The aim of this study was to investigate the VMLSE perception levels of eighth grade students and differentiations based on variables of gender, state of success, final grade and ability to relate mathematical concepts to daily life and examine their views on this issue. The exploratory design of mixed method, which includes both quantitative and qualitative methods, was used in the study. The survey method was used in the quantitative dimension of the study. In qualitative dimension, phenomenological design which is one of the qualitative research designs is used. The data obtained from the quantitative dimension by VMLSE perception scale were analyzed by t-test and one-way analysis of variance. The data obtained from the semi-structured interview form were analyzed by using the content analysis method for the qualitative dimension of the research. As a consequently, there was a significant difference in VMLSE perceptions based on the variables of final grade, finding one’s self successful in the field of mathematics and ability to relate mathematical concepts; however, there was no significant difference based on gender. Additionally, it was found, the students had the idea that having VMLSE perception would affect mathematics success positively. 

Three methodological approaches were applied to understand the role of interest and self-efficacy in reading and/or writing in students without and with persisting specific learning disabilities (SLDs) in literacy. For each approach students in grades 4 to 9 completed a survey in which they rated 10 reading items and 10 writing items on a Scale 1 to 5; all items were the same but domain varied. The first approach applied Principal Component Analysis with Varimax Rotation to a sample that varied in specific kinds of literacy achievement. The second approach applied bidirectional multiple regressions in a sample of students with diagnosed SLDs-WL to (a) predict literacy achievement from ratings on interest and self-efficacy survey items; and (b) predict ratings on interest and self-efficacy survey items from literacy achievement. The third approach correlated ratings on the surveys with BOLD activation on an fMRI word reading/spelling task in a brain region associated with approach/avoidance and affect in a sample with diagnosed SLDs-WL. The first approach identified two components for the reading items (each correlated differently with reading skills) and two components for the writing items (each correlated differently with writing skills), but the components were not the same for both domains. Multiple regressions supported predicting interest and self-efficacy ratings from current reading achievement, rather than predicting reading achievement from interest and self-efficacy ratings, but also bidirectional relationships between interest or self-efficacy in writing and writing achievement.  The third approach found negative correlations with amygdala connectivity for 2 reading items, but 5 positive and 2 negative correlations with amygdala connectivity for writing items; negative correlations may reflect avoidance and positive correlations approach. Collectively results show the relevance and domain-specificity of interest and self-efficacy in reading and writing for students with persisting SLDs in literacy.

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.

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.

The aim of this study is to investigate teachers’ perceptions about the importance of learning innovation toward critical thinking ability in learning mathematics. The subjects in this study are the teachers and the students of grade Vin Al-Islam 6 Al-Fajar, Muhammadiyah 23 and Cokroaminoto Islamic Elementary School Surakarta. The research method used in this research is qualitative case study. The problem in the research is the students' mathematics score is low that is seen from the results of the daily test’s students which showed 85% get grades below the minimal mastery criteria there is 60. The analysis technique used is triangulation. Validation used is qualitative descriptive. Based on the results of interviews to a number of teachers who teach mathematics in the fifth-grade in Pasarkliwon sub-district, it can be concluded that students' critical thinking ability in mathematics is low so that it is required innovative learning model used by the teachers.

This study aims to conduct Turkish adaptation, validity and reliability studies of the Teacher Rating Scales of Early Academic Competence. This study also aims to examine and improve early academic competence thoroughly on the basis of teachers’ ratings in Turkey, and lastly to contribute an assessment and measurement instrument to the literature which will enable to conduct further research in the field. This study was designed in a general survey model. The study included normally developing 619 36-72 month-old preschoolers attending to nursery classes and kindergartens affiliated to Afyonkarahisar Ministry of National Education in 2015-2016 academic year. The validity and reliability studies of the data obtained following the implementation of TRS-EAC, was completed. The Cronbach Alpha, split half test, test-retest reliability of the scale and its subscales were measured. TRS-EAC was found to be valid and reliable for 36-72 month-old children. It can be considered that the various studies that can be used TRS-EAC in Turkey will provide important contributions to the measurement power of this test.

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.

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.

Adversity Quotient is a person's response to overcoming obstacles or problems. Barriers experienced, and the ability to overcome these obstacles vary in each person. This study was a literature review study focusing on adversity quotient in the field of education. This study reviewed several manuscripts that concentrated on research design, type of participants, and the critical role of adversity quotient in the field of education. A total of 18 articles were analyzed by exploring and reviewing manuscripts from trusted database journals, namely Scopus, Science Direct, and ERIC. This review explored three aspects of educational adversity quotient publications, including 1) the type of research design used in research related to adversity quotient in the field of education, 2) the types of participants chosen in research related to adversity quotient, and 3) the role of adversity quotient in education. Based on the results of manuscript reviews, adversity quotient research shows a great influence in the field of education. Research on adversity quotient shows that 1) descriptive and experimental research is the most commonly used design; 2) research participants in adversity quotient research are dominated by students, especially university students; 3) the role of adversity quotient is much shown in learning outcomes in the field of skills.

The aim of this study is to identify whether high school students encounter any difficulties in mathematics and reveal the reasons for such difficulties. The participants of the study, which was a descriptive case study based on qualitative understanding, were a total of 164 students, including 85 students from Anatolian High Schools and 79 students from Science High Schools. Approximately 11% of the participants said they had no difficulties in math, whereas 99% of the students from Anatolian High Schools and 78% of the students from Science High Schools said they had difficulties in mathematic. Their thoughts about the reasons for such difficulties were analyzed by content analysis method considering the type of high school they attended. The findings obtained revealed that the difficulties encountered by the participants in mathematics were teacher-, content- and student-based. Anatolian High School students stated that they intensely faced teacher-based difficulties, whereas Science High School students stated that they faced content-based difficulties. It's expected that the results of this study may contribute to studies to be conducted to increase student success in mathematics education and provide ideas for further studies.

The self-report and think-aloud approaches are the two dominant methodologies to measure metacognition. This is problematic, since they generate respondent and confirmation biases, respectively. The Meta-Performance Test is an innovative battery, which evaluates metacognition based on the respondent's performance, mitigating the aforementioned biases. The Meta-Performance Test consists of two tests, the Meta-text, which evaluates metacognition in the domain of reading comprehension, and Meta-number, in the domain of arithmetic expressions solving. The main focus of this article is to present the development of the battery, in terms of its conceptual basis, development strategies and structure. Evidence of its content validity is also presented, through the evaluation of three experts in metacognition, two experts in Spanish language, two experts in mathematics and five students who represent the target population. The results of the judges' evaluations attested to the Meta-Performance Test content validity, and the target population declared that both the battery understanding and taking are adequate. Contributions and future research perspectives of the Meta-Performance Test in the field of metacognition are discussed.

An empirical investigation of elementary school teacher candidates on classification activities dealing with animate and inanimate objects in terms of being living or non-living demonstrates that as the size of the objects increases, subjects are more likely to classify them correctly as either being an animal or having living characteristics. Despite a variety of misconceptions having an impact on the results, size magnitude is shown to play a significant role on proper classification. The subjects’ performance on these activities at an advanced stage of their preparation suggests that their factual and procedural knowledge are deficient due to a lack of opportunities for conceptual development of the items tested. The identification of the role of size on the proper classification of objects in the activities bears significantly on the science curricular structure at the elementary school level. As the results of this study indicate, both pre-service elementary school teachers and by extension their prospective students need longer practice dealing with living and non-living classification activities, particularly in tasks where the microscopic features of matter can be investigated so that the proclivity to regard size as the defining characteristic is effectively addressed.

The article focused on the use of assessment for learning in promoting active learning and learner participation in mathematics. Assessment for learning (AfL) has been found to enhance learning and improve performance. However, teachers’ use of AfL to enhance active learning has not been clearly outlined. This study is part of the broader research study that explored mathematics teachers’ use of AfL to enhance mathematics teaching and learning in primary schools in Alexandra Township, Johannesburg. A case study research-type and a qualitative approach were used to collect data from mathematics teachers. Nine teachers were purposefully selected from whom data were collected using semi-structured interviews and non-participant observation. The findings revealed that teachers had limited pedagogical knowledge in using AfL to promote active learning in their classrooms. They failed to apply a learner-centred approach that promotes effective learner participation in mathematics classrooms. Therefore, it is recommended that teachers undergo ongoing continuous development on classroom time management and planning for the effective use of AfL.

This study aims to describe the abstraction of epistemic action, which includes recognition, building-with and construction in junior high school students with low spatial ability in constructing cube nets. The research method used in this study is an exploratory qualitative method with the primary data in the form of interviews with two junior high school students with low spatial abilities who were selected using an inclusive purposive sampling technique. Based on data analysis on the two subjects, it was found that the two subjects constructed a cube net of 14 plain cube nets, 14 colour cube nets and 14 cube nets with variations of domino motifs. In the activity of constructing the cube nets, the two subjects used different epistemic actions; subject SR1 constructed the cube nets as a whole using only two epistemic actions, referred to as recognition and building-with. The activity of subject SR2 in constructing cube nets as a whole uses more epistemic actions that are tiered and interrelated with each other, where the first action that occurs is recognition, the second is building-with, and the third is construction.

