Commodity Exports and the Adding-up Problem in LDCs
Title | Commodity Exports and the Adding-up Problem in LDCs PDF eBook |
Author | Maurice W. Schiff |
Publisher | World Bank Publications |
Pages | 38 |
Release | 1994 |
Genre | Developing countries |
ISBN |
The Marginal Productivity Theory of Distribution
Title | The Marginal Productivity Theory of Distribution PDF eBook |
Author | John Pullen |
Publisher | Routledge |
Pages | 265 |
Release | 2009-06-26 |
Genre | Business & Economics |
ISBN | 1134010885 |
The Marginal Productivity Theory of Distribution (MPTD) claims that in a free-market economy the demand for a factor of production will depend upon its marginal product – where "marginal product" is defined as the change in total product that is caused by, or that follows, the addition or subtraction of the marginal unit of the factor used in the production process, with all other inputs held constant. From its inception in the early nineteenth century the MPTD has been claimed by some economists to be a solution to the ethical problem of distributive justice, i.e. to be a means of determining fairness in wages, profits, interest and rent. Other economists have rejected this ethical claim, but have seen the MPTD as a valid demand-side criterion in the determination of equilibrium and efficiency. This book argues that the MPTD is valid, neither as a normative theory of social justice, nor as a positive law of economics. It suggests that economics is yet to develop a satisfactory theory of distribution that is scientific in the quantitative or mathematical sense. Through a survey of the origin and subsequent evolution of the MPTD in the writings of over 50 contributors over 150 years, John Pullen presents a critical history of the concept. The book begins by examining the conceptual tools that have been deployed to facilitate this analysis of past contributions to the MPTD and then looks at various economists and their contribution to the debate including its supporters such as Wicksteed, Marshall, Wicksell and Stigler, and its critics such as Pareto, Hobson, Edgeworth, Adriance and Cassel.
Adding It Up
Title | Adding It Up PDF eBook |
Author | National Research Council |
Publisher | National Academies Press |
Pages | 462 |
Release | 2001-11-13 |
Genre | Education |
ISBN | 0309132843 |
Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.
Problem Solving
Title | Problem Solving PDF eBook |
Author | S. Ian Robertson |
Publisher | Psychology Press |
Pages | 296 |
Release | 2001 |
Genre | Education |
ISBN | 9780415203005 |
Problem solving is an integral part of everyday life yet few books are dedicated to this important aspect of human cognition. In each case, the problem, such as solving a crossword or writing an essay, has a goal. In this comprehensive and timely textbook, the author discusses the psychological processes underlying such goal-directed problem solving, and examines both how we learn from experience of problem solving and how our learning transfers (or often fails to transfer) from one situation to another. Following initial coverage of the methods we use to solve unfamiliar problems, the book goes on to examine the psychological processes involved in novice problem solving before progressing to the methods and processes used by skilled problem solvers or "experts". Topics covered include: how we generate a useful representation of a problem as a starting point; general problem solving strategies we use in unfamiliar situations; possible processes involved in insight or lateral thinking; the nature of problem similarity and the role of analogies in problem solving; understanding and learning from textbooks; and how we develop expertise through the learning of specific problem solving skills. Clear, up-to-date and accessible, Problem Solving will be of interest to undergraduates and postgraduates in cognitive psychology, cognitive science, and educational psychology. The focus on the practical transfer of learning through problem solving will also make it of relevance to educationalists and business psychologists.
Geometry in Problems
Title | Geometry in Problems PDF eBook |
Author | Alexander Shen |
Publisher | American Mathematical Soc. |
Pages | 229 |
Release | 2016 |
Genre | Juvenile Nonfiction |
ISBN | 1470419211 |
Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. What a joy! Shen's ``Geometry in Problems'' is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. --James Tanton, Mathematician-at-Large, Mathematical Association of America We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. --Mark Saul, Director of Competitions, Mathematical Association of America
The Man Who Knew Infinity
Title | The Man Who Knew Infinity PDF eBook |
Author | Robert Kanigel |
Publisher | Simon and Schuster |
Pages | 464 |
Release | 2016-04-26 |
Genre | Biography & Autobiography |
ISBN | 1476763496 |
A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.
Fiscal Equalization
Title | Fiscal Equalization PDF eBook |
Author | Jorge Martinez-Vazquez |
Publisher | Springer Science & Business Media |
Pages | 495 |
Release | 2007-05-16 |
Genre | Business & Economics |
ISBN | 0387489886 |
In this book, experts from across the globe highlight the state of knowledge in intergovernmental transfer design. The essays collected in the volume represent creative new thinking about challenging policy issues and offer useful options for policy makers. The book offers academics and practitioners a thorough, thematic assessment of unresolved issues in the design of equalization grants.