C Kieran - ZDM–Mathematics Education, 2022 - Springer
Early algebraic thinking is the reasoning engaged in by 5-to 12-year-olds as they build meaning for the objects and ways of thinking to be encountered within the later study of …
JJ Kaput - Algebra in the early grades, 2017 - taylorfrancis.com
This chapter provides a shared road map of algebra in the elementary grades and an historical perspective on why the authors might need such a road map. Recognizing the …
M Blanton, A Stephens, E Knuth… - Journal for research in …, 2015 - pubs.nctm.org
This article reports results from a study investigating the impact of a sustained, comprehensive early algebra intervention in third grade. Participants included 106 students; …
C Kieran, JS Pang, D Schifter, SF Ng - 2016 - library.oapen.org
This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student …
ERIC - ED439154 - Cognitive Psychology and Instruction. Third Edition., 1999 NotesFAQContact Us ERIC - Institute of Education Sciences Collection Thesaurus Advanced Search Tips Peer …
Proposing social constructivism as a novel philosophy of mathematics, this book is inspired by current work in sociology of knowledge and social studies of science. It extends the ideas …
A Sfard, L Linchevski - Educational studies in mathematics, 1994 - Springer
Algebraic symbols do not speak for themselves. What one actually sees in them depends on the requirements of the problem to which they are applied. Not less important, it depends on …
C Kieran - The mathematics educator, 2004 - researchgate.net
This reaction paper is written from the perspective of a researcher whose work in the learning of algebra has primarily been with 12-to 16-year-olds. To provide some context for …
A proof is a connected sequence of assertions that includes a set of accepted statements, forms of reasoning and modes of representing arguments. Assuming reasoning to be central …