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 shape and nature of the current geometry
curriculum by explaining how things have come to be as they are. Given
the limited access to first-hand accounts of the enacted geometry
curriculum during the past 150 years, the monograph relies on
textbooks to provide a record of the implemented curriculum at any
given point in time. Policy documents can provide insight into the
choices made in textbooks by hinting at the issues considered and the
recommendations made. The monograph 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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Produktdetaljer
ISBN
9781806619719
Publisert
2026
Utgiver
Emerald Publishing Ltd.
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter