Books
Geometry Expressions eBook Bundle
by: Various Authors
PDF eBook (digital download) $79.95
The Geometry Expressions eBook bundle includes PDF versions of the following books:
- The Tortoise and Achilles: using Geometry Expressions to investigate the infinite
- Calculus Explorations With Geometry Expressions
- The Farmer and the Mathematician: using Geometry Expressions and Google Earth to investigate crop circles
- Developing Geometry Proofs with Geometry Expressions
- 101 Symbolic Geometry Examples Using Geometry Expressions
- 101 Conic Sections Examples using Geometry Expressions
- Using Symbolic Geometry to Teach Secondary School Mathematics - Geometry Expressions Activities for Algebra 2 and PreCalculus
- Connecting Algebra and Geometry through Technology - Applying Geometry Expressions in the Algebra 2 and Pre-Calculus Classrooms
- Function Transformations
- Exploring with Geometry Expressions in High School Mathematics
See below for a detailed description of each title.
The Tortoise and Achilles: using Geometry Expressions to investigate the infinite
by: Larry Ottman
Physical book (delivered by mail) $24.95
PDF eBook (digital download) $9.99
Calculus is the study of the infinite and since much of secondary mathematics is
designed to prepare one for the study of calculus, wrestling with the ideas of
the infinite, even if informally, is extremely important for a student’s
mathematical development. That is the purpose of this book.
Among the first to discuss these ideas was the Greek philosopher / mathematician
Zeno, and not long after him, Archimedes came the closest to “discovering”
Calculus without the tools of modern mathematics. Though none of Zeno’s actual
writings survive, Aristotle recorded accounts of Zeno’s thoughts on the
infinite, time and space in what have come to be known as Zeno’s Paradoxes. One
of those specifically involves the idea of a race in which a slower runner is
given a head start and investigates the possibilities of the faster runner
“catching up”. This has come to be known as “Achilles and the Tortoise”. These
characters are our hosts as we use the modern software, Geometry Expressions, to
investigate Archimedes methods, ideas of the infinite, and Zeno’s Paradoxes in
an introduction to Calculus, without using Calculus.
View a sample
Calculus Explorations With Geometry Expressions
by: Irina Lyublinskaya, Valeriy Ryzhik, Ron Armontrout
Physical book (delivered by mail) $39.95
PDF eBook (digital download) $9.99
The purpose of this book is to use Geometry Expressions
software in order to facilitate and enhance the calculus syllabus by allowing
students to ground calculus concepts in a geometric way. The 29 student
explorations in this book cover the major topics of a standard course of
calculus, and are completed with the help of the constraint-based dynamic
software package, Geometry Expressions. Using Geometry Expressions in learning
calculus, students have the opportunity to develop general investigation skills,
make connections between geometric and algebraic representations of major
calculus ideas, interpret analytic problems visually and geometric problems
algebraically, and develop facility with using a computer to prove general
mathematics statements. Geometry Expressions enables more extensive calculus
investigation than is possible in a traditional course of calculus.
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The Farmer and the Mathematician: using Geometry Expressions and Google Earth to investigate crop circles
by: Larry Ottman
Physical book (delivered by mail) $24.95
PDF eBook (digital download) $9.99
The typical student complaint about secondary mathematics is that it appears to
have no practical application. The design and implementation of crop circles using center pivot irrigation
provides us with an excellent example to see mathematics in action. By investigating these crop circles the lessons in this book utilize images from Google Earth, and a
lighthearted scenario of a discussion between a farmer and a mathematician to
introduce important mathematical concepts that are appropriate and adaptable
for students in a range of courses from Pre-Algebra, Algebra, and Geometry, up
through and including Calculus.
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Developing Geometry Proofs with Geometry Expressions
by: Irina Lyublinskaya, Valeriy Ryzhik, Dan Funsch
Physical book (delivered by mail) $39.95
PDF eBook (digital download) $9.99
We wrote this book with the hope to help teachers to engage their students in learning geometry and encourage them in their development of logical thinking. This book offers 43 interesting geometry problems that resulted from a collaboration of Russian and American educators. They reflect the content of the standard high school curriculum. Altogether these problems demonstrate the most important methods of geometry. The unique features of these problems include use of symbolic geometry software, Geometry Expressions. Each problem includes student black line master and detailed teacher notes with solutions, proofs, and steps for working with Geometry Expressions.
