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Fostering Mathematical Creativity in Primary Education: Impact of an Educational Program on Teachers’ Classroom Practices
classroom observation creativity-provoking tasks intervention mathematical creativity teachers’ practices...
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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Facilitating Students’ Development of Mathematical Competencies by Means of Textbook Design: A Danish Case Study
mathematical competencies task design textbook design three-dimensional content model...
For decades, a global trend in mathematics curriculum development has placed greater emphasis on learning goals that seek to capture different kinds of processes that students should master. For Danish primary and secondary mathematics education, these ambitions are expressed in terms of a set of mathematical competencies, in line with the so-called KOM framework. However, it has proved challenging to implement the competencies in mathematics classrooms and actual teaching practice. Matematrix is a series of Danish mathematics textbooks for grades K-9 designed to support mathematics teachers in facing this challenge. Following a short introduction to the KOM framework, I – as one of the designers and authors of the textbooks – present a key element in this endeavour: A three-dimensional model of content and objectives combining mathematical competencies, mathematical core concepts and grade levels. I then describe the use of this model in the specific case of Matematrix at three different levels of textbook design: The structure of the general content of the books, the focal points for each chapter, and the development of different kinds of tasks for the students to work with.
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Assessment Practices of Ghanaian Senior High School Mathematics Teachers: A National Survey of Practices, Self-Rated Skills, and Predictors
assessment ghana mathematics education secondary school...
This study investigates the assessment practices of senior high school mathematics teachers in Ghana, examining both the dominant classroom methods and teachers’ self-rated assessment skills, as well as the extent to which teacher background characteristics are associated with these practices. Drawing on a national survey of 516 teachers, the results show a strong reliance on traditional paper-and-pencil tests, with high self-reported confidence in administering such assessments. Formative and data-driven practices, including the use of standardized test data and diagnostic assessment, remain infrequently implemented and are associated with lower self-assessed competence. Multiple regression analysis revealed that participation in assessment-focused professional development was the only significant predictor of both broader assessment practice and higher perceived assessment skill, while years of teaching experience, gender, WAEC examining roles, and academic qualifications were not significantly associated. These findings underscore the importance of targeted professional development in strengthening assessment literacy and highlight persistent gaps between policy intentions and classroom realities. The study recommends sustained, context-relevant training to promote more effective and varied assessment practices in mathematics education.
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