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Author: Reghinos D. Theocharis
Publisher: Springer
Published: 1993-06-18
Total Pages: 362
ISBN-13: 1349129925
DOWNLOAD EBOOKThis sequel to the author's "Early Development in Mathematical Economics" covers developments in this field after the appearance of Cournot's "Recherches" in 1838 and until the publication of Jevons' "Theory" in 1871.
Author: James P. Henderson
Publisher: Rowman & Littlefield
Published: 1996
Total Pages: 376
ISBN-13: 9780847682010
DOWNLOAD EBOOKConvinced that Ricardian concept of political economy, dominant among his contempories, was based on unscientific doctrines and dubious moral conclusions, William Whewell and his followers sought to transform scientific knowledge and to reform British education by applying mathematics to economics. James P. Henderson's comprehensive study argues that Whewell developed a strategy to challenge the growing dominance of the Ricardian paradigm by highlighting the errors in its deductive reasoning. Whewell's views on scientific methodology, moral philosophy, and educational doctrine influenced several generations of prominent mathematical economists, including Edward Rogers, Col. T. Perronet Thompson, John Edward Tozer, Sir John William Lubbock, and Dionysius Lardner. Along with Richard Jones, Whewell was instrumental in developing an inductive political economy based upon careful historical and statistical research. This study of Whewell's contributions to mathematical economics is important reading for students and scholars of economics and political economy.
Author: Reghinos D. Theocharis
Publisher: Springer
Published: 1983-06-18
Total Pages: 269
ISBN-13: 1349049492
DOWNLOAD EBOOKAuthor: Michael Hoy
Publisher: MIT Press
Published: 2001
Total Pages: 164
ISBN-13: 9780262582018
DOWNLOAD EBOOKThis text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.
Author: E. Roy Weintraub
Publisher: Duke University Press
Published: 2002-05-28
Total Pages: 329
ISBN-13: 0822383802
DOWNLOAD EBOOKIn How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.
Author: National Research Council
Publisher: National Academies Press
Published: 2009-11-13
Total Pages: 399
ISBN-13: 0309147433
DOWNLOAD EBOOKEarly childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
Author: Iliada Elia
Publisher: Springer
Published: 2018-02-21
Total Pages: 319
ISBN-13: 3319734326
DOWNLOAD EBOOKThis book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?
Author: Katherine M. Robinson
Publisher: Springer
Published: 2019-05-07
Total Pages: 273
ISBN-13: 3030128954
DOWNLOAD EBOOKThis book explores mathematical learning and cognition in early childhood from interdisciplinary perspectives, including developmental psychology, neuroscience, cognitive psychology, and education. It examines how infants and young children develop numerical and mathematical skills, why some children struggle to acquire basic abilities, and how parents, caregivers, and early childhood educators can promote early mathematical development. The first section of the book focuses on infancy and toddlerhood with a particular emphasis on the home environment and how parents can foster early mathematical skills to prepare their children for formal schooling. The second section examines topics in preschool and kindergarten, such as the development of counting procedures and principles, the use of mathematics manipulatives in instruction, and the impacts of early intervention. The final part of the book focuses on particular instructional approaches in the elementary school years, such as different additive concepts, schema-based instruction, and methods of division. Chapters analyze the ways children learn to think about, work with, and master the language of mathematical concepts, as well as provide effective approaches to screening and intervention. Included among the topics: The relationship between early gender differences and future mathematical learning and participation. The connection between mathematical and computational thinking. Patterning abilities in young children. Supporting children with learning difficulties and intellectual disabilities. The effectiveness of tablets as elementary mathematics education tools. Mathematical Learning and Cognition in Early Childhood is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, neuroscience, mathematics education, educational psychology, and social work.
Author: Birsen Filip
Publisher: Taylor & Francis
Published: 2022-10-24
Total Pages: 285
ISBN-13: 1000755509
DOWNLOAD EBOOKSince the latter half of the 20th century, the economics departments of American universities were internationally renowned for providing competitive and advanced levels of education. However, from the 1870s up until the beginning of WWI, German universities held international supremacy when it came to the quality of teaching, the enrollment of foreign students, and scholarly publications. This book examines the role of the German Historical School of Economics (GHSE) in the development of the discipline of economics in the US during this period. The chapters explain that, prior to the influence of the GHSE, political economy was in a dismal state in the US, both as a profession and an academic discipline. As a result, many Americans elected to go to Germany in pursuit of an advanced education in political economy, having been inspired by the unmatched international reputations of theorists of the GHSE. After they returned home, these German-trained Americans challenged the dominant status of classical orthodoxy and revolutionized the discipline of economics in the US by importing the ideas, methods, and approaches of the GHSE. In doing so, they established the first dedicated political economy departments, graduate programs, and chairs at American universities and colleges. Although the precise magnitude and value of the influence of the GHSE is impossible to quantify, there is no doubt that Americans are deeply indebted to this school of thought for its contributions to the early development of the discipline of economics in the US. The chapters also examine what has been lost since: the current mainstream in economics has eliminated many of the features that were once so important to the discipline that it has effectively limited contemporary economics to a small fraction of the complex organism defined by the German Historical School. This situation has facilitated the poverty of the leading economic school of thought, as well as the discipline of economics in general. This book represents a significant contribution to the literature on the history of economic thought and economic education in the US. It will be of particular interest to students and scholars of economics, political science, sociology, and the philosophy of economics.
Author: Robert B. Ekelund, Jr.
Publisher: Waveland Press
Published: 2013-08-30
Total Pages: 753
ISBN-13: 1478611065
DOWNLOAD EBOOKKnown for its clarity, comprehensiveness, and balance, the latest edition of A History of Economic Theory and Method continues that tradition of excellence. Ekelund and Hébert’s survey provides historical and international contexts for how economic models have served social needs throughout the centuries—beginning with the ancient Greeks through the present time. The authors not only trace ideas that have persisted but skillfully demonstrate that past, discredited ideas also have a way of spawning critical thinking and encouraging new directions in economic analysis. Coverage that distinguishes the Sixth Edition from its predecessors includes a detailed analysis of economic solutions by John Stuart Mill and Edwin Chadwick to problems raised by the Industrial Revolution; the role of psychology and “experiments” in understanding demand and consumer behavior; discussions of modern economic theory as it interrelates with other social sciences; and a close look at the historical development of the critical role of entrepreneurship, both in its productive and unproductive variants. The authors’ creative approach gives readers a feel for the thought processes of the great minds in economics and underscores key ideas impacting contemporary thought and practice. Well-crafted discussions are further enriched by absorbing examples and figures. Thorough suggested reading lists give options for more in-depth explorations by interested readers.
