Download or read book Reconceptualizing Mathematics written by Judith Sowder and published by Macmillan Higher Education. This book was released on 2023-03-03 with total page 4164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn by doing with active resources, discussions, and support in Reconceptualizing Mathematics and Achieve! Student-centered lessons model the teaching that will eventually be expected of you as you gain valuable hands-on experience with technology, problem solving, and quantitative reasoning.
Download or read book Mathematics for Equity written by Na’ilah Suad Nasir and published by Teachers College Press. This book was released on 2014-12-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, nationally renowned scholars join classroom teachers to share equity-oriented approaches that have been successful with urban high school mathematics students. Compiling for the first time major research findings and practitioner experiences from Railside High School, the volume describes the evolution of a fundamentally different conception of learners and teaching. The chapters bring together research and reflection on teacher collaboration and professional community, student outcomes and mathematics classroom culture, reform curricula and pedagogy, and ongoing teacher development. Mathematics for Equity will be invaluable reading for teachers, schools, and districts interested in maintaining a focus on equity and improving student learning while making sense of the new demands of the Common Core State Standards. Book Features: Core principles of an equity-centered mathematics program. Examples of how to focus and organize the collaborative work of a math department to develop a shared pedagogy. Student experiences with an equity pedagogy that focuses on building perseverance, flexibility in thinking, and deep conceptual understanding. Connections between reconceptualizing learners and teaching, and achieving deep mathematics learning and equitable outcomes. Contributors include: Jo Boaler, Ilana Seidel Horn, Judith Warren Little, and Rachel Lotan. “Mathematics for Equity provides a kaleidoscopic view, in the voices of teachers, researchers, and students themselves, of one of the nation’s most ambitious and successful attempts at teaching mathematics for equity. It shows what it takes to create a climate that supports students and teachers in engaging in meaningful mathematical activity—and, alas, how vulnerable such environments are to the wrong kinds of ‘accountability.’ Read it and learn.” —Alan H. Schoenfeld, University of California at Berkeley “Want to fix what's wrong with mathematics instruction in your school? Read this book with your colleagues and do what it inspires you to do. Written by the brave teachers and former students who did it, as well as researchers.” —Phil Daro, writing team, Common Core Standards, Strategic Education Research Partnership
Download or read book Mathematics for Elementary Teachers written by Eugene F. Krause and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Reconceptualizing Early Mathematics Learning written by Lyn D. English and published by Springer Science & Business Media. This book was released on 2013-05-09 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 or read book Reconceptualizing STEM Education written by Richard A. Duschl and published by Routledge. This book was released on 2016-01-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconceptualizing STEM Education explores and maps out research and development ideas and issues around five central practice themes: Systems Thinking; Model-Based Reasoning; Quantitative Reasoning; Equity, Epistemic, and Ethical Outcomes; and STEM Communication and Outreach. These themes are aligned with the comprehensive agenda for the reform of science and engineering education set out by the 2015 PISA Framework, the US Next Generation Science Standards and the US National Research Council’s A Framework for K-12 Science Education. The new practice-focused agenda has implications for the redesign of preK-12 education for alignment of curriculum-instruction-assessment; STEM teacher education and professional development; postsecondary, further, and graduate studies; and out-of-school informal education. In each section, experts set out powerful ideas followed by two eminent discussant responses that both respond to and provoke additional ideas from the lead papers. In the associated website highly distinguished, nationally recognized STEM education scholars and policymakers engage in deep conversations and considerations addressing core practices that guide STEM education.
Download or read book Handbook of Research on Reconceptualizing Preservice Teacher Preparation in Literacy Education written by Araujo, Juan J. and published by IGI Global. This book was released on 2021-12-17 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: As it stands, there is currently a void in education literature in how to best prepare preservice teachers to meet the needs of individualized learners across multiple learning platforms, social/economical contexts, language variety, and special education needs. The subject is in dire need of support for the ongoing improvement of administrative, clinical, diagnostic, and instructional practices related to the learning process. The Handbook of Research on Reconceptualizing Preservice Teacher Preparation in Literacy Education stimulates the professional development of preservice and inservice literacy educators and researchers. This book also promotes the excellence in preservice and inservice literacy both nationally and internationally. Discussing topics such as virtual classrooms, critical literacy, and teacher preparation, this book serves as an ideal resource for tenure- track faculty in literacy education, clinical faculty, field supervisors who work with preservice teacher educators, community college faculty, university faculty who are in the midst of reconceptualizing undergraduate teacher education curriculum, mentor teachers working with preservice teachers, district personnel, researchers, students, and curricula developers who wish to understand the needs of preservice teacher education.
