karen corlyn [email protected] lee ann pruske [email protected] making mathematics meaningful and...
TRANSCRIPT
Karen Corlyn [email protected]
Lee Ann Pruske [email protected]
Making Mathematics Meaningful and
MemorablePaige Richards [email protected]
Mary Mooney [email protected]
Association of Mathematical Teacher Educators
Tulsa, Oklahoma January 24-26,2008
Hank Kepner
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
Wisconsin-Milwaukee
Milwaukee Area
Technical College
Milwaukee Public
Schools
University of
Wisconsin-Milwaukee
Milwaukee Area
Technical College
Milwaukee Public
Schools
MMP
Mathematics Course Work
Mathematical Explorations for Elementary Teachers I and II Mathematics Methods for Elementary and Middle
School.
Discrete Probability and Statistics for Elementary Teachers
Geometry for Elementary Teachers Problem Solving and Critical Thinking for
Elementary Teachers Algebraic Structures for Elementary Teachers
Middle Childhood through Early Adolescence (MCEA) Math Minor
Core courses for MCEA majors
MathematiciansMathematics
Educators
Teachers-in-Residence
National Research Council’sStrands of Proficiency
Adding It Up, 2001
Adaptive Reasoning Strategic Competence Conceptual
Understanding Productive Disposition Procedural Fluency
Framework
Middle School Math Methods
Discrete Probability and Statistical Analysis
Algebra Structures
Karen CorlynMPS Middle School Teacher-in-Residence @ UWM
It’s about making it accessible
It’s about making it accessible
Negations of Statements Utilizing Quantifiers.
Statement NegationSome a are b.(Some cats are black)
No a is b.(No cat is black)
Some a are not b.(Some cats are not black)
All a are b.(All cats are black)
All a are b.(All cats are black)
Some a are not b.(Some cats are not black)
No a is b.(No cat is black)
Some a are b.(Some cats are black)
It’s about making it accessible
We now paste these diagrams together as such:
The resulting diagram completely describ es the . composition To see
, this compare the list of values obtained in Activity 3.23 with this . pasted diagram If we want to, we may eliminate the ‘ ’seam f rom
this diagram to obtain our usual sort of function di .agram
3
4 5 6 7
a
b
c d
3. FUNCTIONS
function diagram.
a
b
c
d
3
4 5 6 7
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:
3 3 12x + =
Most of all,It’s all about the conversations . . .
Framework
Lee Ann PruskeMPS 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 RichardsMPS 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 pre-service teacher courses.”
David Ruszkiewicz, MATC
Mary MooneyMPS High School Teacher-in-Residence @ UWM
Secondary School Math Methods
Middle School Math Methods
High School Algebra Labs
Framework
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.
www.mmp.uwm.edu