Teaching early algebra through example-based problem solving : insights from Chinese and U.S. elementary classrooms / Meixia Ding.

By: Ding, Meixia [author.]Material type: TextTextLanguage: English Series: Routledge research in STEM educationPublisher: New York : Routledge, 2021Copyright date: ©2021Edition: First published 2021Description: xvii, 204 pages : charts ; 23 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9780367431785 (hardback)Subject(s): Algebra -- Study and teaching (Elementary) | Problem solvingLOC classification: QA159 .D56 2021
Contents:
Inverse relations between addition and subtraction.
Inverse relations between multiplication and division.
Properties of addition: CP and AP.
Properties of multiplication: CP, AP, and DP.
Summary: "Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at elementary level through "example-based problem solving". Recognizing young children's particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade math teaching, and illustrates how this has been achieved by teachers in US and Chinese contexts. Documenting best practice and students' responses to example-based instruction, the text demonstrates that this approach - which involves the use of worked examples, representations, and deep questions - helps students identify connections between concrete and abstract representations, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest. Meixia Ding is Associate Professor in the College of Education, Temple University, USA"-- Provided by publisher.
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Books MEF Üniversitesi Kütüphanesi
Genel Koleksiyon QA 159 .D56 2021 (Browse shelf (Opens below)) Available 0020568

"To my parents, Banglian Ding & Zufeng Gu, whose love transcends the Pacific Ocean."

Includes index (pages 201-204).

Inverse relations between addition and subtraction.

Inverse relations between multiplication and division.

Properties of addition: CP and AP.

Properties of multiplication: CP, AP, and DP.

"Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at elementary level through "example-based problem solving". Recognizing young children's particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade math teaching, and illustrates how this has been achieved by teachers in US and Chinese contexts. Documenting best practice and students' responses to example-based instruction, the text demonstrates that this approach - which involves the use of worked examples, representations, and deep questions - helps students identify connections between concrete and abstract representations, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest. Meixia Ding is Associate Professor in the College of Education, Temple University, USA"-- Provided by publisher.