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EJMSE is a leading, peer-reviewed research journal based in the UK that provides an online forum for studies in mathematics and science education.

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Eurasian Society of Educational Research
College House, 2nd Floor 17 King Edwards Road, Ruislip, London, HA4 7AE, UK
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College House, 2nd Floor 17 King Edwards Road, Ruislip, London, HA4 7AE, UK

'mathematics teaching' Search Results

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Teachers and teaching styles are two important factors influencing students’ academic performance. In this action research study, we investigated the differential effectiveness of two teaching methods, conventional learning (CL) and peer-cooperative learning (PCL), on students’ academic performance in fractions. A sample of 120 tenth grade mathematics students from Ibadan North Local Government Area of Oyo State in Nigeria was used for the study. The students were selected from three different secondary schools and grouped into two groups: the experimental (PCL) group and the control (CL) group, each having 60 students. A sample of 5 multiple-choice objective and 5 theory test questions titled Fraction Performance Test (FPT) was used to measure their academic performance after the treatment, and the assessment test scores were recorded. Descriptive statistics of the mean were used to answer the research question, while the two-way ANOVA technique was adopted for testing the research hypothesis at an alpha of 0.05. Summarily, the F (3, 116) statistic (= 8.55, p < .001) indicates significant differences in the effectiveness of the teaching methods. The mean scores also reveal that peer-cooperative learning was more effective than the conventional teaching approach. While the former proved to be a more efficacious treatment for female students, the latter was more suitable for male students. We recommend that different approaches be attempted by teachers, and the most effective in overcoming students’ resistance to learning and improving their academic performance be adopted.

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10.12973/ejmse.4.4.269
Pages: 269-283
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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.

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10.12973/ejmse.5.1.13
Pages: 13-26
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Each student has a different amount of time to fully understand information, students with high academic ability (UA) need less time than students with low academic ability (LA). Teachers should apply learning models that can facilitate their study time according to their individual needs. The aim of this research is to assess which learning model is most optimal in reducing the gap in understanding mathematical concepts between UA and LA students. Apart from that, this research also evaluates the effectiveness of implementing the flipped class (FC) model in increasing students' understanding of mathematical concepts, compared to the problem-based learning (PBL) model and conventional learning models. The research method used was the N-Gain Test and ANCOVA. The research results show that the FC model is the most optimal in reducing the gap in understanding mathematical concepts between LA and UA students. In addition, both FC and PBL models have proven effective in increasing students' understanding of mathematical concepts when compared to conventional models. Future research could consider combining the FC model with PBL or other learning models to see whether combining these models can improve students' understanding of mathematical concepts more significantly.

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10.12973/ejmse.5.1.27
Pages: 27-37
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The study investigated the impact of YouTube video assisted instructions (YVAI) on pre-service teachers’(PSTs) attitudes and academic performance in chemistry classroom. A quasi-experimental design was adopted for the study. One hundred and twenty (120) Pre-Service Teachers (PSTs) pursuing primary education programme constituted the participants of the study. Sixty (60) PSTs each were non-randomly assigned to the Experimental Group (EG) and Control Group (CG). Data on PSTs’ attitude and performance were collected with PSTAS and GCPT respectively. The SPSS software version 20 was used to analyse the data to generate descriptive and inferential statistics. A non-parametric analysis was used in the inferential statistics. The attitude means rank (MR=78.62) of EG (U = 713.000, Z=-6.924, p <.001) was statistically higher than CG (MR=42.38) (U = 713.000, Z=-6.924, p <.001) after treatment. The EG after treatment recorded a mean rank (80.86) statistically higher than CG (40.14), U = 578.500, Z = -6.441, p <.001 after treatment. YVAI was proven as an effective instructional strategy that enhances learners’ altitudinal changes and performance. The study recommended the use of YouTube technological-driven instructions to support classroom instructions.

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10.12973/ejmse.5.1.39
Pages: 39-50
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Learning to teach mathematics has become crucial since its application in real life cannot go unmentioned. The desire of mathematics education researchers to make mathematics concepts easier for pre-service teachers to easily understand has attracted attention. This has become indispensable since after college, pre-service teachers are deployed from K-12 to assist learners in understanding mathematics concepts. The study aimed to ascertain how improvement in the learning of mathematics concepts using the Problem-based learning (PBL) approach could be understood and/or explained among pre-service teachers. This was viewed in two folds: how improvement in learning outcomes using the PBL approach could be explained; and how pre-service teachers’ disposition about the PBL could be explained/understood. Exploratory case study design involving qualitative and quantitative data was concurrently gathered and used. This involved the use of data collection instruments such as focus group discussion, pre-post-test scores, PBL observation protocol, and PBL disposition questionnaire. The study showed that the PBL method improved the learning of mathematics concepts among pre-service teachers. Pre-service teachers also showed a positive disposition (interest, belief, and attitude) toward the PBL intervention. The authors advocated for the conduct of a longitudinal study to understand the direction of change over time.

