PowerPoint from June 8, 2010 Information Meeting

Report
Dr. Ruth Ann Meyer
KA2P Project Director
Josh Goss
KA2P Project Graduate Assistant
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Connie Doorlag
KA2P Project Associate Director
Kalamazoo Area Algebra Project
A Mathematics/Science Partnership Project
Western Michigan University
Kalamazoo Math/Science Center
School Districts in Southwest Michigan
Albion
Athens
Bloomingdale
Burr Oaks
Catholic Schools
Centreville
Climax-Scotts
Comstock
Constantine
Fennville
Gobles
Gull Lake
Harper Creek
Lutheran Schools
Kalamazoo
Martin
Mattawan
Parchment
Paw Paw
Schoolcraft
Sturgis
Three Rivers
Mathematics and Science Partnership
Competitive Grant Program –
Michigan Department of Education
MDE Guidelines state that projects

Have an active and well-defined partnership with STEM staff

Be designed to improve student achievement
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Be aligned with the Michigan Professional Development
Vision and Standards
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Have an evaluation and accountability plan
As per 2008 SBE grant criteria
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Goal:
◦ Help grades 6-12 teachers improve the teaching and
learning of algebra and pre-algebra concepts
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Objectives:
◦ Increase mathematics content and knowledge for teaching
mathematics of grades 6-12 teachers
◦ Improve articulation and collaboration among grades 6-12
mathematics teachers of participating districts
o
Establish professional learning communities within
participating districts
o
Provide leadership preparation for teacher facilitators
o
Improve mathematics achievement of grades 6-12 students
o
Investigate algebraic misconceptions that interfere with
success in algebra courses
PD format: Three Dinner/Dialogues (≈4:00-7:00)
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Dinner will be provided and participating teachers will be
paid an hourly stipend of $30/hour
Sessions will be facilitated by teacher leaders
Instructional material will be primarily on Interactive DVDs
prepared by mathematics and mathematics education
professors
Summer Session: Four days devoted primarily to the use of
technology to teach algebra

Teaching Algebra and Pre-algebra from a function perspective
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Addressing Algebra and Pre-algebra Content Expectations
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Exploring a variety of strategies/activities for teaching Algebra
and Pre-algebra effectively
Including activities that help teachers initiate changes in their
classrooms that will support the learning of a more diverse
population of students
Dr. Brenda Earhart
Director
KAMSC
Ms. Ruth Rowe
Assistant Superintendent,
Parchment
Dr. Jane-Jane Lo
Co-Director
KA2P
Dr. Ruth Ann Meyer
Director
KA2P
Mrs. Connie Doorlag
Associate Director
KA2P
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Visiting Faculty at WMU
Department Chair Universidad San
Francisco de Quito: 1997 - 2001
PhD - Wichita State University
Special Interests: Applied
Mathematics, Gender and
Mathematics Education
Modules
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Differentiated Algebra
Diversity I
Diversity II
Properties of Real Numbers
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Mathematics instructor at WMU
Retired high school mathematics
instructor
Special interest: Calculus
Modules:
◦ Exponential and Logarithmic Functions
◦ Mathematics Modeling I
◦ Mathematics Modeling II
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Assistant Professor at Miami University
PhD – WMU
Mathematics Education
Modules:
◦ Function of Proportion
◦ Rate
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Assistant Professor at WMU
PhD - University of Minnesota
Secondary Mathematics Education
Modules:
◦ Function Representation I
◦ Function Representation II
◦ Rational and Power Functions
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KVCC Mathematics Education
Instructor: 1990 – 2009
Masters in the Teaching of
Elementary Mathematics
KA2P Project Associate Director
Modules:
◦ Algebraic Reasoning
◦ Systems of Equations
◦ Teacher Facilitator
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Emeriti Faculty at WMU
WMU Professor: 1969-2008
PhD - University of Kentucky
Special Interest: Complex Numbers
Modules:
◦ Complex Numbers
◦ Sequences
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Graduate Student at WMU
Masters in the Practice of Teaching;
Intelligence Development and
Education
Intellectual Diagnose Specialist
Modules
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Differentiated Algebra
Diversity I
Diversity II
Properties of Real Numbers
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Graduate Assistant M2RI2
Math Education PhD student at
WMU
Focusing on the learning of PreAlgebra and Algebra
Modules:
◦ Connections
◦ Integers
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Associate Professor at WMU
PhD - Florida State University
Elementary Mathematics Education
Co-director KA2P grant project
Module:
◦ Function of Proportion
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Emeriti Faculty at WMU
WMU Professor: 1976-1999
PhD - University of Wisconsin
Mathematics Education
Director KA2P grant project
Modules
oAlgebraic Misconceptions
oAlgebraic Reasoning
oFunction Basics
oSystems of Equations
oTeacher Facilitator
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Professor at WMU
PhD – University of Michigan
Special Interest: Graph Theory
Module:
◦ Permutations, Combinations,
Pascal’s Triangle, and the Binomial
Theorem
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Emeriti Professor at WMU
WMU Professor: 1997-2008
PhD - University of Bucharest
Modules:
◦ Absolute Value
◦ Linear Programming
◦ Conic Sections
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Graphing Calculators
TI-84 Plus Silver Edition
TI-Nspire with CAS
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Fathom 2 and TinkerPlot software
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Professional development for grades 6-12 mathematics
teachers – during the school year and the summer
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Informational sessions for administrators
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Preparation of teacher facilitators/leaders
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Professional learning communities
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Technology/Materials
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Research/Evaluation
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131 participants
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24 facilitators
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23 districts
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40 schools
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48 Dinner/Dialogs held
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297 dinners purchased
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936 hours spent in professional development
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Catholic Schools of Greater Kalamazoo Facilitator
Molly Williamson
Comstock Facilitators
Margo Command-Heyman
Marla Reed
Kalamazoo Facilitator
Tina Tribu
Dr. Wendy Tackett
KA2P Project Evaluator
Dr. Jane-Jane Lo
KA2P Project Co-Director
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Investigate the common student strategies
and misconceptions about selected
algebraic ideas across grade levels.
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A written test was administrated to 169 students in
grades 6-8, Algebra 1 and Algebra 2.
Individual interviews were conducted with 24
selected students.
#1
#2
#3
#4
G6
G7
% of correct 4.5% 0%
responses
for each
grade/course
G8
A1
A2
7.7%
11.1% 27.5%
Verbal Description: Start with 3 dots; then add one group of
2’s each time.
Challenge:
How many groups of 2’s?
Verbal Description: Start with 1 dot; then add one group of
2’s each time.
Challenge:
How many groups of 2’s?
Verbal Description: In picture #1, there are 1 dot and 2 dots;
in picture #2, there are 2 dots and 3 dots….. So in picture
#100, there are 100 dots and 101 dots.
Answer:
201
Number Sentences:

