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Proportional reasoning: an elusive connector of school mathematics curriculum
Conference paper   Peer reviewed

Proportional reasoning: an elusive connector of school mathematics curriculum

Shelley Dole, A Hilton, G Hilton and M Goos
Proceedings of the 23rd ICMI Study, pp.534-541
International Commission on Mathematic Instruction (ICMI) Study: Primary Mathematics Study on Whole Numbers, 23rd (Macau, China, 03-Jun-2015–07-Jun-2015)
International Commission on Mathematical Instruction
2015

Abstract

Curriculum and Pedagogy curriculum analysis multiplicative thinking proportional reasoning
Proportional reasoning is widely acknowledged as a key to success in school mathematics, yet students' continual difficulties with proportion-related tasks are well documented. This paper draws on a large research study that aimed to support 4th to 9th grade teachers to design and implement tasks to foster students' proportional reasoning. Classroom data revealed limited initial teacher knowledge and awareness of the pervasive nature of proportional reasoning required in the mathematics curriculum. Teacher capacity to seize teachable moments for building students' proportional reasoning skills increased throughout the project. From this background, this paper presents an analysis of the proportional reasoning demands and opportunities of topics within the school mathematics curriculum in Australia. Implications for the study of whole number arithmetic (WNA) and other topics to promote proportional reasoning throughout the curriculum are discussed.

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