Word problems in mathematics education: A survey

L Verschaffel, S Schukajlow, J Star, W Van Dooren - Zdm, 2020 - Springer
Word problems are among the most difficult kinds of problems that mathematics learners
encounter. Perhaps as a result, they have been the object of a tremendous amount research …

The multi-dimensionality of early algebraic thinking: background, overarching dimensions, and new directions

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 …

1 What Is Algebra? What Is Algebraic Reasoning?

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 …

The development of children's algebraic thinking: The impact of a comprehensive early algebra intervention in third grade

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; …

[图书][B] Early algebra: Research into its nature, its learning, its teaching

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 …

[图书][B] Cognitive psychology and instruction

RH Bruning, GJ Schraw, RR Ronning - 1999 - ERIC
ERIC - ED439154 - Cognitive Psychology and Instruction. Third Edition., 1999 NotesFAQContact
Us ERIC - Institute of Education Sciences Collection Thesaurus Advanced Search Tips Peer …

[图书][B] Social constructivism as a philosophy of mathematics

P Ernest - 1998 - books.google.com
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 …

The gains and the pitfalls of reification—the case of algebra

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 …

[PDF][PDF] Algebraic thinking in the early grades: What is it

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 …

Enhancing students' mathematical reasoning in the classroom: teacher actions facilitating generalization and justification

J Mata-Pereira, JP da Ponte - Educational Studies in Mathematics, 2017 - Springer
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 …