

Positive attitude towards statistics is a desirable aspect in developing statistical thinking and understanding statistical concept. The attitude towards statistics instrument in previous study on rural school students lacked evidence in the validity analysis. Therefore, there is a need to provide a valid instrument that can assess rural secondary school students’ attitude toward statistics. For this purpose, this study was carried out to investigate the validity and reliability analysis of the Survey Attitude towards Statistics (SATS-36) instrument from a sample of rural secondary school students. The SATS-36 is a 7-point Likert type scale questionnaire, used to measure students’ attitude towards statistics. The SATS-36 instrument was distributed to 217 Tenth grade science stream students from a rural district in Sabah, Malaysia, which comprised of 66 (30.4%) boys and 151 (69.6%) girls. A second order Confirmatory Factor Analysis (CFA) was carried out to analyze the validity of the SATS-36 instrument as well as to confirm the 6-factor model of SATS-36. The reliability of SATS-36 instrument was assessed through the Cronbach’s Alpha value. Overall, the analysis showed that the SATS-36 instrument shows favorable indices for both its validity and reliability. Thus, it can be concluded that the SATS-36 was a valid and reliable instrument for measuring students’ attitude towards statistics among rural science stream secondary school students.

The purpose of the current study is to investigate middle school students’ self-regulation skills and vocabulary learning strategies in foreign language. The sampling of the current study consists of 990 5th, 6th, 7th and 8th grade middle school students attending state middle schools in the Mentese district of the city of Mugla, Turkey in school year 2018-2019. As the data collection tools, the Perceived Self-Regulation Scale and the Vocabulary Learning Strategies in Foreign Language Scale were used. In the analysis of the collected data, frequencies, percentages, independent-samples t-test and one-way variance analysis (ANOVA), Post-Hoc Tests (Tukey and Dunnett’s C) and correlation analysis were used. The findings of the present study have revealed that the middle school students’ self-regulation skills and vocabulary learning strategies in foreign language are over the medium value. The middle school students’ self-regulation skills and vocabulary learning strategies in foreign language were found to vary significantly depending on gender, grade level, father-mother attitude and level of interest in English course. A medium, positive and significant correlation was found between the middle school students’ total scores of self-regulation strategies and vocabulary learning strategies in foreign language.

Two new instruments were created to assess secondary students’ (ages 14-18) spatial learning attitudes and their interest in science and technology, related careers ideas and perceptions about geospatial technologies. These instruments were designed to evaluate the outcomes of a geospatial learning curriculum project. During a two-year period, we explored the use of these instruments during the prototype testing and pilot testing of a series of socio-environmental science investigations. The instruments were implemented with 664 ninth grade urban students from a population traditionally underrepresented in STEM-related fields. Both classical and Rasch analyses were conducted each year to optimize the instruments. The resulting 24-item Student Interest in Science, Technology and Geospatial Technology (STEM-GEO) measure and 9-item Spatial Learning Attitudes (SLA) measure had high internal consistency reliabilities (Cronbach’s Alpha) as well as acceptable Rasch reliabilities. Content validity and construct validity evidence were also summarized and discussed.

This study aims to identify the effect of metacognitive awareness of reading strategies on self-efficacy perception in reading comprehension of secondary school students and whether self-efficacy perception in reading comprehension of secondary school students differs according to the variables such as their gender and reading habits. In this correlational survey model study, data were collected from the sample of 380 students of 8th grade by using ‘Metacognitive Awareness of Reading Strategies Inventory’ developed by Mokhtari and Reichard and translated into Turkish by Ozturk; and ‘Self-Efficacy Scale in Reading Comprehension’ developed by Epcacan and Demirel were used. The data gathered were evaluated statistically by multivariate analysis of variance (MANOVA) with the help of the SPSS program. As the results of the study, Reading Visual Comprehension, Self-regulation in Reading and Reading Self-confidence subscale scores of self-efficacy perception in reading comprehension, were found to be statistically and significantly larger in the groups that have a tendency to finish books that they start. Moreover, Reading Visual Comprehension, Self-regulation in Reading and Reading Self-confidence subscale scores of self-efficacy perception in reading comprehension, were found to be statistically and significantly larger in the groups that have advanced level of reading habits. Additionally, RSC, SRR and RVC subscale scores of self-efficacy perception in reading comprehension, were found to be significantly different in favor of female participants. General Reading Strategies, Problem Solving Strategies and Supporting Reading Strategies subscales of metacognitive awareness of reading strategies have a positive effect on Reading Visual Comprehension, Self-regulation in Reading and Reading Self-confidence scores of the participants. In other words, metacognitive awareness of reading strategies contributes to self-efficacy perception in reading comprehension of eighth-grade students.

