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Creativity, one of the cornerstones of students' 21st-century skills, is regarded as an important learning outcome of science, technology, engineering, arts, and mathematics (STEAM) education. Meanwhile, problem-based digital making (DM), which combines the child-friendly programming activities of DM with problem-solving elements, is an emerging instructional design to facilitate STEAM learning. This qualitative case study examines the implementation of a problem-based DM instructional program that used the block-based programming tool Scratch to cultivate the participants' creativity. Fifty-four middle school students (aged 10–14 years) in Hong Kong participated in the program, which totaled 10 contact hours over five consecutive weeks. Through triangulating students' DM artifacts, video recordings, field notes, and interviews, the researchers characterized the students' creative expression, examined the role of problem-based DM in encouraging creative work, and investigated the use of Scratch for mediating student creativity. The results showed that problem-based DM activities fostered students' creative expressions in the dimensions of novelty, utility, aesthetics, and authenticity. While Scratch mediated the way the students presented their solutions, it had limitations that hindered the students' digital artifact construction. The findings provide theoretical insights for framing creativity and offer practical implications for the implementation of problem-based DM in K–12 contexts. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

This study examines how teachers' discourse moves influence patterns of authority in the mathematics classroom. We identify changes in authority structure in one classroom taught by a primary mathematics teacher in Hong Kong. This teacher participant was one of 32 who participated in a larger teacher-intervention study that aimed to help teachers orchestrate dialogic classroom discourse for rich learning opportunities in mathematics. Previous research has investigated teachers' discourse behaviors and authority structures in mathematics classrooms, but the connection between the two has yet to be addressed in extant studies. Our analysis shows that certain features and patterns embedded in classroom discourse can constrain or enable certain kinds of authority in the classroom. This study contributes to understanding the ways in which dialogic discourse may influence how authority is structured, including how mathematics teaching and learning are enacted through authority styles, and how the discipline of mathematics is positioned from an authority perspective. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]