實行校本評核是香港新高中學制改革的重要一環。雖然數學科校本評核的時間表至今還未落實，但已有不少本地研究結果顯示，數學科教師對校本評核的擬題及建議評核模式甚感徬徨和憂慮，亦懷疑其成效及公平性。在推行數學校本評核方面，英國和澳洲均有豐富經驗。香港建議的評估模式與英國曾使用的方式相近，而澳洲昆士蘭州的校本評核則建基於校本課程的推行，甚具特色。本文將透過分析英國 GCSE 數學科的學科作業和澳洲昆士蘭州校本評核的經驗得失，探討香港數學科校本評核未來的發展方向，以期為有關當局構想的校本評核模式提供改進建議。
[Copyright © 香港中文大學，2012.]

This study investigates the relationship between subject matter knowledge (SMK) for mathematics teaching and self-reported non-cognitive factors among 201 prospective mathematics teachers (PMTs) in Hong Kong. Participants completed a survey adopted from Fennema and Sherman [19] were assessed their confidence in learning mathematics (CLM), attitude towards success in mathematics (ASM), mathematics anxiety (MA), effectance motivation in learning mathematics (EMM), while 73 of them were assessed in a written test on their knowledge. The regression analysis suggests that CLM is the main predictor of the performance in SMK compared to MA and EMM. Findings also show that there were statistically significant effects of both gender and program of studies on their performance on MA, EMM and CLM. The results suggest a further investigation of the relationship between beliefs and SMK among PMTs in other contexts. Implications for the current teacher education system in Hong Kong are also discussed.
[Copyright © 2015 Pushpa Publishing House.]

This study examines the differences and similarities of mathematics teachers’ subject matter knowledge among England, the Chinese mainland and Hong Kong. Data were collected from a ten-item test in the SKIMA subject matter audit instrument [Rowland, T.; Martyn, S.; Barber, P. & Heal, C. (2000). Primary teacher trainees’ mathematics subject knowledge and classroom performance. In: T. Rowland & C. Morgan (eds.), Research in Mathematics Education, Volume 2 (pp. 3–18). ME 2000e.03066] from over 500 participants. Results showed that participants from England performed consistently better, with those from Hong Kong being next and then followed by those from the Chinese mainland. The qualitative data revealed that participants from Hong Kong and the Chinese mainland were fluent in applying routines to solve problems, but had some difficulties in offering explanations or justifications.
[Copyright © 2010 Korean Society of Mathematical Education.]

Empirical Research Background: This study investigates the performance of Hong Kong pre-school children aged from 3 to 5 in the area of number and addition. This is the first stage data reporting. Empirical Research Aims: It aims to establish a scale on number and addition competency for young children aged from 3 to 6, and to validate the number and addition competency of children in relation with the literature and the official curriculum guide. Empirical Research Sample: Ten children aged 3, 4, and 5 were sampled from 10 pre-schools in Hong Kong, with a total of 300 children. Empirical Research Method: Measurement scale and behavioural checklist on number and addition concepts were established for teachers. Empirical Research RASCH: Quantitative data analysis derived from the Rasch model for measurement for dichotomous data were used. Empirical Research Results: The Wright Map showed a general progression of the position of items along the measurement continuum and a gradual increase in the mean difficulty at each of the age levels from 3-year-olds to 5-year-olds. Irregularities showed that children master some concepts earlier than expected. Misfit items showed that there is an absence of curriculum among schools, or among levels. Empirical Research Conclusions: Abilities of children increase in accordance with age, and children master some concepts earlier. There are unlikely a share curriculum among schools.

Curriculum initiatives in both primary and secondary mathematics are nderway in Hong Kong. New visions of learning and teaching expected to be found in the new curricula would make new demands on teachers: to help students to investigate, to explore, to discover mathematics, to solve mathematical problems, to learn and to appreciate mathematical structures, to enjoy mathematics, and to prepare themselves for a rapidly changing technological world. Are the teachers of mathematics sufficiently prepared for the new curriculum ? Because teaching and learning is so complex, there can be many factors which influence students' achievement and attitude in mathematics. However, it cannot be denied that a teacher's classroom practices and his/her abilities in implementing the curriculum could be one of the many factors affecting students' chance of acquiring the relevant knowledge, skills and attitude. To enable an informed planning of the Refresher Training Course (Secondary) (RTC(S)) with particular reference to the teaching methodologies part offered to course participants taking mathematics as an elective, the general and specific teaching strategies acquired by some of the inservice teachers of secondary mathematics were studied. A questionnaire of two parts was constructed. The first part was intended to elicit the general practices by teachers, and the second part teacher activities relating to the specific strategies in the teaching of mathematical skills, concepts and principles. An unstructured group interview was conducted after each part of the questionnaire was completed, results collected, processed, and distributed. The first part of the questionnaire consists of open ended questions.The teachers were asked to state the most and least frequently used teaching strategies during their last two weeks of mathematics teaching. Only three teachers claimed to use the discovery teaching often and the rest teachers simply used exposition as the only means in order to cover