Search results for: Mathematics education
Page 1/10 99 items
Balancing competing demands: Enhancing the mathematical problem posing skills of prospective teachers through a mathematical letter writing initiative
Responding to mathematical problems is a core activity in classrooms. The problems that teachers select determine the mathematical content, processes and nature of mathematical inquiry occurring in classrooms and thereby contribute to the development of mathematical skills and dispositions. Selecting, designing or reformulating mathematical problems is a critical skill, then, for prospective and practising teachers. This study explores the influence of a mathematical letter writing initiative in developing the problem posing skills of 28 prospective primary teachers. We examine the characteristics of mathematical problems designed by prospective teachers, and their understandings of what constitutes a good mathematical problem, prior to and following completion of a 12-week letter writing initiative with 10–11-year-old children. Analysis of the data reveals the benefits of engaging in the initiative as evidenced in improvements in several problem characteristics. There was an increase in the number of multiple approach and multiple solution problems and in the level of cognitive demand of problems posed. The challenge of posing non-traditional problems, alongside the competing demands of building in opportunities for success, may have diminished participants’ ability to evaluate and attend to the cognitive demand of problems.
Updated: Aug. 02, 2022
This study examined professional teacher noticing in the context of written responses 12 pre-service teachers (PSTs) provided in a reflective journal after posing addition and subtraction problems for students in an after-school tutoring program. Professional teacher noticing skills, attending, interpreting, and deciding, were situated within the well-defined mathematics content and associated trajectory of student strategies for the meaning of addition and subtraction. A three-point rubric was designed and utilized to analyze PST attending, interpreting, and deciding responses. Results characterize what PSTs “could do” relative to each skill as well as development of noticing skills over time. Results also highlight how PSTs included a rationale and next steps in deciding responses that related to supporting student understanding of the meaning of addition and subtraction, providing additional practice, and teaching solution strategies. Implications for teacher education are discussed.
Updated: Jan. 23, 2022
Human-in-the-loop simulation is a valuable tool that can support novice teachers in learning how to lead classroom discussions. The authors ground their use of simulation in a theory of practice-based teacher education, examining how authenticity is theorized around approximations of practice. They then illustrate the use an approximation of practice approach, discussing guiding principles of project work in which novice teachers learn to facilitate small-group discussions with digitally simulated fifth-grade students. Several provocative vignettes illustrate the complexity of authenticity, suggesting additional theorization to help use authenticity as more a malleable attribute than as simulation’s end goal. One implication is that more study is needed, in the context of using virtual environments and humans in teacher education, addressing authenticity, participant perception of authenticity, and their interaction.
Updated: Aug. 20, 2021
Literacy today relies on a readers’ ability to analyse text critically. This case study investigated preservice teachers’ critical analysis of media text containing visuals and representations. In particular, the analysis focused on mathematical factors that impact on readers’ interpretation of diverse visuals. Data was gathered from the 23 preservice teachers, enrolled in the Graduate Diploma program at one Australian university. They participated in a series of mathematics learning sessions focused on the critical analysis of a selection of media items. The paper argues that the ability to critically analyse graphs and visuals relies on mathematical knowledge and that the ability to critically analyse such representations is a necessary component of mathematical literacy and everyday literacy. Mathematics teachers require well-developed critical analysis competencies to enable them, and ultimately their students, to critically analyse representations in everyday text. The paper illustrates that drawing on diverse visuals from the media can be productively used to develop critical analysis competencies.
Updated: Mar. 17, 2021
This study aimed to explore the mentoring experience within the context of a science, technology, engineering and math (STEM) specific mentoring program for urban, at risk, high school youth. The authors found that a common theme that touched on all PAMI constructs was that communication with scholars was crucial to success. Specifically, they argue that communication impacted the relationship emphasis, the facilitative focus, the confrontive focus, and mentor modeling.
Updated: Nov. 21, 2018
This study examines how prospective teachers (PTs) perceive social justice in K-12 mathematics. The author argues that the framework of What, Who, How serves as a tool to understand prospective teachers’ views, to navigate a broad range of literature on social justice mathematics, and a means of informing the practice of teachers and teacher educators. The author claims that the WWH may help identify views that are more easily accepted by PTs.
Updated: Nov. 18, 2018
Mentoring Teacher Trainees of Mathematics for ESL Learners in Post-Compulsory Education Reflections and Challenges
This article aims to reflect on the experiences and challenges of a mentor, which brought about by subject-specific mentoring within mathematics for English as a second language (ESL) classes for 16-18-year-olds. This article has provided a mentor’s perspective on the enactment of mentoring in a specific context. The author has demonstrated how specific guidance in the mentoring literature may be enacted and provided support. Furthermore, the author emphasized the importance of mentors’ and mentees’ attention to the detail of the particular context, notably – in this case – the issues faced by ESL learners of mathematics in post-compulsory education in England.
Updated: Nov. 01, 2018
This study investigates the insights and challenges that prospective teachers (PSTs) experience when exploring early algebraic reasoning. The findings indicate that when PSTs engage in early algebra experiences during their preparation for teaching, they may experience meaningful new insights but may also face conceptual challenges. The author also argues that the results suggest that PSTs may benefit from developing informal ways to represent algebraic expressions and equations.
Updated: Jul. 15, 2018
Teacher Educators’ Practice and Vision of Good Teaching in Teacher Education Reform Context in Ghana
This study examines eight teacher educators’ practice and vision of good teaching of primary mathematics. The author concludes that it is clear that teacher educators’ practice and vision of good teaching play a critical role in shaping learning opportunities of pre-service teachers and teacher education reform will not succeed without reforming the way teacher educators learn to teach pre-service teachers.
Updated: Jul. 15, 2018
This study aimed to examine the relationship between policies related to the recruitment, selection, preparation, and certification of new teachers and (a) the quality of future teachers as measured by their mathematics content and pedagogy content knowledge and (b) student achievement in mathematics at the national level. The findings revealed statistically significant associations between the overall strength of these quality assurance arrangements and the quality of graduates. The authors found that countries with strong quality assurance arrangements, such as Chinese Taipei and Singapore, scored highest, whereas countries with weaker arrangements, such as Georgia and Chile, tended to score lower on these measures. The results also showed a statistically significant relationship between quality assurance arrangements and the mathematics achievement of students.
Updated: Jul. 01, 2018