The Mathematical Neighborhoods of School Mathematics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Mathematical Neighborhoods of School Mathematics PDF full book. Access full book title The Mathematical Neighborhoods of School Mathematics by Hyman Bass. Download full books in PDF and EPUB format.
Author: Hyman Bass Publisher: American Mathematical Society ISBN: 1470472473 Category : Mathematics Languages : en Pages : 364
Book Description
The Mathematical Neighborhoods of School Mathematics visits regions beyond, but proximal to and accessible from school mathematics. Its aim is to give readers a glimpse of not just the rich diversity and adaptability of mathematics, but, most importantly, its interconnections and overall coherence, a perspective not easily available from the school curriculum. This aim entailed assembling a variety of substantial mathematical domains that do not typically cohabit the same volume. The book begins with an in-depth treatment of topics in the school curriculum, often with novel approaches and connections. A unifying thread is the group theoretic study of addition and multiplication in the various number systems of school mathematics. The exposition is mathematically rigorous, including proofs of many fundamental theorems not otherwise easily available in mathematically accessible form. The Mathematical Neighborhoods of School Mathematics is intended to be a conceptual contribution to mathematics education. It will be a valuable resource in professional development of mathematics teachers, and in mathematical enrichment programs, for both students and teachers. In this regard, many of the chapters are relatively self-contained. It could also serve as a text for undergraduate mathematics majors with an interest in teaching. The exceptional Chapter 11 presents some novel instructional designs for problem-solving activities meant to cultivate “connection-oriented mathematical thinking.” Hyman Bass is the Samuel Eilenberg Distinguished University Professor of Mathematics and Mathematics Education at the University of Michigan. He is a member of the National Academy of Sciences and of the National Academy of Education. Jason Brasel, a former high school mathematics teacher, is a mathematics educator and researcher in secondary mathematics, who works at TeachingWorks, University of Michigan.
Author: Hyman Bass Publisher: American Mathematical Society ISBN: 1470472473 Category : Mathematics Languages : en Pages : 364
Book Description
The Mathematical Neighborhoods of School Mathematics visits regions beyond, but proximal to and accessible from school mathematics. Its aim is to give readers a glimpse of not just the rich diversity and adaptability of mathematics, but, most importantly, its interconnections and overall coherence, a perspective not easily available from the school curriculum. This aim entailed assembling a variety of substantial mathematical domains that do not typically cohabit the same volume. The book begins with an in-depth treatment of topics in the school curriculum, often with novel approaches and connections. A unifying thread is the group theoretic study of addition and multiplication in the various number systems of school mathematics. The exposition is mathematically rigorous, including proofs of many fundamental theorems not otherwise easily available in mathematically accessible form. The Mathematical Neighborhoods of School Mathematics is intended to be a conceptual contribution to mathematics education. It will be a valuable resource in professional development of mathematics teachers, and in mathematical enrichment programs, for both students and teachers. In this regard, many of the chapters are relatively self-contained. It could also serve as a text for undergraduate mathematics majors with an interest in teaching. The exceptional Chapter 11 presents some novel instructional designs for problem-solving activities meant to cultivate “connection-oriented mathematical thinking.” Hyman Bass is the Samuel Eilenberg Distinguished University Professor of Mathematics and Mathematics Education at the University of Michigan. He is a member of the National Academy of Sciences and of the National Academy of Education. Jason Brasel, a former high school mathematics teacher, is a mathematics educator and researcher in secondary mathematics, who works at TeachingWorks, University of Michigan.
Author: Patricio Felmer Publisher: Springer ISBN: 3319280236 Category : Education Languages : en Pages : 400
Book Description
This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.
Author: Roza Leikin Publisher: Springer Nature ISBN: 3031188683 Category : Education Languages : en Pages : 580
Book Description
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.
Author: Colin Conrad Adams Publisher: American Mathematical Soc. ISBN: 0821836781 Category : Mathematics Languages : en Pages : 330
Book Description
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Author: Stephen Barr Publisher: Courier Corporation ISBN: 048615274X Category : Mathematics Languages : en Pages : 244
Book Description
Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.
Author: Gizem Karaali Publisher: American Mathematical Soc. ISBN: 1470449269 Category : Juvenile Nonfiction Languages : en Pages : 288
Book Description
Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus.
Author: Ira Shor Publisher: Praeger ISBN: 0897891058 Category : Education Languages : en Pages : 0
Book Description
Two world renowned educators, Paulo Freire and Ira Shor, speak passionately about the role of education in various cultural and political arenas. They demonstrate the effectiveness of dialogue in action as a practical means by which teachers and students can become active participants in the learning process. In a lively exchange, the authors illuminate the problems of the educational system in relation to those of the larger society and argue for the pressing need to transform the classroom in both Third and First World contexts. Shor and Freire illustrate the possibilities of transformation by describing their own experiences in liberating the classroom from its traditional constraints. They demonstrate how vital the teacher's role is in empowering students to think critically about themselves and their relation, not only to the classroom, but to society. For those readers seeking a liberatory approach to education, these dialogues will be a revelation and a unique summary. For all those convinced of the need for transformation, this book shows the way.
Author: Brian Greer Publisher: Routledge ISBN: 1135593337 Category : Education Languages : en Pages : 464
Book Description
At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.
Author: Hector Rosario Publisher: World Scientific ISBN: 9811210624 Category : Mathematics Languages : en Pages : 295
Book Description
'The presentations gathered in this book offer plenty of ideas and advice for anyone seeking to start a program or affiliate with an existing one. In general, the authors do not compare their programs to those described in other chapters, but readers of the whole volume will identify significant commonalties across the various audiences, processes, obstacles, and outcomes described.Summing up: Recommended. All readers.'CHOICEThis groundbreaking anthology is a collection of accounts from leaders in mathematical outreach initiatives. The experiences range from prison education programs to alternative urban and Indian reservation classrooms across the United States, traversing the planet from the Americas to Africa, Asia, and the Indian subcontinent. Their common theme is the need to share meaningful and beautiful mathematics with disenfranchised communities across the globe.Through these stories, the authors share their educational philosophy, personal experiences, and student outcomes. They incorporate anecdotal vignettes since research articles in mathematics education often exclude them. The inclusion of these stories is an element that adds immeasurable value to the larger narratives they tell.
Author: Hyman Bass
Author: Hyman Bass
Author: Patricio Felmer
Author: Roza Leikin
Author: Colin Conrad Adams
Author: Stephen Barr
Author: Gizem Karaali
Author: Ira Shor
Author: Jo Boaler
Author: Brian Greer
Author: Hector Rosario