Download and read online Loose leaf Version for Reconceptualizing Mathematics in PDF and EPUB More and more, prospective elementary teachers are being asked to develop what the Conference Board of Mathematical Sciences (CBMS) calls “the habits of a mathematical thinker.” This breakthrough text became the new standard for training future elementary math teachers by doing just that, helping them absorb the ideas underlying essential math concepts, rather than just working problems and memorizing facts. Created from extensive math education research and class-testing, the book’s innovative pedagogy, convenient format (three-hole punched, perforated pages, wide margins), and supporting technology make it the ideal text for helping today’s students become tomorrow’s teachers
Download and read online Loose leaf Version for Reconceptualizing Mathematics in PDF and EPUB Reconceptualizing Mathematics, founded on research and studies of learning and mathematics teaching for many years, is designed for use in classrooms in which students take an active part in learning and experience doing math. The esteemed author team has written the only textbook of its kind to both incorporate aspects of student-centered learning into lessons and model the teaching that will be expected of their students. To this end, the authors provide worthwhile tasks, activities, and support for facilitating discussions. Quantitative reasoning and problem solving are recurring themes in Reconceptualizing Mathematics. The authors approach problem solving that teaches students to understand the quantities embedded in the situation and how they relate to each other.
Download and read online Reconceptualizing Mathematics Launchpad 24 month Access in PDF and EPUB "Reconceptualizing Mathematics," founded on research and studies of learning and mathematics teaching for many years, is designed for use in classrooms in which students take an active part in learning and experience doing math. The esteemed author team has written the only textbook of its kind to both incorporate aspects of student-centered learning into lessons and model the teaching that will be expected of their students. To this end, the authors provide worthwhile tasks, activities, and support for facilitating discussions. Quantitative reasoning and problem solving are recurring themes in "Reconceptualizing Mathematics." The authors approach problem solving that teaches students to understand the quantities embedded in the situation and how they relate to each other. "
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Download and read online Reconceptualizing Mathematics in PDF and EPUB Facts101 is your complete guide to Reconceptualizing Mathematics. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
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Download and read online Building Mathematics Learning Communities in PDF and EPUB “Opportunity to learn (OTL) factors interact and ultimately influence mathematics achievement. Many important OTL interactions take place in school settings. This volume provides insights into the role of peer interactions in the mathematics learning process. The analysis describes with a sense of purpose a topic that is typically overlooked in discussions of mathematics reform. The case study is an important contribution to the urban mathematics education literature.” —William F. Tate, Edward Mallinckrodt Distinguished University Professor in Arts & Sciences, Washington University in St. Louis Drawing on perceptions, behaviors, and experiences of students at an urban high school—both high and low achievers—this timely book demonstrates how urban youth can be meaningfully engaged in learning mathematics. The author presents a “potential” model rather than a “deficit” model, complete with teaching strategies and best practices for teaching mathematics in innovative and relevant ways. This resource offers practical insights for pre- and inservice teachers and administrators on facilitating positive interactions, engagement, and achievement in mathematics, particularly with Black and Latino/a students. It also examines societal perceptions of urban students and how these affect teaching and learning, policies, and mathematics outcomes. Based on extensive research in urban high schools, the author identifies three key principles that must be understood for teachers and students to build strong mathematics communities. They are: Urban students want to be a part of academically challenging environments. Teachers and administrators can inadvertently create obstacles that thwart the mathematics potential of students. Educators can build on existing student networks to create collaborative and non-hierarchical communities that support mathematics achievement. Erica N. Walker is Associate Professor of Mathematics Education at Teachers College, Columbia University.
Download and read online Theories of Mathematics Education in PDF and EPUB Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Download and read online Teaching Mathematics Online Emergent Technologies and Methodologies in PDF and EPUB "This book shares theoretical and applied pedagogical models and systems used in math e-learning including the use of computer supported collaborative learning, which is common to most e-learning practices"--Provided by publisher.
Download and read online The Teaching and Learning of Mathematics at University Level in PDF and EPUB This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).
Download and read online Reconceptualizing Early Mathematics Learning in PDF and EPUB This book emanated primarily from concerns that the mathematical capabilities of young children continue to receive inadequate attention in both the research and instructional arenas. Research over many years has revealed that young children have sophisticated mathematical minds and a natural eagerness to engage in a range of mathematical activities. As the chapters in this book attest, current research is showing that young children are developing complex mathematical knowledge and abstract reasoning a good deal earlier than previously thought. A range of studies in prior to school and early school settings indicate that young learners do possess cognitive capacities which, with appropriately designed and implemented learning experiences, can enable forms of reasoning not typically seen in the early years. Although there is a large and coherent body of research on individual content domains such as counting and arithmetic, there have been remarkably few studies that have attempted to describe characteristics of structural development in young students’ mathematics. Collectively, the chapters highlight the importance of providing more exciting, relevant, and challenging 21st century mathematics learning for our young students. The chapters provide a broad scope in their topics and approaches to advancing young children’s mathematical learning. They incorporate studies that highlight the importance of pattern and structure across the curriculum, studies that target particular content such as statistics, early algebra, and beginning number, and studies that consider how technology and other tools can facilitate early mathematical development. Reconceptualising the professional learning of teachers in promoting young children’s mathematics, including a consideration of the role of play, is also addressed.
Download and read online Relearning Mathematics in PDF and EPUB This book is grounded in the author’s experiences of teaching mathematics for prospective elementary school teachers and conducting research on their understanding of mathematical concepts. It is a reflection on practice and an attempt to cope with a double challenge: that of a teacher, in helping prospective teachers make sense of mathematics, and that of a researcher, in an attempt to understand and describe the challenges faced by students. This work fits within the current community interest on teacher education and provides a novel focus, with both theoretical and practical considerations. The central claim in this book is that encounters with mathematical content by prospective elementary school teachers constitute relearning, rather than learning, of mathematics. The specific focus is on topics related to elementary number theory (e.g. divisibility, prime factorization), which is referred to as a “forgotten queen” (following Gauss’ reference to number theory as a queen of mathematics). This is the content area that has not received significant attention in mathematics education research. The book can be summarized as an attempt to address the following questions: What is relearning of mathematical content and how is it similar to or different from learning? What are the examples of specific mathematical topics or concepts that require relearning? What pedagogical approaches can support relearning? The detailed analysis of research data and pedagogical approaches presented in the book are intertwined with stories of personal experiences of the author, which makes the reading not only intellectually stimulating but also enjoyable.
Download and read online Culturally Responsive Mathematics Education in PDF and EPUB At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.