%0 Conference Paper %1 RefWorks:13 %A Davis, Gary E. %A Mcgowen, Mercedes A. %B proceedings of the Annual Meeting of the 26th Annual Meeting of the International Group for the Psychology of Mathematics Education (PME) %C Norwich, UK %D 2002 %I University of Norwich %K algebra csa-search education functions higher instruction mathematics remedial representation representations skills thinking %P 273-280 %T Function Machines & Flexible Algebraic Thought %V 2 %X This paper explores how college students understand ideas of functions, and which representations are productive for them in promoting their ability to work flexibly across representations. The study used pre- and post-test scores, and triangulations via student self evaluations, to generate a hypothesis related to flexible thinking and success in algebra. It used confidence intervals to provide evidence for a highly significant change in student flexibility in algebraic thinking, and to assist in generating a plausible model of how the use of function machines in a developmental algebra course is instrumental in stimulating that flexibility. (Contains 19 references.) (Author/MM)

@inproceedings{RefWorks:13, abstract = {This paper explores how college students understand ideas of functions, and which representations are productive for them in promoting their ability to work flexibly across representations. The study used pre- and post-test scores, and triangulations via student self evaluations, to generate a hypothesis related to flexible thinking and success in algebra. It used confidence intervals to provide evidence for a highly significant change in student flexibility in algebraic thinking, and to assist in generating a plausible model of how the use of function machines in a developmental algebra course is instrumental in stimulating that flexibility. (Contains 19 references.) (Author/MM)}, added-at = {2010-07-26T19:19:21.000+0200}, address = {Norwich, UK}, author = {Davis, Gary E. and Mcgowen, Mercedes A.}, biburl = {https://www.bibsonomy.org/bibtex/2a06c85c4b1fd76cc68905da4b99d0e42/yish}, booktitle = {proceedings of the Annual Meeting of the 26th Annual Meeting of the International Group for the Psychology of Mathematics Education (PME)}, interhash = {d3ea3ef090943bd6e48852a083c26736}, intrahash = {a06c85c4b1fd76cc68905da4b99d0e42}, keywords = {algebra csa-search education functions higher instruction mathematics remedial representation representations skills thinking}, month = {July}, pages = {273-280}, publisher = {University of Norwich}, timestamp = {2010-07-26T19:19:21.000+0200}, title = {Function Machines & Flexible Algebraic Thought}, volume = 2, year = 2002 }