This is a preliminary paper about a large research project on social mathematics. It proposes points mathematics, a variant of social mathematics, as a viable context for teaching mathematics to adults. Points mathematics, focuses on observing, representing and investigating patterns, regularities and quantitative relationships stemming from convertible points, that businesses offer to their customers/clients for the purpose of encouraging loyalty and for boosting up sales in competitive markets. Using ten illustrative examples, the paper asserts that points mathematics provides practical, realistic context for teaching fundamental mathematics concepts and skills to adult students. These include, but not limited to, the four operations of mathematics (addition, division, subtraction and multiplication), variable, linear equation, graph, rates, percent, ratio, patterns and proportion. The paper is grounded in the theory of realistic mathematics education (RME), that posits that the teaching and learning of mathematics should be contextually-based; entails explaining and solving contextual problems; and establishing high-level interactive relationship between learning and teaching. The paper concludes with three recommendations to guide mathematics teachers of adults who want to implement points mathematics as part of their mathematics curriculum. However, the paper is the first phase of a large research project that explores social mathematics and how it could be integrated in mathematics curricular contents for adult students.

This mixed methods, investigative case study explored student patterns of use within the online PeerWise platform to identify the most influencing activities and to build a model capable of predicting performance based on these influencing activities. Peerwise is designed to facilitate student peer-to-peer engagement through creating, answering and ranking multiple choice questions; this study sought to understand the relationship between student engagement in Peerwise and learning performance. To address the research question, various usage metrics were explored, visualized and modelled, using social network analysis with Gephi, Tableau and Python. These findings were subsequently analyzed in light of the qualitative survey data gathered. The most significant activity metrics were evaluated leading to rich data visualisations and identified the activities that influenced academic performance in this study. The alignment of the key qualitative and quantitative findings converged on answering questions as having the greatest positive impact on learner performance. Furthermore, from a quantitative perspective the Average Comment Length and Average Explanation Length correlated positively with superior academic performance. Qualitatively, the motivating nature of PeerWise community also engaged learners. The key limitation of the size of the data set within the investigative case study suggests further research, with additional student cohorts as part of an action research paradigm, to broaden these findings.

Using engineering design to teach science requires teachers to engage in noticing, interpreting, and responding to students’ needs in real-time. While research has begun to focus on how elementary teachers do so, less is known about how teachers instructionally support and optimize students’ ideas through engineering design feedback. In this study we investigate what instructional moves two elementary teachers’ employ to leverage students’ ideas and reasoning and create opportunities for students to exchange design feedback. Data were gathered using classroom observations of teachers’ implementations of a design task focused on sound and energy transformation. Observations were coded for teachers’ use of high-leverage practices, and event maps were created to chronicle teachers’ implementation of the task from start to finish. Event maps were analyzed and compared for discrete instructional activities and modes of classroom organization that supported opportunities for feedback. Findings suggested that while teachers used similar instructional moves, how and when they created opportunities for student design feedback differed, resulting in diverse ways of assessing and supporting students’ understandings. Implications suggest design feedback as both a purposeful and naturally present phenomenon throughout the design process, reflective of the nature of engineering design.

Mathematics teaching efficacy is an important construct as confidence in one’s ability to teach influences teaching practices. This paper explores pre-service primary teachers’ mathematics teaching efficacy on entry to initial teacher education and the extent that pre-tertiary mathematics experiences and resultant beliefs affected their mathematics teaching efficacy. A mixed-methods approach combined the Mathematics Teaching Efficacy Beliefs Instrument (N=420) and qualitative interviews (N=30). The findings suggest medium personal mathematics teaching efficacy among participants with limited conceptions of what mathematics teaching involves. While uncertain regarding their immediate teaching ability, participants reported confidence regarding their potential. Mathematics teaching outcome expectancy was high; however, an undercurrent of conviction exists that external factors, most notably learners’ natural mathematical ability, are critical to student learning.

