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Título de Acceso Abierto

Early Algebra: Research into its Nature, its Learning, its Teaching

Parte de: ICME-13 Topical Surveys

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Mathematics Education; Learning; Teaching

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No requiere 2016 Directory of Open access Books acceso abierto
No requiere 2016 SpringerLink acceso abierto

Información

Tipo de recurso:

libros

ISBN impreso

978-3-319-32257-5

ISBN electrónico

978-3-319-32258-2

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Tabla de contenidos

Introduction

Carolyn Kieran; JeongSuk Pang; Deborah Schifter; Swee Fong Ng

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, aged from about 6 years up to 12 years, this document reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.

Pp. 1-1

Survey of the State of the Art

Carolyn Kieran; JeongSuk Pang; Deborah Schifter; Swee Fong Ng

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, aged from about 6 years up to 12 years, this document reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.

Pp. 3-32

Summary and Looking Ahead

Carolyn Kieran; JeongSuk Pang; Deborah Schifter; Swee Fong Ng

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, aged from about 6 years up to 12 years, this document reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.

Pp. 33-33