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A Century of Advancing Mathematics
The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from...
Aspiring and Inspiring
Aspiring and Inspiring is a collection of essays from successful women and gender minority mathematicians on what it takes to build a career in mathematics. The individual essays are intended to advise, encourage, and inspire mathematicians throughout different stages of their careers. Themes emerge as these prominent individuals describe how they managed to persist and rise to positions of leadership in a field which can still be forbidding to many. We read, repeatedly, that individual mentorship matters, that networks of support can be critical, and that finding fulfillment can mean formulating one's own definition of success. Those who aspire to leadership in the field will find much usef...
Social Studies for the Elementary and Middle Grades
Discusses flexible strategies for teaching today's diverse learner the structure of the knowledge to be learned, how to help students reconstruct and present ideas, and how to translate theory and recent research into lesson plans and units. All within a constructivist framework! September 9 2013 - Ingrid Robinson took this book off the CRC shelf and asked that it be added to the Reserve Books Shelf.
Social Studies in Elementary Education
The author wrote this new edition of the most popular elementary social studies methods text on the market with the following three goals in mind: to present the most powerful social studies content and pedagogy for children in elementary school, to offer the material in simple and accessible ways, and to write in a first person active voice. The purpose of this book is to introduce new teachers to the world of social studies teaching and learning in elementary and middle schools. Geography, history, government and the other social sciences are delivered into the palm of the new teacher’s hand along with a suite of tools for bringing social studies to life in the classroom. The book is org...
Integrating Curricular and Co-Curricular Endeavors to Enhance Student Outcomes
Integrating Curricular and Co-Curricular Endeavors to Enhance Student Outcomes reports on innovative approaches taken in universities in a number of nations of their experience in bringing together learning in courses with learning in co- and extracurricular activities.
Expanding Underrepresented Minority Participation
In order for the United States to maintain the global leadership and competitiveness in science and technology that are critical to achieving national goals, we must invest in research, encourage innovation, and grow a strong and talented science and technology workforce. Expanding Underrepresented Minority Participation explores the role of diversity in the science, technology, engineering and mathematics (STEM) workforce and its value in keeping America innovative and competitive. According to the book, the U.S. labor market is projected to grow faster in science and engineering than in any other sector in the coming years, making minority participation in STEM education at all levels a na...
Women in Mathematics
This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical cultur...
Formal Knot Theory
This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author, Louis H. Kauffman, is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. Kauffman draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. Featured topics include state, trails, and the clock theorem; state polynomials and the duality conjecture; knots and links; axiomatic link calculations; spanning surfaces; the genus of alternative links; and ribbon knots and the Arf invariant. Key concepts are related in easy-to-remember terms, and numerous helpful diagrams appear throughout the text. The author has provided a new supplement, entitled "Remarks on Formal Knot Theory," as well as his article, "New Invariants in the Theory of Knots," first published in The American Mathematical Monthly, March 1988.
Racism and Education
This book challenges the dominant assumptions and attitudes that shape education and is the first major study in the UK to adopt 'Critical Race Theory' – a radical new perspective on the nature of racism and public policy.
Tensor Categories
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving...
