%0 Book Section %1 Steffe88 %A Steffe, Leslie P. %B Number Concepts and Operations in the Middle Grades %C Reston, Virginia %D 1988 %E Heibert, James %E Behr, Merlyn %I Lawrence Erlbaum Associates %K conceptual constructivism ijtme2006 metaphor multiplication mythesis sequences %P 119--140 %T Children's Construction of Number Sequences and Multiplying Schemes

@incollection{Steffe88, added-at = {2006-03-07T17:56:12.000+0100}, address = {Reston, Virginia}, author = {Steffe, Leslie P.}, biburl = {https://www.bibsonomy.org/bibtex/29596e30f9da9b1f541068d5e091607b0/yish}, booktitle = {Number Concepts and Operations in the Middle Grades}, citeulike-article-id = {532466}, comment = {"It should not be surprising that children construct the number sequence using their early counting schemes" 5 phases in the constuction: (see Olive) - Perceptual counting scheme: Identify relationship between fingers or visual patterns and number words. - Figurative counting scheme: Same, but can substitute imagined objects for real ones. [y.m.: primal form of conceptual metaphour?] - Initial number sequence: Sequence of number words - Tacitly nested number sequence - Explicitly nested number sequence Piagetian approach. Focus on assimilation and accomodation. "Functional accomodation: modification of a counting scheme as a result of reflective abstraction that occurs in the context of using it." - Procedural: modification of the activity of counting or a novel way of viewing the results of counting. - Engendering: occurs independently, involves using external elements.}, editor = {Heibert, James and Behr, Merlyn}, interhash = {5743ea8df433a03f17e6ef71d1401619}, intrahash = {9596e30f9da9b1f541068d5e091607b0}, keywords = {conceptual constructivism ijtme2006 metaphor multiplication mythesis sequences}, pages = {119--140}, priority = {2}, publisher = {Lawrence Erlbaum Associates}, timestamp = {2008-04-27T02:52:04.000+0200}, title = {Children's Construction of Number Sequences and Multiplying Schemes}, year = 1988 }