The place of geometry in a contemporary mathematics curriculum

The place of geometry in a contemporary mathematics curriculum PDF Author: Arnold W. Harris
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 474

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Book Description

The place of geometry in a contemporary mathematics curriculum

The place of geometry in a contemporary mathematics curriculum PDF Author: Arnold W. Harris
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 474

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Book Description


Contemporary Mathematics in Context

Contemporary Mathematics in Context PDF Author: Arthur F. Coxford
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 70

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Book Description
Contemporary Mathematics in Context is a four-year, integrated mathematics program developed by the Core-Plus Mathematics Project (CPMP) at the Everyday Learning Corporation. The program features student and teacher materials for a three-year core curriculum for all students as well as a fourth-year course continuing the preparation of students for college mathematics. The materials were designed to implement the vision of high school mathematics as portrayed in the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics and Professional Standards for Teaching Mathematics. This booklet provides an overview of the curriculum, presents information about the implementation the curriculum, and offers suggestions for managing the classroom activities and assessment. (ASK)

The History of the Geometry Curriculum in the United States

The History of the Geometry Curriculum in the United States PDF Author: Nathalie Sinclair
Publisher: IAP
ISBN: 1607527308
Category : Education
Languages : en
Pages : 114

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Book Description
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.

The Four Pillars of Geometry

The Four Pillars of Geometry PDF Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

The Place of Mathematics in Modern Education

The Place of Mathematics in Modern Education PDF Author: National Council of Teachers of Mathematics
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 278

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Book Description


Mathematics Through Geometry

Mathematics Through Geometry PDF Author: F. J. Budden
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 250

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Book Description


Contemporary Environmental and Mathematics Education Modelling Using New Geometric Approaches

Contemporary Environmental and Mathematics Education Modelling Using New Geometric Approaches PDF Author: Susan Gerofsky
Publisher: Springer
ISBN: 3319725238
Category : Education
Languages : en
Pages : 140

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Book Description
This book takes a fresh approach to using educational tools to solve profound problems in societies. The authors bring perspectives from curriculum studies, mathematics education, environmental education, and Indigenous epistemologies to a new consideration of “geometries to think with”. These tools reveal the wealth of resources and interrelationships in our world that have the potential to reconfigure and revitalize education. The transdisciplinary nature of the chapters and authors emphasizes the need for thinking beyond boundaries, while respecting the wisdom inherent in intellectual disciplines and traditions.

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools PDF Author: Patricio Herbst
Publisher: Springer
ISBN: 9783319774756
Category : Education
Languages : en
Pages : 386

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Book Description
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

Geometry of Submanifolds

Geometry of Submanifolds PDF Author: Bang-Yen Chen
Publisher: Courier Dover Publications
ISBN: 0486832783
Category : Mathematics
Languages : en
Pages : 193

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Book Description
The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.

The Teaching of Statistics

The Teaching of Statistics PDF Author: Robert Morris
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 278

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Book Description