Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds
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Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2017-12-04
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Education categories.
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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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2016-07-11
Early Algebra written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Education categories.
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.
Mathematics Education In Singapore
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Author : Tin Lam Toh
language : en
Publisher: Springer
Release Date : 2019-02-07
Mathematics Education In Singapore written by Tin Lam Toh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Education categories.
This book provides a one-stop resource for mathematics educators, policy makers and all who are interested in learning more about the why, what and how of mathematics education in Singapore. The content is organized according to three significant and closely interrelated components: the Singapore mathematics curriculum, mathematics teacher education and professional development, and learners in Singapore mathematics classrooms. Written by leading researchers with an intimate understanding of Singapore mathematics education, this up-to-date book reports the latest trends in Singapore mathematics classrooms, including mathematical modelling and problem solving in the real-world context.
Handbook Of Digital Resources In Mathematics Education
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Author : Birgit Pepin
language : en
Publisher: Springer Nature
Release Date : 2024-06-21
Handbook Of Digital Resources In Mathematics Education written by Birgit Pepin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-21 with Education categories.
This handbook presents the state-of-the art scholarship on theoretical frames, mathematical content, learning environments, pedagogic practices, teacher professional learning, and policy issues related to the development and use of digital resources in mathematics education. With the advent of more and more open access digital resources, teachers choose from the web what they see fit for their classroom; students choose ‘in the moment’ what they need for their projects and learning paths. However, educators and students often find it difficult to choose from the abundance of materials on offer, as they are uncertain about their quality and beneficial use. It is clear that at a time of bouleversement of the teaching-learning processes, it is crucial to understand the quality and the (potentially) transformative aspects of digital resources. This book provides comprehensive analyses of and insights into the transformative aspects of digital resources.
Algebra Structure Sense Development Amongst Diverse Learners
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Author : Teresa Rojano
language : en
Publisher: Taylor & Francis
Release Date : 2022-06-07
Algebra Structure Sense Development Amongst Diverse Learners written by Teresa Rojano and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-07 with Education categories.
This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels. Positing algebra structure sense as fundamental to developing students’ broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity. Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.
Learning Mathematics By Cultural Historical Theory Implementation
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Author : Aleksander Veraksa
language : en
Publisher: Springer Nature
Release Date : 2024-09-24
Learning Mathematics By Cultural Historical Theory Implementation written by Aleksander Veraksa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-24 with Education categories.
This book is devoted to the topic of mathematical skills development, which was the focus of Vygotsky's cultural-historical theory. It offers descriptions of studies of development of visual modelling in children and its use for educational purposes. Special attention is given to concrete examples of Vygotsky’s work and educational programs that makes it possible to replicate the results in various settings. The work also addresses conditions, means and predictors of mathematical concepts acquisition at different ages and educational levels (preschool, primary and middle secondary education). The book shows theoretical solidity of cultural-historical approach and experience of its implementation in teaching of mathematical knowledge in childhood and the study of the process of psychological development.
Exploration Of K 12 Teaching And Learning For Teacher Educators
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Author : Wilkins, Martha Ann
language : en
Publisher: IGI Global
Release Date : 2025-05-02
Exploration Of K 12 Teaching And Learning For Teacher Educators written by Wilkins, Martha Ann and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-02 with Education categories.
The exploration of K-12 teaching and learning is a crucial area of study for teacher educators, as it directly informs the preparation and professional development of future educators. This field examines the diverse educational practices, theories, and challenges that shape the classroom experience from kindergarten through high school. By delving into the intricacies of curriculum design, instructional strategies, assessment methods, and the social and emotional development of students, teacher educators can better equip prospective teachers with the knowledge and skills necessary to foster effective and inclusive learning environments. Teacher educators focus on pedagogical theory and the practical application of these ideas in real-world classrooms, ensuring teachers are prepared to meet the needs of their students and the demands of modern education. Exploration of K-12 Teaching and Learning for Teacher Educators explores the experiences, reflections, and insights of seasoned teacher educators in the K-12 education domain. It delves into the transition from classroom practitioner to teacher preparer, offering a deeper understanding of the challenges, triumphs, and transformative moments that teacher educators encounter in their vital role of shaping the next generation of educators. This book covers topics such as digital literacy, social media, and teacher training, and is a useful resource for educators, engineers, academicians, researchers, and data scientists.
Encountering Algebra
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Author : Cecilia Kilhamn
language : en
Publisher: Springer
Release Date : 2019-07-03
Encountering Algebra written by Cecilia Kilhamn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Education categories.
The book reports a comparative research project about algebra teaching and learning in four countries. Algebra is a central topic of learning across the world, and it is well-known that it represents a hurdle for many students. The book presents analyses built on extensive video-recordings of classrooms documenting the first introduction to symbolic algebra (students aged 12 to 14). While the content addressed in all classrooms is variables, expressions and equations, the teaching approaches are diverse. The chapters bring the reader into different algebra classrooms, discussing issues such as mathematization and social norms, the role of mediating tools and designed examples, and teacher beliefs. By comparing classrooms, new insights are generated about how students understand the algebraic content, how teachers instruct, and how both parties deal with difficulties in learning elementary algebra. The book also describes a research methodology using video in search of taken-for-grantedaspects of algebra lessons.
Lessons Learned From Research On Mathematics Curriculum
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Author : Denisse R Thompson
language : en
Publisher: IAP
Release Date : 2024-09-01
Lessons Learned From Research On Mathematics Curriculum written by Denisse R Thompson and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-01 with Education categories.
This volume focuses on research related to mathematics curriculum. But rather than focusing on results of research, it focuses on lessons learned about conducting research on curriculum, whether about design and development, analysis of curriculum in the form of official standards or textbook instantiations, teacher intentions related to curriculum implementation, or actual classroom enactment. For scholars interested in curriculum research, the volume offers lessons about conducting curriculum research that have been learned by others engaged in such work, including frameworks, tools, and techniques, as well as challenges and issues faced, with solutions to address them. Sharing lessons from authors of different countries strengthens the broader mathematics research community and provides insights that can help researchers make important strides forward in research on mathematics curriculum.
Teaching Early Algebra Through Example Based Problem Solving
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Author : Meixia Ding
language : en
Publisher: Routledge
Release Date : 2021-04-08
Teaching Early Algebra Through Example Based Problem Solving written by Meixia Ding and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Education categories.
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 the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, 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.