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Nuffield Foundation
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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
Key Understandings in Mathematics Learning
These resources are provided by the Nuffield Foundation who, in 2007, commissioned a team from the University of Oxford to review the available research literature on how children learn mathematics. The resulting review is presented in a series of eight papers.
Paper 1 Overview - summarises findings from detailed analysis of a large amount of research. The team sought to make it possible for educators and policy makers to take a fresh look at mathematics teaching and learning by using the results of research on key understandings.
Paper 2: Understanding extensive quantities and whole numbers - explains why it is crucial for student’s success in learning mathematics, to establish clear connections between numbers, quantities and relations.
Paper 3: Understanding rational numbers and intensive quantities - as with whole numbers, students need to make connections between quantities and their representations in fractions, to be able to use fractions meaningfully.
Paper 4: Understanding relations and their graphical representation - explores the reasons why many students do not distinguish clearly between quantities and relations when they use numbers and examines research that explains how students can become more successful in choosing the appropriate model to answer a question.
Paper 5: Understanding space and its representation in mathematics - discusses student's informal knowledge of space and spatial relations and their formal introduction to geometry.
Paper 6: Algebraic reasoning - reviews how students learn algebra, what they can do and how their generalising and use of symbols develop.
Paper 7: Modelling, problem-solving and integrating concepts - uses both pure and applied aspects of learning mathematics at secondary level, to devise some common implications and overall recommendations for practice.
Paper 8: Methodological appendix - defines inclusion and exclusion criteria used for research purposes and provides information of journals and studies used for reference.
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