Silicon Valley High School Teaching Students to Think More
Mathematica-lly
"The structure and syntax of Mathematica mirrors
rather fundamentally the structure and syntax of mathematics. Learning
Mathematica and learning to use it, to write with it, would provide valuable exercise
in thinking mathematically." So states the prestigious Harker School's
website about their decision to adopt Mathematica as a curriculum standard in
their newly added Upper School math and science classes.
Located in the heart of the high-tech industry, where virtually the entire
student body has at least one relative employed in the high-tech sector,
Harker students have a higher than average interest in pursuing careers in
math, science, and technical fields. And officials at the century-old
institution are convinced that learning Mathematica now will help better
prepare them for their university studies and future careers. Last year's
first class of high school graduates have already gone on to an impressive
array of universities including Harvard, Stanford, and MIT.
The Harker School feels it is important that students utilize technology
throughout the curriculum, integrated in appropriate forms from the early
grades on. Says Joanne Mason, Director of Math Studies, "computers are
used in every conceivable way in all classes." All upper-level students use web
authoring software to prepare assignments and projects and most classes
require the use of online conferencing for collaborative projects and
discussions.
After an exhaustive evaluation of the options, Mason says she and her
colleagues were sold on Mathematica when they reviewed Version 4.0 because
of its interface. "Mathematica offered the ability to do advanced
calculations, symbolic mathematics, graphics, and word processing--all at
the same time, in the same document, on any computer platform our students
may be running." Although some teachers use Mathematica as a presentation
tool, Mason says that the primary use of Mathematica at Harker is for
students to work on homework and other projects.
After attending several Mathematica training workshops to ensure that
students would have a positive experience, Harker teachers also felt that
"this was a great program and that in fact the learning curve was not that
steep." This prompted them to use Mathematica in all upper-level math
courses instead of just the advanced ones as originally planned. In fact,
although last year the teachers devoted the first two full weeks of class
to teaching Mathematica, this year they skipped the initial instruction. "We
wanted to spend time on our core subject content, and what we've found is
that it hasn't made any difference with the students; they've been able to
"pick it up" pretty well as we go along."
Harker now has an unlimited site license that enables them to install
Mathematica on every computer on campus, to provide teachers with personal
licenses for home use, and to supply individual copies to upper-level
students for use on their required personal laptop computers (for an
affordable fee). A Premier Service agreement entitles the school to
complementary technical support and upgrades for the life of the
agreement, and upon graduation, new alumni are given permanent licenses to take with
them to college.
Mathematica's success at Harker has encouraged school officials to spread
the news to others, primarily through their website which contains
extensive tutorials, samples of student projects, and other information. Plans are
also underway for a Mathematica training institute that will focus on the
design, development, and management of project-centered curricula. This
will facilitate training of Harker staff, as well as make the services
available to other schools in the area.
Since implementing Mathematica, Harker teachers have noticed an increase
in students' interest in very challenging math and programming research. They
also feel that Mathematica reinforces their project-oriented curriculum
since it supports learning-math-by-doing-math and encourages projects that
require collaborative work. As their website states, "Writing mathematics
and writing about mathematics should be central curriculum goals, and
software like Mathematica greatly facilitates this. It may be that this is
the single greatest positive educational benefit of using Mathematica."
For a closer look at their Mathematica usage, visit The Harker School's
website.
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