Reconceptualizing Mathematics

Reconceptualizing Mathematics

Author: Judith Sowder

Publisher: Macmillan Higher Education

Published: 2023-03-03

Total Pages: 4164

ISBN-13: 1319483135

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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.


Reconceptualizing Early Mathematics Learning

Reconceptualizing Early Mathematics Learning

Author: Lyn D. English

Publisher: Springer Science & Business Media

Published: 2013-05-09

Total Pages: 343

ISBN-13: 9400764405

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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.


Mathematics for Equity

Mathematics for Equity

Author: Na’ilah Suad Nasir

Publisher: Teachers College Press

Published: 2014-12-04

Total Pages: 289

ISBN-13: 0807773069

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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


Social Constructivism as a Philosophy of Mathematics

Social Constructivism as a Philosophy of Mathematics

Author: Paul Ernest

Publisher: SUNY Press

Published: 1998-01-01

Total Pages: 336

ISBN-13: 9780791435878

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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.


Reconceptualizing STEM Education

Reconceptualizing STEM Education

Author: Richard A. Duschl

Publisher: Routledge

Published: 2016-01-08

Total Pages: 363

ISBN-13: 1317458508

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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.


Handbook of Research on Reconceptualizing Preservice Teacher Preparation in Literacy Education

Handbook of Research on Reconceptualizing Preservice Teacher Preparation in Literacy Education

Author: Araujo, Juan J.

Publisher: IGI Global

Published: 2021-12-17

Total Pages: 412

ISBN-13: 1799887278

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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.


Theories of Mathematics Education

Theories of Mathematics Education

Author: Bharath Sriraman

Publisher: Springer Science & Business Media

Published: 2009-10-13

Total Pages: 650

ISBN-13: 3642007422

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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.


Reconceptualizing Disability in Education

Reconceptualizing Disability in Education

Author: Luigi Iannacci

Publisher: Rowman & Littlefield

Published: 2020-07-06

Total Pages: 147

ISBN-13: 149854276X

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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.


Democracy and Mathematics Education

Democracy and Mathematics Education

Author: Kurt Stemhagen

Publisher: Routledge

Published: 2021-05-06

Total Pages: 239

ISBN-13: 1000378136

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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.