The article provides an analysis of the literature on interactive cognitive strategies. The aim of the study is to examine the pedagogical potential of interactive cognitive strategies for the effective formation of a multilingual personality of a future teacher. The research used theoretical and empirical methods: analysis of theoretical sources, analysis and generalization of the experience of scientific and methodological developments, training of students of a pedagogical institution. The problem of developing scientific and methodological support for the use of interactive cognitive strategies for the effective formation of a multilingual personality of a future teacher is being updated. A generalization of the obtained results indicates that the use of interactive cognitive strategies positively affects the formation of the multilingual personality of the future teacher. The research was supported by within the framework of the project on research on priority directions of scientific activity of the universities-partners in networking (South Ural State Humanitarian Pedagogical University and Mordovian State Pedagogical Institute) on the topic of “Linguodidactic foundations of the intercultural communicative competence formation of a future teacher”.

This study aimed to develop an instructional design that focuses on programming teaching for gifted and talented students and to investigate its effects on the teaching process. During the development of the instructional design; the steps of Morrison, Ross and Kemp Instructional Design Model were followed. Embedded experimental design, one of the mixed-method research designs, was used in the modeling of the study. The participants consisted of students studying at the Science and Art Center (BILSEM) (experimental group: 13 girls and 12 boys, control group: 10 girls and 15 boys). While the instructional design developed by the researchers was applied to the gifted and talented students in the experimental group, the standard activities used in Information Technologies and Software Courses at BILSEM were applied to the gifted and talented students in the control group. “Computational Thinking Scale (CTS)”, “Torrance Creative Thinking Test (TCTT-Figural)” and “Computer Programming Self-Efficacy Scale (CPSES)” were used to collect the data of the quantitative phase of the study. Qualitative data were gathered by using interview form, observation forms, and design thinking rubric. Two-Factor ANOVA Test, Bonferroni Adjustment Multiple Comparisons Test, and interaction graphs were used to analyze quantitative data while qualitative data were analyzed by content analysis. The quantitative results of the research showed that the instructional design was effective on students' computational thinking and creative thinking skills, but not on programming self-efficacy. Qualitative findings revealed that the instructional design helped the students learn the computational concepts, use computational applications, and develop computational-perspectives. Also, students improved their design thinking skills to a certain level and expressed that they enjoyed the design thinking process, learned the course content, and experienced some difficulties.

STEM education is a pedagogical philosophy which aims to draw the interrelationship between science, technology, engineering and mathematics to solve complex problems in real life situations. In order to use STEM education to foster students’ learning, the researchers designed STEM activities for middle school students related to the concept of force and motion in three different approaches: a linear model, a jigsaw learning and a stand-alone engineering design activity. To compare the effectiveness of the three approaches, the researchers analysed students’ reasoning and problem-solving scores gained before and after doing the activities. The result showed students participating in the linear model and in the jigsaw learning significantly outperformed those in the stand-alone engineering design activity. In addition, when comparing conceptual development between those attending the linear model and jigsaw learning, the result showed that the former significantly outperformed the latter. It is therefore suggested that to maximise the effectiveness of STEM activities in promoting conceptual understanding as well as reasoning and problem-solving skills, teachers should adopt the linear model. However, when instructional time is limited, the jigsaw learning can be considered as an alternative approach. The stand-alone engineering design activity although can promote students’ enthusiasm to learn, it may not sufficiently lead to the development of reasoning and problem-solving skills as expected.

