Title: Happy Birthday CRMC
1Happy Birthday CRMC
20 Years!
2Happy Birthday
20 Years!
3In mathematics there are VARIABLES and CONSTANTS
During CRMCs twenty year history there have been
many variables, but one constant.
Ruby A. Tucker
4R Responsible Whatever task was asked of Ruby,
I was ALWAYS sure it would be well done.U
Unassuming Ruby is a wonderful unassuming
personthere is not a pretentious bone in her
body! And she is always ready to give credit to
others.B Beautiful spirit It was a privilege to
get to know Ruby. She is a beautiful spirit and
is the first to see the beautiful spirit in
other, especially children.Y Young at heart.
Rubys energy keeps us young at heart Helen
P. Collins
5Whenever I think about my time at CRMC even
beyond the PRIME camps the one face I see every
time is that of Ruby Tucker- her smile, bright
eyes and eager-to-be-of-assistance-demeanor. The
thing about Ruby you never really had to ask
her to do anything by the time youd figure out
something needed doing, Ruby was always busy
getting it done! What a real jewel!Susan Pruet
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7Ruby is CRMC's value-added resource. She has a
love and appreciation for the great lessons and
activities whose dusty pages might be passed over
for the glossy print. Ruby always cheered when I
dug out some of my favorite activities on
yellowed, faded pages or even purple ditto
sheets. She is a champion for the best
mathematics for every student. She has cheerfully
served as a mentor and coach. She has earned an
advanced degree in cutting and pasting and an
award for best supporting actress in the
Phillips/Tucker Road Show. Ruby's service to the
mathematics community proves that the best things
in life and at CRMC are free. Thanks, Ruby.
Kitty Fouche
8I was blessed to be able to work alongside Ruby
when I came to the Collaborative as the secondary
resource teacher. I learned so much from her
example then. I am especially blessed, as is
everyone associated with the Collaborative that
Ruby continues to be a shining example for all of
us. She is both a mentor and a friend! Kenneth
Jones
9Ruby A. Tucker PRIME Scholarship
- This scholarship, administered by the CSU
Foundation, will provide financial assistance to
help girls with financial need attend PRIME Camp.
10CRMC First Director
- Helen Purks Collins
- 1989-1995, 1998
11CRMCthe earliest days
121989 The Ford Foundation
- 8,000 matching grant
- to create a local urban math collaborative
131989 The Ford Foundation
- Existing Mathematics Collaboratives
- Cleveland
- Minneapolis-St. Paul
- San Francisco
- Philadelphia
- Los Angeles
- Pittsburgh
- New Orleans
- St. Louis
- Raleigh-Durham
- Memphis
- San Diego
14- We needed to
- write the grantthe original collaborative was
for high school teachers - enlist area school system support
- create a board of business and industry leaders
and educators (the collaboration) - raise 8,000
15- CADRE of TEACHERS
- Chattahoochee Council of Teachers of Mathematics,
NCTM affiliate
16- Former Mayor Bill Feighner
- Hosted luncheon
- Helped develop the board
- Gene Demonet,Chairman of the Board
- Frank Brown
- Jim Ballengee
- John Boland
- Joyce Lee
- Glenn Vaughn
- Rolla Baumgartner
- Bob Bushong
17 18Birds of a Feather
19- Ford Foundation
- 10,000
- NRM
20- C to Shining C
- Collaborative to Shining Collaborative
- 10,000 Travel Grant
21- PRIME
- Positive Reinforcement
- in Mathematics Education
- Kitt Lumley
- Ruby Tucker
22- Woodrow Wilson Foundation
- Pam Coffield
- Statistics and Data Analysis
- Geometry
-
23Mathematical Modeling
24- Multiple grants per year
- High School Teachers
- Middle School
- Elementary
-
25The Knight Foundation
-
- 30,000 for Prep PRIME
- Telephone call from Knight
- Think BIGGER
- 250,000
- Algebra for All
26- Provided leadership
- for initiatives
- for the state of Georgia
- Project 92
- SYNERGY
27CRMC
28Birds of a Feather
29- Improve math education for our students
-
30- Develop Teacher Leaders
- CRMC!
31CRMC Second Director
32CRMC Events 1997-1999
- Great New Hires!
- Elementary Math/Science Camps
- MathFest
- CSU-Math Department/CRMC grant
- College Algebra through Mathematical Modeling
- CRMC moved to Center for Excellence in
Math/Science Education (CEMSE)
33My Favorite Problem from Columbus
Fractions Food Andughh Dieting
Just in time for Thanksgiving!
34The Turkey Problem
- Susans diet allows her to eat ¼ pound of turkey
breast. She ordered ¼ pound of turkey from the
local deli. - The sales person sliced 3 uniform slices, weighed
the slices, and said, This is a third of a
pound. - So, how many of the 3 turkey slices could Susan
eat and stay on her diet and get to eat as much
as she is allowed?
35CRMC Third Director
36Connecting the Dots Seeing the Whole Picture
- Ann Assad
- Austin Peay State University
- Clarksville, Tennessee
37Emerging research and recently published
documents guided our work.
38National Council of Teachers of
MathematicsPrinciples and Standards for School
Mathematics (2000)
- Emphasis on the Process Standards
- Problem Solving
- Reasoning and Proof
- Communication
- Connections
- Representation
39- Integration of Six Guiding Principles across the
Standards - Equity high expectations and strong support for
all students. - Curriculum a coherent curriculum, well
articulated across the grade levels. - Teaching challenging students and supporting
their learning. - Learning actively building knowledge through
experience and prior knowledge. - Assessment providing useful information for
both teacher and student. - Technology influences the mathematics that is
taught and enhances students learning. -
40Education Development CenterK-12 Curriculum
Summaries (1998, 2005)
- Provides information about research-based
curricula for elementary, middle grades, and high
school.
