Chinese pre-school children perform well in learning mathematics compared with English-speaking children. This study investigates the scenes behind Chinese pre-school Children's mathematics performance using teacher questionnaires and interviews. Results indicated that the Chinese number system appeared to afford advantages to Chinese children in learning individual mathematics concepts but this was not enough to explain why children perform well in other areas. Frequent practice and exposure to mathematics in pre-schools, together with parental support at home might explain why children performed well in mathematics learning. Study results also revealed that although the underpinning philosophy of pre-school curriculum planning in Hong Kong might be similar to some pre-schools in other parts of the world, such as the adoption of integrated curriculum and unstructured play, contradictory practice might also be incorporated. Mathematics teaching in Hong Kong pre-schools mirrors the Chinese cultural aspiration towards learning, and both teachers and parents play an active role in pursuing academic success for each child.
[Copyright © University of Exeter. Centre for Innovation in Mathematics Teaching].

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.
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