USA Through the Lens of Mathematics

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Author :
Publisher : CRC Press
ISBN 13 : 1000486214
Total Pages : 248 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis USA Through the Lens of Mathematics by : Natali Hritonenko

Download or read book USA Through the Lens of Mathematics written by Natali Hritonenko and published by CRC Press. This book was released on 2021-12-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students’ critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge. The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts. This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country’s heritage. The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

USA Through the Lens of Mathematics

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Publisher :
ISBN 13 : 9781000486230
Total Pages : 0 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis USA Through the Lens of Mathematics by : Natali Hritonenko

Download or read book USA Through the Lens of Mathematics written by Natali Hritonenko and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students' critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge. The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts. This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country's heritage. The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

The World through the Lens of Mathematics

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Author :
Publisher : CRC Press
ISBN 13 : 1040089119
Total Pages : 315 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis The World through the Lens of Mathematics by : Natali Hritonenko

Download or read book The World through the Lens of Mathematics written by Natali Hritonenko and published by CRC Press. This book was released on 2024-09-04 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hundreds of meticulously crafted mathematical problems and puzzles in this book are incorporated into fascinating stories about our world. These wor(l)d problems are grouped by their mathematical concepts such that the titles of sections and chapters combine both mathematical and applied terms, hinting at the topics covered. Detailed solutions conclude each section. Following in the success of the authors’ previous book, USA Through the Lens of Mathematics, this text contributes to the novel pedagogical call for a more multidisciplinary approach in education. The various types of questions posed in The World through the Lens of Mathematics are stimulating, entertaining, and educational. Their main objective is to provide a thorough review of the fundamental concepts of algebra and geometry, reduce mathematical anxiety, and emphasize the applicability and versatility of mathematics. Working these problems shatters the barriers between the students and mathematics by encouraging them to look at the subject from a different perspective. Students are simultaneously enriched with new knowledge of historical events, customs, and geography of countries around the world, each one of which is mentioned throughout the pages of this book.

USA Through the Lens of Mathematics

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Publisher :
ISBN 13 : 9781003229889
Total Pages : 0 pages
Book Rating : 4.2/5 (298 download)

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Book Synopsis USA Through the Lens of Mathematics by : Natali Hritonenko

Download or read book USA Through the Lens of Mathematics written by Natali Hritonenko and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students' critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge. The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts. This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country's heritage. The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

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Author :
Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Building Thinking Classrooms in Mathematics, Grades K-12

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3319025058
Total Pages : 219 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics by : M.A. (Ken) Clements

Download or read book Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics written by M.A. (Ken) Clements and published by Springer. This book was released on 2014-11-19 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson’s quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America. The book describes a remarkable study showing how the United States’ decision to adopt a fully decimalized, carefully conceived national currency ultimately had a profound effect on U.S. school mathematics curricula. The book shows, by analyzing a large set of arithmetic textbooks and an even larger set of handwritten cyphering books, that although most eighteenth- and nineteenth-century authors of arithmetic textbooks included sections on vulgar and decimal fractions, most school students who prepared cyphering books did not study either vulgar or decimal fractions. In other words, author-intended school arithmetic curricula were not matched by teacher-implemented school arithmetic curricula. Amazingly, that state of affairs continued even after the U.S. Mint began minting dollars, cents and dimes in the 1790s. In U.S. schools between 1775 and 1810 it was often the case that Federal money was studied but decimal fractions were not. That gradually changed during the first century of the formal existence of the United States of America. By contrast, Chapter 6 reports a comparative analysis of data showing that in Great Britain only a minority of eighteenth- and nineteenth-century school students studied decimal fractions. Clements and Ellerton argue that Jefferson’s success in establishing a system of decimalized Federal money had educationally significant effects on implemented school arithmetic curricula in the United States of America. The lens through which Clements and Ellerton have analyzed their large data sets has been the lag-time theoretical position which they have developed. That theory posits that the time between when an important mathematical “discovery” is made (or a concept is “created”) and when that discovery (or concept) becomes an important part of school mathematics is dependent on mathematical, social, political and economic factors. Thus, lag time varies from region to region, and from nation to nation. Clements and Ellerton are the first to identify the years after 1775 as the dawn of a new day in U.S. school mathematics—traditionally, historians have argued that nothing in U.S. school mathematics was worthy of serious study until the 1820s. This book emphasizes the importance of the acceptance of decimal currency so far as school mathematics is concerned. It also draws attention to the consequences for school mathematics of the conscious decision of the U.S. Congress not to proceed with Thomas Jefferson’s grand scheme for a system of decimalized weights and measures.

