This commentary aims to discuss an overarching boundary crossing framework under which integrated STEM (Science, Technology, Engineering, Mathematics) pedagogy can be conceptualized. Four potential learning dialogical processes for boundary crossing are presented and used as the main theoretical construct for the discussion. A proposal of an interactive pedagogical framework is put forward accompanied by a provisional statement to relate the connective factors that are critical in the formation of a boundary crossing STEM pedagogy. These factors are situated learning, communities of practices, problem solving, learning dialogical processes, and boundary objects. A Hong Kong school STEM case is employed to illustrate the applicability of this framework. The commentary ends with a reflective remark on boundary crossing STEM pedagogy. Copyright ©SpringerOpen.

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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