The students' low science process skills are caused by learning that is still dominated by the teacher, so it is necessary to develop a learning approach that focuses students in the learning process. One approach that can be used is learning that integrates science, technology, engineering, and mathematics (STEM). This study aims to measure the improvement of students' science process skills that are integrated with the STEM approach on the reaction rate material. This research is a quantitative research with a pre-experimental design type, one group pretest-posttest with a sample of 30 students from class XI SMA Negeri 9 Pontianak, taken by random sampling technique. The data collection tool used is a subjective test of science process skills. The results showed that there was an effect of the STEM approach on the students' science process skills on the reaction rate material, with a score of 76.11, good criteria. Among the aspects of science process skills measured, including observation, classifying, calculating, predicting, inferring, and communication, the communication aspect of students experienced a significant increase from a score of 3.33 to 91.1. This study shows that the STEM approach to reaction rate learning effectively improves students' science process skills.

The prediction potential of the model "emotional intelligence and self-reliance" to students' mathematical performance was investigated in this study. This research was conducted in the third and fourth quarters of the academic year 2021-2022. The quantitative research design, specifically comparative and regression analysis, was used in this study. The comparative design was utilized to assess the differences in emotional intelligence and self-reliance between male and female students, and the regression analysis was performed to see if the model "emotional intelligence and self-reliance" can predict students' mathematical performance. In terms of emotional intelligence and self-reliance, the findings show no significant difference between male and female students. Furthermore, the student's emotional intelligence and self-reliance were strong predictors of mathematics performance. It implies that emotional intelligence and self-reliance are essential factors in better math learning. The study suggested that teachers may improve their students' emotional intelligence and self-reliance by integrating social and emotional learning programs into their classes.

Numerical literacy refers to the knowledge and ability to use various numbers and basic mathematical symbols to solve problems, while math self-concept means the assessment of students’ skills, abilities, enjoyment, and interest in the subject. However, children with special needs and normal students in inclusive Elementary Schools are yet to sufficiently acquire learning that accommodates literacy and maths self-concept. This causes a need for the implementation of a children-friendly learning process. Therefore, this study aimed to identify the factors influencing the numeracy level and math self-concept, and also explore the obstacles in implementing children-friendly learning in order to facilitate students’ abilities. A qualitative method was applied because of in-depth data exploration regarding children with special needs, while the utilized instruments include tests, questionnaires, and interviews. Both the data collected and the analysis are qualitative, which are obtained through excavation, identification, and description. Consequently, this paper was able to (a) describe the factors influencing the numeracy level and math self-concept in inclusive elementary schools; (b) explore the barriers to implementing children-friendly learning; and (c) identify the relationship between students’ numeracy and math self-concept.

The diversity of definitions of science literacy has resulted in a diversity of measurement tools. However, adult science literacy is mainly assessed on short standardized and non-contextualized questions, thus making the study of adult science literacy more qualitative than quantitative. Here we describe the rationale, development, and validation of a questionnaire that associates the use of science in the specific science-related setting of parents of hard of hearing children with general and topic-specific science knowledge. The questionnaire went through four developmental steps: (1) gathering input from hearing rehabilitation experts and parents, (2) testing the close-ended questionnaire (n=10), (3) open-ended questionnaire (n=24), (4) online close-ended questionnaire (n=91). These all assessed general science knowledge, contextual science knowledge in the field of hearing and parents' advocacy knowledge and attitudes. These steps and the resulting assessment tool can thus inform the further development of measures of adult science literacy in context. The findings suggest that although general science knowledge enables the application of science to everyday science-related problems it only explained a small proportion of the variance in contextual science knowledge. Thus, the results strongly point to the importance of measuring adults' science literacy in a context that is relevant to the responders. The findings also underscored the disappointing outcomes of secondary science education, in that formal scientific background predicted general science knowledge but did not account for contextual science knowledge at all. This should elicit concern as to the ability of students to use science knowledge in future personally important science related contexts.

