Around the world the prevalence of mathematics anxiety and disengagement point to a poor sense of student 'mathematical wellbeing'. Mathematical wellbeing is defined here as the fulfilment of one's ultimate or core values, accompanied by positive feelings and functioning in mathematics education. Yet student wellbeing and how to support it in specific school subjects including mathematics is vastly under-researched. Also, despite outperforming other countries in international mathematics assessments, East Asian students generally appear to experience poor affect and high academic burden in mathematics education, which are indicative of poor mathematical wellbeing. In this context, this explorative and descriptive study investigates the values that are associated with the mathematical wellbeing of a cohort of Chinese primary school students. 258 Grade three students in Chengdu, China responded to a questionnaire which explored teacher-nominated mathematics learning moments that students valued most for their mathematical wellbeing. Findings pointed to students valuing all the learning moments to some extent, with good grades, fun and interest, mathematics-themed videos, and teacher praise rated most commonly for wellbeing. The values underlying these learning moments are similar to the seven mathematical wellbeing dimensions found in Australian classrooms. The findings also highlight the cultural subjectivities involved, in which the same classroom actions can reflect different underlying values across cultures, and in which a particular value can be espoused in different ways in different places. We also look ahead to suggest how teachers might support students' mathematical wellbeing, by recognising and then fulfilling their students' values in the mathematics classroom. Copyright © 2022 Springer.

This study investigated the status of equity in mathematics education in Hong Kong based on data from TIMSS 2011 to 2019 and the changes in education equity across the three cycles. The effects of various student-, family-, and school-level variables on students’ mathematics achievement were examined and compared using multilevel modeling. Results showed that there were significant variances between schools in mathematics achievement in Hong Kong, especially for eighth grade students. Overall, boys performed better in mathematics than girls in these three TIMSS cycles in Hong Kong, except for eighth grade boys in the cycles of 2011 and 2019. The family and school socio-economic status (SES) related to the possession of traditional materials (e.g., desks and books) and parents’ highest education level had positive and significant effects on students’ mathematics achievement, and the effects of the predictors increased from the 2011 cycle to the 2019 cycle. SES related to the possession of home digital devices (e.g., computers and internet connection) also had positive but much less substantial effects. School location and resource availability did not have significant effects. In general, the mean levels of SES and school resource availability in Hong Kong is improving. However, the effects of some important student- and school-level factors on mathematics achievement increased. Suggestions for improving education equity in Hong Kong are discussed. Copyright © 2022 Springer.

During the COVID-19 pandemic, teaching and learning activities had to be conducted fully online. To sustain quality education, teachers could use open educational resources (OERs) available in the public domain to make online mathematics teaching more effective and interactive. However, we currently know little about the use of OERs in primary school settings. Therefore, this study seeks to understand their school policies and guidelines on and teachers’ experience of using OERs during the pandemic. Our overarching goal is to provide recommendations on the future development and use of OERs in the context of primary school mathematics education. We employed a qualitative approach and interviewed 13 mathematics teachers from different primary schools. Our findings suggest that teachers tended to rely on OERs more during the pandemic than before. They used OERs to introduce mathematics and to facilitate class interactions in online lessons. However, not all schools had policies and guidelines on the use of OERs in place. Some teachers also encountered challenges when using OERs, such as finding that the resources were unsuitable for school contexts and lower primary school students. Based on the findings, we discuss some possible strategies for the improvement, such as ensuring the suitability of OERs, through developer–teacher collaborations. Copyright © 2022 by the authors.

Mathematical modeling is considered a bridge to STEM education and has been incorporated into K–12 mathematics curriculums in various countries. However, it has a relatively short history in Hong Kong schools. The lack of high-quality, relevant exemplars of mathematical modeling activities is a challenge to teacher practice in this area. Hence, this study aims to establish a design framework for mathematical modeling activities suitable for teachers and students in Hong Kong. We explore the design and content of the official mathematical modeling exemplars published by the Hong Kong Education Bureau using a document analysis approach. The findings provide the basis for developing a framework to be used in the future design of mathematical modeling activities. Four exemplars were found and analyzed in terms of their structural components, level of learning experience in mathematical modeling, and design characteristics. Based on our findings, we discussed various strategies to enhance the design of a mathematical modeling activity, including setting diversified learning objectives, cross-subject collaboration when formulating the problem context and instructions, designing more activities suitable for average and underperforming students, emphasizing the evaluation of modeling outcomes, and providing relevant supporting materials. Our study thus lays the groundwork for advancing the teaching and learning of mathematical modeling in school contexts. Copyright © 2022 by the authors.

Purpose:Amid rapid technological development in the Fourth Industrial Revolution, this article engages with an important question, especially in the context of science, technology, engineering, and mathematics (STEM) education: Can technology itself transform teaching and learning? Design/Approach/Methods:Constructionist learning responds to the current "maker movement," which draws upon the innate human desire to make things with our hands. Two important elements of constructionist learning-technology literacy and engineering design-have implications for meeting the global need for expertise in the STEM disciplines. To date, the practice of teaching and learning mathematics remains to be dominated by manipulation of symbols with the paper-and-pencil medium. In response, this article discusses how constructionist learning can play an important role in teaching and learning school mathematics via a transdisciplinary approach for STEM education.Findings:Two examples of the authors' empirical research on constructionist learning in school mathematics classrooms with 3D printing are illustrated. Findings suggest that the 3D Printing Pens played an active role in the construction of artifact (physically) and mathematical meaning (cognitively).Originality/Value:The empirical results as discussed in this article warrant more design-based classroom interventions to further investigate students' constructionist learning in technological, hands-on, and innovation-oriented environments. Copyright ©2021 SAGE Publications.

In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12-14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing problems, programming, create computational abstractions, as well as troubleshooting and debugging. Our results suggested that the challenges experienced by students were compounded by both having to learn the CT-based environment as well as to apply mathematical concepts and problem solving in that environment. Possible explanations for the observed challenges stemming from differences between CT and mathematical thinking are discussed in detail, along with suggestions towards improving the effectiveness of integrating CT into mathematics learning. This study provides evidence-based directions towards enriching mathematics education with computation. Copyright ©2021 SAGE Publications.

This paper documents the process and outcome of the development and validation of a coding scheme to analyse mathematics classroom discourse in the context of Hong Kong primary schools. The objective of this coding scheme was to systematically analyse teacher discourse behaviours before and after an intervention programme; the programme aimed to assist in-service teachers to develop conceptual and practical tools for engaging students in dialogical discourse in mathematics classrooms. This paper provides a detailed outline of what took place in designing and refining the coding scheme as well as improving its validity and reliability. The developed coding scheme can be effective for highlighting dialogic discourse, authority structures and student participation in mathematics classrooms and beyond. Consequently, it was possible to assess the efficacy of the teacher intervention programme. On the other hand, the developed coding scheme could be used to help teachers to gain a sense of efficacy over their instruction by giving them a roadmap for what they can do before and during instruction. Copyright © 2021 Routledge.

Teachers and students have experienced an unusual year in 2020 because of the COVID-19 pandemic. To minimize the risk of the epidemic spreading, face-to-face lecturing hours have been reduced, resulting in a substantial need for online instruction. Our project thus aims to develop open access flipped learning resources (e.g. dynamic courseware and instructional videos) for secondary school mathematics teachers and students in Hong Kong. The overarching goal of this study is to make theoretically and empirically supported suggestions for developing the resources. Experiential learning theory was used as the theoretical foundation for developing the resources. A three-cycle recursive instructional design approach involving 34 mathematics educators was used to develop and improve materials that better meet the needs of frontline teachers. Both the qualitative (semi-structured interviews and written feedback) and quantitative (evaluative survey) data collection methods were conducted. The findings of this study reveal the concerns of and requests from our teacher participants, such as providing more detailed guidelines, advanced questions, and interactive quizzes. The findings also reflect the substantial need for open access flipped learning resources in secondary schools. Based on the lessons learned, suggestions are made to inform future development of resources (e.g. inviting retired teachers for assistance). Copyright © 2021 Informa UK Limited, trading as Taylor & Francis Group.

本文透過個案,探討一種教師協作模式-課堂學習研究 (Learning Study) 的實踐共同體 (Community of practice)-如何協助老師解決智障學生學習數學所遇到的困難,從而提升課堂教學的成效。研究發現,課堂學習研究模式,使教師能透過前測及訪談,更具體掌握學習難點及教學焦點,而透過備課、觀課與修訂的教學循環能使教法更殝完善。實踐共同體的安排可使來自不同學校的教師進行跨校協作,有助特殊學校的教師提升教學技巧,並一同創造教學知識。本文建議此種模式可以推廣作為特殊教育老師一種持續專業發展的模式。This paper investigates the extent of a teacher collaborative model, Learning Study, in realizing the Community of Practice in special schools through a case study which helps teachers solve the learning problems of the mentally disabled students in the subject of Mathematics so as to enhance learning and teaching effectiveness. The findings indicate that the Learning Study approach enables teachers identify the learning difficulties and the teaching focal points from the pre-test and pre-lesson student interviews. During the co-planning, lesson observation and revising process of the teaching cycles, the pedagogies are further improved. The cross-school collaboration of the Community of Practice is able to help teachers in special schools enhance their pedagogical skills and create new instructional knowledge. This paper suggests that the collaborative model of Learning Study could be promoted as an approach for the continuing professional development of teachers in special schools.
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