2012solution treecommoncoreinaplc sessiont&lhandout
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Transcript of 2012solution treecommoncoreinaplc sessiont&lhandout
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Leading the Teaching and Learning of Mathematics in the CCSS Era! 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 CCSS content standards. (Conley, Drummond, Gonzalez, Rooseboom, & Stout, 2011)
Please place your confidence/anxiety Red sticky dot on the wall as you come in! Thank you!
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Dr. Timothy Kanold tkanold.blogspot.com
The Common Core States’ Standards
The CCSSI in mathematics and ELA were commissioned by the NGA and CCSSO in April, 2009
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The Common Core States’ Standards
Two Assessment Consortia
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The PARCC Consortium
• http://www.parcconline.org/
Smarter Balanced (SBAC)
• http://www.k12.wa.us/SMARTER/States.aspx
• A mix of item types – short answer and… longer open response performance-based
(Up to 50%)
• And richer multiple choice items
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State Assessment Improvements for Mathematics
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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?
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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 vision of the common core
Common Core Mathematics in a PLC at Work™ Series
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Our Common Core Mathematics in a PLC at Work™ 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)
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Our Common Core Mathematics in a PLC at Work™ Series
For Administrators: We provide the tools and resources needed to ensure a systemic teacher implementation of the Common Core… that is a sustainable solution
Our Common Core Mathematics in a PLC at Work™ Series
For Administrators: We provide the tools and resources needed to ensure a systemic teacher implementation of the Common Core… that is a sustainable solution
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Ch. 1: Using High Performing Collabora6ve Teams for Mathema6cs…
Be.er at …
Common Core Mathematics in a PLC at Work™ Series
A Unique CCSS Story – Built on a PLC @Work™ Foundation
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
Leading the Teaching and Learning of Mathematics in the CCSS Era!
Think about your teachers and teacher teams…
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The Seven Stages of Teacher Collaboration
Stage 1: Filling the time What exactly are we supposed to do?
Stage 2: Sharing personal practice What is everyone doing in their classroom?
Stage 3: Planning, planning, planning What should we be teaching and how do we lighten the load for each other?
The Seven Stages of Teacher Collaboration
Stage 4: Developing common assessments How do you know students learned? What does mastery look like?
Stage 5: Analyzing student learning Are students learning what they are supposed to be learning?
The Seven Stages of Teacher Collaboration
Stage 6: Adapting instruction to student needs How can we adjust instruction to help those students struggling and those exceeding expectations?
Stage 7: Reflecting on instruction Which Mathematical Practices are most effective with our students for THIS lesson or Unit?
How students learn... and demonstrate proficiency in Mathema7cs…
h.p://www.flickr.com/photos/shawnparkerphoto/6637823915/in/photostream/
THE CCSS TPOV About Mathematics Instruction
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
The Common Core Standards for Mathema7cal Prac7ce
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The Standards for Mathematical Practice (See Handout)
Choose Practice 3 or 4 or 6 Highlight the verbs that illustrate student actions! Circle, highlight or underline phrases for your chosen practice…
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The Standards for [Student] Mathematical Practice
The 8 Standards for Mathematical Practice – place
an emphasis on student demonstrations of learning
The Standards for Mathematical Practice
MP # 3 Construct viable arguments and critique the reasoning of others
1) Students make conjectures 2) Students justify their conclusions and communicate them to others
3) Students compare the effectiveness of two plausible arguments
4) Students listen and respond to the arguments of others for sense making and clarity 27
The Standards for Mathematical Practice (Reproducible)
Rich Mathematical Tasks… Qualitative Reasoning and McDonald’s
With a shoulder partner!
Wikipedia reports that 8% of all Americans eat at McDonalds every day
310 Million Americans and 12,800 McDonalds…
Make a conjecture and create a mathematical argument… 28
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The Standards for [Student] Mathematical Practice
SMP # 4 Model with Mathematics Mathematically proficient students can apply the mathematics they know to solve problems arising in
everyday life, society, and the workplace…
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The Standards for [Student] Mathematical Practice
SMP # 2 Reason abstractly and quantitatively
Mathematically proficient students make sense of quantities and their
relationships in problem situations…
How could this become part of your every Unit lesson planning?
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SMP 6: Attend to precision • state the meaning of the symbols they use
• label the axes to clarify context of the problem
Comic: h.p://forums.xkcd.com/viewtopic.php?f=7&t=66819 © InsRtute for MathemaRcs & EducaRon 2011
Effective Checks for Understanding
Where are the most significant conversations taking place (student to teacher, student to student, teacher to student)?
Do students use each other as reliable and valuable resources?
Meaningful Mathematics
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.9-10
CCSS Mathematical Practices Lesson Design Tool p.58
Take a moment to scan the elements of this lesson design and/or reflection tool… A focus on: Differentiated Instruction Mathematical practice development Meaningful tasks that require student engagement
CCSS Mathematics Instruction
The CCSS expects a blend of student demonstrations of conceptual understanding with procedural fluency
One should not exist without the other…
TIME…? 36
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Ch. 3: Implemen6ng the CCSS Mathema6cs Content
Be.er at …
Learning How trumps Learning What
The CCSS require a paradigm shift to a “less (fewer standards) is more (deeper rigor with understanding)” at every grade level.
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CCSS in Mathematics
The Domains, Clusters, Standards Grade 6-7
Five Domains: Ratio and Proportional Relationships The number System Expressions and Equations Geometry Statistics and Probability
CCSS in Mathematics
Grade 7 9 Clusters around 29 Standards
The Grain size of change for a unit is No longer a Standard a day… p.83
CCSS in Mathematics Content
High School Standards…
One body of College and Career Readiness Standards… built upon 6 Conceptual Categories
Sustainable Implementation Support books
Tools (diagnostic and design) resources, stories, examples, samples and activities to help you become highly effective at…!
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Team Task Analysis Tool (Ch.2) p. 11
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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?
High-‐Leverage Teaching and Learning Prac6ces.
CCSS in a PLC!
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Dr. Timothy Kanold tkanold.blogspot.com