Home - Purchase
We continue to provide the HSC Geometry CD, but we are no longer carrying The Geometer's Sketchpad or the textbook,
Geometry: A Guided Inquairy in stock. The Geometer's Sketchpad is available directly from
Key Curriculum Press and the textbook is available from
Morton Publishing Company.
Geometry: A Guided Inquiry - a very special textbook!
Of all the Geometry texts I have used over the past 30 years, this one
stands out as by far the richest, most intuitive, and most interesting.
This text is unique.
- Most geometry
textbooks present a long list of facts about geometric figures
organized in a rigid logical order, working generally from simple
to more complex. Applications of these facts may or may not be
made clear to the student.Geometry: A Guided
Inquiry starts by posing interesting geometric problems (puzzles).
Clusters of geometric facts are presented, as needed, in the process
of solving these problems. The usefulness and relevance of the
new facts are therefore apparent from the moment they are introduced. Most
geometry textbooks, especially those written under
the influence of the "New Math" era of the 1960s, put
heavy emphasis on precise use of technical vocabulary and mathematical
- Geometry: A Guided Inquiry emphasizes the underlying
geometric and mathematical ideas and works to help the student
understand them intuitively as well as logically. Overemphasis
on technical vocabulary and complex notation can actually stand
in the way of understanding, so the authors use simplified vocabulary
and notation wherever possible.
- Most geometry textbooks start each problem set with lots of
routine, repetitive problems, gradually working up to an interesting
problem or two at the end of the assignment.
- Geometry: A Guided Inquiry puts the best problems right up
front! From the very beginning the student is given problems worth solving.Most geometry textbooks read like they were written by a committee
following a prescribed agenda. Most in fact are! The life is squeezed
out of the narrative in the process.
- Geometry: A Guided Inquiry has a distinct sense of authorship.
The authors are good mathematicians, good teachers, and good writers.
Their joy in the pursuit of mathematics shows through their writing.
Geometry: A Guided Inquiry makes
frequent use of compass, protractor and ruler activities, data tables,
guess and check methods, model-building, and other techniques of intuitive
exploration in preparation for general solutions. (The Geometer's Sketchpad
adds a new dimension to the opportunities for exploration with dynamic
illustrations.)Each chapter begins with a "Central Problem" that provides the focus and motivates the
discussion in that chapter. The Central section presents
all the essential new material. Along the way you will be led to a solution
of the Central Problem and explore its connections with other topics.
After the Central section is a Review section, and each
of the first seven chapters are followed with a short Algebra Review
that stresses algebra topics related to the current work.
Next comes the best part.
Each chapter has an open ended Projects section with problems that
are extensions to the material in the Central section, sometimes
carrying the discussion in new directions. (The Project sections include
some of the most interesting material in the text!) In a classroom
setting, where students work at their own pace, the faster students would
work on the Project section while the slower students are finishing
the Central and Review sections. In a home study environment
you should read through the whole Project section and work on as
many of the project problems as possible. If you find the work easy, rather
than going faster, you should instead take more time and go deeper!
The textbook is available directly from
Publishing (2010 list price: $39.95 +$7.50 S/H) and a number of online retailers.
It can also be found online used. (A number of used sources sell it for much more
than the new price from the publisher, so beware.) This text has been published by
a series of publishers, but all versions are identical in content. Some of the early
printings are hard cover. The current printings are paperback.
Home Study Companion
The Home Study Companion supplements the textbook in several
- It provides complete, worked out solutions (not just answers)
to all problems in the Central and Project sections
of the text.
- It provides additional commentary to supplement the presentation
of the text, much as the lecture portion of a traditional course
supplements the text.
- It provides a collection of nearly 300 demonstrations using The
Geometer's Sketchpad covering most of the main concepts, and
many additional explorations, in the Central and Projects
sections of each chapter.
- Geometry: A Guided
Inquiry was written long before the current obsession with
standardized testing, and it marches to a different drummer.
It covers many fascinating topics you will see in no other high school Geometry textbook.
The selection of topics in the text is excellent, but the authors'
choice of topics (in 1970) did not anticipate every choice of
the Academic Standards Commission at the end of the century. Therefore
the Home Study Companion adds Extensions to
the chapters, as needed, to cover these additional topics. The
text plus extensions cover the standards for California and nearly
all other states. (Students not affected by mandatory statewide
testing can treat the extensions as optional topics.)
The Geometer's Sketchpad
Sketchpad was not available when Geometry: A Guided Inquiry
was written, but it is the kind of tool that fits perfectly with
the educational philosophy of the text. Students can use The
Geometer's Sketchpad to experiment with geometric constructions,
but unlike pencil-and-paper constructions they can alter or animate
their constructions to see how they behave dynamically. Collections
of demonstrations accompany the Central and Project
sections of each chapter.
In addition, a lab
section has been added to the Home Study Companion with
tutorials for using The Geometer's Sketchpad. Students are encouraged
to learn to use The Geometer's Sketchpad as a tool in its
own right. It is a wonderful tool for both exploration and creativity.
The Geometer's Sketchpad is available directly from
Key Curriculum Press.
Home - Purchase
Each chapter of Geometry: A Guided Inquiry is divided into a Central section and a Project section.
For each of these, the Home Study Companion: Geometry CD has:
- a collection of demonstrations using The Geometer's Sketchpad.
- a pdf file with complete, worked-out solutions to every problem.
(The pdf file contains additional commentary besides just the problem solutions.)
Based on comments from users, we recommend that you:
- Set a goal for how many weeks to spend on each chapter. A standard-length school year is
about 185 school days, and there are 12 chapters. That divides out to approximately 15 school days (three
weeks) per chapter. However, there are extension sections on the CD that have been added to
Chapters 3, 4, 6, 8, 10, and 11. Allowing an average of 5 days for each extension section takes
up 30 school days, leaving 155 school days to divide by 12. That comes out to about 2.5
weeks per normal chapter and 3.5 weeks for the chapters with extensions. This is
just a rough guideline. Some chapters will undoubtedly seem harder than others. Adjust the
pace according to your own time constraints and the perceived difficulty of the material. Work
at a comfortable but persistent pace.
- The Geometer's Sketchpad demonstrations can be viewed at any time. Some of them can be
understood on their own and can help motivate the material in the chapter. Others will make
more sense after a certain point in the chapter. So view them at the beginning and again as you
progress through the chapter.
- Print out the pdf solution guide for the current chapter. This turns out to be an important point.
If they are printed out, they will be more immediately accessible and you are more likely to
refer to them regularly. (However, some of the pdf files contain Internet hyperlinks that you
may want to visit, so you may sometimes want to access them directly on your computer.)
- Work through the Central section of the text as quickly as you are able, referring to the solution
guide as necessary if you get stuck.
- When you finish the Central section, go back and read through the entire pdf solution guide,
both to check your work, and to digest the additional commentary that is included. This will
serve as a good review before going further.
- Do the various review, self test, and algebra review items. (Answers in the text.)
- Take the remainder of the allotted time working through selected problems from the Project
section. (The Project section contains the most interesting material in the book, so don't short-change it!) The method here is the same as for the Central section: view the demonstrations at
any time, print out the pdf solution guide, work through as many problems as you can, and at
the end, read through the entire pdf solution guide. It is best to try each project problem on
your own first, but reading through the solutions of all the project problems at the end will still
be of some benefit.
Don't overlook the Lab activities (listed after Chapter 12 on the CD). These will help you learn to
utilize The Geometer's Sketchpad as a tool for your own use.