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. 

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.

Teacher Education Programs (TEPs) are intended to prepare students to become qualified professionals in the field of education. Yet, many preservice teachers (PSTs) have difficulty recognizing their new roles, not simply as students in the TEP, but as future educators. As PSTs progress through their coursework, field experiences, and student teaching, their perceptions of teacher knowledge evolves. Teacher educators may assist in positively influencing such transformation through reflective exercises, learning activities, and thoughtful discourse. The present research examines four classroom discussions centered on a mathematics and science activity. These discussions illustrate the changes in perspective with respect to mathematics and science teacher knowledge, among a cohort of elementary PSTs between the beginning and end of their first year in a TEP.   

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.

“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.

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.

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.

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.

Traditional houses are part of the culture of every country. Indonesia is a country that has a variety of traditional houses. The traditional Banyuwangi house is known as the Using house. This house can be explored in terms of ethnomathematics and used as part of learning mathematics. This research is focused on knowing and describing mathematics learning that integrates the ethnomathematics of Using house, thematic, and connected models. The research was also conducted to determine the effectiveness of the learning that has been carried out. The results showed that the use of the Using house in ethnomathematical-thematic-connected-based mathematics learning: (1) could be done using the trivium concept (literacy, matheracy, and technoracy); (2) can be done thematically by integrating four subjects (Indonesian, social sciences, fine arts, and mathematics); (3) can be connected by integrating two mathematical concepts (two-dimensional geometry and arithmetic); (4) through seven phases of learning; and (5) effective because 80% of students can solve problems as expected.

The teaching method is one of the main aspects to make a huge contribution to the success of any education system, and project-based teaching (PBL) is an important aspect to contribute to the success of education also. This research was conducted through a review of project-based teaching that has been used in the education system of Vietnam, including a sample, and setting that included imperial and theoretical literature selected from the fields of education. Findings show that this method has been applied to various sectors of education, from kindergarten education to higher education, in many disciplines and subjects, in schools and educational settings, and has become more widely popular than ever. This method, however, has its drawbacks because it takes time to master and teachers need more skills to manage the learning atmosphere. This method has been commonly accepted as one that can help teachers and learners understand more and get more benefits in the learning and teaching process.

The study discussed in this paper is a systematic literature review related to the role of dual language programme (DLP) in mathematics education which has been published within the last 5 years. This study was conducted to identify the distribution of DLP studies in terms of year of publication, the study context covered in previous studies, the context of study areas used, focus and trends of past studies, research methods used in previous studies and the role of language in school mathematics education. This review study followed the guidelines of Preferred Reporting Items for Systematic Reviews and Meta-Analyzes (PRISMA) to analyze articles from Scopus and Web of Science. The findings of the study indicate that research trends in the implementation of the DLP on mathematics education for secondary school students showed an increase from 2017 to 2019. Most DLP-related articles are widely developed in the United States and Germany. The findings indicate that previous studies are more interested in studying the implementation of DLP in rural areas. Past studies have also preferred to use the design of either a qualitative study or a quantitative study to be implemented. Questionnaires, tests and interviews are among the research instruments that are often used for a study.

This research was aimed to determine the level of knowledge, skills and attitude of pre-service Mathematics teachers in Universiti Pendidikan Sultan Idris (UPSI) towards higher-order thinking skills (HOTS) and whether the elements of HOTS were translated into the teaching courses. The research was also designed to analyze the relationship between the pre-service Mathematics teachers’ exposure to HOTS through the teaching courses and their level of knowledge, skills and attitude towards HOTS. The study utilized a quantitative approach by administration of a survey to a simple random sample of 110 pre-service Mathematics teachers from UPSI. A questionnaire with five different parts was used as the research instrument with a reliability value of .979. The collected data were then analyzed using descriptive and inferential statistics. The descriptive statistics were used to determine the mean scores of the level of knowledge, skills and attitude among the pre-service Mathematics teachers, whereas inferential statistics using Pearson-r correlation was implemented to describe the relationship between the studied variables. The findings demonstrated that the knowledge and skills of pre-service Mathematics teachers towards HOTS were at a moderate level as opposed to their attitude and exposure to HOTS which were found to be at a high level. The data analysis using Pearson correlation illustrated a significant positive relationship with r = .727, r = .757 and r = .667 between the exposure to HOTS through the teaching courses and the level of knowledge, skills and attitude regarding HOTS of pre-service Mathematics teachers at UPSI, respectively. In conclusion, the research here indicates that pre-service Mathematics teachers in general, are positive towards the implementation of HOTS but they are lacking in terms of knowledge and skills. This research is useful in the field of Mathematics education as it can serve as a guidance to further enhance the knowledge, skills and attitudes especially for future Mathematics teachers in implementing HOTS effectively and improving the quality of the teaching program offered by the university indirectly.

