This study arose from a desire to investigate initial teacher education for primary school mathematics teachers in Hong Kong. A conceptual framework for analyzing pre-service teachers’ mathematical knowledge and beliefs informed this qualitative investigation. The purpose of the study was to scrutinize both the cognitive and affective domains in mathematics teaching of pre-service primary teachers within the analytical framework. This paper seeks to capture three cases of Hong Kong pre-service primary teachers holding different views about mathematics teaching and learning as revealed by a beliefs survey. Their mathematical knowledge was examined along with a questionnaire, individual interviews, and an analysis of the lesson plans they provided. Through triangulation, it was found that these pre-service teachers’ beliefs about mathematics teaching and learning correspond to their pedagogical content knowledge to some extent. The results of lesson plan analysis were mostly consistent with those in the questionnaire and interviews although some of the interview data were inconsistent with the questionnaire results. Such inconsistency seemed to suggest that pre-service teachers’ reform-oriented mathematical beliefs were impacted by some traditional values such as Confucianism. Implications are discussed regarding the relationship between knowledge and beliefs in mathematics education as well as the theory of teacher competencies. © 2023 by the author.

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.