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Direct linkMoore, Tamara J.; Doerr, Helen M.; Glancy, Aran W.; Ntow, Forster D. – Mathematics Teaching in the Middle School, 2015
Getting students to think deeply about mathematical concepts is not an easy job, which is why we often use problem-solving tasks to engage students in higher-level mathematical thinking. Mathematical modeling, one of the mathematical practices found in the Common Core State Standards for Mathematics (CCSSM), is a type of problem solving that can…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Mathematical Concepts
Peer reviewedDoerr, Helen M.; Tripp, Joseph S. – Mathematical Thinking and Learning, 1999
Discusses findings from a research study designed to characterize students' development of significant mathematical models by examining the shifts in their thinking that occur during problem investigations. Reveals four sources of mismatches that were significant in bringing about the occurrence of shifts in students' thinking. (Contains 16…
Descriptors: Cognitive Processes, Elementary Secondary Education, Mathematical Models, Mathematics Education
Peer reviewedDoerr, 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
