Transcript of STANDARDS FOR MATHEMATICAL PRACTICE Fran Gibson. 2 WELCOME!! Find a seat. Make a name tent.
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- STANDARDS FOR MATHEMATICAL PRACTICE Fran Gibson
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- 2 WELCOME!! Find a seat. Make a name tent.
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- 3 NORMS We can learn from one another. No question is a waste
of time. Challenge your thinking. Confusion is part of the
journey.
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- 4 What is the Common Core?
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- 5 Overarching Goals for K-12 CCSS Ensure that our students are:
Meeting college and work expectations. Prepared to succeed in our
global economy and society. Provided with rigorous content and
applications of higher knowledge through higher order thinking
skills.
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- 6 Standards Within the CCSS Standards for Mathematical Practice
Recur throughout the grades Standards for Mathematical Content
Differ at each grade level in grades K-8 Written for each domain
within the high school conceptual categories
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- 7 Research Foundation Strands of Mathematical Proficiency
Strategic Competence Adaptive Reasoning Conceptual Understanding
Productive Disposition Procedural Fluency NRC (2001). Adding It Up.
Washington, D.C. National Academies Press.
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- 8 SBAC Practice Test Gr. 3,4,5
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- 9 Research Foundation Strands of Mathematical Proficiency
Strategic Competence Adaptive Reasoning Conceptual Understanding
Productive Disposition Procedural Fluency NRC (2001). Adding It Up.
Washington, D.C. National Academies Press.
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- 10 Why bother? http://www.youtube.com/watch?v=JUs7iG1mNjI
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- 11 Standards for Mathematical Practice 1. Make sense of
problems and persevere in solving them. 2. Reason abstractly and
quantitatively. 3. Construct viable arguments and critique the
reasoning of others. 4. Model with mathematics. 5. Use appropriate
tools strategically. 6. Attend to precision. 7. Look for and make
use of structure. 8. Look for and express regularity in repeated
reasoning.
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- 12 Standards for Mathematical Practice In your group: Write the
title of your Math Practice on the top of your chart paper Make a t
chart under the title Label the columns with TEACHER and
STUDENT
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- 13 The Common Core Classroom With your group, find your
standard on the Howard County, MD Standards for Mathematical
Practice document. Read the student behavior column and discuss
with your group Think of a statement/phrase (or two) describing the
math student you are reading about. Write your descriptions on the
STUDENT side of your poster.
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- 14 CA Mathematics Framework Look over your SMP progression
Discuss with your group: What scaffolds do you see? What themes are
evident?
http://www.cde.ca.gov/ci/ma/cf/draft2mathfwchapters.asp/
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- 15 CA Mathematics Framework After reading over your math
practice: Add to the descriptions of the STUDENTS at your grade
level.
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- 16 The Common Core Classroom How do we do it? Teacher Behaviors
Howard County KATM Questions Classroom Structures to get students
talking
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- 17 The Common Core classroom Take a look at the Howard County
Teacher column and the KATM questions. Read the Teacher strategy
column Describe the math teacher you are reading about. Write in
the TEACHER column. Add any powerful questions (KATM) in the
TEACHER column. What are you doing already? What are you setting a
goal to do?
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- 18 Teaching Behavior Shifts
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- 19 Teaching Behavior Shifts
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- 20 Observe for Standards for Math Practice In your group, look
over your Math Practice Standard Decide who will be observing the
teacher and who will be observing the students Collect 1-2 pieces
of evidence showing your Standard for Mathematical Practice Share
your evidence with the group
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- 21 Standards for Mathematical Practice Add any observable data
from the video to either the STUDENT or TEACHER side of your
poster. Post your Standard for Mathematical practice.
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- 22 Why Bother? https://www.youtube.com/watch?v=89frRi8GgGA
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- 23 BREAK + 5 On your break: Take a break Use 5 minutes to walk
around and look at the Standards for Math Practice
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- 24 Common Core Classroom Structures
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- 25 Warm Up Grade 5 SBAC
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- 26 Think Pair Share Work quietly the task alone you will get 30
60 seconds to solve on your own. When timer goes off, talk to your
group about your solution. You will have 1-2 minutes to come up
with an agreed upon table solution. Write table answer on white
board. At signal, hold up white board.
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- 27 Think Pair Share
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- 28 TeachingChannel.org
https://www.teachingchannel.org/videos/think-pair-share-lesson-idea?fd=1
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- 29 Choose Three Ways Work alone for 4 minutes solving the
problem in as many ways as possible. At the timer, share your
strategy with your table (6- 8 minutes). Collect a strategy if a
strategy shared makes sense to you, write it down. If someone
writes down your strategy, ask them a question to make sure they
understand it!
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- 30 Constructive Struggling Grade 5 SBAC A baker used 12 cups of
batter to make muffins. It took cup of batter to make 1 muffin. How
many muffins did the baker make? Solve in 3 ways or more!!
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- 31 Choose 3 Ways
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- 32 TeachingChannel.org
https://www.teachingchannel.org/videos/problem-solving-math?fd=1
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- 33 STARTS What if some students cannot start the problem? How
can a class structure support starting, without doing it for the
students? How can we support Constructive Struggling?
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- 34 Starts My mom is having a garage sale and getting all her
kids to help. I have 2 brothers and 2 sisters. She plans to pay
each of us $3.50 for helping her. How much money will she need so
she has enough to pay all of us?
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- 35 STARTS
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- 36 Zoey problem Zoey inflated 24 balloons for decorations at
the middle school dance. If Zoey inflated 15% of the balloons that
are needed for the dance, how many balloons are there in total?
Solve the problem and verify using a visual model.
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- 37 Whats next? What question(s) would you ask to figure out
where this student is stuck and how to support him/her?
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- 38 Starts Natalies example
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- 39 This is how I checked my answer. This is how I solved
it.
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- 40 What do these people have in common? Bill Gates Frank Lloyd
Wright Steve Jobs James Cameron Mark Zuckerberg Ellen DeGeneres Tom
Hanks Russell Simmons Ted Turner Oprah F. Scott Fitzgerald Ralph
Lauren Walt Disney
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- 41 Did your adjectives include college drop-out? Bill Gates
Frank Lloyd Wright Steve Jobs James Cameron Mark Zuckerberg Ellen
DeGeneres Tom Hanks Russell Simmons Ted Turner Oprah F. Scott
Fitzgerald Ralph Lauren Walt Disney
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- 42 What opportunities are we allowing for students to become
great thinkers in our own classrooms?
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- 43 Depth of Knowledge (DOK) Levels
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- 44 Smarter Balanced Grade 4 DOK 2
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- 45 Smarter Balanced Grade 4 DOK 2
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- 46 What are strategies that students might use to show their
understandings?
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- 47 Looking at Student Understanding
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- 48 Why did they get it wrong? What do I do now?
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- Repeated addition Is it more than 1 or less than one? What was
I thinking? Fraction of a whole (set) Model on a number line 0 1 2
3 or Reteach algorithm
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- 50 Questions and Evaluation With your group: Discuss any
questions or wonders you have about today. Tell your group what you
will be trying (or have been trying) with your class. Fill out the
evaluation and leave on table.