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The History of the Geometry Curriculum in the United States (Paperback, New)
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The History of the Geometry Curriculum in the United States (Paperback, New)
Series: Research in Mathematics Education
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A volume in Research in Mathematics Education Series Editor Barbara
J. Dougherty, University of Mississippi This volume investigates
the evolution of the geometry curriculum in the United States over
the past 150 years. A primary goal is to increase awareness of the
nature of the current geometry curriculum by investigating the
historical, mathematical and pedagogical influences that it has
sustained since its inception. Given the limited access to
first-hand accounts of the enacted geometry curriculum during the
past 150 years, the book relies on textbooks to provide a record of
the implemented curriculum at any given point in time and on policy
documents and journal articles to provide insight into the
prevalent issues and arguments of the day. The book is organized in
a chronological sequence of ""notable events"" leading to
discernable changes in thinking about the geometry curriculum over
the past century and a half-roughly the extent of time during which
geometry has been taught in American schools. Notable events
include important reports or commissions, influential texts, new
schools of thought, and developments in learning technologies.
These events affected, among other things: content and aims of the
geometry curriculum; the nature of mathematical activity as
construed by both mathematicians and mathematics educators; and,
the resources students are given for engaging in mathematical
activity. Before embarking through the notable events, it is
necessary to consider the ""big bang"" of geometry, namely the
moment in time that shaped the future life of the geometry
curriculum. This corresponds to the emergence of Euclidean
geometry. Given its influence on the shape of the geometry
curriculum, familiarity with the nature of the geometry articulated
in Euclid's Elements is essential to understanding the many
tensions that surround the school geometry curriculum. Several
themes emerge over the course of the monograph, and include: the
aims and means of the geometry curriculum, the importance of proof
in geometry, the role of visualization and tactile experiences, the
fusion between solid and plane geometry, the curricular connections
between geometry and algebra, and the use of motion and continuity.
The intended audience would include curriculum developers,
researchers, teachers, and curriculum supervisors.
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