Felix Klein's notion of double discontinuity between university mathematics and secondary school mathematics has persisted in mathematics teacher education. Situating this study in Hong Kong, we investigated three prospective secondary teachers' experiences in higher education and secondary mathematics classrooms, including their figured worlds, identities, and mathematical knowledge constructed through those experiences. Our analysis revealed their contrasting experiences in these two contexts, adding to our understanding of the phenomenon of double discontinuity in terms of not only how it is relevant to Hong Kong but also how it may manifest in the specific cultural context. Moreover, we found coherency and continuity during the prospective teachers' secondary-tertiary transition; their learning experiences in both environments served as critical resources upon which they reflected to envision their future mathematics teaching. We conclude with implications and suggestions for mathematics teacher education to support prospective teachers' (and their future students') transitions between high school and university mathematics. Copyright © 2022 Springer.

Mathematics is one of the core subjects in engineering education and forms the foundation of all disciplines in engineering. In Hong Kong, a significant number of students are admitted to engineering programmes without sufficient mathematical background. Engineering mathematics is essential for teaching and learning many fundamental and advanced engineering subjects. Due to this reason, a mobile application (app) is developed as one of the core components of engineering mathematics education by offering students flexible and self-initiated learning. In this study, a hypothesis model is proposed to investigate the effectiveness of student's learning in engineering mathematics with the developed mobile app. The results showed that the ease and convenience of using the mobile app have a positive effect on students' autonomous learning, and motivation and have a positive relationship with the learning effectiveness of the mobile learning (M-learning) app. It was found that the average marks of the assessment tests were significantly better than the screening test by using the app and notes. The current study has important implications in that the M-learning app should be used as a supportive role to supplement traditional teaching approaches. Copyright © 2022 Routledge.

This article begins with a historical overview of the STEM education policy and related classroom practices in Hong Kong. Against the backdrop that the Hong Kong education authority has been promoting STEM education over the past few years, there has been a pressing need for effective strategies of implementing STEM education in the context of reduced class size classrooms (i.e. small class teaching). With a view to addressing this need, this article strives to exemplify the incorporation of STEM education into small class teaching settings. Intended as a conceptual paper drawing on design approaches for STEM lessons and a small class teaching framework, the article demonstrates the relevance of STEM education to small class teaching. Two illustrative lesson design examples are provided to showcase how the design approaches and framework can be operationalised. In addition, the article also offers a thoughtful discussion concerning the potential challenges of delivering the two sample lessons as well as the coping strategies. It contributes to understanding of STEM education theories and provides a valuable reference for educational practitioners. Copyright © 2022 Springer.

One hundred and eighty ethnic minority students studying in Hong Kong mainstream schools were found to value knowledge, activities, practice, product, inquiry, process, feedback, and technology in their mathematics learning. To identify these values, a mixed methods approach was adopted, using a values questionnaire as a lens to identify what students find important in mathematics learning, and followed by semi-structured focus group interviews for details and verification. The data also revealed that ethnic minority students valued activities and practice more than their ethnic Chinese peers. Implications for research and instructional practice are offered. Copyright © 2022 Routledge.

We report on an action research study conducted by two mathematics teacher educators in the United Kingdom and Hong Kong. The project consisted of three phases, the first two taking place in our respective teacher education courses and a final phase in which prospective mathematics teachers from both locations engaged in dialogue through a speculative fiction task. Our aim was to explore how our prospective mathematics teachers can be supported in becoming mathematics teachers for sustainable futures by innovating our own mathematics teacher education curricula. This study suggests that generative methods which support teachers in speculating on paths to potential futures as teachers of mathematics, can provide access to how prospective teachers negotiate issues in relation to the climate crisis and ways in which they conceive of related changes in their practices. By identifying the aspects of mathematics teaching that are viewed by the prospective teachers as contingent, and through offering tasks that support an expansion of this view, teacher educators are better placed to support the development of teaching practices needed for sustainable futures. Copyright © 2022 Taylor & Francis.

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.