41Education Development CenterChoosing a
Standards-Based Curriculum (2000)
- Provides guidance in reviewing standards-based
curricula and for selecting and implementing
curricula.
42Based on these documents, along with current
research, CRMC developed a vision of P-12
mathematics education that integrated curriculum,
teaching, and learning both horizontally (within
grade levels) and vertically (between grade
levels).
43The implementation of this vision was the
development of three integrated projects funded
by Improving Teacher Quality State Grants
(formerly Eisenhower).
44Teachers came together to share and learn.
45Students and teachers worked together in camps
and classrooms.
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47We relentlessly solved problems (and still do).
48A Question What is the relationship between the
area of a great circle of a sphere and the
surface area of the sphere?
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52Data Collected by Students
53Data Collected by Students
54Area of a circle Ac pr2Surface area of a
sphereAs 4 pr2 AsAc 4
Compare our results to the formulas for area.
55Some problems to think about.
56What is the minimum number of angle measures you
need to have in order to know the measures of all
the angles in the triangles represented here?
From Fostering Geometric Thinking A Guide for
Teachers Grades 5-10 by Mark Driscoll
57Find four points in a plane that can serve as the
vertices for two different but congruent
quadrilaterals. ? ? ? ?
From Fostering Geometric Thinking A Guide for
Teachers Grades 5-10 by Mark Driscoll
58CRMC Fourth Director
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60- Wrap a string around the blob. Then use the
string to form a rectangle. Find the area of the
rectangle. This area will be the same as the area
of the blob?
61- I would say this was a very creative way to come
up with the solution to this problem. I would
commend him for his intelligent and creative
thinking.
62- I would say he has definitely understood the
concept of area.
63- I would tell him that his answer was very
brilliant and would congratulate him.
64- I would say the student was rather ingenious to
have thought of the method to find area. It shows
hes thinking ahead and knows what he is doing. I
would praise him on his work.
65- First I would comment that he/she has done a good
job, and that this way is a possibility. However,
there is a simpler way. Simply do what she/he has
done to start but a rectangle may be difficult to
form. Simply form the string into a square or a
triangle or even better simply measure the piece
of string on a ruler and the measurement will
give you the area.
66- A very good start Karen! You are on the right
track. Isnt that blob shaped more like a circle?
(Karen agrees and proceeds to find the area of
the circle.
67- Mouse and Elephant Measuring Growth
- Middle Grades Project
- by
- Fitzgerald, Phillips, Lappan, Winter, and Shrover
68- Spaghetti and Meatballs for All
- by
- Marilyn Burns
69NCTM Illuminations LessonApple Pi
70A very good start Karen! You are on the right
track. Isnt that blob shaped more like a circle?
(Karen agrees and proceeds to find the area of
the circle.
71Finding the Area of a Circle Use a Cake Pan and
Leave Out the PiArithmetic TeacherMay
1986byWalter Szetela Douglas T. Owens
72Method 1Counting squares
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76Take mean ofUnderestimateandOverestimate
77Developing an Area Formula for a Circle with
"Goldilocks and the Three Bears"
Jerry A. AmeisMathematics Teaching in the
Middle SchoolNovember 2001, Volume 7, Issue 3,
Page 140
78Method 2Inscribed and circumscribed squares
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82Take mean ofUnderestimateandOverestimate
83Method 3Octagonal (Egyptian) method
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89Method 4Weighing method
90Method 5Random numbers
91Method 6Parallelogram
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102Area of Rectangle L WL ½ the circumferenceL
½ (2 ? r)W rArea of Rectangle ½(2
?r)rArea of Circle ? r2
103Method 7Marble rectangle
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105Understanding the area of a circle formula is as
easy as Pi.Lets get cooking.
106Title ??????
107CRMC Fifth Director
108Where are the answers?
109Do we answer the questions or question the
answers?
110How has CRMC survived for 20 years?
- Weve stood on the shoulders of giants
- Weve had the support of local school systems,
CSU, local businesses, and the local community - Weve been responsive to change
- Weve empowered teachers
- Weve questioned the answers rather than
answering the questions
111Where do we go from here?
- We have to continue to
- Navigate the Trails of Change
112Navigating the Trails of Change
113A Mathematical Problem
From the NCTM Illuminations website. The complete
lesson is available by going to www.nctm.org,
going to the Illuminations section and searching
for maze.
114Implications
- Even small changes can make a big difference
- Big changes make and even bigger difference
- New paths are being added and old paths are being
removed
115It is not the strongest of the species that
survive, nor the most intelligent, but the one
most responsive to change. - Charles Darwin
116Vision is perhaps our greatest strength.. it has
kept us alive to the power and continuity of
thought through the centuries it makes us peer
into the future and lends shape to the
unknown. - Li Ka Shing
117- We have to continue to
- Navigate the Trails of Change
To provide more, and better mathematics for ALL
students!
118- You know a dream is like a river, ever changing
as it flows.And a dreamer's just a vessel that
must follow where it goes.Trying to learn from
what's behind you and never knowing what's in
store makes each day a constant battle just to
stay between the shores.
119- And I will sail my vessel 'til the river runs
dry.Like a bird upon the wind, these waters are
my sky.I'll never reach my destination if I
never try,So I will sail my vessel 'til the
river runs dry.
120- Too many times we stand aside and let the water
slip away.To what we put off 'til tomorrow has
now become today.So don't you sit upon the shore
and say you're satisfied.Choose to chance the
rapids and dare to dance the tides. - Garth Brooks, song "The River" co-written with
Victoria Shaw
12120 Years of Mathematics along the
Chattahoochee--Lets keep it going!