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Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

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Release : 2017-12-04
Genre : Education
Kind : eBook
Book Rating : 519/5 ( reviews)

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Book Synopsis Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by : Carolyn Kieran

Download or read book Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds written by Carolyn Kieran. This book was released on 2017-12-04. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Early Algebra

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Release : 2016-07-11
Genre : Education
Kind : eBook
Book Rating : 583/5 ( reviews)

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Book Synopsis Early Algebra by : Carolyn Kieran

Download or read book Early Algebra written by Carolyn Kieran. This book was released on 2016-07-11. Available in PDF, EPUB and Kindle. Book excerpt: 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 volume 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.

Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5

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Release : 2011
Genre : Algebra
Kind : eBook
Book Rating : 684/5 ( reviews)

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Book Synopsis Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 by : Maria L. Blanton

Download or read book Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 written by Maria L. Blanton. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.

MSCEIS 2019

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Release : 2020-07-30
Genre : Science
Kind : eBook
Book Rating : 563/5 ( reviews)

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Book Synopsis MSCEIS 2019 by : Lala Septem Riza

Download or read book MSCEIS 2019 written by Lala Septem Riza. This book was released on 2020-07-30. Available in PDF, EPUB and Kindle. Book excerpt: The 7th Mathematics, Science, and Computer Science Education International Seminar (MSCEIS) was held by the Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia (UPI) and the collaboration with 12 University associated in Asosiasi MIPA LPTK Indonesia (AMLI) consisting of Universitas Negeri Semarang (UNNES), Universitas Pendidikan Indonesia (UPI), Universitas Negeri Yogyakarta (UNY), Universitas Negeri Malang (UM), Universitas Negeri Jakarta (UNJ), Universitas Negeri Medan (UNIMED), Universitas Negeri Padang (UNP), Universitas Negeri Manado (UNIMA), Universitas Negeri Makassar (UNM), Universitas Pendidikan Ganesha (UNDHIKSA), Universitas Negeri Gorontalo (UNG), and Universitas Negeri Surabaya (UNESA). In this year, MSCEIS 2019 takes the following theme: "Mathematics, Science, and Computer Science Education for Addressing Challenges and Implementations of Revolution-Industry 4.0" held on October 12, 2019 in Bandung, West Java, Indonesia.

Problem Posing and Problem Solving in Mathematics Education

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Release : 2024-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 051/5 ( reviews)

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Book Synopsis Problem Posing and Problem Solving in Mathematics Education by : Tin Lam Toh

Download or read book Problem Posing and Problem Solving in Mathematics Education written by Tin Lam Toh. This book was released on 2024-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

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