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I3 = Intensive Immersion Institute |
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67.5 PDP; 4 Graduate Credits
Unlocking Linear Equations and
Exploring Their Foundations
A Quest for Deep Understanding
Intensive Immersion Institute I3
"It is a mistake to think that the practice of my art has become easy to me. I assure you no one has given so much care to the study of composition as I. There is scarcely a famous master in music whose works I have not frequently and diligently studied." Wolfgang Amadeus Mozart
Thursday, June 5, 2008 3:00
p.m. - 6:00 p.m.
Chelsea
A
partnership of Unlocking Linear Equations and Exploring Their Foundations A Quest for Deep Understanding
Intensive Immersion Institute I3
Overview The Institute provides an optimal environment for
participants to examine critically the algebraic and geometric concepts,
procedures and approaches to problem solving associated with linear equations. The goals are: to achieve deep analytical understanding of
the linear equations and their conceptual foundations; to highlight teaching
approaches that engage students’ interest. Participants will focus on: solving and understanding
an ensemble of high-powered enrichment problems; using technology tools such as
graphing calculators and the
CLEAR
Math* program; analyzing and constructing knowledge maps;
developing strategies for assisting students to master linear equations.
Participants will also learn, through modeling and direct treatment, important instructional strategies such as grouping, formative assessment, and differentiated instruction. Mathematics It will cover three major topics: linear equations in two
variables, systems of linear equations, and, preceding them, a connected
sequence of elementary topics that are foundational for the other two major
topics: rational numbers and operations, rate and speed, ratio, direct and
inverse proportion, and measurement. By means of multi-topic concept mapping
with an emphasis on visual explanations, and solution of challenging problems at
their level, participants will develop deep understanding of the topics and
their interrelationships. In addition, they will explore likely student
misunderstandings and their remediation. Participants will: analyze linear equations through
numerical, graphical, and algebraic methods; explore solution space of systems
of equations and inequalities. They will make connections between
geometrical-algebraic interpretations and engage in the formulation, exploration
and solution of application problems and open-ended projects that exemplify the
concepts and methods of the Institute topics.
Unlocking Linear Equations and Exploring Their FoundationsA Quest for Deep Understanding
Intensive Immersion Institute I3
The Institute Experience:
The
presenters, Dr. Andrew Chen, Dr. George Johnston and Prof. Elaine Previte, are
experienced math educators, Intensive
Immersion Institutes** (I3) instructors, as well as members of
the authoring team of the
CLEAR
Math*
program from MIT. Here are sample comments from former participants: “Excellent!
Challenging experience. Absolutely engaged in the learning process- the brain
certainly got lots of exercise. I developed more confidence in my own learning
that will directly transfer to my teaching. More understanding of the ‘why’
something mathematical happens. I will not be teaching all of the topics
presented but the awareness and knowledge gained is critical to my professional
development. The collegiality was incredible!!” “The dynamics of a group can only
be explained to someone who has experienced it. It is really exciting to
do meaningful analysis of our work in front of people who truly want to
understand and deepen their teaching commitment." “It woke up the math in me. It
made me aware of my strengths and weaknesses.” “… like pumping iron or
running 7 miles… it was good for me.” “I truly wished every math teacher
could experience what I did in this class. I have learned much about myself as a
math teacher and as a math student.” “Wonderful! I would love to take it again! The atmosphere
was extremely non-threatening and there was something for everyone. The subject
matter was presented in a way which challenged everyone, but there was still the ability
for those who did not come
with as much knowledge of math to master the fundamentals!” “I enjoyed the exchange with math
teachers on a real math level so much. Thank you for all that you did to
draw out the best in each of us.” “This institute was the most valuable professional development I have had in my career as a teacher. (Very long career…)” “This
course created “Joyous” learning moments with the great feeling of
“break-through” thinking and thought connections and generalized concept
development. (Made my “eyes water” several times.) …
I was richly rewarded in this course.” “This
institute provided me with the opportunity to challenge myself mathematically. I
enjoyed taking the emphasis off ‘teaching’ and putting it on my individual
learning. I learned a great deal from my colleagues and an enormous amount from
Andrew and George. I feel re-energized and also that I now have more to offer as
a teacher.” **
District-based Intensive
Immersion Institutes, I3,
can fundamentally transform individual teachers and their districts into
effective learning machines. Thanks to the chemistry, dynamics, and positive
peer pressure fostered in the rigorous, intensive and collegial workshop
experience. http://www.edutron.com
Unlocking Linear Equations and Exploring Their Foundations A Quest for Deep Understanding
Intensive Immersion Institute I3
Unlocking Linear Equations and Exploring Their Foundations, funded through a contract administered by the Massachusetts Department of Education, is offered at no cost to educators. Space is limited; therefore, please submit this application only if you can commit to attend all days of the Institute and complete all Institute requirements. Sessions will be held at Chelsea Public Schools,
Chelsea Priority for Registration Teachers from high need districts will receive first priority for registration. Mathematics teachers that are not currently licensed in mathematics will receive next priority. Teachers from high need districts are encouraged to participate as a team.
* CLEAR Math (Computer-based Learning Environment with Advanced Remediation) has been approved by MA DOE as Frameworks/MCAS compliant and technically appropriate software for grades 6-12. It is being used in more than 30 districts in Massachusetts with excitingly positive outcomes. (See www.edutron.com)
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