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Direct linkLannin, John K.; Barker, David D.; Townsend, Brian E. – Educational Studies in Mathematics, 2007
In this study we examined how two students viewed the general nature of their proportional reasoning errors as they attempted to generalize numeric situations. Using a teaching experiment methodology we studied the reasoning of two students over 18 instructional sessions. One student, Dallas, appeared to recognize that the proportional reasoning…
Descriptors: Mathematical Concepts, Error Patterns, Mathematics Instruction, Mathematical Logic
Townsend, Brian E.; Lannin, John K.; Barker, David D. – Mathematics Teaching in the Middle School, 2009
The NCTM calls for the use of rich tasks that encourage students to apply their own reasoning to problem situations. When students work through algebraic generalization tasks, their reasoning often elicits a variety of strategies (Lannin 2003; Stacey 1989; Swafford and Langrall 2000). Challenges for teachers include facilitating student awareness…
Descriptors: Mathematical Logic, Problem Solving, Mathematics Instruction, Algebra
