Transcription of Key understandings in mathematics learning
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Key understandings in mathematics learning
Key understandings inmathematics learningA review commissioned by the Nuffield Foundation6 Paper 6: Algebraic reasoningBy Anne Watson, University of Oxford 2 SUMMARY PAPER 2: Understanding whole numbers2 Paper 6: Algebraic reasoningIn 2007, the Nuffield Foundation commissioned ateam from the University of Oxford to review theavailable research literature on how children learnmathematics. The resulting review is presented in aseries of eight papers:Paper 1: OverviewPaper 2: Understanding extensive quantities andwhole numbersPaper 3: Understanding rational numbers andintensive quantitiesPaper 4: Understanding relations and their graphicalrepresentationPaper 5: Understanding space and its representationin mathematicsPaper 6: Algebraic reasoningPaper 7: Modelling, problem-solving and integratingconceptsPaper 8: Methodological appendixPapers 2 to 5 focus mainly on mathematics relevantto primary schools (pupils to age 11 years), whilepapers 6 and 7 consider aspects of mathematics in secondary 1 includes a summary of the review, wh
Misapplying arithmetical meanings to algebraic expressions Analysis of children’s algebra in clinical studies with 12- to 13-year-olds found that the main problems in
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