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10.12973/ejmse.5.1.51
Pages: 51-65
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This paper aims to examine the trends around research in science teaching following the outbreak of the COVID-19 pandemic. This event had a significant impact on education institutions, as it led to the shift to online learning that challenged educators in terms of planning, implementing, and dealing with issues such as the deteriorating mental and physical health of students. This is reflected in the trends of researchers. Contemporary trends around science teaching seem to focus on new teaching practices, modes, areas of investigation, and the impact of modern technology. However, there is limited bibliometric research examining the impact of COVID-19 on science teaching. Hence, 12,840 documents published from 2020 onwards were collected and analyzed from the Scopus platform. The analysis depicted a general interest of researchers around this topic. Findings regarding the focus and area of study, country, and the yearly rate of publication are aligned with those that focus on the individual impact of the COVID-19 pandemic on teaching and science education. This can give insights to the general trends regarding the future of science teaching.

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10.12973/ejmse.5.2.67
Pages: 67-79
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This paper derives from a large research project focusing on mathematics and science assessment of student learning in three high-need, rural, and urban secondary schools in Manitoba, Canada. The study employed qualitative methods of semi-structured interviews and classroom video recordings of teaching practice experiences of 12 mathematics and science teachers, with the purpose that explore how authentic assessment forms assist effective teaching to monitor and motivate student learning achievement and growth. The results indicate that about 67% (eight out of the twelve of the participants) of the research participants practice the traditional mode of standard assessment that consists of multiple forms of questioning. The participants' rationale relates to speedy evaluations of student work, preparing feedback reports to parents and students, and objectivity of the assessment process. The other 33% (four out of twelve of the participants) of participants practice authentic assessment that concentrates on: (1) Allowing students to apply what they have learned rather than testing their ability to memorize and regurgitate concepts, (2) Allowing students to personalize their knowledge and values, (3) Encouraging group project-based learning and with the use of rubric for evaluating and monitoring, (4) Promoting deep learning to become life-long learners, (5) Recognizing, acknowledging, and validating diversity in student learning styles, interests, and aspirations, and further, authentic assessment is an excellent opportunity to apply communicative technologies such as podcasts and webinars in learning and undertaking investigations in mathematics and science learning. Furthermore, some participants asserted that authentic assessments are time-consuming, labor-intensive, and resource-demanding, aside from the limited resources and lack of training, which are some of the challenges of implementing authentic assessment. Other participants stated that all teachers must be familiar with using all assessment tools. The paper concludes that the principal plays a critical instructional leadership role in a school-wide implementation of authentic assessment.

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10.12973/ejmse.5.2.93
Pages: 93-104
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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.

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10.12973/ejmse.5.3.135
Pages: 135-145
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This study compares experts' and teachers' conceptualization of pedagogical content knowledge (PCK). The study participants included teachers (n=20) enrolled in a graduate mathematics education course on PCK. Participants responded to two open-ended questions: a) describe in your own words what PCK is; b) provide an example of PCK. The responses were collected, qualitatively and quantitatively analyzed, and then compared to those suggested by experts to identify and describe the similarities and differences between teachers’ and experts’ conceptualizations using the Pareto analysis. Experts’ and teachers’ PCK components ranking was analyzed using the nonparametric Mann-Whitney U test. Even though the results of the quantitative analysis were not significant (e.g., the observed U-value is 32 whereas the critical value of U at p < .05 is 13), the qualitative discussion on the differences between expert and teachers’ ranking suggests insightful interpretation of priorities among PCK components across the two groups.

