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Rethinking Mathematics

Rethinking Mathematics Author Eric Gutstein
ISBN-10 9780942961546
Release 2005-01-01
Pages 179
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A collection of more than thirty articles shows teachers how to weave social justice principles throughout the math curriculum, and how to integrate social justice math into other curricular areas as well.



Rethinking School Mathematics

Rethinking School Mathematics Author Andrew Noyes
ISBN-10 9781848605183
Release 2007-05-21
Pages 152
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Why is it that so many pupils are put off by maths, seeing it as uninspiring and irrelevant, and that so many choose to drop it as soon as they can? Why is it socially acceptable to be bad at maths? Does the maths curriculum really prepare pupils for life? This book presents some answers to these questions, helping teachers to think through their own attitudes to teaching and learning, and to work with pupils towards more effective and inspiring mathematical engagement. Part I of the book explores the nature of school mathematics - showing how the curriculum has been developed over the years, and how increasing effort has been devoted to improving the quality of mathematics teaching, with little apparent effect. Part II focuses on ways of thinking about classroom mathematics which take account of social, cultural, political and historical aspects. The chapters bring together a collection of activities, resources and discussion which will help teachers develop new ways of teaching and learning maths. This book will be essential reading for all maths teachers, including maths specialists on initial teacher training courses.



Developing Mathematical Thinking

Developing Mathematical Thinking Author Jonathan D. Katz
ISBN-10 9781475810585
Release 2014-07-07
Pages 150
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The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.



Standards based Mathematics Assessment in Middle School

Standards based Mathematics Assessment in Middle School Author Thomas A. Romberg
ISBN-10 0807744816
Release 2004
Pages 258
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This volume takes an in-depth look at the problems and practices involved in conducting formative assessments in middle school mathematics classrooms. In these chapters, researchers and teachers identify the challenges teachers faced as they attempted to implement new assessment procedures, moving from more traditional methods to an emphasis in the quality of student work. This authoritative book: Documents the shift from traditional ways of judging student performance (tests to measure what students know) to reform notions of mathematical literacy (documenting students' growth in understanding specific content domains); Discusses four key steps in the change process that helped teachers to accomplish the necessary shift in assessment practices. Includes two chapters written by teachers that describe their personal experiences with implementing these new practices in the classroom and outlines a professional development program that evolved as a consequence of the work done by the teachers and students discussed in this book.



The Impact of Identity in K 8 Mathematics Learning and Teaching

The Impact of Identity in K 8 Mathematics Learning and Teaching Author Julia Aguirre
ISBN-10 0873536894
Release 2013
Pages 126
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Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions



Rethinking the Mathematics Curriculum

Rethinking the Mathematics Curriculum Author Celia Hoyles
ISBN-10 9781135701062
Release 2002-01-04
Pages 270
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At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.



Ethnomathematics

Ethnomathematics Author Arthur B. Powell
ISBN-10 079143351X
Release 1997
Pages 440
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Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.



New Directions for Equity in Mathematics Education

New Directions for Equity in Mathematics Education Author Walter G. Secada
ISBN-10 0521477204
Release 1995-04-28
Pages 364
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This book examines equity from the standpoint of mathematics education - an excellent forum for the topic, since the results are quantifiable and the disparity in performance is stark.



Empowering Science and Mathematics Education in Urban Schools

Empowering Science and Mathematics Education in Urban Schools Author Edna Tan
ISBN-10 9780226037998
Release 2012-08-15
Pages 224
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Math and science hold powerful places in contemporary society, setting the foundations for entry into some of the most robust and highest-paying industries. However, effective math and science education is not equally available to all students, with some of the poorest students—those who would benefit most—going egregiously underserved. This ongoing problem with education highlights one of the core causes of the widening class gap. While this educational inequality can be attributed to a number of economic and political causes, in Empowering Science and Mathematics Education in Urban Communities, Angela Calabrese Barton and Edna Tan demonstrate that it is augmented by a consistent failure to integrate student history, culture, and social needs into the core curriculum. They argue that teachers and schools should create hybrid third spaces—neither classroom nor home—in which underserved students can merge their personal worlds with those of math and science. A host of examples buttress this argument: schools where these spaces have been instituted now provide students not only an immediate motivation to engage the subjects most critical to their future livelihoods but also the broader math and science literacy necessary for robust societal engagement. A unique look at a frustratingly understudied subject, Empowering Science and Mathematics Education pushes beyond the idea of teaching for social justice and into larger questions of how and why students participate in math and science.



Mathematics Education and Technology Rethinking the Terrain

Mathematics Education and Technology Rethinking the Terrain Author Celia Hoyles
ISBN-10 1441901469
Release 2009-10-09
Pages 494
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Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.