The importance of literacy is a competency requirement that must be possessed by students to face competition in the 21st century. This is directly related to the extent to which students' scientific thinking processes understand and solve problems. This study aims to describe how literacy is trained in learning in junior high schools. The approach used is a qualitative approach with the type of phenomenological research. The participants in this study were 5 junior high school teachers who teach in the Special Region of Yogyakarta. Data was collected through virtual interviews with the help of the Google Meet platform. The data analysis model used is the model of Bogdan and Biklen with data collection procedures, data reduction, verification and conclusion. The results showed that literacy was trained on students with the habit of reading textbooks for 15 to 30 minutes every day by reporting their readings in student journals, teacher efforts in changing project and problem-based learning methods and strategies according to student conditions, and teacher habituation in providing HOTS level questions to train students' critical thinking processes, balance theoretical understanding and understand the surrounding environment.

This study aimed to determine the influence of critical thinking skills on misconceptions using a five-tier instrument in mixed-method research. The sampling technique used is simple random sampling. The data collection instrument used a critical thinking skills questionnaire, a misconception test of electric field material, and interviews. Data collection begins with quantitative data, providing a misconception test sheet and a critical thinking skills questionnaire. After that, the researcher took qualitative data in the form of interviews to strengthen data that had been obtained previously. Then from the results of the regression coefficients, there is an influence of critical thinking skills on misconceptions. The descriptive results of critical thinking skills data show that the mean of critical thinking skills is 68.50, which means that students' critical thinking skills are in a good category. Then from the results of the regression coefficients, there is an effect of critical thinking skills on a misconception, with the probability number obtained being significant. The limitations of this study are only to identify and see the impact.

The purpose of this qualitative research is to analyze the reflective thinking process of prospective elementary teacher in numeracy problems in terms of their mathematical disposition. The subjects in this study were 26 prospective elementary school teachers who had attended elementary mathematics lectures. The focus in this research is the process of mathematical reflective thinking in solving story problems of a two-variable linear equation system in terms of the level of mathematical disposition. The research instrument consisted of a disposition questionnaire, a reflective thinking ability test and the researcher himself as the main instrument. Good mathematical reflective thinking skills are supported by disposition, by constantly monitoring one's own performance, reflecting on one's own performance, reasoning on one's own performance, considering the overall situation, the habit of analyzing the relationship between variables, being flexible in various alternative solutions to mathematical problems and trying to solve mathematical problems. From the results of this study, lecturers can develop learning media, scaffolding, or teaching materials that accommodate different dispositional abilities of prospective teachers that can be used to improve the reflective thinking process.

This study aims to develop a learning model based on 4C skills to improve high school students’ mathematical critical thinking skills. Research & development is the design used in this research by applying Plomp’s development theory which consists of three phases, namely needs analysis, design and implementation, and evaluation. This research was conducted at Madrasah Aliyah Negeri 2 Parepare, South Sulawesi, Indonesia involving five experts, four teachers, and 20 students. Data collection and analysis were carried out qualitatively and quantitatively. Analysis of interviews’ data and observations qualitatively with the thematic analysis technique. We also analyse data from validation sheets, questionnaires, and mathematical essay tests with the help of SPSS 20.00. The results show that students and lecturers need a learning model to improve mathematical critical thinking skills. In addition, other findings stated that the learning model developed was proven to be valid, practical, and effective to be used in general. Developing your learning model can further improve students' learning outcomes and mathematical critical thinking skills because they are designed based on the actual needs and problems. For this reason, a teacher must be able to design his learning model.

This research aims to explore students' learning obstacles in solving fraction problems in elementary school. This qualitative research used a case study method. The research subjects involved 30 third-grade elementary school students from two different schools in Bandung City, Indonesia. The instruments utilized were test and non-test. The test technique was done by giving fractional material questions, while the non-test technique was in the form of interviews. The data collected were then analyzed employing the three stages of the Miles and Huberman model, including data reduction, data presentation, and drawing conclusions. The study findings revealed that students experienced epistemological obstacles, where students experienced limited knowledge, ranging from the basic concepts of fractions, fractional arithmetic operations, and fraction problem-solving. Based on these findings, teachers can construct learning designs with appropriate didactic situations as a follow-up to minimize the occurrence of similar learning obstacles in future fractional learning materials.