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Article that appeared in the News-Sickle-Arrow,
Thursday, Sept 16, 1999
Math students widen horizons
By Mary Yeater Rathbun
Wisconsin Heights School District’s math department is one of the
leaders in the state, and perhaps the nation, in integrating technology
into curriculum.
This fact will be acknowledged at the Wisconsin Educational Technology
Conference in Milwaukee Oct. 12 and 13. High school math teacher Lauren
Jensen and Middle school math teacher Dianne Koch will be teaching a workshop
aimed at helping teachers at other schools learn how to do what is now
routine at Heights.
Koch says that when they gave this same workshop in Oshkosh teachers
from all over the state and other states, as well as Canada, came to it.
Jensen talks about the national and international audience they drew when
they presented it in California.
Both Koch and Jensen credit former Heights math teacher Kent Jensen
(no relation to current teacher Jensen) with beginning the introduction
of technology into the math curriculum at Heights. Lauren Jensen characterizes
him as very innovative and says he was "one of the first educators to use
graphing calculators in his upper level math classes." Koch says that the
incorporation of technology into the math curriculum took a giant step
forward five years ago when the middle school opened. Koch, who taught
at Mazomanie Elementary before the creation of the middle school, says
the existence of the middle school allowed the staff to stretch the math
budget to cover technology hardware, such as the purchase of classroom
sets of graphing calculators, But, she also emphasizes that, by grouping
all the 6th, 7th and 8th graders in one
building adjacent to the high school, it also allowed the math staff to
begin accelerating students much earlier.
This year a 9th grader is taking advanced placement calculus,
the highest level math course offer in the district. Jensen says there
would have been three juniors in the class too, except that two moved away.
Four students are taking computer programming on the internet. As Jensen
says, this is an example of the Heights math department "using technology
to provide classes they don’t have the people to teach."
Jensen says that courses in which students create and maintain web
pages are some of the math courses that are forcing the students to incorporate
interdisciplinary skills into their math program. All the students in Jensen’s
junior and senior level pre-calculus class are creating their own web pages
that will be accessible to internet users through the high school web page.
Creating these pages requires the students to use both graphic design and
language arts skills to communicate mathematical information. As Koch explained,
this project, using the computer as a communications tool, builds on work
she started when she had these students in 8th grade pre-algebra
and algebra. Heights math students write papers in math from 8th
grade on. Koch says that, although the students do not begin writing it
down until 8th grade, even in the elementary schools the math
teachers make them explain their reasoning, how they got the answers they
did. Koch said this change has been egged on by the state assessment tests
which ask the students to write how to solve problems, not just to solve
them. Jensen says it is also one of the ways in which the math department’s
extensive use of technology in its curriculum will be spread to other departments.
As Jensen says many teachers, including math teachers, don’t know
how to use certain technologies, so they are uncomfortable with them. This
is what she and Koch are trying to overcome with the workshop for teachers
in other districts that they are giving in October. Jensen says that a
lot of math teachers, especially at the elementary level, are frightened
of tools such as graphing calculators.
That is the tool Jensen and Koch will be teaching the teachers to
use in October. The adults in Milwaukee will be doing the same activity
that Jensen’s pre-calculus students did on Monday, Sept. 13, except that
the Heights students will do more with the data than the adults. Teams
of three students use motion detectors to gather data about the change
in the speed of toy cars over time. They store this information in their
graphing calculators as linear data. The calculators translate the numbers
and letters of old fashioned equations into a concrete picture which the
students can see.
This, in turn, means, according to Jensen and Koch, that you no longer
need to be as abstract a thinker to be a mathematician. Math is now accessible
to students with different learning styles. Some students are visual learners.
Others need to do something in order to learn a concept. Jensen says that
the abstract thinkers are still going to get it, but that the subject is
no longer limited to them.
She also says that it makes math more fun and allows the teachers
to connect abstract concepts to real life things. As Koch puts it, it allows
them to answer perennial "When will I ever use this?" questions that nag
math teachers.
One of Jensen’s favorite examples of this is the parabola. From time
immemorial, algebra students have had to learn the equations that allow
them to plot a parabola and they have all asked "What in my life does this
apply to?" Now with motion detectors and graphing calculators she can show
them.
She has a student throw a ball into the air in front of a motion
detector that is connected to a graphing calculator. The resulting curve
is an upside down parabola. Once some students see that every football
kick-off traces a parabola and the nature of that parabola influences the
success of that kick-off, Jensen says some decide math is not such a useless
thing after all. It has meaning within their world. They are willing to
look at the concepts involved in this example (point of impact, the force
of gravity, and velocity) with new eyes.
From the look in her eyes when she says this, it is obvious that
producing this reaction is one the greatest rewards she receives from teaching.
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