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10.12973/ejmse.5.3.147
Pages: 147-166
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Dialogic Scaffolding: How to Design Critical Questions in Developing Students Algebraic Reasoning?

algebraic reasoning critical questions scaffolding dialogue

Mochamad Abdul Basir , Imam Kusmaryono , Hevy Risqi Maharani


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Scaffolding dialogue is a concept in learning that refers to the support or assistance given to individuals during the dialogue process. The main objective of this research is to create a basic structure of dialogue to help and support students during the learning process in improving their algebraic reasoning skills. Algebraic reasoning is a process in which students generalize mathematical ideas from a certain set of examples, establish these generalizations through argumentative discourse, and express them in a formal and age-appropriate way. The study was designed using the grounded theory qualitative model method, which used three sequential steps: open coding, selective coding, and theoretical coding. The research was conducted on students of the mathematics education department at Universitas Islam Sultan Agung. Data collection methods include algebraic reasoning ability tests, questionnaires, and interviews. Data analysis in grounded theory is an iterative and non-linear process that requires researchers to constantly move back and forth between data collection and analysis. This process aims to produce a theory that is valid and can explain phenomena well based on empirical data obtained during research. The dialogue scaffolding strategy framework in improving students' algebraic reasoning abilities includes instructing, locating, identifying, modeling, advocating, exploring, reformulating, challenging, and evaluating.

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10.12973/ejmse.5.3.167
Pages: 167-184
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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. 

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10.12973/ejmse.5.4.185
Pages: 185-198
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We aimed to explore how Early Childhood (EC) preservice teachers (PSTs) choose and apply content-specific mathematics and science standards by analyzing two sets of lesson plans and two transcripts from whole class discussions from an EC mathematics and science methods course. From our analyses, we identified major themes and explanatory categories that indicated issues related to PSTs’ standards selection process. Students’ reasoning about their choices illustrated the resiliency of their beliefs about teaching and learning EC mathematics and science, and how their own observation experiences prevailed over our explicit instruction and assignment expectations. Drawing from literature related to Lortie’s (1975) Apprenticeship of Observation, we use our findings to consider ways to better appreciate and mitigate the strength of PSTs’ incoming beliefs on their readiness to plan for and implement lessons. 

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10.12973/ejmse.5.4.201
Pages: 201-211
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Understanding and handling diversity, as well as inclusion, are critical in ensuring effective teaching and learning, especially in the mathematics classroom, where students have varied abilities. Despite the growing research in inclusive education, little is known about how mathematics teachers in the Ghanaian context understand the theory of multiple intelligences (MIs), leaving a gap in how this theory can be applied in the classroom to improve practice and inclusion. In this study, the authors explored Ghanaian mathematics teachers’ conceptions of the theory of MIs using a basic qualitative method design. 12 senior high school mathematics teachers in one municipality of Ghana were engaged through questionnaires and semi-structured interviews, including field notes, to provide information on their conceptions of the theory of MIs. Thematic analysis revealed that mathematics teachers conceived the theory of MIs as a theory of different styles for learning, multiple teaching strategies, and a theory for catering to diverse student needs. The findings highlight the need for professional development and teacher training curriculum development to enhance teachers' understanding of the theory of MIs to improve their practice and handling of inclusiveness and diversity in the classroom.

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10.12973/ejmse.5.4.213
Pages: 213-225
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This study delved into the factors affecting secondary school students’ interest to learn Mathematics. The aim was to gather insights that can inform strategies aimed at enhancing students' engagement, enthusiasm, and achievement in Mathematics education. Literature information was downloaded using databases such as Google Scholar, ERIC, Search 4 Life, Scopus, Web of Science, and Academia. Of the 129 studies obtained, 117 articles were retained after removing duplicates and studies that did not meet the themes of the study. Further filtering of studies by removing primary and higher learning school-related studies allowed the retention of 25 relevant pieces of research published between 2000 and 2024. The results from the systematic reviews analysis showed that instructional strategy, instructional materials, the importance of Mathematics, a future career in Mathematics, students’ attitudes towards Mathematics, students’ enjoyment of Mathematics lessons, teachers and parental support, and students’ perception towards Mathematics, are amongst the key factors affecting positively secondary school students’ interest to learn Mathematics.  

