Adopting a language other than the first as the medium of instruction in teaching mathematics can create significant problems for students' mathematical learning. However, there is little research on the ways in which bi/multilingual mathematics teachers can make use of diverse multilingual and multimodal resources to keep students engaged in learning abstract mathematical knowledge. This article aims to explore how an English-medium-instruction (EMI) mathematics teacher creates different hypothetical scenarios through embodied enactments to enhance students' mathematical understanding and motivate students' interest in learning mathematics. The data of this study is obtained from a focused classroom observation in a Hong Kong EMI secondary mathematics classroom. Multimodal conversation analysis is employed to analyse the classroom interaction data, and the analysis is triangulated with video-stimulated-recall interviews which are analysed with interpretative phenomenological analysis. This article aims to extend the notion of embodied enactment as a form of translanguaging to facilitate mathematical learning and develop students' motivation in learning mathematics in the EMI setting. Particularly, this article argues that embodied enactment creates a translanguaging space for the EMI teacher to achieve mathematical teaching. Copyright ©2023 Sage Publications Ltd.

Purpose: This study explored the mathematical dispositions of Hong Kong mathematics pre-service teachers (PSTs). It also constructed a mathematical disposition framework comprising their affective, cognitive and functional dispositions towards the subject. Design/methodology/approach: Thirty-one participants completed three structured metaphor tasks and one open-ended metaphor task in which they shared their views on mathematics. Responses were examined qualitatively and quantitatively. Coding based on thematic analysis was utilized to summarize the specific contents of the mathematical dispositions expressed by the PSTs, and a 5-level scoring scale was employed to evaluate the strength of the dispositions as represented by different metaphor types. Findings: The findings suggest that the mathematical dispositions of pre-service mathematics teachers were generally positive. However, the overall level was not high. The most prevalent metaphors used to describe mathematics were “rice”, “blue” and “dog”. Research limitations/implications: Hong Kong mathematics PSTs' mathematical dispositions are examined by using metaphorical tasks. Three categories are identified: affective, cognitive and functional dispositions towards mathematics. Originality/value: This study has proposed an original framework for describing mathematical disposition. Copyright © 2023 Emerald Publishing Limited.

Given the demands on instructors created by the COVID-19 pandemic, teachers have been compelled to integrate active learning pedagogies supported by mobile technologies to sustain students' interactive engagement. This study describes the implementation of a novel active pedagogy - the collaborative problem-based learning and peer assessment (Co-PBLa-PA) method, implemented through interactive online whiteboards (IOWBs) in junior secondary mathematics classes in Hong Kong. Data were collected from 87 Form 1 students and analysed to test three hypotheses postulating the main effects of the Co-PBLa-PA method on students' learning approaches using IOWBs. A pre-survey (SPQ) on students' learning approaches and a post-survey (SPQ) on students' learning approaches and their perceptions of technology-enabled active learning (TEAL) were administrated. Results showed the Co-PBLa-PA method, using IOWBs, increased students' learning performance and promoted significant deep learning. A significant positive correlation also emerged between deep learning approaches and students' perceptions of TEAL using IOWBs. Finally, limitations and directions for future research are discussed. Copyright © 2023 Inderscience Enterprises Ltd.

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.

Research has demonstrated the positive impact of active learning on students’ learning outcomes, particularly in science, technology, engineering and mathematics (STEM) fields. However, few studies have explored the impact of active learning via problem-based collaborative games in large mathematics classes in the context of Asian tertiary education. This study assesses the effects of active learning on students’ learning outcomes using class test scores and the calculus concept inventory (CCI) to test the conceptual understanding of the basic principles of differential calculus, in a first year calculus course in Hong Kong. Three hypotheses were tested to determine the effects of game-based collaborative learning on learning mathematics among students. Active learning through a problem-based collaborative learning methodology was employed, using Kahoot!, a game-based learning platform. Results supported all three hypotheses, demonstrating a statistically significant increase in students’ conceptual understanding and examination performance, based upon their individual perceptions of active engagement and time spent in active learning. Our results indicated that active learning “levels the playing field”, in the sense that students with less pre-requisite background knowledge, using a problem-based collaborative learning methodology, were relatively more inclined to catch up or even exceed the performance of students with a stronger prerequisite background knowledge, at the end of the course. Copyright © 2019 by the authors.

