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Author: Arnold W. Harris
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 474
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Book Description
Author: Arnold W. Harris
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 474
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Book Description
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.
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)
Author: National Council of Teachers of Mathematics
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Author: F. J. Budden
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 250
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Book Description
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.
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.
Author: Marc Frantz
Publisher: Princeton University Press
ISBN: 140083905X
Category : Mathematics
Languages : en
Pages : 259
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Book Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Author: Noah Bryan Rosenberger
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 98
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Book Description
Author: Helen R. Pearson
Publisher:
ISBN: 9780663212071
Category : Geometry
Languages : en
Pages : 605
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Book Description
