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The Expert
Mathematician
New Tools for Teaching Computer Technology,
Mathematics, and Collaborative Problem Solving
What is The
Expert Mathematician?
The Expert
Mathematician
(TEM) Instructional System is an innovative technology-mediated
constructivist
toolset for teaching critical thinking and mathematics with technology.
TEM provides a strong pedagogical framework for developing the middle
school mathematics curriculum, making
excellent use of computer technology in Standards-based
mathematics instruction. TEM is custom designed to promote peer
learning and support facilitative teaching. Instructional materials
provide 2 or more years of general mathematics, prealgebra and algebra
I
conceptual and computational content.
Research
shows that TEM lessons can engage students and increase
achievement for mainstream and at-risk students, as well as increase
positive attitudes about learning mathematics.
Uses of TEM include:
- Stand-alone mathematics foundation building
curriculum for
at-risk students.
- Core dynamic mathematics framework for constructivist
problem-based
mathematics program.
- Technology-math complement to direct instruction
curriculum.
- After school tutorial.
- Stimulating intervention for high potential
elementary school students.
Three main goals of The
Expert Mathematician are:
- Engage
students—whether or not they've
been previously successful in math—in an affectively positive and
successful experience with mathematics at this crucial transitional
time prior to high school.
- fill in gaps
in concepts and skills
- gain
confidence in mathematical problem solving
- Improve
students' critical thinking,
problem solving and team collaboration skills. Part of instruction is
to assure that students understand how their classroom practice
directly aligns with workplace activities.
- discussion guidelines emphasize specific skills
supported by research evidence showing positive outcomes and workplace
expectations.
- Provide
an engaging and sound introduction
to computer programming with mathematical technology as experts use it
in real work.
The
third goal also helps meet a number of
educational technology standards for students and teachers as suggested
by ISTE, 2007, 2008. Teachers will
see these
goals come to life in our hands-on instructional format.
A bonus feature of
TEM's cooperatively structured
prescriptive-generative
TM
media is the
insights it introduces
regarding cognitive and social processes crucial to learning
independently and in peer collaboration. Increases
on standardized tests can be expected. This is far more than a
skill-drill
program. TEM is a developmental learning system that honors students'
needs for a comprehensive experience generating, editing, operating,
annotating, discussing real mathematical products that are
student-built on a daily basis
using a computer, and learning cooperatively with
peers.
TEM introduces a
learner-centered, dynamic generative learning
model to the middle school mathematics curriculum. 196 40-120 minute
constructivist lessons include hundreds of interactive
computer-mediated problem solving exercises that teach mathematical
concepts and develop computational skills. Students of diverse ability
levels and learning styles have consistently shown their interest in
the TEM program, and have achieved.
All constructivist
programs have at least one common feature: in varying measures they
shift authority and responsibility for constructing new knowledge to
the student. There are cognitive and affective learning benefits from
this shift–if the media supports it. Cognitively, students are able to
hold instructional content in short-term memory longer when they
directly control media. This is crucial to building links between new
information and prior knowledge. Teacher-directed pacing, on the other
hand, can frustrate students' ability to linger with a concept long
enough to grasp it. While core subject matter is prescribed, TEM is
designed to give students needed control over working with new
concepts. The Expert Mathematician
Instructional System is
an economical program, customized to give teachers and students unusual
leverage in overcoming barriers to learning mathematics. It can enhance
any middle school mathematics curriculum. See other links for more
information.
Copyright © James J. Baker. All rights reserved.
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Copyright © James
J. Baker. All rights reserved.
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