Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction

@article{citeulike:415479, abstract = {In university mathematics courses, the activity of proof construction can be viewed as a problem-solving task in which the prover is asked to form a logical justification demonstrating that a given statement must be true. The purposes of this paper are to describe some of the different types of reasoning and problem-solving processes used by undergraduates to construct proofs in their university mathematics courses, and to consider the relationship between the reasoning that students use when constructing a proof and what they have the opportunity to learn from their proving experience.}, author = {Weber, Keith }, citeulike-article-id = {415479}, doi = {10.1016/j.jmathb.2005.09.005}, journal = {The Journal of Mathematical Behavior}, keywords = {mathematics, problem, proof, solving}, number = {3-4}, pages = {351--360}, posted-at = {2005-11-30 16:50:59}, priority = {2}, title = {Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction}, url = {http://dx.doi.org/10.1016/j.jmathb.2005.09.005}, volume = {24}, year = {2005} }

TY - JOUR ID - citeulike:415479 L3 - citeulike-article-id:415479 TI - Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction JF - The Journal of Mathematical Behavior VL - 24 IS - 3-4 SP - 351 EP - 360 N2 - In university mathematics courses, the activity of proof construction can be viewed as a problem-solving task in which the prover is asked to form a logical justification demonstrating that a given statement must be true. The purposes of this paper are to describe some of the different types of reasoning and problem-solving processes used by undergraduates to construct proofs in their university mathematics courses, and to consider the relationship between the reasoning that students use when constructing a proof and what they have the opportunity to learn from their proving experience. KW - mathematics KW - problem KW - proof KW - solving AU - Weber, Keith PY - 2005/// UR - http://dx.doi.org/10.1016/j.jmathb.2005.09.005 ER -