Geometry Learning Contracts--Understanding Geometric Constructions

Geometry Learning Contracts--Understanding Geometric Constructions

Author: Wendy Conklin

Publisher: Teacher Created Materials

Published: 2014-02-01

Total Pages: 11

ISBN-13: 1425878601

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This learning contract lesson allows learners to work at their own paces in a flexible learning environment. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing learning contracts.


Geometry Learning Contracts--Shaping Up!

Geometry Learning Contracts--Shaping Up!

Author: Wendy Conklin

Publisher: Teacher Created Materials

Published: 2014-02-01

Total Pages: 15

ISBN-13: 1425878598

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This learning contract lesson allows learners to work at their own paces in a flexible learning environment. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing learning contracts.


Geometric Constructions

Geometric Constructions

Author: George E. Martin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 210

ISBN-13: 1461206294

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Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.


Advanced Geometric Constructions

Advanced Geometric Constructions

Author: Alfred S. Posamentier

Publisher: Dale Seymour Publication

Published: 1988

Total Pages: 102

ISBN-13: 9780866514293

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19 basic straightedge and compass constructions and construction solutions to algebraic equations. Also explores triangle, circle, and non-compass constructions. Many proofs, exercises and problems.


Constructions

Constructions

Author: Tammy Pelli

Publisher:

Published: 2004-02

Total Pages: 0

ISBN-13: 9781930820432

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Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.


Hands-On Geometry

Hands-On Geometry

Author: Christopher M. Freeman

Publisher: Routledge

Published: 2010-01-15

Total Pages: 0

ISBN-13: 9781593634186

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Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; construct perpendicular lines and rectangles, parallel lines, and parallelograms; and construct a regular pentagon and a golden rectangle.


Geometry Learning Contracts--Rational Expressions

Geometry Learning Contracts--Rational Expressions

Author: Wendy Conklin

Publisher: Teacher Created Materials

Published: 2014-02-01

Total Pages: 8

ISBN-13: 142587861X

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This learning contract lesson allows learners to work at their own paces in a flexible learning environment. Written specifically for mathematics teachers, this lesson helps facilitate the understanding and process of writing learning contracts.


Fundamentals of Geometry Construction

Fundamentals of Geometry Construction

Author: Jorge Angeles

Publisher: Springer Nature

Published: 2020-04-18

Total Pages: 182

ISBN-13: 3030431312

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The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.