Download or read book Teaching Early Algebra Through Example Based Problem Solving written by Meixia Ding and published by Routledge. This book was released on 2023-01-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Learning and Teaching of Algebra written by Abraham Arcavi and published by Routledge. This book was released on 2016-06-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
Download or read book Insights into Teaching Mathematics written by Anthony Orton and published by A&C Black. This book was released on 2004-10-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.
Download or read book Insights into Teaching Mathematics written by Anthony Orton and published by A&C Black. This book was released on 2004-10-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.
Download or read book Insights Into Algebra written by Robert C. Wrede and published by Booksurge Publishing. This book was released on 2008-05-27 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Insights Into Algebra" consists of three parts. Part 1 examines content. Part 2 is a fanciful space-time walk exploring the contributions and lives of the mathematicians who developed the subject. The third part is a mythical story emphasizing the mysteries of the real number system.
Download or read book Insights into Game Theory written by Ein-Ya Gura and published by Cambridge University Press. This book was released on 2008-11-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we’re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Download or read book Neutrosophic Insights into Military Interventions Assessing Legitimacy and Consequences in International Law Neutrosophic Insights into Military Interventions Assessing Legitimacy and Consequences in International Law written by Salame Ortiz Monica Alexandra and published by Infinite Study. This book was released on 2024-01-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scientific paper analyzes the legitimacy of military interventions within the framework of international law and their potential consequences. It highlights the need to support these interventions with robust legal and moral reasoning due to their complexity and controversy in the international community. The interpretation of legal and ethical principles can be subjective and lead to disagreements among states and international actors. The consequences of military interventions are explored, ranging from loss of life and infrastructure destruction to population displacement, political instability, and humanitarian crises. Legality and proportionality in interventions are essential to ensuring their legitimacy, and the potential consequences must be carefully assessed before undertaking an intervention. Adherence to the international legal framework is crucial to prevent military interventions from being deemed violations of international law. The neutrosophic DEMATEL methodology used in the study identifies cause-and-effect relationships among key criteria related to military actions in the realm of international law. The article highlights the importance of carefully considering the legitimacy and potential consequences of military interventions within the context of international law.
Download or read book Transformational Change Efforts Student Engagement in Mathematics through an Institutional Network for Active Learning written by Wendy M. Smith and published by American Mathematical Soc.. This book was released on 2021-05-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?
Download or read book Insights Into Global Engineering Education After the Birth of Industry 5 0 written by Montaha Bouezzeddine and published by BoD – Books on Demand. This book was released on 2022-04-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insights Into Global Engineering Education After the Birth of Industry 5.0 presents a comprehensive overview of recent developments in the fields of engineering and technology. The book comprises single chapters authored by various researchers and edited by an expert active in the engineering education research area. It provides a thorough overview of the latest research efforts by international authors on engineering education and opens potential new research paths for further novel developments.
Download or read book International Perspectives on Mathematics Teacher Education written by Denisse Thompson and published by . This book was released on 2021 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics teacher education includes the mathematics content teachers need to understand, the ways that pedagogical approaches are developed, the messages about the nature of mathematics teaching and learning, and the interface between tertiary preparation and school contexts. Scholars from Sweden, France, Malawi, Singapore, New Zealand, Brazil, the USA, and Canada provide insights for the mathematics education community's understanding of how teacher educators in different countries structure, develop, and implement their respective mathematics teacher education programs. Several themes emerged across the chapters including: varied approaches to developing culturally responsive pedagogies and/or Indigenous perspectives to ensure equity and diversity for all students; issues and challenges in fostering partnerships and collaborations among various stakeholders, with partnerships involving connections with mathematics classroom teachers, school districts, and/or mathematicians or mathematics departments; strategies for developing mathematics knowledge for teaching, providing insights into messages about what it means to learn mathematics in terms of content and pedagogy; and preparing teachers who have flexibility and resourcefulness. This book will be of interest to those responsible for higher education, including teacher educators, researchers in mathematics teacher education, instructors of graduate courses preparing future teacher educators, as well as policy makers"--
Download or read book New Perspectives in Algebra Topology and Categories written by Maria Manuel Clementino and published by Springer Nature. This book was released on 2021-10-16 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.
Download or read book Perspectives on School Algebra written by Rosamund Sutherland and published by Springer Science & Business Media. This book was released on 2006-02-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.
Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
Download or read book Insights Into Data written by Thomas Romberg and published by . This book was released on 2006 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Building Support for Scholarly Practices in Mathematics Methods written by Signe E. Kastberg and published by IAP. This book was released on 2017-09-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.
Download or read book Multiple Perspectives on Mathematics Teaching and Learning written by Jo Boaler and published by Bloomsbury Publishing USA. This book was released on 2000-07-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Perspectives on Mathematics Teaching and Learning offers a collection of chapters that take a new look at mathematics education. Leading authors, such as Deborah Ball, Paul Cobb, Jim Greeno, Stephen Lerman, and Michael Apple, draw from a range of perspectives in their analyses of mathematics teaching and learning. They address such practical problems as: the design of teaching and research that acknowledges the social nature of learning, maximizing the impact of teacher education programs, increasing the learning opportunities of students working in groups, and ameliorating the impact of male domination in mixed classrooms. These practical insights are combined with important advances in theory. Several of the authors address the nature of learning and teaching, including the ways in which theories and practices of mathematics education recognize learning as simultaneously social and individual. The issues addressed include teaching practices, equity, language, assessment, group work and the broader political context of mathematics reform. The contributors variously employ sociological, anthropological, psychological, sociocultural, political, and mathematical perspectives to produce powerful analyses of mathematics teaching and learning.
