%0 Book Section %1 thompson03 %A Thompson, Patrick W. %A Saldanha, Luis A. %B Research companion to the Principles and Standards for School Mathematics %C Reston, VA %D 2003 %E Kilpatrick, J. %E Martin, G. %E Schifter, D. %I National Council of Teachers of Mathematics %K fractions learning mathematics multiplication mythesis %P 95-114 %T Fractions and multiplicative reasoning %U http://pat-thompson.net/PDFversions/2004FracsMultRsng.pdf %X In this chapter we begin with a relatively simple observation and follow its implications to end with an analysis of what it means to understand fractions well. In doing this, we touch upon related issues of curriculum, instruction, and convention that sometimes impede effective teaching and learning. We make these connections with the aim of bringing out aspects of knowing fractions that are important for considering the design of fraction curricula and instruction over short and long terms. We hope readers see our attempt to clarify learning goals for fractions as a helpful contribution of research to improving mathematics curricula and teaching.

@incollection{thompson03, abstract = {In this chapter we begin with a relatively simple observation and follow its implications to end with an analysis of what it means to understand fractions well. In doing this, we touch upon related issues of curriculum, instruction, and convention that sometimes impede effective teaching and learning. We make these connections with the aim of bringing out aspects of knowing fractions that are important for considering the design of fraction curricula and instruction over short and long terms. We hope readers see our attempt to clarify learning goals for fractions as a helpful contribution of research to improving mathematics curricula and teaching.}, added-at = {2008-05-30T05:31:41.000+0200}, address = {Reston, VA}, author = {Thompson, Patrick W. and Saldanha, Luis A.}, biburl = {https://www.bibsonomy.org/bibtex/2fa945d7fe812cd913f50208479332170/yish}, booktitle = {Research companion to the Principles and Standards for School Mathematics}, editor = {Kilpatrick, J. and Martin, G. and Schifter, D.}, interhash = {721ec82c40fa9ab5fbfeb07902fdf64b}, intrahash = {fa945d7fe812cd913f50208479332170}, keywords = {fractions learning mathematics multiplication mythesis}, pages = {95-114}, publisher = {National Council of Teachers of Mathematics}, timestamp = {2008-05-30T05:31:43.000+0200}, title = {Fractions and multiplicative reasoning}, url = {http://pat-thompson.net/PDFversions/2004FracsMultRsng.pdf}, year = 2003 }