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 …

Prerequisite algebra skills and associated misconceptions of middle grade students: A review

SB Bush, KS Karp - The Journal of Mathematical Behavior, 2013 - Elsevier
This article provides a comprehensive literature review related to prerequisite algebra skills
and associated misconceptions of middle grades students as a means to draw together …

[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 …

Early algebra is not the same as algebra early

DW Carraher, AD Schliemann… - Algebra in the early …, 2017 - taylorfrancis.com
This chapter discusses three distinguishing characteristics of early algebra, drawing on
examples from our longitudinal investigations of four classrooms in an ethnically diverse …

Learning to observe: Using video to improve preservice mathematics teachers' ability to notice

JR Star, SK Strickland - Journal of mathematics teacher education, 2008 - Springer
Video has assumed an increasingly prominent role in teacher education, particularly in the
form of the viewing of videotaped class lessons by preservice teachers. Yet there is little …

[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 …

Characterizing a classroom practice that promotes algebraic reasoning

ML Blanton, JJ Kaput - Journal for research in mathematics …, 2005 - pubs.nctm.org
We present here results of a case study examining the classroom practice of one thirdgrade
teacher as she participated in a long-term professional development project led by the …

Awareness of pattern and structure in early mathematical development

J Mulligan, M Mitchelmore - Mathematics Education Research Journal, 2009 - Springer
Recent educational research has turned increasing attention to the structural development
of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial …

Assessing the development of preschoolers' mathematical patterning

MM Papic, JT Mulligan… - Journal for Research in …, 2011 - pubs.nctm.org
The development of patterning strategies during the year prior to formal schooling was
studied in 53 children from 2 similar preschools. One preschool implemented a 6-month …

3 Making Use of Children's Powers to Produce Algebraic Thinking

J Mason - Algebra in the early grades, 2017 - taylorfrancis.com
By the time children get to school, they have already displayed enormous powers for making
sense of the worlds they inhabit: the material world of things, the mental world of images, the …