The Farmer and the Mathematician II

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About the author:
A veteran mathematics teacher, Mr. Ottman leads his students over trails of mathematics in the world around them. Engaging students in real world math problems has been his special interest for the past 26 years (or so).

Mr. Ottman has received numerous awards for his exceptional teaching abilities, including the Presidential Award for Excellence in Mathematics and Science Teaching.

He shares his years of experience and expertise with teachers in workshops and presentations at conferences all over the country, like the summer Mathematical Sciences Institute, the Greer Conference on Mathematics, Science and Technology, and training sessions using the TI-Nspire calculator.

A well rounded scholar, Larry holds a Bachelor of Arts degree in Mathematics, and a Bachelor of Science degree in Piano Performance from The King's College, as well as a masters in Educational Technology Leadership from George Washington University.

The Farmer and the Mathematician II
 

more mathematical investigations using Geometry Expressions

Authored by Larry Ottman
Illustrated by Regina Doris Ottman

This is Mr. Ottman's second book about a corny farmer and his mathematician friend. Our farmer uses a Center Pivot Irrigation System - those long stretches of wheeled scaffolding, sometimes up to a half-mile in length, rotating around a fixed point attached to his water source. This presents real world geometry problems concerning how to fit a circular or semi-circular irrigated plot into a polygonal (usually rectangular, sometimes triangular or even trapezoidal) field.

As in the first book, we demonstrate to the student that Mathematics is not just for calculating the price of produce in the grocery store. Here we have a fresh batch of examples of mathematics in action using our symbolic geometry software, Geometry Expressions, with images from Google Earth.

The process of mathematical modeling is both critical to using mathematics in the world around us, and to developing an understanding and appreciation for the true utility of mathematics. A mathematician or engineer would first be given a
problem to solve. They would also be given constraints, or a set of rules and conditions that must be followed. From that, the scientist would attempt to create a mathematical representation of the problem. Often, real problems are much too complex and it is necessary to constrain, or simplify them further. This is very similar to the approach that a student would take to gain insight into a problem by solving a simpler, related one. Geometry Expressions is written to mirror this process. It is a constraint-based geometric and algebraic modeling program that allows the student to investigate problems in both a numeric and symbolic representation.

So join the Farmer and his mathematical instructor, Sophie, as they fly over Texas, investigating interesting geometrical ideas and stumbling over important mathematical concepts. The content is appropriate and adaptable for students in a range of courses from Algebra and Geometry up through and including Calculus.

The book comes complete with black line masters and detailed teacher notes for every lesson.


Publication Date:
2013-01-23
ISBN/EAN13:
188256426X / 9781882564262
Page Count:
96
Binding Type:
US Trade Paper
Trim Size:
8.5" x 11"
Language:
English
Color:
Black and White
Related Categories:
Mathematics / Geometry / Algebraic




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