The present research aims at exploring the effectiveness of spiral bianshi mathematics curriculum on the teaching of speed and circumference to Primary 6 students in Hong Kong. Cognitive and affective learning outcomes, together with students’ beliefs are investigated. Teaching materials of these two topics are designed basing on the framework of spiral bianshi mathematics curriculum and were implemented in three primary schools in Hong Kong. The effectiveness of the curriculum was investigated with a pre-test/post-test, experimental/control group design. Preliminary analyses of the cognitive learning outcomes revealed that the students using the bianshi curriculum and teaching materials performed better than their counterparts. The experimental group also showed more positive attitude in some of the affective variables, though such changes did not happen in all the affective components. The experimental group also showed more positive attitude in some of the affective components. Further statistical analyses could be performed to see why the improvement was not as prominent as expected. A possible further analysis could be, by separating those who had sizable improvement with those who had not, we may attempt to identify the characteristics of students, to see who benefit most (in the affective domain) from the bianshi curriculum. It is hoped that these qualitative data would help unveil the secret of the learning process that leads to the desirable learning results.
[Copyright © 2010 Anna Mei-Yan Chan, Ngai-Ying Wong & Chi-Chung Lam.]

Attention to details is one of the most important specific features of a mathematical way to thinking. When evaluating mathematical questions it is important to teach students to pay attention globally and locally, consider conditions, properties and relationships, since all of these aspects are as important to develop as mathematical techniques. To develop such skills in their students school teachers should have those skills themselves. In this study, we investigate the ability of school mathematics teachers to pay attention to details and use their mathematical knowledge. We are confident that the vast majority of teachers have excellent knowledge of mathematical techniques. Hence the question is whether this kind of knowledge might structure their attention in such a way that the emphasis on procedures deviates their attention from the essential details. Two groups of teachers from New Zealand and Hong Kong were given a mini-test containing seven simple mathematics questions. All questions in the test were provocative in the sense that they looked like routine questions but in fact they had some catch. The results from the test were startling – the vast majority of the teachers did not notice any catch and gave incorrect answers to most questions in the test. After the test the teachers were given a short questionnaire to reflect on their performance on the test. The teachers’ responses to the questionnaire are presented and analysed in the paper using theories on attention. Implementations of the results of the study in assessment and professional development are discussed.

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.]

在評估小組專題研習時，如何區分個別學生對作業所作的貢獻？本文將對這個過程中所產生的問題進行討論。朋輩評估是任何建議的評估形式所必備的要素，但是使用任何形式的 “加權因子”，都會違背了協作式分組活動的理念。本文描述一個將評估中的過程元素與成果元素分開的結構，同時提出一套適用於過程朋輩評估的通用準則。這個評估結構曾在香港大學向一群學生實施，並以問卷及深層訪問進行評鑑。本文討論這次評鑑的結果，特別指出使用評估準則時需要 “訂立基準”，文章也探討了這類評估所包含的 “內外有別” 的表現，提出這是一個很重要的文化因素，並會引發許多問題。
[Copyright © 2003 香港公開大學出版社.]

Mathematics is widely perceived as an abstract academic subject to teach or to learn. However, Information Technology can be used as a means to help explain or understand the abstract mathematical ideas in a variety of topics of mathematics. Undoubtedly, it can enhance students' understanding of the concepts concerned and hence improve the quality of teaching and learning. This paper reports the design and implementation of a Chinese-interfaced multimedia courseware for teaching Mensuration, Set Theory, Geometry and Probability in the Hong Kong Institute of Education. This courseware provides an interactive, flexible, user-friendly environment where instructors and pre-service student teachers can use it for teaching or self-learning a variety of topics in the aforementioned areas of mathematics. The difficulties encountered in out design and implementation will be discussed. In addition, the evaluation of evaluation of feedback from student teachers and some expert users on using the trial version of our courseware will be included. We hope our findings will prove useful to other instructors who are interested in developing interactive mathematics courseware in their own institutions.

This paper analyzes the aims of Hong Kong primary mathematics curricula in years 1973, 1983, 1995 and 2001(Proposed). The aims, goals, objectives and assumptions of primary mathematics curricula are studied using George J. Posner's framework. A comparison of progressive educational aims is also made. Literature search on relevant documents of curriculum changes and personal interviews were also conducted. The implications of this research for mathematics education are also discussed. The findings of this study would be valuable to curriculum planners, mathematics educators and primary school teachers in Hong Kong.
[Copyright © 2000 The Hong Kong Institute of Education.]

This paper attempts to analyze the organization of the primary mathematics curriculum in Hong Kong. We follow the guidelines of Posner (1995) by answering five questions he posed on curriculum organization. The macro-level, micro-level, media employed, organization principles, and relative status of subject matter of the curriculum are discussed.
[Copyright © 2000 The Hong Kong Institute of Education.]