Transcript Do to Classroom to Do with Classroom

Middle School Math Initiative for
Florida
Rigor
Relevance
Reading
Florida and the Islands Comprehensive Center at ETS
International Center for Leadership in Education
Florida Council of Teachers of Mathematics
Florida Department of Education
Understanding Probability
S = Sample Space
The Sample Space is the set of all possible
outcomes in a probability experiment.
Let S = { 1,2,3,4,5,6,7,8,9,10}
then n(S)=10
Find n(A) if A = {the whole numbers between 5 and 12}
n(A) = 6
since
A = {6,7,8,9,10,11}
An Event consists of a set of outcomes of
a probability experiment.
The probability, P, of Event (E) with sample
space, S,
is defined as the ratio of n(E) to n(S)
i.e.,
P(E) =
n(E)
n( S)
A bag of marbles has 3 red and 2 green
marbles in it.
n(S) = 5
E= pull out a green marble
Find the probability of pulling
out a red marble if you put your
hand in the bag and pull out one
marble. Find P(E).
Another way to say
that:
n(successes)
P(Red) =
n(total outcomes)
Find P(green) =
2
5
=
3
5
What is the highest a probability
value can be?
What is the lowest a probability
value can be?
In fact,
0≤p ≤1
Or, if you prefer to use percents:
Every probability is between 0% and 100%.
In summary………
Sample Space
Event
P(E) = n(E)
n( S)
Successful Curriculum Reform
Why
What
Do we need
to change
schools?
Needs to
be done?
How
Do we
do it?
Philosophy
 Rigor
 Relevance
 Relationships
 All Students
Philosophy
 Relationships
 Relevance
 Rigor
 All Students
Rigor
Rigor Means
• Level of critical
thinking skills
• Level of math
application
Relevance
Relevance is more than passing the math
FCAT
My only
skill is
taking
tests
All Students
Rigor/Relevance Framework
6 Knowledge
5
4
C
D
A
B
3
2
1
Application
1
2
3
4
5
Assimilation
of knowledge
Thinking
Continuum
Acquisition
of knowledge
Knowledge Taxonomy
6. Evaluation
5. Synthesis
4. Analysis
3. Application
2. Comprehension
1. Recall Knowledge
Action
Continuum
Acquisition
of knowledge
Application
of knowledge
Application Model
5 Application to real-world
unpredictable situations
4 Application to real-world
predictable situations
3 Application across
disciplines
2 Application within discipline
1 Knowledge of one discipline
R&R Framework ...
A Useful Tool to evaluate
 Curriculum
 Instruction
 Assessment
 Activities
Quadrant D Lessons
 6th Grade Math Big / Supporting Ideas
 District Need / Big / Supporting Idea
 6th Grade Student Interest
 70 Quadrant D 6th Grade Lessons
 Edited
 Posted Online by FLDOE
CORR
Collaborating
Online for
Rigor and
Relevance
COMPONENTS
Apply
Share
Develop
Connect
Explore
Strategies for Increasing Reading
Comprehension in Mathematics
Teaching key reading
comprehension
strategies for only 15
minutes a week can
significantly increase
student achievement.
Reading Comprehension Strategies
 Affinity
 Pairs-Read
 Anticipation Guide
 Paraphrasing
 Cloze
 QAR
 Concept Definition Map
 RAFT
 Cornell Graphic Organizer
 Reciprocal Teaching
 DR/TA
 Rock Around the Clock
 Fishbone
 SQ3R
 K-W-L-S
 Structured Note-taking
 Learning Logs
 Summarizing
 Minute Paper
 Venn Diagram
 Vocabulary in Context
Concept
Definition Map
Reading Comprehension Strategy
DIRECT READING/
THINKING ACTIVITY
Reading Comprehension Strategy
SQ3R
Survey-Question-Read-Recite-Review
Reading Comprehension Strategy
CLOZE
Reading Comprehension Strategy
VENN DIAGRAM
Reading Comprehension Strategy
It’s All About Math!
Middle School Mathematics
Initiative!
“A Journey Towards
Mathematics Excellence”
FASA Super Conference
July 20, 2007
It’s All About Math!
Sponsored by:
Florida Department of Education
Florida and the Islands
Comprehensive Center at ETS (FLICC)
In Partnership with:
The International Center for Leadership in Education
ESCORT
Florida Council of Teachers of Mathematics
PAEC
It’s All About Math!
Participants:
2006 - 2008 First Cohort
30 Participating Districts
Lab Schools
Charter School
Florida School for the Deaf and Blind
It’s All About Math!
Goals:
•Increase the rigor and relevance of middle school mathematics
instruction with a focus on sixth grade
•Increase the use of research-based literacy strategies for use in middle
school mathematics classrooms
•Increase the use of data to inform instruction
•Build a statewide support network focused on the improvement of
middle school mathematics curriculum and instruction
•Increase awareness of new Florida mathematics standards and
legislation impacting middle school mathematics classrooms
It’s All About Math!
Regional Workshops:
Year 1
2 Regional Institutes
Increasing Rigor and Relevance in the Mathematics Classroom
Strategic Reading in the Content Areas
Summer Institute
Teaching to Mastery – Focus on Using the New Florida
Achieve High Levels of Learning
for
All Students
Standards for Mathematics to
It’s All About Math!
Regional Workshops:
Year 2
3 Regional Institutes
Using the New Mathematics Standards to develop Content Modules
Closing the Achievement Gap – Strategies to Help Struggling
Students
Building Student/Teacher Relationships: Transitioning to
Middle School
It’s All About Math!