This paper reports on part of an ongoing large-scale research on the need to improve science teaching and learning through investigating the Pedagogical Content Knowledge (PCK) of biology teachers for the topic Biodiversity. Six factors have been seen to affect teacher PCK, i.e., content knowledge, knowledge of students, science teaching orientations, knowledge of assessment, knowledge of instructional strategies and knowledge of the curriculum. This research aimed to examine the teacher’s level of content knowledge (CK). A qualitative research paradigm was adopted, and a case study research design used. The case (unit of analysis) was Biology teacher CK, and the subjects were the four teacher participants purposively selected. Lesson observations, teacher interviews and learner questionnaires were used to collect data on teacher CK. A content knowledge analytical framework consisting of five constructs was designed and used to analyse the teacher CK and data triangulated with data collected from interviews and questionnaires. This research revealed that ‘A’ level Biology teachers’ CK vary from teacher to teacher depending on several factors which include teacher identity, planning, workshopping, and motivation among others. Of the four Biology teacher participants, two had adequate CK and the other two exhibited inadequate CK. Inadequate CK was attributed to lack of planning, non-exposure to workshops and lack of teacher motivation. Consequently, this research recommends supervision of teachers from school level to national level, a series of teacher workshops on the demands of the competence-based curriculum and constructive teacher identity as well as introduce factors that enhance teacher motivation. Further research on the content knowledge of Biology teachers in other learning areas is recommended.

In terms of learning and academic level, this study compares the development of mathematical creative thinking skills between students who use the Blended Learning Model with GeoGebra support (BLM-G) and students who use the Blended Learning Model without GeoGebra aid (BLM-non-G). A nonequivalent control-group design and a quasi-experimental research methodology are being used. The participants in this study were eighth-grade SMPN students in Ternate City, Indonesia. The research sample was 125 people from two schools with different grade levels. The instrument used is a mathematical creative thinking ability test. Research result; Learning using BLM-G influences students' mathematical creative thinking abilities at high and medium school levels, with very high categories. When compared to kids who learn using BLM-non-G learning, students who use BLM-G learning exhibit greater growth in their capacity for both mathematical and creative thought. This is based on high school level pupils. Kids who study using BLM-G learning and students who learn using BLM-non-G learning exhibit equal increases in their capacity for mathematical and creative thought at the middle school level.

Preservice elementary teachers have had a variety of experiences in their math classes which influence their willingness to engage in math as well as their confidence in doing so. This study examined the responses of two sets of preservice elementary teachers, in 2017 and in 2022, to questions about their "best" and "worst" experiences in math classes. Previous research has seldom asked preservice elementary teachers to examine what they do as students to create a better math experience and research is only now beginning on how COVID-19 may have affected student behavior. Inductive analysis revealed that the emotional intelligence of teachers greatly affected preservice elementary teachers' willingness to meaningfully engage in math. For example, a recurring theme in the data was a strong sense of not wanting to appear dumb, which prevented the students from asking questions or seeking help when needed. This study demonstrates that the classroom environment plays a significant role in preservice elementary teachers' success in math, confidence and comfort level with the subject, and, undoubtedly, how they will eventually teach math to their future students.

During the Covid-19 pandemic, this study investigated the role of metacognitive awareness as a mediator in the correlation between attitude and mathematical reasoning among undergraduates who are first year university students. These studies distribute mathematical reasoning assessments, metacognitive awareness questionnaires, and attitude surveys as research data. One hundred eighty-four undergraduate students from one public institution in Malaysia's Klang Valley area participated in the research. The impact of metacognitive awareness on attitude and mathematical reasoning was studied using Version 25 of the Statistical Packages for the Social Sciences. The findings indicated that undergraduate mathematics and science education students excelled in non-mathematics and science education students in mathematical reasoning capacity. According to the findings, undergraduate mathematics and science education students had good metacognitive understanding and used more approaches in mathematical reasoning assessment. Further study implies that more research should be conducted to assess different demographics, such as institute training teachers' metacognitive awareness and attitude towards mathematical reasoning.

This study examined the impact of the Rwanda African Institute for Mathematical Science, Teacher Training Program (AIMS-TTP) on 228 secondary school students’ interest to learn Mathematics and science taught by 7058-trained teachers over 5-years across 14 districts. Students were exposed to various AIMS-TTP interventions, including industrial visits, science hours, and international day for women and girls in science, mathematics competition, robotics and mathematics challenge, and the Pan African Mathematics Olympiad (PAMO). A survey research design was employed to collect data about students’ interest to learn Mathematics and science, and data on students’ choices of combinations were obtained from the National Examination and School Inspection Authority (NESA) for the academic years 2017 to 2022. Data analysis using bivariate correlation and regression analyses revealed a positive and significant relationship (p<.05) between AIMS-TTP interventions and students’ interest to learn Mathematics and science. Besides, linear regression model indicated that hands-on activities, exposure to mathematics and science role models, science hour and smart classroom were the best predictors of students’ interest to learn mathematics and science (β=.197, p< .05; β=.217, p<.05; β=.234, p< .05; and β=.218, p<.05 respectively). They contributed 66.7 % (Adjusted, R2 = .667, p < .05) of the variance in students’ interest in learning mathematics and science. The AIMS-TTP interventions significantly improved students’ interest to learning mathematics and science. Recommendations include comprehensive training programs with direct student engagement, diverse competitions, and ongoing teacher support through professional development. Future research should focus on students’ STEM interest in Technical, Vocational Education, and Training schools.