Supermath

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Author :
Publisher : JHU Press
ISBN 13 : 1421438208
Total Pages : 235 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Supermath by : Anna Weltman

Download or read book Supermath written by Anna Weltman and published by JHU Press. This book was released on 2020-09-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the hidden powers of math that shape us, influencing everything from our sense of justice to our perception of beauty. Archaeologists decoding ancient messages. Epidemiologists analyzing the spread of a contagious disease. African Americans seeking full enfranchisement in a society that has worked to exclude them. A family doing puzzles at the kitchen table. These scenarios seem to have little in common. But in fact, each of these groups is faced with a multifaceted challenge—and each is using math to solve it. In Supermath, popular author and educator Anna Weltman showcases the incredible power of mathematics when people apply it outside of the world of pure numbers, introducing it into the realms of science, politics, history, education, and art. Her stories share how math has protected us from war and disease, helped us communicate across time and space, and made the world a fairer and more beautiful place. But Weltman also warns us that dangers arise when the transformative might of numbers goes unchecked. Mathematics has been used to mistranslate records, silence indigenous communities, create gerrymandered voting districts, close the gates of higher education. Sometimes, math can blind those who wield it to its limitations, causing those who would deploy it to solve problems to instead create more. Drawing on history and current events, Weltman tackles five fascinating questions: Is math the universal language? Can math eliminate bias? Can math predict the next move? Can math open doors? And finally, What is genuine beauty? Supermath is an enlightening book that pursues complex lines of mathematical thought while providing a fascinating lens into global problems and human culture as a whole.

Critical Race Theory in Mathematics Education

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Author :
Publisher : Routledge
ISBN 13 : 1351356151
Total Pages : 326 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Critical Race Theory in Mathematics Education by : Julius Davis

Download or read book Critical Race Theory in Mathematics Education written by Julius Davis and published by Routledge. This book was released on 2019-04-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical Race Theory in Mathematics Education brings together scholarship that uses critical race theory (CRT) to provide a comprehensive understanding of race, racism, social justice, and experiential knowledge of African Americans’ mathematics education. CRT has gained traction within the educational research sphere, and this book extends and applies this framework to chronicle the paths of mathematics educators who advance and use CRT. This edited collection brings together scholarship that addresses the racial challenges thrusted upon Black learners and the gatekeeping nature of the discipline of mathematics. Across the ten chapters, scholars expand the uses of CRT in mathematics education and share insights with stakeholders regarding the racialized experiences of mathematics students and educators. Collectively, the volume explains how researchers, practitioners, and policymakers can use CRT to examine issues of race, racism, and other forms of oppression in mathematics education for Black children and adults.

Common Core Mathematics Standards and Implementing Digital Technologies

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Publisher : IGI Global
ISBN 13 : 1466640871
Total Pages : 448 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Common Core Mathematics Standards and Implementing Digital Technologies by : Polly, Drew

Download or read book Common Core Mathematics Standards and Implementing Digital Technologies written by Polly, Drew and published by IGI Global. This book was released on 2013-05-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection.

Transforming Mathematics Instruction

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Publisher : Springer
ISBN 13 : 3319049933
Total Pages : 581 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Transforming Mathematics Instruction by : Yeping Li

Download or read book Transforming Mathematics Instruction written by Yeping Li and published by Springer. This book was released on 2014-07-05 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Reckonings

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Publisher : MIT Press
ISBN 13 : 026236087X
Total Pages : 265 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Reckonings by : Stephen Chrisomalis

Download or read book Reckonings written by Stephen Chrisomalis and published by MIT Press. This book was released on 2020-12-15 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.

The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes

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Author :
Publisher : IAP
ISBN 13 : 1681232790
Total Pages : 1800 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes by : Bharath Sriraman

Download or read book The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes written by Bharath Sriraman and published by IAP. This book was released on 2015-08-01 with total page 1800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

The Proceedings of the 12th International Congress on Mathematical Education

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Author :
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Inside the Mathematics Class

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Author :
Publisher : Springer
ISBN 13 : 3319790455
Total Pages : 341 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Inside the Mathematics Class by : Uwe Gellert

Download or read book Inside the Mathematics Class written by Uwe Gellert and published by Springer. This book was released on 2018-09-26 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a forward–looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education. The first perspective has generated a substantial body of knowledge in the mathematics education. Interactionist research has deepened our understanding of interaction processes, socio-mathematical norms and the negotiation of meaning, generating a ‘micro-sociology’ or a ‘micro-ethnography’ of the mathematics classroom. More recently, socio-political perspectives on mathematics education interrelate educational practices in mathematics with macro-social issues of social equity, class, and race and with the policies that regulate institutionalized mathematics education. This book documents, strings together and juxtaposes research that uses ethnographical classroom data to explain, on the one hand, how socio-political issues play out in the mathematics class. On the other hand, it illuminates how class, race etc. affect the micro-sociology of the mathematics classroom. The volume advances the knowledge in the field by providing an empirical grounding of socio-political research on mathematics education, and it extends the frame in which mathematical classroom cultures are conceived.

Living Proof

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Publisher :
ISBN 13 : 9781470452810
Total Pages : 136 pages
Book Rating : 4.4/5 (528 download)

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Book Synopsis Living Proof by : Allison K. Henrich

Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

I, Mathematician

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Author :
Publisher : The Mathematical Association of America
ISBN 13 : 0883855852
Total Pages : 289 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis I, Mathematician by : Peter Casazza

Download or read book I, Mathematician written by Peter Casazza and published by The Mathematical Association of America. This book was released on 2015-03-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.