Pre-service mathematics teachers (PSTs) enter university with diverse beliefs and understandings of teaching and learning; yet, they may not be aware of how these conceptions are related to their epistemological and efficacy beliefs. This study explored how the mathematical beliefs, mathematics self-efficacy, and mathematics teaching efficacy of PSTs predict their teaching and learning conceptions. Participants were 80 PSTs (59.7% men and 40.3% women) who were studying in a 5-year full-time undergraduate degree program at a comprehensive research university in Hong Kong. Multiple regression analyses were performed to investigate the relationships between the PSTs' teaching and learning conceptions and various predictors. The results indicated that mathematical beliefs and personal mathematics teaching efficacy, a component of mathematics teaching efficacy, predicted traditional conceptions. Mathematics self-efficacy and mathematics teaching outcome expectancy, another component of mathematics teaching efficacy, predicted constructivist conceptions. This study yields insights into the different roles of mathematical beliefs, mathematics self-efficacy, and mathematics teaching efficacy in explaining and predicting the teaching and learning conceptions among PSTs, which demonstrates the potential to inform and improve PSTs' professional learning and development. Copyright © 2022 Springer.

Background and aims: Mathematics is one of the critical elements of STEM education. However, the importance of mathematics has not been fully emphasized in the practice of STEM education (Martín‐Páez et al., 2019). Promoting STEM education in mathematics education is one of the focal points of the Hong Kong school curriculum (CDC, 2017). In this study, we introduced an innovative STEM learning activity in the classroom based on the topic of 3D shapes in the primary mathematics curriculum. The aim was to provide an example of a school-based mathematics curriculum integrated with STEM education and offer teachers the design and development of STEM pedagogy.Methodology or process(es) undertaken: Focusing on the learning objective of recognizing the concept of 3D shape, we designed an interdisciplinary STEM learning activity in grade two in a Hong Kong primary school. Students learned the concept of a cylinder in the Funny Zoetrope Project. A curriculum consultant, a mathematics teacher and a visual art teacher collaborated to implement the whole teaching design within seven lessons (five mathematics lessons and two visual art lessons). A series of learning booklets were designed for teaching and learning. Regarding the process of preliminary preparation, teaching arrangement, course implementation, and after-class feedback, the STEM learning activity was incorporated into the school-based mathematics curriculum.Results and conclusions: The STEM learning activity based on the mathematical topic provides students with opportunities to see, know and understand the mathematical concept in STEM education. Students experience interdisciplinary learning during the process of making a zoetrope. They learn to integrate and apply knowledge and skills they have learned in mathematics and visual art. Some generic skills such as problem-solving, collaboration, communication, and self-assessment skills are also developed. Copyright © 2022 7th STEM in Education Conference.

Background and aims: The theoretical rationale of STEM education has originated from the curriculum integration theories. Numerous studies have discussed the integration of STEM education in covering the interconnected nature of the four disciplines and real-life problems. Three approaches have been widely mentioned, which included multidisciplinary, interdisciplinary and transdisciplinary (Vasquez et al., 2013). Although teachers play a core role in designing and implementing STEM pedagogy at schools, little research explored mathematics teachers’ views of STEM. Hence, this exploratory study aims to explore mathematics teachers’ perceptions of STEM education to address the issue. Specifically, the study sought to describe the concerns and challenges faced by Hong Kong mathematics teachers in implementing STEM education, and to expand our understanding of implementing STEM education in mathematics teaching.Methodology or process(es) undertaken: By purposive sampling, nine Hong Kong mathematics teachers (4 primary, 5 secondary) were invited into online interviews. Interviewees were selected based on the criteria that they had taught mathematics in schools and had participated in STEM education. Their teaching experience ranged from 5 to 15 years. They were asked to report their views on the goals and values of STEM education, the approaches of STEM integration, challenges they faced, and its relationship to mathematics.Results and conclusions: It is found that two values of STEM education are recognized by Hong Kong mathematics teachers, which include promoting students' personal development and social technological innovation. Three integration approaches of STEM pedagogy (multidisciplinary, interdisciplinary and transdisciplinary) are identified. The transdisciplinary approach is most preferred, but the interdisciplinary approach is most adopted. Teachers perceives both internal and external challenges when implementing STEM at schools. The external challenges are related

近些年來，作為一種整合課程的STEM教育在全球各地蓬勃發展。如何將學校常規教學跟STEM學習有效地融合起來，是推行STEM教育需要面對的問題。我國香港地區的小學數學課堂教學在探索實踐中，基於數學課題設計相關的STEM教學活動，在協助學生理解數學學科知識的同時，促進他們跨學科、跨領域知識的學習和應用。 Copyright © 2022 江西教育出版社有限責任公司.