This article introduces a model entitled, “Responsive Teaching through Problem Posing” or RTPP, that addresses a type of reform oriented mathematics teaching based on posing relevant problems, positioning students as experts of mathematics, and facilitating discourse.  RTPP incorporates decades of research on students’ thinking in mathematics and more recent research on responsive teaching practices.  Two classroom case studies are presented.  A high school unit on functions is explored utilizing individual research on the part of the teacher to enact RTPP lessons.  A middle school teacher enacts a RTPP lesson on proportions and utilizes this model to bridge students’ incorrect additive reasoning strategies with correct multiplicative reasoning strategies.  The results showed that both teachers were able to elevate students’ roles in classroom discussions through implementation of RTPP.  Individual research conducted by the high school teacher informed his RTPP approach while participation in professional development sessions with a classroom embedded component influenced the middle school teacher’s enactment of RTPP lessons.  Both teachers used specific teacher moves within RTPP to relinquish their role as mathematics experts in order to elevate their students’ roles in classroom discussions.  The RTPP cycle is offered as a potential model for studying mathematics teaching and learning across a variety of secondary mathematics classrooms.

Assessment for Learning (AfL) may be conceptualized as minute-to-minute, day-by-day interactions between learners and teachers with the improvement of learning as the principal focus. This paper traces the development of an AfL measurement instrument (scale) that can be used for research purposes prior to, during and following professional development in the area. Rasch measurement procedures were applied to data drawn from a convenience sample of 594 teachers from 44 elementary schools in Ireland to create a scale consisting of 20 items distributed across four key AfL assessment strategies: learning intentions and success criteria, questioning and classroom discussion, feedback, and peer-and self-assessment.  This scale, the Assessment for Learning Measurement instrument (AfLMi), has good psychometric properties and is interpretable in a way that makes it potentially useful during system wide improvement initiatives focused on AfL.

This paper seeks to investigate the implementation of the Productive Pedagogies Framework in Nigerian mathematics classroom setting. The researcher adopted a qualitative case study approach to seeking data for the three research questions postulated for the study. Three mathematics teachers taught mathematics in two secondary schools in two Central states of Nigeria using the Productive Pedagogies framework introduced to them by the researcher. Two major instruments (observation and reflective interviews) were employed to seek information from the teachers and the students. While the researcher uses the grounded theory approached to interpret and or analyzed the data collected. The findings of this study suggest that the teachers made attempts to used Productive Pedagogies framework to achieved quality mathematics classroom instructions. This was demonstrated in their effort to used problem-solving to achieve intellectual quality classrooms instructions, making mathematics classroom instruction relevant to the world around their students, developing an atmosphere of friendship during classroom instruction and identifying and recognizing the differences existed among students during classroom instruction. It was observed that the used of the Productive Pedagogies can increase students’ engagement, collaborations, interactions, substantive conversations and effective inclusion during mathematics classroom instruction in which the research finally recommended the adoption of the Productive Pedagogies framework in the Nigerian mathematics classroom.

Teaching with technology is considered a necessity in the U.S. mathematics classroom. However, few studies have established explicit considerations to support technology-enhanced student achievement. The purpose of this study was to characterize the effectiveness of technology in the mathematics classroom by systematically reviewing meta-analytic research. An exhaustive literature search was conducted. After applying a prioi inclusion criteria the pool of 65 initial meta-analyses was reduce to 13 representative studies. Each study was reviewed and characteristics were coded in four categories: (1) sample, (2) measurement, (3) design, and (4) source. An inductive review of the coded studies produced five unique moderators that were the most salient across studies. Overall mean effect sizes were retrieved or calculated from available study data. Hedges g was used as the common effect size metric for comparison across studies.  The Technological Pedagogical Content Knowledge (TPACK) framework was used to interpret the most salient moderators of effects across studies.  Studies were categorized by didactical functionality and technology type. The results suggest that effects vary by didactical functionality from small to medium. The largest variations were observed for the didactical function of developing conceptual understanding.  Implications for research and instructional praxis are provided.

This study mainly aims to determine the effect of the layered curriculum on the 6th grade students’ learning styles in science lesson. The study group consists of students in the 6/A and 6/D at Fevzi Cakmak Secondary School in the city center of Siirt-Turkey in the academic year of 2015-2016. “Learning Styles Inventory” developed by Kolb and translated into Turkish by Askar and Akkoyunlu, diaries of students and semi-structured interview form developed by researchers and examination of the documents were used as data collection tools. As for data analysis, percent (%) and chi-square techniques were used to determine the learning styles of students, but in the analysis of students’ opinions the descriptive analysis was used. During the study, students were also asked to express their experiences and considerations about learning activities via a diary. The thoughts and feelings reflected in the diaries of students were directly quoted in findings. As a result of the analysis, in pre-test results of the students in the experimental group exposed to the layered curriculum, a significant difference was found in terms of gender; however, no significant difference was found in their post-test results.

