2000 TORCH Workshop Descriptions
Math
Algebra
Contact
David Heckman
for more information
You are invited to experience with us an introduction to
Algebra for the 21st century. Transportation will be provided
by manipulatives, graphing calculators, computer algebra
systems, and spreadsheets. Pedagogical strategies modeled
include cooperative learning, writing across the curriculum,
inquiry- and discovery-based learning and real-world modeling.
Technology demonstrations include applications of graphing
calculators and calculator based laboratories. Computer
algebra systems and graphing spreadsheets will augment this
excursion.
Hand-held
Technology: TI-80,-81,82,-83,-92 and CBL Computer
Needs: 16-IBM compatibles & demonstration
computer w/LCD panel (prefer 32 IBMs in the lab)
Change
Contact
Allen E. Martin
for more information
Join us for a week's investigation into the mathematics
of change, and develop materials and techniques with classroom
applications from algebra to calculus. Topics of study include
iteration, recursive sequences, dynamical systems, data
analysis, fractals, and chaos. Participants experience cooperative
learning and discuss, conjecture, experiment, and write
about mathematics. Project-based assessment models are also
explored. Special emphasis is placed on modeling, computer
spreadsheets and the power of programmable graphing calculators.
Hands-on experience is provided with computer software (Learning
in Motion, GraphLink) in both PC and Mac platforms, and
with the TI-83 and TI-83 Plus graphing calculators.
Hand-held Technology:
TI-83 and TI-83 PlusComputer Needs: 1 MAC w/LCD panel;
1 PC w/Windows - w/LCD panel; MAC Lab 3 days, Web access
on first day, if possible
Form and Symmetry
Contact
Kris Warloe
for more information
This one week institute provides middle grade
teachers (grades 5 through 8) new insights and directions
in the content and teaching of middle school mathematics.
The content of the institute has a decidedly non-traditional
geometric flavor. Topics include symmetry, three dimensional
modeling with tetrahedral kites, Golden Ratio, tessellations
and Escher art, geometric designs, fractals, soap bubble
experiments, origami models from paper folding, polyhedra,
topology and mathematical connections to other topics. The
willingness to try new ideas and assume the role of learner
is the only prerequisite.
Hand-held Technology:
TI-82 and TI-83
Functions
Contact
Lewis Romagnano
for more information
The goal of this institute is to provide participants with
broad exposure to changes in the secondary school mathematics
curriculum (both in content and methodologies) made possible
in part by calculators and computers. Using functions as
the central theme, participants explore a series of problems
particularly appropriate for students in second-year algebra,
trigonometry, pre-calculus, math analysis or integrated
math programs. The institute uses new technology, powerful
computer software (such as Derive and selected public domain
software) and graphing calculators (TI-82 and TI-83) to
explore functions from numerical, graphical and analytical
perspectives.
Hand-held Technology:
TI-82 and TI-83 Computer Needs: 1 PC per 2 participants
Geometry
Contact
Kathleen Goto
for more information
This institute has three themes: the exploration of traditional
geometry using investigative techniques, the study of non-traditional
topics, and the application of the computer to geometry
(Geometer's Sketchpad, Cabri and Tessellmania). Hand-held
technology is also used (TI-82 and TI-83 graphing calculators,
and the CBL). No previous calculator or computer experience
is needed -- merely the willingness to try new ideas and
assume the role of learner.
Hand-held Technology:
TI-82, TI-83 and CBL Computer Needs: Teaching Room: 1 Computer
(MAC or PC) w/Internet access & large monitor Lab: 1 computer
for every 2 participants.
Modeling
Contact
Gloria Barrett
for more information
Mathematical modeling is the process that links classroom
mathematics to the real world. The National Council of Teachers
of Mathematics Curriculum and Evaluation Standards for School
Mathematics recommend that all students apply the modeling
process in all courses at every level. During this institute,
participants will investigate examples drawn from science,
sports, management, engineering, and the social sciences.
The methods used employ graphs, tables, formulas, functions,
data analysis, and simulations. The use of graphing calculators
and data collection devices (Calculator Based Laboratory
units) with probes is taught early in the week and used
throughout the institute. If facilities are available, computers
will be used for collecting data from Internet sources and
creating mathematical models using newly developed software.
Hand-held Technology:
TI-83 and CBL
Shape and Dimension
Grand Valley, MI
Contact
Brian Schad
for more information
This middle school mathematics workshop focuses on NCTM
Standard 12, the study of one, two, and three dimensions.
We emphasize visualization of geometric figures, with special
attention to developing spatial sense. Throughout the week
we make connections between geometry and number theory,
algebra, patterns, and functions. In addition, mathematics
is connected to other areas of the curriculum such as English,
science, and social studies, through interdisciplinary units.
