1. 6/14/12
Leading the Teaching and Learning
The Common Core States’
of Mathematics in the CCSS Era! Standards
College instructors rate the Mathematical Practices
as being of higher value for students to master in
order to succeed in their courses than any of the The CCSSI in mathematics
CCSS content standards.
(Conley, Drummond, Gonzalez, Rooseboom, & Stout, 2011) and ELA were commissioned
by the NGA and CCSSO in
Please place your confidence/anxiety
Red sticky dot on the wall as you come April, 2009
in! Thank you!
Dr. Timothy Kanold
tkanold.blogspot.com
tkanold@d125.org 1
2
The Common Core States’
The PARCC Consortium
Standards
Two Assessment Consortia
3
• http://www.parcconline.org/
State Assessment Improvements
Smarter Balanced (SBAC) for Mathematics
• A mix of item types – short answer
and… longer open response
performance-based
(Up to 50%)
• And richer multiple choice items
• http://www.k12.wa.us/SMARTER/States.aspx 6
1

2. 6/14/12
The CCSS Great
Adventure Question!
What makes us believe there
will be something powerful
enough in the CCSS to achieve
meaningful mathematics
learning for ALL children
grades K-12?
7
The Answer
It is NOT the Standards that will
ultimately improve student
achievement…
What matters is the vital adult
behaviors and the knowledge
Capacity of all adults…for
implementing and sustaining the
9
vision of the common core
Common Core Our Common Core Mathematics in
Mathematics in a PLC at Work™ a PLC at Work™ Series
Series
For Teachers: We provide tools and
resources that focus their limited
time & energy toward actions for
improving students’ mathematics
performance on a unit-by-unit
basis.
We do not waste their time. (P. 37-38)
r
11
2

3. 6/14/12
Our Common Core Mathematics in Our Common Core Mathematics in
a PLC at Work™ Series a PLC at Work™ Series
For Administrators: We provide the For Administrators: We provide the
tools and resources needed to tools and resources needed to
ensure a systemic teacher ensure a systemic teacher
implementation of the Common implementation of the Common
Core… that is a sustainable Core… that is a sustainable
solution solution
2000 Ch.
1:
Using
High
Performing
Collabora6ve
Teams
for
Mathema6cs…
2008
Be.er
at
…
Common Core Mathematics in a PLC Leading the Teaching and Learning
at Work™ Series of Mathematics in the CCSS Era!
A Unique CCSS Story – Built on a PLC
@Work™ Foundation Think about your teachers and
teacher teams…
Perhaps the most notable feature of this
book is not merely the competence
of the content, but the underlying
spirit of commitment to equity that
pervades every page…
- Doug Reeves
17
Dr. Timothy Kanold tkanold.blogspot.com 18
3

4. 6/14/12
The Seven Stages of Teacher The Seven Stages of Teacher
Collaboration Collaboration
Stage 1: Filling the time Stage 4: Developing common
What exactly are we supposed to do? assessments
How do you know students learned?
Stage 2: Sharing personal practice What does mastery look like?
What is everyone doing in their
classroom?
Stage 5: Analyzing student learning
Stage 3: Planning, planning, planning Are students learning what they are
supposed to be learning?
What should we be teaching and how
do we lighten the load for each other?
h.p://
The Seven Stages of Teacher www.flickr.com/
photos/
Collaboration shawnparkerphoto/
6637823915/in/
photostream/
Stage 6: Adapting instruction to student
needs
How can we adjust instruction to help
those students struggling and those
exceeding expectations? How
students
learn...
and
Stage 7: Reflecting on instruction demonstrate
Which Mathematical Practices are most proficiency
in
effective with our students for THIS Mathema7cs…
lesson or Unit?
The
Common
Core
Standards
for
THE CCSS TPOV About Mathematics
Instruction Mathema7cal
Prac7ce
TPOV: Unit and Lesson design will
require a depth of conceptual
understanding and procedural
fluency regardless of the content…
demonstrated by the students.
Built on a foundation of the 8 standards
for Mathematical Practice
4