The implementation of learning activities in schools has not provided opportunities or encouragement for students in developing their procedural knowledge. This research aimed to test the effectiveness of developing Bloom’s Taxonomy revision-oriented learning activities to grade IV elementary learners’ procedural knowledge capabilities and learning outcomes. This research used quasi-experiment with a quasi-experimental design which consisted of a posttest-only control design. The population of this study was sixth-grade students of 9 schools with an overall number of 229 students. The sample in the study was 50 students, there were 26 students from the experimental class and 24 students from the control class. A test method with 10 question items was used as a data collection method. The data analysis methods and techniques used were quantitative descriptive analysis and inferential statistical analysis. Then the data were analyzed using the MANOVA test assisted by the IBM SPSS Statistics 21.0 program. The hypothesis test results showed a significance value of .000 (Sig<.05). It can be concluded in procedural capabilities and learning outcomes between groups of students there is a significant difference from following learning by implementing Bloom's Taxonomy Revision oriented learning activities with the experimental and control group.

Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing proportional reasoning is not an easy task. In this study, we investigated how teachers give proportional reasoning about the concept of proportional and non-proportional situations, especially in making sense of them. The research subjects were mathematics teachers who had taught proportional-related material. Data was collected using task-based interviews outside the teacher's working hours. Data analysis and interpretation were completed using a framework meaning-based approach. The results of the data analysis showed that the teacher is careful in understanding information, is aware of multiple meanings, and knows key information in understanding the contextual structure of proportional and non-proportional situations. Furthermore, they are also able to identify additive and multiplication relationships, have flexibility in understanding proportional and non-proportional situations separately or collectively, and understand problem-solving systematics in detail.

This study aims to investigate the perceptions of Generation Z students about ideal learning after the pandemic in Indonesia. This research uses a qualitative design with a phenomenological approach. There were 30 students from 6 different campuses in Serang City, Banten, Indonesia, who used a purposive sampling technique as research participants. Data collection was carried out using semi-structured interviews, which were then analyzed using thematic analysis techniques. The findings of this study state that there are four main themes regarding ideal post-pandemic learning, namely: (a) learning that is not monotonous, (b) equal portions of theory and practice, (c) ideal learning managed by an ideal lecturer, and (d) the need for the application of blended learning. This research contributes to the current literature on designing ideal learning on campus after the COVID-19 pandemic.

Active learning (AL) techniques invite students to participate actively, either physically or mentally, in the learning process so that they can change their behavior efficiently to achieve great achievement. Still, there is insufficient knowledge concerning the dimensions of AL techniques for business subjects of secondary school students in Malaysia. Thus, the research’s goal is to assist in the determination of the instruments’ reliability to measure the AL techniques measurement scale for business subjects’ students using exploratory factor analysis (EFA) as well as reliability analysis. Moreover, this research conducted a self-administered survey among secondary school students who have taken business subjects as their elective subjects. From secondary schools in Negeri Sembilan, Malaysia, 123 respondents were randomly chosen for the sample. To measure the AL constructs, the study retained 30 items developed because no items have been omitted since the factor loading turned out higher than the 0.50 cut-off point and was used as a tool for data collection. Essentially, this research empirically validates the dimension which helps lead to AL techniques in business subjects that are improved, and the findings are particularly beneficial to secondary school students in Malaysia.