Transcript A Problem Solving Approach to Mathematics

Making Mathematics
Meaningful and Memorable
Hank
Karen
Corlyn
[email protected]
[email protected]
Lee
Kepner
Ann Pruske
[email protected]
Paige
Richards
[email protected]
Mary
Mooney
[email protected]
Association of Mathematical Teacher Educators
Tulsa, Oklahoma
January 24-26,2008
Teachers-in-Residence
Experienced teachers from Milwaukee
Public Schools.
On special assignment at the University
of Wisconsin - Milwaukee.
Link academic teacher preparation and
urban classroom practice.
Align teacher preparation and K-12
reform initiatives.
MET Report Recommendations
The mathematical education of teachers
should be seen as a partnership between
mathematics faculty and mathematics
education faculty.
There needs to be more collaboration
between mathematics faculty and school
mathematics teachers.
Prospective teachers need mathematics
courses that develop a deep understanding
of the mathematics that they teach.
University of
WisconsinMilwaukee
Milwaukee
Area
Technical
College
Milwaukee
Public
Schools
University of
WisconsinMilwaukee
MMP
Milwaukee
Public
Schools
Milwaukee
Area
Technical
College
Mathematics Course
Work
Core courses for MCEA majors
 Mathematical Explorations for Elementary
Teachers I and II
 Mathematics Methods for Elementary and Middle
School.
Middle Childhood through Early
Adolescence (MCEA) Math Minor
 Discrete Probability and Statistics for Elementary
Teachers
 Geometry for Elementary Teachers
 Problem Solving and Critical Thinking for
Elementary Teachers
 Algebraic Structures for Elementary Teachers
Mathematics
Mathematicians
Educators
Teachers-inResidence
National Research Council’s
Strands of Proficiency
Adding It Up, 2001
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Adaptive Reasoning
Strategic Competence
Conceptual
Understanding
Productive Disposition
Procedural Fluency
Framework
Karen Corlyn
MPS Middle School Teacher-in-Residence @ UWM
Middle School Math Methods
Discrete Probability and Statistical
Analysis
Algebra Structures
It’s about making it accessible
It’s about making it accessible
Negations of Statements Utilizing Quantifiers.
Statement
Negation
Some a are b.
No a is b.
(Some cats are black)
(No cat is black)
Some a are not b.
All a are b.
(Some cats are not black)
(All cats are black)
All a are b.
Some a are not b.
(All cats are black)
(Some cats are not black)
No a is b.
Some a are b.
(No cat is black)
(Some cats are black)
It’s about making it accessible
It’s about making it accessible
It’s about making relevant connections
It’s about making relevant connections
It’s about making relevant connections
It’s about making relevant connections
It’s about making relevant connections
It’s about building understanding
Laura and Maddie using manipulatives (two color
counters and Hershey Kisses) to solve the equation:
3x  3  12
Most of all,
It’s all about the conversations . . .
Framework
Lee Ann Pruske
MPS Elementary School Teacher-in-Residence @ UWM
Elementary School Math Methods
Geometry
Problem Solving
Collaboration . . .
"The TIR's bring the perspective of how
to present this (the content) in an elementary
classroom, and what a teacher could expect
from the elementary school students. They
ground the course and make it relevant to the
future experience of the prospective
teachers”
Gabriella Pinter, PhD
Geometry on the Sphere
Collaboration . . .
“The TIR's move the class to hands-on activities and
discussions quickly. This opens up the classroom to a
different level of discourse and involvement than is
usually found in a university math class.”
“The TIR's look more critically at who is in a
presentation group, adjusting group dynamics to
enhance presentations and problem solving"
Gabriella Pinter, PhD
Paige Richards
MPS Elem. School Teacher-in-Residence @ UWM & MATC
Co-teach mathematics foundations
courses at MATC.
Design, implement and supervise math
internships.
Facilitate the student transition from
MATC to UWM School of Education.
Collaboration . . .
"As a mathematician, I can attest that the greatest
addition our TIR has brought to the content courses
in mathematics for elementary teachers at this
college has been her knowledge and experience of
pedagogical issues. Her K-12 classroom expertise has
been invaluable in the transformation of our preservice teacher courses.”
David Ruszkiewicz, MATC
Mary Mooney
MPS High School Teacher-in-Residence @ UWM
Secondary School Math Methods
Middle School Math Methods
High School Algebra Labs
Framework
www.mmp.uwm.edu
This material was developed by the Milwaukee Mathematics Partnership (MMP) with
support by the National Science Foundation under Grant No. 0314898. Any opinions,
findings and conclusions or recommendations expressed in this material are those of the
authors and do not necessarily reflect the views of the Foundation.