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Doerr, Helen M.; English, Lyn D. – Journal for Research in Mathematics Education, 2003
Discusses the nature of tasks used to elicit the development of such systems by middle school students. Analyzes mathematical reasoning development of students across tasks and the diversity of thinking patterns identified on problem tasks. Discusses student reasoning about the relationships between and among quantities and their application in…
Descriptors: Cognitive Development, Concept Formation, Data Analysis, Mathematical Models
English, Lyn D.; Doerr, Helen M. – International Group for the Psychology of Mathematics Education, 2003
Traditional word problems have not fulfilled the goal of mathematical sense-making for many students. Some studies have shown that authentic contexts, such as model-eliciting tasks, have the potential to engage students in making sense of realistic situations. However, there has been little research on the kinds of knowledge needed by teachers to…
Descriptors: Data Analysis, Word Problems (Mathematics), Teaching Methods, Mathematics Instruction