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18 Results Found For: Mathematics
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The Parthenon and Liberal Education
The Parthenon and Liberal Education (March 2018)
Geoff Lehman - Author
Michael Weinman - Author

Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.

The Parthenon and Liberal Education seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael Weinman turn to Philolaus, a near contemporary of Socrates. The authors demonstrate the influ...(Read More)
 
 
The Metaphysics of the Pythagorean Theorem
The Metaphysics of the Pythagorean Theorem (June 2017)
Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles
Robert Hahn - Author

Explores Thales’s speculative philosophy through a study of geometrical diagrams.

Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they retur...(Read More)
 
 
Inventing the Mathematician
Inventing the Mathematician (March 2016)
Gender, Race, and Our Cultural Understanding of Mathematics
Sara N. Hottinger - Author

Considers how our ideas about mathematics shape our individual and cultural relationship to the field.

Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of m...(Read More)
 
 
Beyond Banneker
Beyond Banneker (June 2014)
Black Mathematicians and the Paths to Excellence
Erica N. Walker - Author

An in-depth look at the lives, experiences, and professional careers of Black mathematicians in the United States.

Erica N. Walker presents a compelling story of Black mathematical excellence in the United States. Much of the research and discussion about Blacks and mathematics focuses on underachievement; by documenting in detail the experiences of Black mathematicians, this book broadens significantly the knowl...(Read More)
 
 
Briefings on Existence
Briefings on Existence (March 2006)
A Short Treatise on Transitory Ontology
Alain Badiou - Author
Norman Madarasz - Translated, edited, and with an introduction by

Explores the link between mathematics and ontology.

This book continues Alain Badiou’s project to posit an integral link between mathematics and ontology. Originally published as part of a trilogy in 1998, Briefings on Existence engages the ideas of Deleuze, Spinoza, Plato, Aristotle, and Kant and outlines how the philosophical inquiry into Being and existence converges with the possible world topology ...(Read More)
 
 
Middle Grade Teachers' Mathematical Knowledge and Its Relationship to Instruction
Middle Grade Teachers' Mathematical Knowledge and Its Relationship to Instruction (July 1998)
A Research Monograph
Judith Sowder - Author
Randolph A. Philipp - Author
Barbara E. Armstrong - Author
Bonnie P. Schappelle - Author

Investigates how middle grade teachers' deeper understanding of the mathematics of number, quantity, and proportion influences the way they teach and the way students learn.

The outcome of a two-year investigation, this book shows how teachers' understanding of the mathematics of number, quantity, and proportion influences how they teach and what their students learn of the concepts, skills, and reasoning associated wit...(Read More)
 
 
Social Constructivism as a Philosophy of Mathematics
Social Constructivism as a Philosophy of Mathematics (November 1997)
Paul Ernest - Author

Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.

Proposing social constructivism as a novel philosophy of mathematics, this book is inspired by current work in sociology of knowledge and social studies of science. It extends the ideas of soc...(Read More)
 
 
Ethnomathematics
Ethnomathematics (April 1997)
Challenging Eurocentrism in Mathematics Education
Arthur B. Powell - Editor
Marilyn Frankenstein - Editor

Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.

This collection brings together classic, previously published articles and new research to present the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathemati...(Read More)
 
 
Providing a Foundation for Teaching Mathematics in the Middle Grades
Providing a Foundation for Teaching Mathematics in the Middle Grades (August 1995)
Judith Sowder - Editor
Bonnie P. Schappelle - Editor

This book provides middle school teachers with a firm pedagogical foundation based on the manner in which students learn the mathematics being taught.
This book is written primarily for middle grade teachers who are discovering that they now want to teach in ways that create positive mathematical learning environments and instigate rich classroom discourse. Many of these teachers are finding that their mathematical preparation did not ad...(Read More)
 
 
What Number Is God?
What Number Is God? (July 1995)
Metaphors, Metaphysics, Metamathematics, and the Nature of Things
Sarah Voss - Author

This book uses modern mathematical metaphors to better understand religion and philosophy.
"Voss's work is probing, suggestive, easy to read. She's done masterful work of bringing together disparate fields--a nice blend of science, philosophy, and religion. It shows extremely good use of a wide-range of significant sources. Original. Sincere." --A. Pav, Eckerd College

"The focus on science and religion alone would place this book i...(Read More)
 
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