Download or read book Theories of Mathematics Education written by Bharath Sriraman and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 or read book Powerful Problem Solving written by Max Ray and published by Heinemann Educational Books. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.
Download or read book Reconceptualizing Qualitative Research written by Mirka Koro-Ljungberg and published by SAGE Publications. This book was released on 2015-03-25 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calling for qualitative research that is complex, situational, theoretically situated, and yet productive, Reconceptualizing Qualitative Research discusses the multiplicities and uncertainty embedded in different methodological configurations and entanglements that blur the boundaries between doing research, theorizing, thinking, and reflecting. Writing in a clear, conversational style, author Mirka Koro-Ljungberg urges readers to think about qualitative research differently, often in creative ways, and to continuously question existing grand narratives and dogmas.
Download or read book Reconceptualizing Disability in Education written by Luigi Iannacci and published by Rowman & Littlefield. This book was released on 2020-07-06 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconceptualizing Disability in Education provides an essential critical exploration of problematic discourses, practices, and pedagogies that inform how disability is presently understood and responded to within the field of education. Luigi Iannacci interrogates and destabilizes ableist grand narratives that dominate every aspect of how disability is linguistically, bureaucratically, procedurally, and pedagogically configured within education. Ultimately, this book seeks to forward human rights for people with disabilities in educational contexts by clarifying and operationalizing inclusion so that it is not just a model necessitated by a hierarchy of legality, but rather a set of beliefs and practices based on critical analyses and a reconceptualization of current understandings and responses to disability that prevent inclusion and human rights from being realized. As the book is grounded in reconceptualist theorizing, it draws on multiple perspectives—including critical disability theory, post-modernism, critical theory, critical pedagogy, and social constructivism—to deconstruct and destabilize what is currently taken for granted about disability and those ascribed disabled identities within education. A variety of personal, professional, research experiences and data are offered and drawn on to critically address questions regarding philosophical, epistemological, pedagogical, organizational, economic, and leadership issues as they relate to disability in education. Critical incidents, interviews, documents, and artifacts are drawn on and narratively presented to explore how disability is presently configured in language, identification, and placement processes, discourses, pedagogies, and interactions with students deemed disabled, as well as their parents/caregivers. This critical narrative approach fosters alternative ways of thinking, speaking, being, and doing that forward a human rights focused model of disability that sees as its mandate the amelioration of people with disabilities within education.
Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.
Download or read book Democracy and Mathematics Education written by Kurt Stemhagen and published by Routledge. This book was released on 2021-05-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Linear and Integer Programming written by Abdul Bari and published by Cambridge Scholars Publishing. This book was released on 2019-10-25 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily intended for undergraduate and postgraduate students of statistics, mathematics, operations research, and engineering. It provides the basic concepts and methods of linear and integer linear programming. The text begins with an introduction containing the mathematical background to the subject matter, and goes on to discuss advancements the field. Formulations of various problems in diverse fields in linear and integer programming formats are also presented here. The book’s presentation of the solution of various numerical problems makes the subject matter and the methods detailed in the text more lucid and easier to comprehend.
Download or read book Re Conceptualizing Safe Spaces written by Kate Winter and published by Emerald Group Publishing. This book was released on 2021-10-25 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book broadens the idea of a safe space that is traditionally discussed in feminist studies, to include gendered identities intersecting with class, race/ethnicity, sexual orientation, and ability within multiple aspects of education. This collection showcases work supporting access to education of persistently marginalized individuals.
Download or read book Teaching Primary Years written by Katherine Main and published by Routledge. This book was released on 2020-07-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary years are recognised as a distinct period in a child's development with significant consequences for ongoing educational success. During this critical time, formal schooling and the associated activities introduce children to new and extended social roles where they learn to cooperate and collaborate with their peers and adults. Children also begin to develop a sense of themselves and their competence in a range of domains including social, academic, sport and music. This edited collection provides specialist guidance in developing curriculum, pedagogy and assessment to meet the needs of primary years children. The text begins by exploring the unique characteristics of this age group including cognitive, social, emotional and physical development. It considers the expectations of teachers, including ethical and legal issues and guidance on how to develop positive learning spaces and collaborative approaches. There is an exploration of the needs of the child including facilitating transition from the early years and into secondary school. The text then considers the curriculum in depth including language and literacy, mathematics and numeracy, science and technology, health and physical education and the humanities. A focus on some of the key challenges in primary education bring the book to its conclusion, including effectively harnessing digital technology, developing age appropriate pedagogies, practising differentiated learning and effective assessment. Rich with insights from experts in the field and featuring case studies and practical examples throughout, this is a key resource for both pre-service and in-service primary teachers. Other professionals working with primary years students and parents will also benefit from engaging with this book.