Recent studies on classroom discourse have challenged the traditional classroom role set and emphasised equal contributions from the participants and the emergence of knowledge through active participation. Co-learning emphasises the process in which teachers and students attempt to adapt to one another's behaviour and learn from each other in order to produce desirable learning outcomes. Current research has paid little attention to the ways in which content teachers and students jointly negotiate new knowledge in bi/multilingual classrooms. Based on data collected from a linguistic ethnography in Hong Kong English-Medium-Instruction secondary mathematics classrooms, this paper uses translanguaging as an analytical perspective to analyse how the EMI teacher and students co-learn in the classroom. The data are analysed using Multimodal Conversation Analysis and triangulated with the video-stimulated-recall-interviews which are analysed using Interpretative Phenomenological Analysis. The paper argues that translanguaging creates a safe space for co-learning that emphasises equity in knowledge construction and challenges the hierarchical relationship between the teacher and the learner. Copyright © 2021 Routledge.

The Education Bureau (EDB) of Hong Kong has published an official document related to computational thinking (CT) and coding education in 2020, named as the “Computational Thinking - Coding Education: Supplement to the Primary Curriculum”, to facilitate teaching and learning of computational thinking and coding education in local senior primary schools. At the same time, the Curriculum Development Council (CDC) of Hong Kong has also encouraged and recommended schools to promote a school-based CT education, to meet the needs of 21st century learners. To examine the effect that integrating computational thinking into mathematics education in senior primary education, a 3-year research will be conducted from January, 2021 to December, 2023, to demonstrate the importance of the concepts of integrated teaching which may change teachers’ views from teaching computational thinking to programming independently, to considering teaching computational thinking as applicable to any other fields, especially in mathematics education. In addition, the study aims at helping computational thinking educator to understand what computational thinking is, how to teach computational thinking in mathematics education as an integrated subject, and to develop computational thinking educator the essential skills and pedagogical knowledge in teaching computational thinking activities. Copyright © 2021 Global Chinese Conference on Computers in Education.

It has been well documented that active learning (AL) improves student learning outcomes in education. This quasi-experimental study explores the effect of active learning on students' knowledge of calculus concepts, in the form of the Calculus Concept Inventory (CCI), regular assignment scores, and test scores, during an 8-week calculus tutorial program. The active pedagogies used were cooperative problem-based learning and peer assessment, implemented using an interactive online whiteboard (IOWB) called RealtimeBoard. This study reveals statistically significant evidence that active learning increases students' conceptual understanding and graded assignment performance in a first-year calculus class in Hong Kong. Furthermore, this study contributes towards a better understanding of how active learning can be implemented effectively in Asian tertiary mathematics education. Copyright © Springer.

This study examined the bidirectional relationships among Chinese children's mathematics, executive functioning, and visual–spatial skills during their transition from kindergarten to primary school. Participants were 172 Cantonese-speaking Hong Kong children (mean age at Time 1 = 62.75 months; 88 male) and their parents. At Time 1 (kindergarten K3), children were administered the measures of mathematics (calculation and applied problems), executive functioning (working memory and inhibitory control), and visual–spatial skills. They were reassessed on these measures at Time 2 (primary 1) 1 year later. Results from the cross-lagged panel model showed that, controlling for child age, gender, and family socioeconomic status, children's visual–spatial skills at Time 1 were significantly predictive of their mathematics at Time 2 and children's executive functioning and visual–spatial skills reciprocally predicted each other across times. However, children's mathematics at Time 1 were not predictive of their executive functioning or visual–spatial skills at Time 2. The findings highlight the desirability of improving children's executive functioning and visual–spatial skills to promote their mathematical performance during the formal school transition. Copyright © 2020 Elsevier Inc. All rights reserved.

Mathematical disagreements occur when students challenge each other’s ideas related to a mathematical concept. In this research, we examined Hong Kong and U.S. elementary teachers’ perceptions of mathematical disagreements and their resolutions using a video-stimulated survey. Participants were directed to give particular attention to the mathematics embedded within the disagreement and approaches for resolving the disagreement. Results revealed incomplete knowledge structures for the SELECTed mathematical topic for both Hong Kong and U.S. participants. Differences existed between the two groups regarding the resolution of the disagreement, as Hong Kong participants focused on the content within the resolution process while U.S. participants focused on the form of the resolution process. Both groups found value in mathematical disagreements but for different reasons. Hong Kong participants indicated that the mathematical disagreements supported them in identifying students’ misunderstandings. In contrast, U.S. participants reported that mathematical disagreements helped to identify areas in which students lacked prerequisite knowledge. Implications for future work are provided. Copyright © 2016 International Journal of Education in Mathematics, Science and Technology.