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1) 3222...... 2
(add 2, 99 times)
2) 1222.....2
3) 100101
(add 2, 100 times)
General Rules:
1) y = 3+2(x-1) = 1+2x
2) y = 1+2x
3) y = x+(x+1)= 2x+1
x = the number of the picture, y = the number of dots in that
picture
x
1
2
3
4
…
y
3
5
9
11
…
x = the number of the picture, y = the number of dots in that picture
12
10
8
6
4
2
0
1
2
3
4
5
x = the number of the picture, y = the number of dots in that picture
•
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Geometrical Pattern problems are accessible to both the
middle school and high school students.
Increasing the experience with complex numerical
expressions in middle school may facilitate the learning of
symbolic expressions in high school.
Increasing attention to the connections among multiple
representations in high school will solidify student
reasoning with patterns.
Josh Goss
KA2P Project Graduate Assistant
Connie Doorlag
KA2P Project Associate Director
Modules already developed for next year:
Dr. Radu Teodorescu
Professor of Mathematics, Emeritus
Department of Mathematics
Western Michigan University
Dr. Ruth Ann Meyer
Professor of Mathematics, Emerita
KAAP Project Director
Western Michigan University
Differentiated Instruction in Algebra
Valentina Aguilar, Ph.D. Applied Mathematics
Department of Mathematics
Western Michigan University
Katya Gallegos, Specialist
Teaching, Learning and Educational Studies
Western Michigan University
a
f(a)
1
1
2
4
3
9
4
16
5
25
Dr. Jon Davis
Assistant Professor
Western Michigan University
Department of Mathematics
Dr. Radu Teodorescu,
Professor of Mathematics, Emeritus
Department of Mathematics,
Western Michigan University
Permutations, Combinations,
Pascal’s Triangle, and the
Binomial Theorem
Dr. Allen Schwenk
Professor of Mathematics
Department of Mathematics,
Western Michigan University
Valentina Aguilar, Ph.D. Applied Mathematics
Department of Mathematics, Western Michigan University
Katya Gallegos, Specialist
Teaching, Learning and Educational Studies,
Western Michigan University
The following topics are in the process of
being developed:
Dr. Radu Teodorescu,
Professor of Mathematics, Emeritus
Department of Mathematics,
Western Michigan University
Daniel Briggs
Western Michigan University Instructor
Retired High School Math Teacher
Dr. Ruth Ann Meyer
Professor of Mathematics, Emerita
Western Michigan University
a
f(a)
1
1
2
4
3
9
4
16
5
25
Dr. Jon Davis
Assistant Professor
Western Michigan University
Department of Mathematics
1
-2
-1
0
2
3
3
2
1
0
-1
-2
-3
-4
Joshua Goss
Research Assistant
Department of Mathematics
Western Michigan University
Dr. Dana Cox
Department of Mathematics
Miami University
Dr. Jon Davis
Assistant Professor
Department of Mathematics
Western Michigan University
T1
T2
T3
T4
T5
Dr. Paul Eenigenburg
Professor Emeritus
Department of Mathematics
Western Michigan University
Calculator Workshops
TI-Nspire
TI-84
June 21 – 24
June 28 – July 1
Middle School: Rood Hall, Rm. 3302
High School: Everett Tower, Alavi Commons
Middle School: Everett Tower, Alavi Commons
High School: Rood Hall, Rm. 3302
8:30 a.m. – 3:00 p.m.
Can earn 2 SB-CEU’s for full attendance
Earn a TI-Nspire or a TI-84 Plus calculator for full attendance
Continental Breakfast and Buffet Lunch provided
Free parking in Lot 61
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Calculator Follow-Up Workshops
◦ One in the fall; one in the spring
◦ Tentatively on a Friday or Saturday
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Professional Development Choices
◦ Six 3-hr DVD Dinner/Dialogs (DD’s)
 $30/hr stipend
 $10 dinner provided
◦ Five 3-hr DVD DD’s and four 1-hr Professional Learning
Communities (PLC’s)
 $30/hour stipend for DD’s with $10 dinner provided
 $30/session stipend for PLC’s
Statistics Training
TinkerPlots – Middle School
Fathom II – High School
http://www.keypress.com/x5715.xml
http://www.keypress.com/x5656.xml
3 day workshop
Earn single-user software for full attendance
Continental breakfast and lunch provided

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