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10.12973/ejmse.5.4.227
Pages: 227-240
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This study investigated the integration of artificial intelligence (AI) tools into secondary school chemistry education in Zimbabwe, assessing their impact on student engagement and academic performance. Grounded in Vygotsky’s Sociocultural Theory and Cognitive Load Theory, the research employed a mixed-methods approach within a pragmatic framework. Quantitative data were collected through pre-test and post-test assessments and structured surveys, comparing an experimental group using AI tools with a control group employing traditional methods. Qualitative data from student and teacher interviews and classroom observations were analysed thematically. ANCOVA analysis revealed a statistically significant difference in post-test scores between the experimental and control groups, F (1, 117) = 188.86, p < .005, η² = 0.617, demonstrating a large effect size of AI integration on academic performance. Students in the experimental group exhibited a mean improvement of 20%, controlling for pre-test differences. Additionally, interaction effects between AI use and gender (F (1,115) = 0.17, p = .684) as well as prior chemistry knowledge (F (1,115) = 0.05, p = .829) were not statistically significant. Furthermore, 85% of the experimental group reported higher engagement levels, confirming AI’s role in fostering motivation and conceptual understanding. AI tools facilitated personalized learning paths, interactive simulations, and real-time feedback, optimizing cognitive efficiency and deep learning. Despite these advantages, significant challenges emerged, including limited internet access, insufficient technological resources, lack of teacher training, and curriculum integration difficulties. These barriers highlight the need for strategic investments in digital infrastructure, professional development for educators, and curriculum revisions to fully integrate AI into chemistry education. The findings underscore AI’s transformative potential in STEM education within developing nations. Addressing infrastructural and pedagogical challenges is critical to maximizing AI's impact, ensuring equitable access, and fostering long-term sustainability in educational innovation.

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10.12973/ejmse.6.1.1
Pages: 1-15
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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.

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10.12973/ejmse.6.1.17
Pages: 17-31
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Effects of Mathematics Teaching Styles on Students’ Performance: Moderations of Gender, School Type, Location, and Ability Group

achievement considerateness openness rigid teaching styles

Bishnu Khanal , Shashidhar Belbase , Binod Babu Dhakal , Bed Raj Acharya , Mukunda Prakash Kshetree , Ram Krishna Panthi , Maxwell Peprah Opoku


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Global concern surrounds students' mathematics learning, development, and achievement. Scholarly discussions have explored various factors influencing students' mathematics performance. However, more information is needed to understand the impact of mathematics teaching styles on student outcomes in developing contexts like Nepal. This study examines the moderators of mathematics teaching styles and their influence on students' performance. To achieve this, the Teachers' Teaching Style Questionnaire (TTSQ) collected quantitative data from 469 grade nine students across 14 high schools in Kathmandu, Lalitpur, and Bhaktapur districts of Nepal. Confirmatory factor analysis, path analysis, and moderation analysis were performed to examine the effects of teaching styles on student achievement in mathematics. Key findings indicate that teaching styles, such as consideration and openness, are not significant predictors of student achievement, but rigid teaching styles can predict student achievement in mathematics. However, impact of the rigid teaching style was negative on student achievement. School type influenced the relationship between performance and considerate teaching, favoring private schools. School location influenced the relationship between considerate teaching and student performance in mathematics, favoring rural schools. Likewise, urban schools had a negative effect on the relationship between teacher openness and student performance, but rural schools had a positive effect on their relationship. Furthermore, low and high-ability students moderated the relationship between considerate teaching and student achievement, with the negative effect of low ability on considerate teaching and student performance and the positive influence of high ability on considerate teaching and student achievement. Student ability influenced the relationship between teacher openness and student performance, with a negative moderations of low and moderate ability students. The study concludes by emphasizing the importance of teacher training in teaching styles for high schools in Nepal and similar contexts.

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10.12973/ejmse.6.1.33
Pages: 33-49
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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.

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10.12973/ejmse.6.1.51
Pages: 51-64
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Comparison of mathematics textbooks between Indonesia and Singapore is one way to assess the educational process. This article provides insight into how mathematical concepts are taught and applied in problem-solving in each country. The study provides knowledge about how mathematical concepts are constructed by teachers and students and implemented in problem-solving between countries. This study aims to compare task designs in high school mathematics textbooks between Indonesia and Singapore based on the type of task, technique, technology, and theory used, with a focus on cubes and cuboids. The comparative analysis of the two books uses praxeological theory, the main construction of Didactic Anthropology Theory, with reference to epistemological model (REM) model analysis. The research results show that there are differences in the approaches, methods, and habits used in task design in the two countries. The techniques, technology and theories found in the two task designs show that Indonesian mathematics textbooks use more verification and drawing up conclusions which are influenced by perceptual techniques. Meanwhile, the task of designing Singapore's mathematics textbooks involves more direct investigations into forming students' knowledge through physical and operational techniques. The techniques, technology, and theories used in both designs influence the number of learning obstacles. Epistemological constraints occur in Indonesian textbooks and only a few in Singapore textbooks. These findings provide insight into how to build mathematical knowledge for students through good assignment design based on a country's educational character.

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10.12973/ejmse.6.1.65
Pages: 65-78
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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.

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10.12973/ejmse.6.2.97
Pages: 97-112
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