Reconceptualizing Mathematics

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Reconceptualizing Mathematics

Author : Judith Sowder
ISBN : 9781429281775
Genre : Mathematics
File Size : 37.76 MB
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There is today a greater awareness that elementary mathematics is rich in important ideas and that its instruction requires far more than simply knowing the “math facts” and a handful of algorithms. Mathematics courses for teachers must reflect the intellectual depth and challenge of the elementary school curriculum. The Conference Board of Mathematical Sciences (CBMS) recommends that the preparation of mathematics teachers include courses that develop a “deep understanding of the mathematics they teach,” that are designed to “develop careful reasoning and ‘common sense’ in analyzing conceptual relationships, . . . that develop the habits of mind of a mathematical thinker and that demonstrate flexible, interactive styles of teaching” (CBMS, 2000, pp. 7-8). Judy Sowder, Larry Sowder, and Susan Nickerson recognize and accept the challenge of presenting mathematics to teachers in a manner that addresses these recommendations. In doing so they provide instruction that will lead teachers of mathematics to "reconceptualize" the mathematics they often think they already know, thus allowing them to develop a deeper understanding of the mathematics they will teach. The authors believe that teachers must know mathematics differently than most people do. Teachers need to know the mathematics they teach in a way that allows them to hold conversations about mathematical ideas and mathematical thinking with their students. A persistent pursuit of explanation is a hallmark of a classroom in which learning is taking place. A common axiom is that teachers teach the way they were taught. Prospective teachers are unlikely to demonstrate flexible, interactive styles of teaching unless they have experienced mathematics taught this way. Instructors of the "Reconceptualizing Mathematics" courses, however, may not have experienced such instruction themselves. Thus the authors provide many forms of instructional assistance to help instructors better understand the mathematics their prospective teachers need to know, to begin to model teaching strategies that these prospective teachers will be expected to use in their own classrooms, and to assist them in many ways throughout the course.
Category: Mathematics

Reconceptualizing Mathematics

Author : Judith Sowder
ISBN : 1464103356
Genre : Mathematics
File Size : 29.13 MB
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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.
Category: Mathematics

Loose Leaf Version For Reconceptualizing Mathematics

Author : Judith Sowder
ISBN : 9781464152894
Genre : Mathematics
File Size : 58.62 MB
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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
Category: Mathematics

Loose Leaf Version For Reconceptualizing Mathematics 3e Webassign Homework And E Book Life Of Edition Access

Author : Judith Sowder
ISBN : 1319149030
Genre : Mathematics
File Size : 64.71 MB
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"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. "
Category: Mathematics

Launchpad For Sowder S Reconceptualizing Mathematics Twenty Four Month Access

Author : Sowder
ISBN : 1464193843
Genre :
File Size : 77.71 MB
Format : PDF
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LaunchPad, our online course space, combines an interactive e-Book with high-quality multimedia content and ready-made assessment options, including LearningCurve adaptive quizzing and coded machine-gradable exercises from the textbook. Content is easy to assign or adapt with your own material, such as readings, videos, quizzes, discussion groups, and more. LaunchPad also provides access to a Gradebook that offers a window into your students' performance--either individually or as a whole. Use LaunchPad on its own or integrate it with your school's learning management system so your class is always on the same page. To learn more about LaunchPad for Reconceptualizing Mathematics, Third Edition, or to request access, go to launchpadworks.com.
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Reconceptualizing Early Mathematics Learning

Author : Lyn D. English
ISBN : 9789400764408
Genre : Education
File Size : 24.58 MB
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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.
Category: Education

Building Mathematics Learning Communities

Author : Erica N. Walker
ISBN : 9780807771044
Genre : Education
File Size : 49.8 MB
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“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.
Category: Education

Theories Of Mathematics Education

Author : Bharath Sriraman
ISBN : 9783642007422
Genre : Education
File Size : 44.72 MB
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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.
Category: Education

Teaching Mathematics Online Emergent Technologies And Methodologies

Author : Juan, Angel A.
ISBN : 9781609608767
Genre : Education
File Size : 29.60 MB
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"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.
Category: Education

The Teaching And Learning Of Mathematics At University Level

Author : Derek Holton
ISBN : 1402000723
Genre : Education
File Size : 73.5 MB
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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).
Category: Education

Social Constructivism As A Philosophy Of Mathematics

Author : Paul Ernest
ISBN : 0791435881
Genre : Philosophy
File Size : 32.23 MB
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Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Category: Philosophy