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The Nature of Mathematical Thinking
  • Language: en
  • Pages: 356

The Nature of Mathematical Thinking

  • Type: Book
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  • Published: 2012-10-12
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  • Publisher: Routledge

Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple view...

Gender Differences in Mathematics
  • Language: en
  • Pages: 333

Gender Differences in Mathematics

Females consistently score lower than males on standardized tests of mathematics - yet no such differences exist in the classroom. These differences are not trivial, nor are they insignificant. Test scores help determine entrance to college and graduate school and therefore, by extension, a person's job and future success. If females receive lower test scores then they also receive fewer opportunities. Why does this discrepancy exist? This book presents a series of papers that address these issues by integrating the latest research findings and theories. Authors such as Diane Halpern, Jacquelynne Eccles, Beth Casey, Ronald Nuttal, James Byrnes, and Frank Pajares tackle these questions from a variety of perspectives. Many different branches of psychology are represented, including cognitive, social, personality/self-oriented, and psychobiological. The editors then present an integrative chapter that discusses the ideas presented and other areas that the field should explore.

Complex Cognition
  • Language: en
  • Pages: 450

Complex Cognition

The other, a contrasting and more contemporary approach, is the model of "bounded rationality," according to which people are surprisingly irrational, or at best arational, in their thinking, often deriving ill-conceived shortcuts that lead them to wrong conclusions. This text is a synthesis of these two approaches, combining the best elements of each to offer a radically inclusive new theory. It emphasizes multiple points of view, including the objective, but also the subjective views of the self and others.

Understanding and Teaching the Intuitive Mind
  • Language: en
  • Pages: 316

Understanding and Teaching the Intuitive Mind

  • Type: Book
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  • Published: 2001-01-01
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  • Publisher: Routledge

The intuitive mind is a powerful force in the classroom and often an undetected one. Intuitive conceptions--knowledge or knowledge-structures that individuals acquire and use largely without conscious reflection or explicit instruction--sometimes work to facilitate learning in the classroom and other contexts. But learning may also be impeded by intuitive conceptions, and they can be difficult to dislodge as needed. The literatures in psychology and education include a large and diverse body of theory and research on intuitive conceptions, but this work is limited in some respects. This volume contributes in four ways to overcome these limitations. Understanding and Teaching the Intuitive Mi...

Thinking Visually
  • Language: en
  • Pages: 238

Thinking Visually

Language is a marvelous tool for communication, but it is greatly overrated as a tool for thought. This volume documents the many ways pictures, visual images, and spatial metaphors influence our thinking. It discusses both classic and recent research that support the view that visual thinking occurs not only where we expect to find it, but also where we do not. Much of comprehending language, for instance, depends on visual simulations of words or on spatial metaphors that provide a foundation for conceptual understanding. Thinking Visually supports comprehension by reducing jargon and by providing many illustrations, educational applications, and problems for readers to solve. It provides ...

Stigma and Group Inequality
  • Language: en
  • Pages: 348

Stigma and Group Inequality

This book is intended to be a resource for students, a guide for future researchers, and a call to concerned citizens to use this wealth of information to guide their own efforts to mitigate the pernicious effects of stigma in their daily lives.

Essays on Mathematical Reasoning
  • Language: en

Essays on Mathematical Reasoning

This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible characterize the intended models of mathematical theories in a unique way?

What Works
  • Language: en
  • Pages: 400

What Works

Gender equality is a moral and a business imperative. But unconscious bias holds us back and de-biasing minds has proven to be difficult and expensive. Behavioral design offers a new solution. Iris Bohnet shows that by de-biasing organizations instead of individuals, we can make smart changes that have big impacts—often at low cost and high speed.

The Handbook of Mathematical Cognition
  • Language: en
  • Pages: 528

The Handbook of Mathematical Cognition

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Simple Heuristics that Make Us Smart
  • Language: en
  • Pages: 432

Simple Heuristics that Make Us Smart

Simple Heuristics That Make Us Smart invites readers to embark on a new journey into a land of rationality that differs from the familiar territory of cognitive science and economics. Traditional views of rationality tend to see decision makers as possessing superhuman powers of reason, limitless knowledge, and all of eternity in which to ponder choices. To understand decisions in the real world, we need a different, more psychologically plausible notion of rationality, and this book provides it. It is about fast and frugal heuristics--simple rules for making decisions when time is pressing and deep thought an unaffordable luxury. These heuristics can enable both living organisms and artific...