In general, teacher educators are considered to be educational specialists whose main task is to communicate content-based concepts to prospective teachers. However, unfortunately, most studies on teacher professional development overlook this specific language-oriented aspect of content-based teaching. Therefore, we address the aforementioned research gap and argue that teacher educators’ evaluation of their language-oriented performance in educational communication enhances the quality of their content-based teaching. Accordingly, we examine how the language-oriented performance of teacher educators is evaluated by both individual teacher educators (sample size N=3) and their students (N=32) in a small-scale intervention study. The findings of the study reveal that there is a relationship between the order of application of five language focus areas (i.e., language awareness, active listening, formalizing interaction, language support, and language and learning development, as noticed by the students), and teacher educators’ ability to apply these areas in accordance with their objectives related to content-based teaching.

The purpose of this study was to investigate a predictive power of prospective teachers’ self-efficacy sources on their teaching self-efficacy and attitude towards the teaching profession. Design of the study was the correlational research. The study was conducted on 315 prospective teachers studying pedagogical formation education in a 2017-18 academic year. Instruments were “Prospective Teachers’ Self-Efficacy Sources Scale”, “Teaching Self-Efficacy Scale” and “Attitude Scale of Teaching Profession”. Pearson Product Moment Correlation Coefficient and PATH analysis methods were used to analyze the data. Results indicated that emotional states, mastery experience, and verbal persuasion were significant predictors of prospective teachers’ teaching self-efficacy and attitudes towards teaching profession. 

The aim of the study is to examine the pre-service teachers’ problem solving skills and curiosity levels according to different variables and to determine whether there is a relationship between them. The research was designed as a descriptive study in the survey model. The sample of the study consists of 1st and 4th grade pre-service teachers in the departments of German, Science, English, Mathematics, Music, Pre-school, Painting, English, Mathematics, Turkish Language Teaching at a university in Turkey. “Curiosity Scale” adapted into Turkish by Demirel and Diker Coskun, “Problem Solving Inventory” adapted into Turkish by Sahin, Sahin and Heppner  and “Personal Information Form” prepared by the researcher were used as data collection tools. In the analysis of the data obtained, SPSS-Windows 22.00 package program was used and descriptive statistics and parametric tests were applied in accordance with the sub-problems of the study. In addition, a correlation analysis was conducted to determine whether there was a relationship between pre-service teachers’ problem solving skills and curiosity levels. Based on the findings, suggestions about the problem solving skills and curiosity levels of the prospective teachers were presented.

The current study investigated the opinions of secondary school students taking the science course from different science teachers about the science course and science teachers. The current study was conducted with the participation of 32 students instructed by different science teachers and attending different secondary schools in the fall term of 2018-2019 academic year. The data of the current study were collected by means of semi-structured interviews. In the analysis of the data, the descriptive analysis technique was used. The findings of the current study have revealed that high majority of the students love their science classes and science teachers, that in science classes, lecturing, question-answer and note-taking are methods widely employed, that if there is a smart board in the class, then Okulistik or EBA computer program is on, that the assignments given are from the textbook, that the most frequently adopted behavior by the teachers in the face of any discipline problem is warning and that informal learning environments are not used much. Moreover, it was found that projects are rarely assigned to students and the projects assigned are given as homework. A great majority of the students expect their teachers to be entertaining, they want their lessons to be instructed through games and experiments, and they do not want to write a lot in their classes.

Our goal for this article is two-fold: 1) to examine the efficacy of participatory concept mapping as an integration tool for mixed methods research (MMR), and 2) to explore, using concept mapping, pre-service teachers’ epistemic cognition (EC) and its relationship to teaching orientation (TO).  Using a combined developmental and dimensional framework, preservice teachers’ (N=48) concept maps about their (EC) and (TO) were investigated.  Analyses revealed that the majority of the participants were consistent with the EC profiles of either: 1) absolutist, 2) multiplist, or 3) evaluativist.  Participants’ EC and TO were clearly linked and implications for learning, instruction, and teacher education are discussed. Finally, concept mapping was deemed an effective tool for MMR especially as it pertains to integration.