5. 6/14/12
The Standards for Mathematical The Standards for [Student]
Practice (See Handout) Mathematical Practice
Choose Practice 3 or 4 or 6 The 8 Standards for
Highlight the verbs that illustrate Mathematical Practice – place
student actions! an emphasis on student
demonstrations of learning
Circle, highlight or underline
phrases for your chosen
practice…
25 26
The Standards for Mathematical The Standards for Mathematical
Practice Practice (Reproducible)
MP # 3 Construct viable arguments and Rich Mathematical Tasks…
critique the reasoning of others Qualitative Reasoning and McDonald’s
1) Students make conjectures
With a shoulder partner!
2) Students justify their conclusions
and communicate them to others Wikipedia reports that 8% of all
3) Students compare the effectiveness Americans eat at McDonalds every
of two plausible arguments day
4) Students listen and respond to the 310 Million Americans and 12,800
McDonalds…
arguments of others for sense making
Make a conjecture and create a
and clarity 27
mathematical argument… 28
The Standards for [Student] The Standards for [Student]
Mathematical Practice Mathematical Practice
SMP # 4 Model with Mathematics SMP # 2 Reason abstractly and
Mathematically proficient students quantitatively
can apply the mathematics they Mathematically proficient students
know to solve problems arising in make sense of quantities and their
everyday life, society, and the relationships in problem
workplace… situations…
How could this become part of
29
your every Unit lesson planning? 30
5

6. 6/14/12
SMP 6: Attend to precision Effective Checks for Understanding
• state
the
meaning
of
the
symbols
they
use
Where are the most significant
• label
the
axes
to
clarify
context
of
the
conversations taking place (student to
problem
teacher, student to student, teacher
to student)?
Do students use each other
as reliable and
valuable resources?
Comic:
h.p://forums.xkcd.com/viewtopic.php?f=7&t=66819
 ©
InsRtute
for
MathemaRcs
&
EducaRon
2011
CCSS Mathematical Practices Lesson
Meaningful Mathematics Design Tool p.9-10
References the context for the lesson as
containing elements that create
meaning, reasoning and sense
making for the student
Lesson Planning from the
Students’ Point of View
CCSS Mathematical Practices
Lesson Design Tool p.58 CCSS Mathematics Instruction
The CCSS expects a blend of
Take a moment to scan the elements student demonstrations of
of this lesson design and/or reflection conceptual understanding with
tool… procedural fluency
A focus on:
Differentiated Instruction
One should not exist
Mathematical practice development
without the other…
Meaningful tasks that require student
engagement TIME…?
36
6

7. 6/14/12
Learning How trumps
Ch.
3:
Implemen6ng
Learning What
the
CCSS
Mathema6cs
The CCSS require a paradigm shift
to a “less (fewer standards) is more
Content
(deeper rigor with understanding)”
at every grade level.
Be.er
at
…
38
CCSS in Mathematics CCSS in Mathematics
The Domains, Clusters, Standards Grade 7
Grade 6-7 9 Clusters around 29
Five Domains: Standards
Ratio and Proportional Relationships
The number System
Expressions and Equations
The Grain size of change for
Geometry a unit is No longer a
Statistics and Probability Standard a day… p.83
Sustainable Implementation
CCSS in Mathematics Content Support books
High School Standards…
Tools (diagnostic and design)
resources, stories, examples,
One body of College and
samples and activities to help you
Career Readiness
become highly effective at…!
Standards… built upon 6
Conceptual Categories
7

8. 6/14/12
High-­‐Leverage
Teaching
and
Team Task Analysis Tool (Ch.2)
p. 11 Learning
Prac6ces.
Examine
the
Six
high-­‐leverage
Teaching
and
Learning
Team
Prac7ces
Choose
one
of
them,
and
rank
your
current
teams
for
their
actual
level
of
implementa6on…
In
2012-­‐2013
–
how
will
you
help
to
close
that
gap?
43
CCSS in a PLC!
Dr. Timothy Kanold
tkanold.blogspot.com
45
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