Mathematics Motivated by the Social and Behavioral Sciences

Mathematics Motivated by the Social and Behavioral Sciences

Author: Donald G. Saari

Publisher: SIAM

Published: 2018-02-06

Total Pages: 182

ISBN-13: 1611975182

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The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. ?Change,? for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches. These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the ?wrong? person could win), nonparametric statistical, and economic ?supply and demand? properties.


International Encyclopedia of the Social & Behavioral Sciences

International Encyclopedia of the Social & Behavioral Sciences

Author: James D. Wright

Publisher: Elsevier Science Limited

Published: 2015-03-26

Total Pages: 24030

ISBN-13: 9780080970868

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Fully revised and updated, the second edition of the International Encyclopedia of the Social and Behavioral Sciences, first published in 2001, offers a source of social and behavioral sciences reference material that is broader and deeper than any other. Available in both print and online editions, it comprises over 3,900 articles, commissioned by 71 Section Editors, and includes 90,000 bibliographic references as well as comprehensive name and subject indexes. Provides authoritative, foundational, interdisciplinary knowledge across the wide range of behavioral and social sciences fields Discusses history, current trends and future directions Topics are cross-referenced with related topics and each article highlights further reading


Attitudes, Beliefs, Motivation and Identity in Mathematics Education

Attitudes, Beliefs, Motivation and Identity in Mathematics Education

Author: Markku S. Hannula

Publisher: Springer

Published: 2016-06-14

Total Pages: 42

ISBN-13: 3319328115

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This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.


International Encyclopedia of Social & Behavioral Sciences

International Encyclopedia of Social & Behavioral Sciences

Author:

Publisher: Pergamon

Published: 2001-11-22

Total Pages: 0

ISBN-13: 9780080430768

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This Encyclopedia is the first attempt in a generation to map the social and behavioral sciences on a grand scale. Not since the publication in 1968 of the International Encyclopedia of the Social Sciences, edited by David L. Sills, has there been such an ambitious project to describe the state of the art in all the fields encompassed within the social and behavioral sciences. Available in both print (26 volumes) and online editions, it comprises 4,000 articles, commissioned by 52 Section Editors, and includes 90,000 bibliographic references as well as comprehensive name and subject indexes.


Mathematical Analyses of Decisions, Voting and Games

Mathematical Analyses of Decisions, Voting and Games

Author: Michael A. Jones

Publisher: American Mathematical Society

Published: 2024-03-25

Total Pages: 210

ISBN-13: 1470469782

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This volume contains the proceedings of the virtual AMS Special Session on Mathematics of Decisions, Elections and Games, held on April 8, 2022. Decision theory, voting theory, and game theory are three related areas of mathematics that involve making optimal decisions in different contexts. While these three areas are distinct, much of the recent research in these fields borrows techniques from other branches of mathematics such as algebra, combinatorics, convex geometry, logic, representation theory, etc. The papers in this volume demonstrate how the mathematics of decisions, elections, and games can be used to analyze problems from the social sciences.


Helping Children Learn Mathematics

Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.


Mathematics Instruction: Goals, Tasks And Activities - Yearbook 2018, Association Of Mathematics Educators

Mathematics Instruction: Goals, Tasks And Activities - Yearbook 2018, Association Of Mathematics Educators

Author: Pee Choon Toh

Publisher: World Scientific

Published: 2018-05-21

Total Pages: 286

ISBN-13: 981327168X

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The book, the tenth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore, comprises 14 chapters written by renowned researchers in mathematics education. The chapters offer mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks. Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students' learning of mathematics.This book contributes towards literature in the field of mathematics education, specifically on mathematics instruction and the design of mathematical tasks and activities.


Mathematical Mindsets

Mathematical Mindsets

Author: Jo Boaler

Publisher: John Wiley & Sons

Published: 2022-02-23

Total Pages: 324

ISBN-13: 1119823064

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Reverse mathematics trauma and find a universal blueprint for math success In Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching mathematics education expert and best-selling author Jo Boaler delivers a blueprint to banishing math anxiety and laying a foundation for mathematics success that anyone can build on. Perfect for students who have been convinced they are naturally "bad at math," the author offers a demonstration of how to turn self-doubt into self-confidence by relying on the "mindset" framework. Mathematical Mindsets is based on thousands of hours of in-depth study and research into the most effective—and ineffective—ways to teach math to young people. This new edition also includes: Brand-new research from the last five years that sheds brighter light on how to turn a fear of math into an enthusiastic desire to learn Developed ideas about ways to bring about equitable grouping in classrooms New initiatives to bring 21st century mathematics to K-12 classrooms Mathematical Mindsets is ideal for K-12 math educators. It also belongs on the bookshelves of the parents interested in helping their K-12 children with their math education, as well as school administrators and educators-in-training.


Essential Mathematics for Political and Social Research

Essential Mathematics for Political and Social Research

Author: Jeff Gill

Publisher: Cambridge University Press

Published: 2006-04-24

Total Pages: 449

ISBN-13: 0521834260

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"More than ever before, modern social scientists require a basic level of mathematical literacy, yet many students receive only limited mathematical training prior to beginning their research careers. This textbook addresses this dilemma by offering a comprehensive, unified introduction to the essential mathematics of social science. Throughout the book the presentation builds from first principles and eschews unnecessary complexity. Most importantly, the discussion is thoroughly and consistently anchored in real social science applications, with more than 80 research-based illustrations woven into the text and featured in end-of-chapter exercises. Students and researchers alike will find this first-of-its-kind volume to be an invaluable resource."--BOOK JACKET.