Pearson product–moment correlation coefficient between item g and test score X, known as item–test or item–total correlation (Rit), and item–rest correlation (Rir) are two of the most used classical estimators for item discrimination power (IDP). Both Rit and Rir underestimate IDP caused by the mismatch of the scales of the item and the score. Underestimation of IDP may be drastic when the difficulty level of the item is extreme. Based on a simulation, in a binary dataset, a good alternative for Rit and Rir could be the Somers’ D: it reaches the ultimate values +1 and –1, it underestimates IDP remarkably less than Rit and Rir, and, being a robust statistic, it is more stable against the changes in the data structure. Somers’ D has, however, one major disadvantage in a polytomous case: it tends to underestimate the magnitude of the association of item and score more than Rit does when the item scale has four categories or more.

Kelley’s Discrimination Index (DI) is a simple and robust, classical non-parametric short-cut to estimate the item discrimination power (IDP) in the practical educational settings. Unlike item–total correlation, DI can reach the ultimate values of +1 and ‒1, and it is stable against the outliers. Because of the computational easiness, DI is specifically suitable for the rough estimation where the sophisticated tools for item analysis such as IRT modelling are not available as is usual, for example, in the classroom testing. Unlike most of the other traditional indices for IDP, DI uses only the extreme cases of the ordered dataset in the estimation. One deficiency of DI is that it suits only for dichotomous datasets. This article generalizes DI to allow polytomous dataset and flexible cut-offs for selecting the extreme cases. A new algorithm based on the concept of the characteristic vector of the item is introduced to compute the generalized DI (GDI). A new visual method for item analysis, the cut-off curve, is introduced based on the procedure called exhaustive splitting.

The study's goal was to examine the correlation between the computer programming self-efficacy and computational thinking skills of gifted and talented students. The capacity of the computer programming self-efficacy of gifted and talented students to predict their computational thinking skills were also examined. The relational screening model has been implemented in the research. The participants of the study were composed of 106 secondary school gifted and talented students studying the Individual Ability Recognition Program (IAR) at the Science and Art Center in the city center. Typical case sampling was applied for the student identification of the participants, 46 are female and 60 are male. Gifted and talented students' computational thinking skills were assessed using the "Computational Thinking Skills Scale” and the computer programming self-efficacy was measured by using the "Computer Programming Self-Efficacy Scale". Data were analysed by Pearson correlation analysis and simple linear regression analysis in statistical software SPSS 22. Research results found that there was a positive and high correlation between the computer programming self-efficacy and computational thinking skills. The gifted and talented students' computer programming self-efficacy demonstrated 31.5% of the total variance in computational thinking skills. This finding supports the claim which is present in the literature that self-efficacy in computer programming is the affective aspect of computational thinking skills. To predict computational thinking skills, it may be recommended to build multiple models for cognitive and affective skills of gifted and talented students.

A new index of item discrimination power (IDP), dimension-corrected Somers’ D (D2) is proposed. Somers’ D is one of the superior alternatives for item–total- (Rit) and item–rest correlation (Rir) in reflecting the real IDP with items with scales 0/1 and 0/1/2, that is, up to three categories. D also reaches the extreme value +1 and ‒1 correctly while Rit and Rir cannot reach the ultimate values in the real-life testing settings. However, when the item has four categories or more, Somers’ D underestimates IDP more than Pearson correlation. A simple correction to Somers’ D in the polytomous case seems to lead to be effective in item analysis settings.  In the simulation with real-life items, D2 showed very few cases of obvious underestimation and practically no cases of obvious overestimation. With certain restrictions discussed in the article, D2 seems to be a good alternative for these classic estimators not only with dichotomous items but also with the polytomous ones. In general, the magnitudes of the estimates by D2 are higher than those by Rit, Rir, and polychoric correlation and they seem to be close of those of bi- and polyserial correlation coefficients without out-of-range values.