The rocket geometry unit uses materials developed at the
Johnson Space Center in Houston, Texas. Through the use
of manipulatives, technology, and hands-on activities, participants
begin to change their ideas about teaching and assessing
mathematics instruction. Assessment based on NCTM standards
is incorporated into the activities. We model team teaching,
problem posing, using manipulatives in lessons, and appropriate
use of technology. We will mold the workshop to address
local standards.
Hand-held Technology:
TI-82 Computer Needs: 1 per 2 participants - available
at least 2 days during the week. LCD panel is also needed.
Statistics
for Teachers grades 7-12
Contact
Murray Siegel
for more information
This institute helps teachers grades 7-12 implement the
statistics and probability strands of the NCTM Standards.
Discussions, group work, and hands-on activities promote
participants' understanding of simple and useful statistical
methods (basic data analysis, model building, distributions,
functions and the concept of randomness). Although the content
of the workshops is statistics, it is not aimed only at
those who teach statistics; materials are applicable to
students at varying grade levels and a wide range of mathematics
courses. Examples of classroom applications include statistical
models for algebraic functions; linear regression for the
equation of a line and the meaning of slope; geometric probability
for geometry; probability for the use of fractions, decimals
and percents; exploratory data analysis for problem solving
activities; and simulation activities for exploring problem
solving techniques.
Hand-held Technology:
TI-83
The
general statistics institute (above) can be combined with
the AP Statistics institute (below) for a two-week experience.
Individual teachers can attend either one or two weeks.
Statistics (Advanced Placement)
for Teachers grades 7-12
Contact
Murray Siegel
for more information
This institute is designed to prepare a high school teacher
who has a basic understanding of statistical concepts to
teach AP Statistics. The institute schedule follows the
Advanced Placement curriculum: one variable data analysis,
regression analysis, statistical design, probability, simulation,
sampling distributions and inference. Instructors model
proven techniques and activities that allow students to
develop a fundamental knowledge of statistical concepts
and techniques. Reviews of previous AP Statistics exam questions,
grading rubrics and sample student answers are included
to allow teachers to prepare their students for the Advanced
Placement examination.
Hand-held Technology:
TI-83
Integrating Multiple Technologies
St. Louis, MO
Contact
Jim Haskins
for more information
T-cubed: Teachers Teaching with Technology through Texas Instruments.
This workshop is designed to explore algebraic
concepts and applications through the use of technology in the teaching
and learning of mathematics and science. The activities focus on the
integration of computers, calculators, data collection devices and the
Internet as tools in the classroom. This program. s goal is to
instruct teachers in new and innovative ways to effectively teach
mathematical concepts using technology in the spirit of the NCTM
Standards.
Advanced Algebra, Data and Technology Institute
St. Louis, MO
Contact
Jim Haskins
for more information
T-cubed: Teachers Teaching with Technology through Texas Instruments
It is a week long professional development program for secondary
mathematics teachers of advanced algebra (Alg II and beyond). The
nstitute. s activities model a learning environment, teaching approach,
and curriculum that gives participants, and ultimately their students,
opportunities to think, create, analyze, and predict together.
Participants will engage in hands-on investigations and learn how
to better use graphing calculators, CBL/CBR systems to develop and
reinforce algebraic concepts.
Middle School Math
for Teachers grades 6-8
St. Louis, MO
Contact
Jim Haskins
for more information
T-cubed: Teachers Teaching with Technology through Texas Instruments
This is a week long professional development program for teachers
of mathematics in grades 6-8. The primary focus of the institute
activities is the explorations of Middle Grades Mathematics concepts
and problems using manipulatives, Explorer Plus and TI-73 graphing
calculators, and the CBR system. Effective classroom use of the
manipulatives and technology will be presented and modeled to instruct
and support teachers in new and innovative ways to enhance their
teaching of Mathematics is the spirit of the NCTM Standard.
Teaching Contemporary Mathematics
Durham, NC
Contact
Jo Ann Lutz
for more information
Join us for a two day conference sponsored by the North Carolina School of
Science and Mathematics. The program will include ideas for
precalculus and calculus that incorporate technology, realistic
applications, mathematical modeling, and student involvement.
Topics relevant to the AP Statistics Curriculum and to the AP
Computer Science Curriculum will be
addressed. Conference presentation and activities will help
participants enhance their everyday teaching through the use of the computer or
graphing calculator and through
an introduction to content and pedagogy that enable students to become
active mathematical learners and problem-solvers. Ideas are
applicable to precalculus and calculus as well as algebra II,
statistics and computer science. Speakers at the conference are
experienced classroom teachers from across the country.
For
more information contact:
Tonka Irish
(609)452-7007, x123
