Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside's approach to partial fraction decomposition was introduced and developed by the author. An important feature of this approach is that there is no need to solve a system of linear equations or to use differentiations to find the unknown coefficients of the partial fractions. In order to study its potential application in mathematics education at the undergraduate level, a pilot study of tryout at the Hong Kong Institute of Education has been conducted. The data are collected via quizzes, questionnaires and face-to-face interviews. In this article, the results and implications will be discussed. In general, according to the responses and feedbacks from the instructors and students concerned, the improved Heaviside approach is suitable to be introduced at the undergraduate level, as an alternative to the method of undetermined coefficients described in common undergraduate mathematics textbooks.
[Copyright of International Journal of Mathematical Education in Science and Technology is the property of Taylor & Francis. Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/0020739X.2012.662292]

In this paper, we introduce a new approach to compute the partial fraction decompositions of rational functions and describe the results of its trials at three secondary schools in Hong Kong. The data were collected via quizzes, questionnaire and interviews. In general, according to the responses from the teachers and students concerned, this new approach has potential to be introduced at the senior secondary level, as an alternative to the method of undetermined coefficients described in common secondary mathematics textbooks. Some remarks on the related pedagogical issues are included.
[Copyright of International Journal for Mathematics Teaching and Learning is the property of University of Exeter / Centre for Innovation in Mathematics Teaching.
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This study investigates how genre can be used as an organisational principle to interweave teaching and assessment in the L2 school context. Relying on data from interviews and lesson observations gathered from two Secondary 1 (that is, Grade 7) Hong Kong classrooms, the study sought to discover how teachers implemented genre-based teaching and assessment in traditional product- and exam-oriented writing classrooms, students' and teachers' evaluation of the approach, as well as the factors that might facilitate or restrain the genre innovation. The findings show that teachers worked collaboratively and shared a common vision in implementing genre-based teaching and assessment, making sure that they integrated teaching and assessment through a focus on genre. Although the limitations of the genre approach were noted, the innovation was generally well received by students and teachers, who felt that the innovation had enabled students to improve their writing and helped teachers enhance their practice. A few facilitative and inhibitory factors are discussed. The findings suggest that the implementation of genre-based teaching and assessment has to be considered within the ecology of teachers' work.
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Lynch and Purnawarman (2004:50) point out that "a solid electronic portfolio can show reflection, evolution of thought and overall professional development". Research shows that electronic portfolio assessment, if implemented thoughtfully, can successfully engage learners in critical thinking and problem solving, promote lifelong education, encourage self evaluation and allow learners to have a higher degree of control over the learning process (Pierson and Kumari, 2000; Mason, Pegler, and Weller, 2004). Given the value of electronic portfolios, there has been growing interest in using electronic portfolio assessment to support teacher education (Lynch and Purnawarman, 2004). In this paper, we discuss on-going efforts at the University of Hong Kong to design assessment tasks for a language awareness course entitled "Pedagogical Content Knowledge". The final-year student teachers taking the course are required to compile an electronic portfolio based on their reflections on the relevance and applicability of the issues relating to dealing with the content of learning in pedagogical practice discussed in the course. This paper sets out to describe and analyze issues relating to the design and implementation of the assessment, focusing specifically on the challenges that the research team faces. In our paper, we draw on a range of data, including student teachers' feedback on the assessment and in-depth reflections of two student teachers after the assessment to critically evaluate the extent to which the assessment has achieved the intended learning outcomes. The reflective study shows that apart from technical support, methodological and psychological preparation designed to help students to take on a more active role in the learning and assessment process are also needed to help students to perform effectively in the computer-supported assessment. Implications are drawn for those who plan to conduct electronic portfolio assessment in higher education.
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This article reports on the personal beliefs and attitudes of highly motivated Hong Kong school-age subjects who studied music. A total of 24 participants who demonstrated high achievement and interest in learning music were interviewed. Content analysis of the interview data was performed to elucidate four topics: background information about the music learning of participants, their feelings about learning music, their perceptions of parental expectations of the learning of different subjects, and music learning in schools. A detailed analysis was conducted to understand the views of participants on attainment value, task value, task difficulty and intrinsic motivation. Based on the results, a theoretical framework was derived that includes three developmental stages: (1) initial motivation, (2) short-term involvement and the learning process and (3) long-term involvement and ongoing commitment. The study contributes to the understanding of the developmental trajectory of these Asian participants by detailing intrinsic and extrinsic factors that impacted on their musical development.
[Copyright of Music Education Research is the property of Routledge. Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/14613808.2011.553278 ]