This paper sought to look at collaboration as an effective tool for mathematics classroom instruction. Four preservice teachers in a qualitative case study taught mathematics to three senior secondary school classes in two secondary schools in Northern Nigeria for a period of 15 weeks spread over three years. During this period 12 students volunteered to participate in four focus group discussions on the effectiveness of the pedagogy in their classrooms. Observations, research journals and focus groups were used to collect data for the study. A Narrative approach to data analysis was used to analyses the data collected. The findings of the study suggested that, the preservice teachers had initial challenges introducing the framework into their classrooms, they, however, gradually adopted the pedagogy into their classroom teaching. The study suggested that the preservice teachers used collaborative groupings and higher ordered questions to foster collaboration among their students. Some benefits of this strategy were also highlighted from the study. Prominent among them was the effective teacher-student and student-student relationship, help students see mathematics problems as common problems and reduced the domineering attitude of mathematics teachers who see themselves as possessing the monopoly of knowledge. Other findings observed in the study include the replacement of the teacher-centered approach to teaching with a student-centered approach. Therefore, it is suggested that, if collaboration is introduced into Nigerian mathematics classrooms, the traditional teacher-controlled mathematics classroom instruction that has bedeviled our classrooms will be reduced, and a new student-centered learning approach will be put in place.

Contemporary educational reforms, both in the fields of science and mathematics, highlight the importance of pre-service teachers’ preparation with regard to several meaningful standards. However, teachers’ own self-confidence in science and mathematics teaching are likely to influence their efforts. Framed within a growing body of research focusing on pre-service teachers’ efficacy beliefs in science and mathematics teaching, the present study attempts to investigate Greek pre-service primary teachers’ efficacy beliefs in science and mathematics teaching; and further examine whether there is a relationship between the two. Participants comprised 171 pre-service primary teachers, who were in their second (n = 55), third (n = 64) or fourth year (n = 52) of study and the majority were female (n = 148). Pre-service teachers were asked to complete a questionnaire consisting of the Science Teaching Efficacy Belief Instrument - Form B (STEBI-B) and the Mathematics Teaching Efficacy Belief Instrument (MTEBI). Principal component analyses and reliability analyses were performed for both instruments to examine their adaptation into Greek. According to the results, preservice teachers had medium to high scores in the personal efficacy and outcome expectancy scales, for both science and mathematics teaching. Minor differences in pre-service teachers’ scores were detected according to their year of study. Furthermore, pre-service teachers’ efficacy beliefs in science were strongly correlated with their efficacy beliefs in mathematics. In general, although pre-service teachers appeared to be confident and well-prepared to teach science and mathematics in classrooms, more effort is required to put the international education reform standards into practice.

The purpose of this study is to evaluate the effects of Instructional Technologies and Material Design (ITMD) course on pre-service mathematics teachers’ attitudes, efficacy beliefs about using concrete materials, and their opinions regarding the material preparation process. A total of 73 pre-service teachers were participated in this study. The scale developed by Bakkaloglu was used to determine efficacy beliefs of pre-service teachers about using concrete materials, and the attitudes scale developed by Cetin, Bagceci, Kinay and Simsek was used to determine the attitudes towards ITMD course. A written form was also used to reveal the opinions of pre-service teachers regarding the material preparation process. The qualitative data collected from 16 pre-service teachers was analyzed with the MAXQDA. Using content analysis, codes and themes were created separately by the researchers and analyzed through several iterations. As a result of this study, positive changes were found in the attitudes and efficacy beliefs of pre-service teachers. The results obtained from the opinions of the pre-service teachers support this positive change. In other words, it is possible to argue that the attitudes of pre-service teachers towards the material development process changed positively with the positive change in the efficacy beliefs about preparing materials after taking the ITMD course.

This study describes the development and validation of a psychometrically-sound instrument, the Active Learning Strategies Inventory (ALSI), designed to measure learners’ perceptions of their active learning strategies within an active learning context. Active learning encompasses a broad range of pedagogical practices and instructional methods that connect with an individual learner's active learning strategies. In order to fulfill the study's goals, a conceptual framework on learners’ active learning strategies was developed and proposed, drawing upon the research literature on active learning. The development and construct validation of the Active Learning Strategies Inventory (ALSI), based on the conceptual and methodological underpinnings, involved identifying five scales of learners’ active learning strategies: engagement, cognitive processing, orientation to learning, readiness to learn and motivational orientation. An item pool of 20 items was generated following an extensive review of the literature, standardized card sorting procedures including confirmatory factor analysis and scale validation of a pilot (n = 407) survey. The ALSI scale demonstrated strong internal consistency and reliability with a Cronbach's alpha ranging from 0.81 to 0.87. High item loading scores from the factor analysis provided initial support for the instrument's construct validity of the five-factor model. The ALSI scale provides a reliable and valid method for researchers and academicians who wish to measure learners' perceptions of their active learning strategies within an active learning context. Finally, we discuss the implications and address the limitations and directions for future research.

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.

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.

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 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.

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.