This paper sought to investigate the mathematics teachers’ reflection on the role of Productive Pedagogies’ framework in festering effective classroom instruction. Two research objectives were used to discuss the reflection of the four mathematic teachers. A qualitative case study was adopted as the design of the study. Classroom observations, Research Journal and Reflective Interviews were organised to collect data for the study, while the narratives approach to data analysis was used to analyse the data collected. From the study, the mathematics teachers were able to gradually adjust to the new framework through effective reflective meetings with their colleagues and with the support of the researcher. They (mathematics teachers) reflected that, the framework helps them developed confidence, positive attitude and interest to their teaching practice. It helped fostered effective collaboration and created an atmosphere of trust between the mathematics teachers and their students. The study also suggested that the pedagogy influence the mathematics teachers to provide and received feedback from their colleagues and from their students. They were also of the view that there was a gradual shift from the traditional teacher centred instruction they are more conversant with to a more student-centred pedagogy. The implication of the study suggests the need to adopt the Productive Pedagogies framework into the Nigerian mathematics classroom to improve mathematics teacher’s classroom instruction.

The aim of this study was to examine the pre-service teachers’ Web 2.0 rapid content development self-efficacy belief levels and their opinions about Web 2.0 tools. The study was carried out by using “convergent parallel mixed design”. In the academic year of 2019-2020, 254 pre-service teachers voluntarily participated in the quantitative part of the study and 30 pre-service teachers voluntarily participated in the qualitative part. "Web 2.0 Rapid Content Development Self-Efficacy Belief Scale of Pre-Service Teachers" was used as quantitative data collection tool. In order to collect qualitative data, a semi-structured interview form was prepared by the researchers. While the quantitative data obtained from the pre-service teachers were analyzed with the T Test and ANOVA, the qualitative data were analyzed using the content analysis technique. As a result of the study, pre-service teachers’ Web 2.0 rapid content development self-efficacy belief levels do not differ significantly in terms of gender variable. On the other hand, a significant difference was observed in self-efficacy belief level scores among different departments. Also, the pre-service teachers expressed positive opinions regarding the use of WEB 2.0 tools in the educational environment such as class group formation, presentation preparation and virtual classroom applications.

This study aims to find out the attitude levels of the fourth grade primary school students towards science and to examine these attitudes according to some variables. The study is designed in descriptive survey model to reveal the present situation.  The data were collected through Attitude towards Science Scale, a three-point Likert scale developed by the researchers. A total of 562 students participated in the study. The findings of the study demonstrate that the students' attitudes towards science, which are based on two dimensions including scientific discovery and scientific curiosity, are positive. The students' attitudes towards science do not differ statistically according to their gender. However, their attitudes towards science show statistically significant differences according to whether the students follow a scientific magazine or not, whether they study at a public or private school, whether their mothers are a teacher or not and the educational level of their parents. It is believed that the results will contribute to raising generations with positive attitudes towards science.

This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in higher grades resolve situations within their environment. Emphasis was placed on how they analyze through situations in context, and how they build knowledge through the search for a possible solution to the problem through the Project Based Learning strategy. The emphasis in treatment was for students to experience a transdisciplinary environment. Their impressions from the study were the revealing focus of how students learn when they are presented with a situation in their environment, taking roles themselves, solving them it through a project. As part of the project they used their knowledge of science and mathematics to solve the situation. Similarly, they learned mathematical concepts that are part of the Trigonometry course and that are measured in the academic achievement tests called PR Goals, previously known as Puerto Rican Academic Achievement Tests (PPAA).

This article examined the role of Lesson Study in a center school located in the southeastern United States through an analysis of a narrative by the school principal. This methodology allowed a level of reflexivity across the research team, who appreciated hearing about the powerful first-hand enactment of the initiative. The paper begins with an analysis of Lesson Study, particularly in special education, and the key tenets of Lesson Study followed by a narrative account of the principal. Subsequent to her story, we explored lessons learned in relation to implementing a system change in a school, namely Lesson Study. We learned that a deeper understanding of school culture, sustaining professional development, and collaborative practice, were significant factors enabling the principal and teachers at the center school to embrace, plan, and implement a successful Lesson Study for learners with significant disabilities. In addition, we learned that Lesson Study plays an important role in teacher and student engagement in teaching and learning at the center school and supports teachers to design lessons that are efficacious in meeting the individual needs and higher expectations of students.