The overall aim of this study is to examine the association between Swedish students’ attitudes towards mathematics, mathematics achievement as measured by the Trends in Mathematics and Science Study (TIMSS), socioeconomic status (SES), and educational background variables. A further aim is to investigate whether students’ attitudes towards mathematics have a mediating role between their mathematics achievement and their background. Several indicators of students’ SES and background, taken from both the TIMSS 2015 database and from Swedish official registers, were used. The overall results show that there were differences in attitudes towards mathematics in relation to the different SES and educational background measures. There are also associations between students’ SES and both TIMSS mathematics achievement and their attitudes towards mathematics. The students’ attitudes towards mathematics only had a small mediation role between the students’ backgrounds and TIMSS mathematics achievement. Finally, although the mediation models had a better fit when including other information, the mediation effect was lower. Practical implications of the obtained results are discussed.

Recent studies in mathematics education have focused on students' geometric problem-solving abilities, self-regulation, and the problem-based learning (PBL) model. The goal of this study is to examine how well junior high school students' self-regulation and geometric problem-solving skills are enhanced by the PBL model. In this study, quantitative methods using a quasi-experimental design were used. The sample consisted of 45 students from Amanatul Ummah junior high school in Mojokerto, Indonesia. Five types of instruments were utilized to collect data for this research, namely Syllabus, lesson plans, student worksheets, Self-Regulation Questionnaire (SRQ), and Geometry Problem-solving Test (GPST). The outcomes of the N-Gain test demonstrated how well the PBL model works to help students develop their capacity for self-regulation and geometric problem-solving. Apart from that, there are some notable differences between the traditional technique and the experimental class that is taught using the PBL paradigm. It is advised that similar trials be conducted in the future with a larger population and sample size. In both public and private junior high schools, it is strongly advised that more research be done with a larger population and sample size. Future researchers can also expand the study materials of geometry, not only to flat-sided geometric shapes but even further to curved-sided geometric shapes and also other subject matters.

This study investigates the effectiveness of Guided Inquiry-Based Instruction (GIBI) integrated with Variation Theory in improving grade ten students’ solid geometry achievement in Debre Tabor City, Ethiopia. A quasi-experimental design involving 99 students found in three classes from three government schools assigned them randomly to three groups: Experimental Group 1 (EG1, n=30) received GIBI with Variation Theory, Experimental Group 2 (EG2, n=37) received only GIBI and the Control Group (CG, n=32) followed traditional methods. Pre- and post-tests analyzed using ANCOVA and paired t-tests revealed significant improvements, with EG1 achieving the highest scores (p = .000). Effect sizes were substantial for EG1 (Cohen's d = 1.50) and EG2 (d = 1.39) compared to CG (d = .73). The results highlight that GIBI combined with Variation Theory significantly enhances students’ solid geometry achievement, emphasizing the value of such kind of innovative teaching strategy to foster students’ achievement in similar educational contexts. 

The article investigates the impact of assessment data analysis on promoting deeper learning in Canadian high schools, specifically focusing on teachers’ flexibility in data-driven evaluation. The research contributes to the discourse on assessment practices by emphasizing the importance of authentic assessments, competency-based learning, and grading methodologies. Selected high school teachers drawn into this further study formed a fraction of the initial set of participants. Classroom practices of assessments concentrate on: (a) Freedom to facilitate deeper learning in instructing, assessing, and sustaining interest. The others are: (b) Teacher’s emphasis on competency-based (standard-based) learning to make learning appealing to students in educational spaces, and (c) Testing, collecting test score data, analyzing, and reporting students grades to present parents and school districts/boards with accurate progressive data reflective of diversity in learning. In this qualitative focus group case-study discussion, participants indicated time expended in performing critical analysis of data to grade students is burdensome, but the joy of such practice far outweighs the inherent difficulties, knowing that student success is founded on flexibility, freedom in decision-making, and being reflective as educators.

