Transcript Document
Reform Context for Action
Research
Problems of practice need a
theoretical framework
Observing “problems of practice”
Through your daily teaching practice, you
notice problems that reoccur.
These may or may not be obvious. Later today
we will discuss examples.
In this course you will identify and design a
study for a “problem of practice”
Example
“When I call on one student in the class, none
of the other students pay any attention to what
that student says.”
But that’s just human nature, isn’t it?
“Whew! Glad he didn’t call on me … “
Example, continued
“When I call on one student in the class, none
of the other students pay any attention to what
that student says.”
Can’t you just tell them to pay attention?
(Case closed)
or is it?
NCTM Communication Standard
Instructional programs from pre-kindergarten through
grade 12 should enable all students to—
• Organize and consolidate their mathematical thinking through
communication
• Communicate their mathematical thinking coherently and clearly
to peers, teachers, and others
• Analyze and evaluate the mathematical thinking and strategies of
others;
• Use the language of mathematics to express mathematical ideas
precisely.
NCTM Communication Standard
“When I call on one student in the class, none
of the other students pay any attention to what
that student says.”
• Organize and consolidate their mathematical thinking through
communication
• Communicate their mathematical thinking coherently and clearly
to peers, teachers, and others
• Analyze and evaluate the mathematical thinking and strategies of
others;
• Use the language of mathematics to express mathematical ideas
precisely.
The problem becomes situated in
a theoretical framework.
By “theoretical” I don’t mean “unproven” or
“abstract”
A theoretical framework can be established by
a set of agreed upon standards. In this course,
we use the NCTM Process Standards as our
framework.
(But are these really “agreed upon?”)
National Council of Teachers of
Mathematics
Since 1920,
Mission
The National Council of Teachers of Mathematics is a
public voice of mathematics education, providing vision,
leadership and professional development to support
teachers in ensuring equitable mathematics learning of
the highest quality for all students.
NCTM STANDARDS: The established reference for
government funding and commercial textbook
development. (We don’t have government textbooks.)
Not everyone agrees with NCTM
You should be familiar with “Mathematically
Correct” and other groups, including regional
groups such as in this news item:
Mother objects to teaching techniques.
By JANESE HEAVIN of the Tribune’ s staff Published Tuesday, September 4, 2007
A critic of Columbia Public Schools’ math curriculum will
take her concerns to a national math panel this week.Michelle
Pruitt is on a waiting list to speak Thursday at the National
Mathematics Advisory Panel’s public hearing
Parents for Real Math
at the Eric P.Newman Education Center on the Washington
University campus in St.Louis.Pruitt represents Parents For
Real Math, a group of parents who share concerns about
Columbia’s K - 5 math curriculum, known as Investigations
in Numbers, Data and Space.
"I feel like I’m representing the parents," Pruitt said."I don’t
know if they’re being heard on any level, local or national."
A new national advisory group
http : // www.ed.gov/about/bdscomm/list/mathpanel/index.html
QuickTime™ and a
TIFF (LZW) decompressor
are needed to see this picture.
NMAP reports:
National Mathematics Advisory Panel
Learning Processes Task Group
Progress Report
Miami Dade College, Miami, FL
June 6, 2007
Contributing Members
Dave Geary
Dan Berch
Wade Boykin
Susan Embretson
Valerie Reyna
Bob Siegler
Jennifer Graban, staff
A possible alternative
framework?
Completed to Date
Principles of learning and cognition
Mathematical knowledge children bring to school
Math learning in whole number arithmetic
Social, Motivational, and Affective Influences on
Learning
Social, Motivational and Affective Influences on Learning
An interesting commentary
http://mathpanelwatch.blogspot.com/
MathPanelWatch
The purpose of this blog is to keep interested people
informed of the deliberations of the Department of
Education's new Mathematics Panel.
Back to the subject of “reform”
Are you teaching “reform math” ?
What is this? How long has it been
happening? (At least 17 years).
What is “re - formed” ?
Content -- instructional practice … ?
Look at NCTM “Focal Points”
The Curriculum Focal Points are the most
important mathematical topics for each grade
level.They comprise related ideas, concepts,
skills, and procedures that form the
foundation for understanding and lasting
learning.
Some people have seen the Focal
Points as a step back toward
“basics.”
Focal Points, says NCTM president Francis
"Skip" Fennell, "is not a new version of the
Standards." It is not a back - to - basics
document, Virginia Warfield, a consultant on
Focal Points, told a think tank in Washington.
NCTM executives wrote letters of protest to
newspapers whose coverage portrayed the
document as a new departure.
The NCTM Process Standards
can be our definition of “Reform”
You can teach “BASICS” within this
framework:
• Problem Solving
• Reasoning and Proof
• Communication
• Connections
• Representation
Your action research will be
situated within the framework
provided by these standards
• Problem Solving
• Reasoning and Proof
• Communication
• Connections
• Representation
Discussion