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This module provides a systematic and coherent
development of the measurement formulas for computing distances, area
and volume of geometric figures in the plane and in space including all
of the formulas discussed in high school geometry. It also discusses a
variety of problems and results in plane and solid geometry that relate
to distance, area and volume as well as the rich history of geometric
measurements.
The required textbook for this module is Mathematics For High School
Teachers by
Usiskin, Peressini, Marchisotto and Stanley. The corresponding content
for this module is drawn from Chapters 8 and 10 of the text and the
module is written so that it can be completed without reference to
other chapters of the book.
This module is divided into the following units:
- Unit 1: Measuring distance in ordinary and unusual
ways.
- Unit 2: Understanding the area formulas of plane
geometry.
- Unit 3: Understanding the volume and surface area
formulas of solid geometry.
These units deal with topics that are either in the
typical high school geometry curriculum or are closely related to
topics taught high school geometry. However, these topics are treated
from a more advanced standpoint that assumes some of the collegiate
background that prospective high school mathematics teachers take as
undergraduates. This module complements the textbook treatment of this
content with web-based resources and dynamic geometric sketches that
are not available in any print textbook.
Credit: 1/4 grad. unit (= 1 semester
hr.) or 3 CEUs.
See Step-by-Step Instructions
for more information about enrollment options and instructions for
completing this module.
The author of this module is Tony Peressini,
Professor Emeritus of Mathematics at the University of
Illinois. This module was completed in March 2004
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