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GEOMETRY EXPRESSIONS BOOKS

Geometry Expressions eBook Bundle

by: Various AuthorsThe Geometry Expressions eBook bundle includes PDF versions of the following books:

  • Calculus Explorations With Geometry Expressions
  • Developing Geometry Proofs with Geometry Expressions
  • Using Symbolic Geometry to Teach Secondary School Mathematics - Geometry Expressions Activities for Algebra 2 and PreCalculus
  • The Farmer and the Mathematician: using Geometry Expressions and Google Earth to investigate crop circles
  • The Farmer and the Mathematician II: more mathematical investigations using Geometry Expressions
  • The Tortoise and Achilles: using Geometry Expressions to investigate the infinite
  • !01 Symbolic Geometry Examples Using Geometry Expressions
  • 101 Conic Sections Examples using Geometry Expressions
  • 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

Learning Calculus with Geometry Expressions by: L. Van WarrenThis book is available in PDF format with accompanying Geometry Expressions files. (Not included in e-Book Bundle.)

 

Learn Calculus in a Week Instead of a Year! If“a picture is worth a thousand words,” - an interactive animation is worth a thousand pictures!Learning Calculus with Geometry Expressions provides interactive examples for first year calculus.What does this mean? Students don’t have to trudge through endless drills to master limits, derivatives and integrals. Study with our system, then go outside and play!

Geometry Expressions’ dynamic, constraint based symbolic geometry system allows students to build geometry models and express them algebraically, both numerically and symbolically. Students love to use technology in the classroom; the slides and examples contained in this course will motivate students and keep them engaged. And as an added bonus, each lesson begins with a vignette about an important mathematician. Van Warren’s excellent instructions and beautiful Geometry Expressions examples present students with open-ended investigations which reinforce basic concepts and foster mathematical thinking.

Chapter 1 - Functions and Equations - Chapter 2 - Limits - Chapter 3 - Definition of the Derivative

Chapter 4 - Rates and Extremes - Chapter 5 - Integration - Chapter 6 - Integration Techniques - Complete book

 
Learning Calculus
 

Calculus Explorations With Geometry Expressions

by: Irina Lyublinskaya, Valeriy Ryzhik, Ron Armontrout

Physical book

This book uses 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 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 Expressionsto learn calculus enables students to develop general investigation skills, make connections between geometric and algebraic representations of major calculus ideas, interpret analytical 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.

 
CALCULUS
 

Developing Geometry Proofs with Geometry Expressions

by: Irina Lyublinskaya, Valeriy Ryzhik, Dan Funsch

Physical book-PDF eBook
We wrote this book with the hope of helping teachers engage their students in learning geometry and encourage them in their development of logical thinking. This book offers 43 interesting geometry problems that 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 the 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.

 
Developing Geometry Proofs with Geometry Expressions
 

The Farmer and the Mathematician: using Geometry Expressions and Google Earth to investigate crop circles

by: Larry Ottman

Physical book-PDF eBook

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. While investigating 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.

 
The Farmer and the Mathematician
 

The Farmer and the Mathematician II: more mathematical investigations using Geometry Expressions

by: Larry Ottman Physical book/PDF eBook

The Farmer is back and he’s been collecting a lot of questions for his new

Mathematician. (The Mathematician from our last book is “on vacation -

practicing his zero slope!”) Our Farmer is still using his Center Pivot
The process of mathematical modeling is both critical to using mathematicsin the world around us, as well as developing an understanding andappreciation for the true utility of mathematics.Geometry Expressions software, together with The Farmer, is the perfect vehicle for students to develop this understanding.

Irrigation System and he’s become quite good at scanning Google Earth to seewhat his fellow farmers are up to.

 
The Farmer and the Mathematician II
 

The Tortoise and Achilles: using Geometry Expressions to investigate the infinite

by: Larry Ottman

Physical book/PDF eBook

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; hence 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. Thanks to Aristotle for recording Zeno’s thoughts on the infinite, time and space in what have come to be known as Zeno’s Paradoxes. This book focuses on one of those 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 Paradox in an introduction to Calculus, without using Calculus

 
The Tortoise and Achilles
 

Using Symbolic Geometry to Teach Secondary School Mathematics - Geometry Expressions Activities for Algebra 2 and PreCalculus

by: Irina Lyublinskaya & Valeriy Ryzhik

Physical book/PDF eBook
The authors’ goal was to use Geometry Expressions to develop a set of problems for second year algebra and precalculus courses addressing the topics of geometric transformations of functions and optimization. This volume presents eight interactive problems with different levels of difficulty. In each problem the main focus is on the development of the students’ 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.

 
Using Symbolic Geometry
 

101 Symbolic Geometry Examples Using Geometry Expressions

by: Phillip Todd

Physical book/PDF eBook
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.

 
101 Symbolic Geometry Examples
 

101 Conic Sections Examples using Geometry Expressions

by: Phillip Todd

Physical book PDF eBook
The goal of this book is to show you what you can do with the conic section capabilities of Geometry Expressions. 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.

 
101 Conic Sections Examples
 

Connecting Algebra and Geometry through Technology

Applying Geometry Expressions in the Algebra 2 and Pre-Calculus Classrooms

by: Jim Wiechmann
Physical book/PDF eBook

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.

 
Connecting Algebra and Geometry through Technology
 

Function Transformations

by: Tim Brown

Physical book/PDF eBook
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.

 
Function Transformations
 

Exploring with Geometry Expressions in High School Mathematics

by: Ian Sheppard

Physical book/PDF eBook
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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Exploring with Geometry Expressions
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