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101 Symbolic Geometry Examples Using Geometry Expressions
by: Phillip Todd
Physical book (delivered by mail) $34.95
PDF eBook (digital download) $9.99
This book comprises 101 examples of the use of Geometry Expressions in a variety of settings. In some cases, we give a simple model with little explanation. In other cases, there is some exposition backed up by Geometry
Expressions models. Some examples make use of an algebra system in addition to Geometry Expressions, while many use Geometry Expressions stand-alone. Together, we hope, they give an indication of what the system can do, and
provide a starting point for the reader to pursue his own discoveries.
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101 Conic Sections Examples using Geometry Expressions
by: Phillip Todd
Physical book (delivered by mail) $29.95
PDF eBook (digital download) $9.99
The goal of this book is to show you what you can do with the conic section capabilities of Geometry Expressions 2.0. The goal is not to teach you conic sections, though you might learn some interesting or arcane facts about them on the way. Neither is the goal to teach you how to use Geometry Expressions, though you might pick up a few pointers en route.
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Using Symbolic Geometry to Teach Secondary School Mathematics - Geometry Expressions Activities for Algebra 2 and PreCalculus
by: Irina Lyublinskaya & Valeriy Ryzhik
Physical book (delivered by mail) $24.95
PDF eBook (digital download) $9.99
From the back cover: Our goal was to use Geometry Expressions to develop a set of problems for second year algebra and/or precalculus courses addressing the topics of geometric transformations of functions and optimization. In this volume you will find eight interactive problems with different levels of difficulty. In each problem the main focus is on the development of the studentsí ability to recognize and make connections using multiple representations of the same object, such as geometric shape and function. By connecting geometric and algebraic representations the student develops a more thorough understanding of the problem.
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Connecting Algebra and Geometry through Technology
Applying Geometry Expressions in the Algebra 2 and Pre-Calculus Classrooms
by: Jim Wiechmann
Physical book (delivered by mail) $29.95
PDF eBook (digital download) $9.99
Geometry Expressions provides a playground where students can discover their own mathematics. They will begin to see mathematics as something that is created, not just a set of facts made up long ago. Once students take ownership of their mathematics, they will be more apt to "work productively and reflectively, with the skilled guidance of their teachers."
The units presented in this book are a jumping-off point for using Geometry Expressions in the classroom. Use the units to gauge the potential of this powerful software, and as a guide to applying Geometry Expressions in your own classroom. We trust that you will enjoy using the units and the software.
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Function Transformations
by: Tim Brown
Physical book (delivered by mail) $29.95
PDF eBook (digital download) $9.99
This unit is designed to familiarize students with the ideas of how various functions can be transformed,
and the effect those transformations have on equations, graphs, and contextual situations. It specifically investigates three basic function types: those with parent functions y=x2, y=1/x, and y=sin(x).
These function families were chosen because they are simple enough for students to readily understand, and also sophisticated enough to clearly demonstrate the effects of dilations and translations.
The skills and principles to be learned apply to virtually all function families, and will give a solid foundation for more advanced studies in functions.
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Exploring with Geometry Expressions in High School Mathematics
by: Ian Sheppard
Physical book (delivered by mail) $34.95
PDF eBook (digital download) $9.99
From the back cover: "Ian Sheppard's book is based around a set of activities using the computer program Geometry Expressions. The author's passion to provide students with engaging learning opportunities is evident throughout. The activities embrace investigative approaches and seek to enhance student learning through discovery and the use of computer technology. Geometry Expressions has two features that add to the genre of dynamic interactive geometry software, constraints and symbolics. The activities and approach are designed to emphasize these additional features, constraints as an intuitive way to construct diagrams and symbolics as a link between algebra and geometry."
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Look for more books coming soon!
