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Research papers

Rational number and proportional reasoning in early secondary school: towards principled improvement in mathematics

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Pages 38-56 | Published online: 01 Apr 2015
 

Abstract

Reflecting concerns about student attainment and participation in mathematics and science, the Effecting Principled Improvement in STEM Education (epiSTEMe) project attempted to support pedagogical advancement in these two disciplines. Using principles identified as effective in the research literature (and combining these in a novel fashion), the project developed topic modules for early secondary-school teaching in the UK, arranged for their implementation in classrooms, and evaluated the results. This article reports the development, implementation and evaluation of the epiSTEMe mathematics module entitled Fractions, Ratios and Proportions. The module covers aspects of rational number and proportional reasoning relevant to the early secondary curriculum, and was developed in collaboration with teachers, implemented in 11 classrooms, and evaluated through comparison with 16 control classrooms where the topic was addressed using established methods. Students who used the epiSTEMe materials made significantly greater progress than control students as regards topic mastery, while holding positive opinions about their teaching and learning experiences.

Notes

1. At the time of the study, around 80% of students achieved at least this level. Thus, while lower achieving students (and lower ability sets) will have been excluded, a wide spectrum will have been sampled with no constraints at the upper end.

2. In England, CVA2-4 is one of several nationwide and standardised indices of efficacy. It measures student progress, taking account of factors outside the school's control that affect performance, e.g. family circumstances.

3. Reported factor analyses are principal components with varimax rotation and Kaiser normalisation.

Additional information

Funding

This work was supported by the Economic and Social Research Council of Great Britain [grant number RES-179-25-0003].

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