Radical Equations

Radical Equations Author Robert Moses
ISBN-10 9780807031698
Release 2002-06-10
Pages 256
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At a time when popular solutions to the educational plight of poor children of color are imposed from the outside-national standards, high-stakes tests, charismatic individual saviors-the acclaimed Algebra Project and its founder, Robert Moses, offer a vision of school reform based in the power of communities. Begun in 1982, the Algebra Project is transforming math education in twenty-five cities. Founded on the belief that math-science literacy is a prerequisite for full citizenship in society, the Project works with entire communities-parents, teachers, and especially students-to create a culture of literacy around algebra, a crucial stepping-stone to college math and opportunity. Telling the story of this remarkable program, Robert Moses draws on lessons from the 1960s Southern voter registration he famously helped organize: 'Everyone said sharecroppers didn't want to vote. It wasn't until we got them demanding to vote that we got attention. Today, when kids are falling wholesale through the cracks, people say they don't want to learn. We have to get the kids themselves to demand what everyone says they don't want.' We see the Algebra Project organizing community by community. Older kids serve as coaches for younger students and build a self-sustained tradition of leadership. Teachers use innovative techniques. And we see the remarkable success stories of schools like the predominately poor Hart School in Bessemer, Alabama, which outscored the city's middle-class flagship school in just three years. Radical Equations provides a model for anyone looking for a community-based solution to the problems of our disadvantaged schools. From the Trade Paperback edition.



Pencils Down

Pencils Down Author Wayne Au
ISBN-10 094296151X
Release 2012
Pages 303
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A collection of articles from Rethinking Schools magazine.



Mathematical Mindsets

Mathematical Mindsets Author Jo Boaler
ISBN-10 9781118418277
Release 2015-10-12
Pages 320
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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.



Reflecting the World

Reflecting the World Author Mathew D. Felton?Koestler
ISBN-10 9781681237695
Release 2017-02-01
Pages 139
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Reflecting the World: A Guide to Incorporating Equity in Mathematics Teacher Education is a guide for mathematics teacher educators interested in incorporating equity concerns into their teaching. The book draws on the authors’ research and experience integrating issues of equity, diversity, and social justice into their work as mathematics teacher educators of preservice and inservice preK?9 teachers. Reflecting the World includes both a framework for integrating issues of equity into mathematics teacher education courses and professional development and example lessons. The lessons are organized by content area and include guidance for using them effectively. Elementary and middle grades pre?service teachers are often uncomfortable with mathematics, uncertain about their ability to teach it, and unsure of how it connects to the real world. For many preservice teachers a focus on the real world—and in particular on issues of equity, diversity, and social justice—is more engaging than their past experiences with mathematics and can help lessen their mathematical anxieties. Reflecting the World will assist teacher educators in designing and teaching mathematics content and methods courses in ways that support future teachers to see the relevance of mathematics to our world and in becoming critical, questioning citizens in an increasingly mathematical world. The book provides a set of tools for helping future teachers connect mathematics to the lives, interests, and political realities of an increasingly diverse student body, and in doing so it provides a meaningful answer to the question, “when will I ever use this?”



Culturally Specific Pedagogy in the Mathematics Classroom

Culturally Specific Pedagogy in the Mathematics Classroom Author Jacqueline Leonard
ISBN-10 9781351225441
Release 2017-10-03
Pages 232
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"Culturally Specific Pedagogy in the Mathematic Classroom offers a wide variety of conceptual and curricular resources for teachers interested in teaching mathematics in a way that challenges stratification based upon race, class, gender and other forms of oppression that students face in today?s world?. With the publication of this book, all teachers will have available to them instructional strategies in mathematics for meeting the academic needs of culturally diverse students. They will have an explanation of the linkage between culture and students? mathematical cognition and problem solving?. The ease in which Leonard brings the reader along, and the caring way she tells a story about making mathematics a fun and social justice experience makes for an exciting learning opportunity for all students and teachers." Carl A. Grant, University Wisconsin-Madison, United States, From the Foreword "Mathematics educators are in a period of deep concern about our ability to educate all students in mathematics. Most students of color do not have the opportunities to fully learn mathematics. Nothing more important can be done for these students and their teachers than to publish this book addressing the miseducation of these students and offering a way to change what we are doing." Carol E. Malloy, University of North Carolina-Chapel Hill, United States This compelling text advocates the use of culturally specific pedagogy to enhance the mathematics instruction of diverse students. It accomplishes this by making clear the link between research and practice and offering lesson templates that teachers can use with ethnically and culturally diverse students and with females. Specifically, the text draws on sociocultural theory and research on culture and mathematics cognition to focus on three goals: using qualitative research to extend the literature on culturally based education to African American and Latina/o c



Ethnomathematics

Ethnomathematics Author Marcia Ascher
ISBN-10 9781351449502
Release 2017-12-01
Pages 214
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In this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or ""small-scale"", cultures often omitted from discussion of mathematics. Topics such as ""Numbers: Words and Symbols"", ""Tracing Graphs in the Sand"", ""The Logic of Kin Relations"", ""Chance and Strategy in Games and Puzzles"", and ""The Organization and Modeling of Space"" are traced in various cultures including the Inuit, Navajo, and Iroquois of North America; the Inca of South America; the Malekula, Warlpiri, Maori, and Caroline Islanders of Oceania, and the Tshokwe, Bushoong, and Kpelle of Africa. As Ascher explores mathematical ideas involving numbers, logic, spatial configuration, and the organization of these into systems and structures, readers gain both a broader understanding and anappreciation for the idease of other peoples.



Rethinking Logic Logic in Relation to Mathematics Evolution and Method

Rethinking Logic  Logic in Relation to Mathematics  Evolution  and Method Author Carlo Cellucci
ISBN-10 9789400760912
Release 2013-10-09
Pages 389
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This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically.