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What topics will be covered in the VideoText Interactive Geometry
course?
Click here to see an Outline of the main topics in the new Geometry
course.
When will the new VideoText Interactive Geometry
program be ready?
Modules A,
B, and C (the first three of six modules) may now be ordered. Module
D, E, and F are scheduled for release in 2007.
These are deadlines we are committed to, barring any delays beyond our
control, including outside printing and/or packaging problems.
Understand, however, that this is, in no way, a guarantee. We will not
rush to completion at the expense of the integrity of the program.
Therefore, if you have personal deadlines with regard to the scheduling
of course work for your student, you may have to decide on another
Geometry course to meet your needs.
Will this course be a
two-year course in the same way that the Algebra course is?
You must realize that the only
reason the Algebra course could ever be considered a two-year course, is
that it is taught as a two-year course in the public domain.
Technically, it is a one-year course, just as Geometry is, but, as we
all know, it is virtually impossible to cover completely, in one school
year, any subject in the public schools. Therefore, 2 credits are given
for completing Algebra in two years. Geometry, on the other hand, has
never been considered as a two-year course, even though it contains just
as much “material” as an Algebra course does. In other words, when a
student takes Geometry in a school setting, it is a given that the
course will not be completed in one year. There will be some material
that will simply not be covered. The only way it will eventually be
covered, is for the student to take a course called “Advanced
Mathematics”, or “Pre-Calculus”, courses which are now offered to
complete anything in Algebra or Geometry that was omitted, in
preparation for Calculus. Because that is the way the matter is handled
in the formal school setting, you will find it difficult to justify a
two-year timeline, resulting in 2 credits. You could, in all
probability, complete the course using the additional summer at the end
of a school year, in which case, you would have a very strong argument
for receiving additional credit for completing the material in a
Pre-Calculus course. This, however, will be a judgment call, and we
cannot guarantee it.
Will the “significant treatment of
Trigonometry” constitute a high school credit in Trigonometry? If not,
what more would be needed to make this a two-credit, high school level
course in Geometry and Trigonometry?
Currently, there is no such thing
as a “credit-worthy” course in Trigonometry. In other words, you cannot
receive a high school credit for taking a course, solely on
Trigonometry. It simply doesn’t exist. (The remarks in the answer to
the question above will give you more detail on that issue.) So, the
answer to the second part of the question is to examine what the content
of an “Advanced Mathematics” or “Pre-Calculus” course is, in your area,
and add the few components not covered in the VideoText Interactive
Algebra and Geometry courses (presuming you have taken those courses,)
in order to justify a second high school credit. Even then, however,
you may have to argue the point with your overseeing credit provider.
What is the rationale behind
the traditional sequencing of Algebra and Geometry Courses? In other
words, why has Geometry been “sandwiched” between Algebra 1 and Algebra
2?
First, you
must understand that, because Algebra is the study of relations, it is
the “language” for all of the math courses which follow it. In fact,
you can’t really even understand the formal relationships of Arithmetic,
until you have studied, and understood, the elements of Algebra. That
means you should never take any other upper-level math course (Geometry,
Trigonometry, Pre-calculus, Calculus, etc.) until you have exhausted the
study of Algebra. A little history is probably appropriate here. Back
in the “old days”, we were required to have completed only two credits
of math to graduate from high school. For most students, those two
courses were Algebra and Geometry, and we taught them in the proper
order, Algebra first, then Geometry. Of course, we never “finished the
book” in either course, but, we did learn enough to receive an allowable
credit in each. Then, the credit requirements were increased to three,
and we were faced with the problem of what else was available for us to
teach, at the high school level. The answer became rather obvious when
we realized that we did not complete the Algebra study. So we decided
to teach “Algebra 2, attempting to “pick up where we left off”. You
realize, then, that there really are no such things as Algebra 1 and
Algebra 2, any more than there would be Geometry 1 and Geometry 2. It
is just Algebra. Of course, we then found out that students had
forgotten a lot of what they had learned over a year before. That is
why you will find that any commercially available Algebra 2 book
virtually starts over, at the beginning. This time, however, we would
expect the student to move more quickly, since the beginning is
“review”, which means we should have some time, at the end to add, as
well, the material we didn’t finish in the Geometry course. That’s
where Trigonometry, the “measuring of triangles”, comes in. And that is
why you will find most Algebra 2 books titled, “Algebra 2, with
Trigonometry”. You see, Geometry was never inserted “between” Algebra 1
and Algebra 2 at all. There was simply more Algebra (and additional
Geometry) “added on”, because of the additional credit requirement. So,
to repeat, a student should never take any formal Geometry course until
all of the Algebra has been completed. As an afterthought, if you are
just looking to get a student “ready” for Geometry, you might look at
"Keys to Geometry" from Key Curriculum Press. This is not at all a high
school credit course in Geometry, but it does introduce most of the
terms and concepts found in the course, without any formal proof. This
would allow the student to prepare well for SAT or ACT testing, and
concentrate later on the logic building skills that are introduced in a
formal course.
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