We presented a design-based study within the context of a four-session Scratch programming activity among 23 fourth-grade students in Hong Kong. Inspired by the computational thinking (CT) strategies and the 5E instructional model, we investigated students’ mathematical learning of fractions in a Scratch (block-based programming) environment. Students developed CT concepts, practices, and perspectives by building a “fraction magic calculator” in groups. This study analyzed the lesson design, students’ drawings, interviews, and work expressing their mathematical understanding of fractions in Scratch applications. The learning tasks were designed to support the students’ fraction learning and utilized computational abstractions in the form of variables, functions, and iterations to formulate mathematical models in a programming context. Students’ artifacts and feedback showed they were interested in learning fractions in a programming learning context, contributing to exercising and improving their fraction concepts and CT. Ultimately, we emphasized the benefits of CT integrated into mathematics education, promoting students’ understanding of fraction concepts, a set of CT abilities (concepts, practices, perspectives), and learning motivation. Moreover, we suggested a set of non-cognitive skills (e.g., socializing, expressing) to enrich the CT perspectives in the framework and show the importance of developing coding communities to co-create digital artifacts among learners. Overall, we highlighted that mathematics teachers should apply and create learning tasks that promote computational thinking to forge mathematical ideas and thinking. Copyright © 2023 The Author(s).

Given the relationship between teacher beliefs and practices, it is critical to understand how pre-service teachers' past school experiences impact on their beliefs about teaching. There is a growing recognition of the influence of preservice teachers' prior mathematical experiences on their beliefs regarding mathematics instruction in the primary school classroom. This qualitative study aimed to investigate Hong Kong primary pre-service teachers' past experiences in learning mathematics and their beliefs about the teaching of mathematics. Nineteen primary pre-service teachers who had selected mathematics as their major in a teacher training program participated in the study. Each participant was required to complete three beliefs tasks in the individual interview in order to recall the teaching of their best mathematics teachers, articulate their memories of learning mathematics, and uncover the kind of primary mathematics teacher they planned to be. The results provided a valuable insight into the effects of pre-service teachers' prior mathematics class incidents on their espoused pedagogical beliefs. While both positive and negative learning experiences of mathematics had a positive impact on interviewees' beliefs about mathematics teaching, most demonstrated their willingness to learn from the past and realised the need to establish better learning environments for their future primary school students. Copyright © 2021 International Journal of Instruction.

This study examined pre-service primary teachers' (PSPTs) mathematics performance on a set of question items measuring at the sixth grade level in Hong Kong. These items covered the five learning strands of the local primary mathematics curriculum – number, algebra, measures, shape and space, and data handling. The participants of the study were 152 PSPTs who had chosen mathematics as a major in an undergraduate teacher education program. Their strengths and weaknesses in particular mathematics topics were identified. Across all four years of the teacher education program, only 6% of the participants were able to provide fully correct mathematical responses to all five items. Further, it is surprising that merely 14% of graduating cohorts achieved a full mark for the mathematical word problem that required them to show their working steps. These findings suggest that issues relating to the preparation of mathematics specialists should be further considered in primary mathematics education. Copyright ©Routledge.