Journal ArticleDOI
The Mathematical Experience.
TLDR
This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about and will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications.Abstract:
Winner of the 1983 National Book Award! \"...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor...\" - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request.read more
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Journal ArticleDOI
Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint):
TL;DR: A review of the literature on problem solving and metacognition can be found in this article, where the authors outline and substantiate a broad conceptualization of what it means to think mathematically, summarize the literature relevant to understanding mathematical thinking and problem solving, and point to new directions in research, development and assessment.
Book
The Rhetoric of Economics
TL;DR: McCloskey as discussed by the authors describes how economic discourse employs metaphor, authority, symmetry, and other rhetorical means of persuasion, showing economists to be human persuaders and poets of the marketplace, even in their most technical and mathematical moods.
Journal ArticleDOI
On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
TL;DR: In this article, a theoretical framework for investigating the role of algorithms in mathematical thinking is presented, and it is shown that the processes of learning and of problem-solving consist in an intricate interplay between operational and structural conceptions of the same notions.
Journal ArticleDOI
Sociomathematical Norms, Argumentation, and Autonomy in Mathematics
Erna Yackel,Paul Cobb +1 more
TL;DR: The sociomathematical norms of mathematics classrooms have been investigated in this article, where a second-grade classroom where mathematics instruction generally followed an inquiry tradition are used to clarify the processes by which sociomatical norms are interactively constituted and illustrate how these norms regulate mathematical argumentation and influence learning opportunities for both the students and the teacher.
Book
Philosophy of Education
TL;DR: In this paper, the authors discuss the philosophy of education before the Twentieth Century, including the meaning and aims of education, and the role of education in the development of education systems.