This study investigates an integrative instructional model combining Concrete-Pictorial-Abstract (CPA), Task Analysis (TA), and the 3R strategies (relaxation, repetition, and routine) in teaching mathematics to students with learning disabilities (LD). LD is a neurological disorder that affects the capacity to acquire skills in reading, writing, and mathematics, presenting persistent challenges that traditional teaching approaches may not fully address. Through an ethnographic approach involving participatory observation of a teacher and three LD students over a semester, this study examines how the CPA model—progressing from concrete objects to pictorial aids and then to abstract concepts—can be customised to individual needs. Findings highlight that CPA is most effective when adapted to the diverse learning styles of LD students. While one student thrives with tactile tools to reinforce understanding, another becomes distracted, viewing the concrete aids as play items, and a third displays a preference for abstract reasoning without needing pictorial or tangible support. The TA framework, used to deconstruct complex tasks, enables students to engage in incremental learning steps, while the 3R approach helps foster a supportive learning environment by incorporating relaxation, routine, and reinforcement of concepts. By accommodating individual learning preferences, teachers can support diverse cognitive processes and promote meaningful progress in mathematical understanding. The study calls for educators to move beyond conventional one-size-fits-all strategies, advocating for personalised and adaptive approaches that can better meet the unique needs of LD students in mathematics education.

This study examines the validity of the Force Concept Inventory (FCI) in Ugandan secondary schools using Item Response Curves (IRCs) and provides a comparative evaluation of its effectiveness across different educational contexts. The survey focused on Senior Four students preparing for the Uganda Certificate of Education (UCE) examinations, with a representative sample of 941 students (aged 15–17) selected through a multi-stage sampling technique. The initial analysis employed Classical Test Theory (CTT) metrics before the detailed analysis of IRCs for the FCI items. The CTT evaluates item-level and whole test statistics like item difficulty level, discrimination index, and reliability. The CTT indices revealed that the FCI was highly challenging, with an average score of 5.76 out of 30 and a low-reliability coefficient (α = 0.15). Additionally, 73.3% of the items showed poor discrimination, and some distractors were ineffective. The detailed analysis of IRCs showed that several FCI items are inefficient in the context of the Ugandan education system. The IRCs also demonstrated a widespread choice of distractors for many items, with overall scores falling below the threshold indicative of a generally agreed-upon understanding of Newtonian physics. Comparative analysis from other global contexts studies suggests that language barriers, curriculum differences, and instructional methods influence student performance. These findings underscore the necessity of adapting the FCI tool to better fit local educational contexts and implementing additional instructional strategies to enhance conceptual understanding. A more culturally and contextually adapted diagnostic tool may improve physics education and better assess students’ conceptual comprehension of force and motion within the region.

Research consistently highlights the importance of promoting creativity in curricula worldwide and within school settings. However, teachers often fail to recognize mathematical creativity (mainly described and evaluated through fluency, flexibility, originality, and elaboration) and are usually ill-prepared to enhance it in their students. Few studies have incorporated educational programs focused on mathematical creativity, showing positive results in enriching participants' knowledge and perception of creativity. Nevertheless, participants' teaching practices were not observed, leading to uncertainty about whether these participants could integrate opportunities for students’ development of mathematical creativity in their lessons. In this qualitative study, we attempt to bridge this gap by observing teachers' practices before and after an intervention focused on mathematical creativity. Seven in-service primary school Greek teachers participated in the study. Their teaching practices were examined through classroom observation, using an observation protocol, before and after their voluntary participation in an educational program aimed at enriching their knowledge of mathematical creativity and their ability to cultivate it in the classroom. Observational data were coded and analyzed using thematic analysis. Results showed that prior to the intervention, participants sparsely employed creativity-fostering approaches in their teaching. However, after the intervention, they significantly increased the time spent on creativity-provoking tasks, utilizing various creativity-promoting approaches and primarily focusing on developing fluency, flexibility, and generating new knowledge. Nevertheless, they did not significantly develop their skills in originality and elaboration, indicating the need for further support in cultivating these aspects of creativity. Future implications for professional teacher training and mathematics textbook writing are discussed.