Materials/Resources:
Rigor / Relevance Handbook
Instructional Strategies Handbook
Curriculum Matrix Kit
Strategic Reading in the Content Area Kit
1 Year Membership in the Successful Practices Network
Support of a Liaison
Opportunity for 25 teachers to participate in Collaborating Online for
Rigor and Relevance (CORR)
I have come to a frightening conclusion.
I am the decisive element in the
classroom. It is my personal approach
that creates the climate. It is my daily
mood that makes the weather. As a
teacher, I possess tremendous power to
make a child's life miserable or joyous. I
can be a tool of torture or an instrument
of inspiration. I can humiliate or humor,
hurt or heal. In all situations, it is my
response that decides whether a crisis
will be escalated or de-escalated, and a
child humanized or de-humanized."
Haim Ginott
Rigor/Relevance Framework
6
5
4
3
2
1
•
•
•
•
Analyze the graphs of the perimeters •
and areas of squares having
different-length sides.
•
Determine the largest rectangular
area for a fixed perimeter.
Identify coordinates for ordered pairs •
that satisfy an algebraic relation or
function.
Determine and justify the similarity or •
congruence for two geometric
shapes.
Obtain historical data about local weather to
predict the chance of snow, rain, or sun
during year.
Test consumer products and illustrate the
data graphically.
Plan a large school event and calculate
resources (food, decorations, etc.) you need
to organize and hold this event.
Make a scale drawing of the classroom on
grid paper, each group using a different scale.
• Express probabilities as fractions,
percents, or decimals.
• Classify triangles according to angle
size and/or length of sides.
• Calculate volume of simple threedimensional shapes.
• Given the coordinates
of a
• Calculate percentages of advertising in a
quadrilateral, plot thenewspaper.
quadrilateral on
• Tour the school building and identify
a grid.
examples of parallel and perpendicular
C
A
B
A
1
D
lines, planes, and angles.
• Determine the median and mode of real
data displayed in a histogram
• Organize and display collected data, using
appropriate tables, charts, or graphs.
2
3
4
5
Rigor/Relevance Framework
6
5
4
•
•
•
•
3
•
2
•
•
1
•
Obtain historical data about local weather
to predict the chance of snow, rain, or sun
during year.
Test consumer products and illustrate the
data graphically.
Plan a large school event and calculate
resources (food, decorations, etc.) you
need to organize and hold this event.
Make a scale drawing of the classroom on
grid paper, each group using a different
scale.
• Calculate percentages of
advertising in a newspaper.
•
• Tour the school building
and
•
identify examples of parallel and
perpendicular lines,
planes, and
•
angles.
• Determine the median and mode of
real data displayed in a histogram
Express probabilities as fractions,
percents,
or decimals. and display collected
• Organize
Classify triangles according to
data,
appropriate tables,
angle size
and/orusing
length of sides.
Calculate volume of simple threecharts, or graphs.
dimensional shapes.
Analyze the graphs of the
perimeters and areas of squares
having different-length sides.
Determine the largest rectangular
area for a fixed perimeter.
Identify coordinates for ordered
pairs that satisfy an algebraic
relation or function.
Determine and justify the
similarity or congruence for two
geometric shapes.
C
D
B
A
• Given the coordinates of a
quadrilateral, plot the quadrilateral
on a grid.
1
2
B
3
4
5
Rigor/Relevance Framework
•
6
4
3
•
2
•
•
1
• Analyze the graphs of the perimeters
•
and areas of squares
having
•
different-length sides.
• Determine the largest rectangular
•
area for a fixed perimeter.
• Identify coordinates for ordered pairs
that satisfy an algebraic relation or
• Calculate percentages of advertising in a
Express function.
probabilities as fractions,
newspaper.
percents, or decimals.
• Tour the
school
building and identify
• Determine
and justify
the
similarity
or
Classify
triangles according to
examples of parallel and perpendicular lines,
angle size and/or length of sides.
congruence for twoplanes,
geometric
and angles.
Calculate volume of simple three• Determine the median and mode of real
dimensional
shapes.
shapes.
data displayed in a histogram
D
C
5
Obtain historical data about local weather
to predict the chance of snow, rain, or sun
during year.
Test consumer products and illustrate the
data graphically.
Plan a large school event and calculate
resources (food, decorations, etc.) you
need to organize and hold this event.
Make a scale drawing of the classroom on
grid paper, each group using a different
scale.
A
• Given the coordinates of a
quadrilateral, plot the quadrilateral
on a grid.
1
2
C
B
• Organize and display collected data, using
appropriate tables, charts, or graphs.
3
4
5
Rigor/Relevance Framework
6
5
4
•
•
•
•
3
•
2
•
•
1
•
• Obtain historical data about local
weather to predict the chance of
snow, rain, or sun during year.
• Test consumer products and
illustrate the data graphically.
• Plan a large school event and
calculate resources (food,
decorations, etc.)• you
need
to of advertising in a
Calculate
percentages
Express probabilities as fractions,
newspaper.
percents,organize
or decimals. and hold this
event.
•
Tour
the
school building and identify
Classify triangles according to
examples
parallel and perpendicular
Make
a scale
of ofthe
angle• size
and/or length
of sides.drawing
lines, planes, and angles.
Calculate volume of simple threeclassroom on grid• paper,
each
Determine the
median and mode of real
dimensional shapes.
data displayed in a histogram
Given the
coordinates
of a
group
using
a different
scale.
• Organize and display collected data, using
Analyze the graphs of the
perimeters and areas of squares
having different-length sides.
Determine the largest rectangular
area for a fixed perimeter.
Identify coordinates for ordered
pairs that satisfy an algebraic
relation or function.
Determine and justify the similarity
or congruence for two geometric
shapes.
C
D
A
B
quadrilateral, plot the quadrilateral
on a grid.
1
2
D
appropriate tables, charts, or graphs.
3
4
5