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McGalliard, William A.; Wilson, P. Holt – Investigations in Mathematics Learning, 2017
This mixed methods study investigated undergraduate elementary grades pre-service teachers' (PSTs) mathematical reasoning. In the context of combinatorics, we examined two aspects of mathematical reasoning, namely, the processes of enumerating and generalizing, and sought to understand the relationship between them through analyses of 150 PSTs'…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematical Logic, Mathematical Concepts
Bostic, Jonathan D.; Pape, Stephen J.; Jacobbe, Tim – Investigations in Mathematics Learning, 2016
This teaching experiment provided students with continuous engagement in a problem-solving based instructional approach during one mathematics unit. Three sections of sixth-grade mathematics were sampled from a school in Florida, U.S.A. and one section was randomly assigned to experience teaching through problem solving. Students' problem-solving…
Descriptors: Educational Experiments, Grade 6, Mathematics, Mathematics Instruction