mathematics leadership team nop skills center, port angeles october 8, 2015 tamara smith consider...
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Mathematical Representations used to communicate ideas What are the mathematical ideas surfaced in the CHOOSING PATHS task? What are some representations that help you to understand the mathematics used in this task?TRANSCRIPT
Mathematics Leadership TeamNOP Skills Center, Port AngelesOctober 8, 2015
Tamara Smith
Consider the Math Task on your table.
Activator – Venn Diagram, Bar Graph and X Y Plot
Mathematical Representations used to communicate ideasWhat are the mathematical ideas
surfaced in the CHOOSING PATHS task?
What are some representations that help you to understand the mathematics used in this task?
AESD System OverviewThe OSPI/AESD Statewide Network
believes that a statewide system for coherent and aligned professional learning which is data-informed, strategically focused on building capacity, and centered on equitable access is the most powerful way to ensure positive impacts on instructional practices and improved student learning in PreK-12 classrooms across the state.
AESD System OverviewAs a Statewide Network we have agreed
to commit to meeting the intent of this Problem of Practice and Theory of Action as providing the compass heading for our 2015-16 work.
PROBLEM OF PRACTICE: How do we develop a professional learning system across the OSPI/AESD Network that increases educator effectiveness and results in the elimination of persistent gaps for all students?
AESD System OverviewTHEORY OF ACTION: If the OSPI/AESD
Network embeds the Fundamentals of Learning framework into the learning designs of all professional learning activities and uses a variety of student, educator and system data to plan, assess and evaluate professional learning… Then there will be continuous improvement of educator effectiveness and student learning across the system.
Building a SystemOSPI Content
DirectorsESD Assistant
SuperintendentsESD Math and
Science CoordinatorsESD ELA CoordinatorsSchool and Student
SuccessEarly LearningELL & Migrant
Programs
OSPI/AESD9 Regional Math Coordinators
FellowsMEC RMSTsLeadership Team
Districts
Building a SystemOSPI/AESD9 Regional Math Coordinators
FellowsMEC RMSTsLeadership Team
Districts
Tamara SmithSue BluesteinCarrie BlackAmanda
BaumgartnerLeslie NielsenDawn SparksAndrew HickmanDebra KowalkowskiMary Ellen Huggins
Washington State Regional Math Coordinators GoalsGoal 1: Provide equitable CCSS-M
professional development opportunities for administrators and teachers through the statewide network.
Goal 2: Increase student achievement by improving teachers’ ability to implement effective instructional practices and increasing teachers’ content knowledge.
Goal 3: Increase the Capacity of Teacher Leaders to support CCSS-Math professional learning.
Building a SystemOSPI/AESD9 Regional Math Coordinators
FellowsMEC RMSTsLeadership Team
Districts
OESD Fellows Joe PowerNKSD Catherine Pitcher
CKSD Jenn Bressert SKSD Teresa McComber
NMSD Lisa Cartwright PTSD Katy Middlestead Cres. Danny Kent QVSD Carrie Echeita QVSD Cindy Larson BSD Katherine Freedman
BSD Julie Lordon BSD Lisa Elm BSD
Fellows Purpose1. To be a part of and support a system that
focuses on math making sense for all students. --Leadership in the Extended Community
2. To be a part of a community of learners that focuses on putting the shifts into practice to reflect the CCSS vision both around the student making sense of the mathematics and demonstrating that understanding. –Leadership of Others and Self
3. To deprivatize our practice and take risks in order to facilitate high quality mathematics instruction and experiences students have with the mathematics. –Leadership of Self
Building a SystemOSPI/AESD9 Regional Math Coordinators
FellowsMEC RMSTsLeadership Team
Districts
Townley SlackSuzy JohansenGinger Lancaster
Building a SystemOSPI/AESD9 Regional Math Coordinators
FellowsMEC RMSTsLeadership Team
Districts
SBAC Scores Grade Level 3 4 5 6 7 8 11California Math 40% 35% 30% 33% 34% 33% 29%Connecticut Math 48% 44% 37% 37% 39% 37% 31%Delaware Math 53% 47% 38% 53% 37% 35% 23%Hawaii Math 50% 46% 42% 38% 38% 39% 30%Idaho Math 50% 46% 38% 36% 38% 37% 30%Missouri Math 52% 50% 40% 38% 35% 28% NAOregon Math 47% 45% 42% 39% 43% 44% 31%Vermont Math 52% 45% 42% 37% 43% 40% 37%Washington Math 58% 55% 49% 47% 50% 48% 29%West Virginia Math 44% 35% 30% 26% 25% 25% 20%New Hampshire Math North Dakota Math South Dakota Math Michigan Math Montana Math Nevada Math
Notes: Missouri: 8th graders taking Algebra 1 did not take Smarter Balanced. 41% includes the students who passed the Algebra 1 end-of-course exam.
Washington: Percentages exclude students with no score
ObjectivesDevelop a deep understanding of the CCSS
Math standards & the new Smarter Balanced assessments.
Understand the role of building and district team leadership in supporting the implementation of the new standards.
Create a common vision of the strong connections between CCSS Math and new teacher and principal evaluation criteria and instructional frameworks.
Share, find and create resources with other district math leaders in the region.
Meeting DatesBremerton ESD
SecondaryBremerton ESD
ElementaryPort Angeles (K-12)
Thursday, October 1st Thursday, October 8th
Thursday, November 12th Thursday November 19th Friday, November 13th
Thursday, January 14th Friday, January 22nd Tuesday, January 19th
Friday, March 18th Wednesday, March 23rd Tuesday, March 22nd
Tuesday, May 24th Thursday, June 2nd Wednesday, June 1st
AgendaActivatorIntroductions & OverviewGenerating an argument ~
Instructional ModelFundamentals of LearningWorking LunchState and Regional UpdatesNumber talksNCTM “Principles to Action” Reflection/ Evaluation
Beliefs“Teachers’ beliefs influence the decisions that they make about the manner in which they teach mathematics… Students’ beliefs influence their perception of what it means to learn mathematics and their dispositions toward the subject.” (NCTM, 2014)
Productive and Unproductive Beliefs
On a 3x5 card, individually brainstorm Beliefs teachers have about mathematics.
Mathematics
Beliefs
Practice
Productive vs. Unproductive Card Sort
Divide into groups of 3, each group should have a set of cards
Facilitator deals the cards so each participant has a share
One at a time, participant reads a card, decides if it is a productive belief – supports the learning of math; or an unproductive belief – hinders mathematical thinking.
Sort all cards in two piles
Extension – Is it possible to create a continuum?
Simulation for Generating an Argument ~Instructional Model
1. Identify the Task and Question
2. Generate a Tentative Argument
3. Argumentation Session
4. The Reflective Discussion
5. Final Written Argument
• Colin and Rajinara are designing a game of chance to raise money for charity.
• What questions do you have for Colin and Rajinara?
Stage One: Generating a Question and Beginning the Task
Throwing a coin
Game board squares are 40mm per side
Quarters are 24mm diam.
50 cent piece is 31mm diam.
What other information is helpful?
Rules of the game:• Throw the coin onto the game
board.• If it lands entirely within a
square, not crossing or touching any lines, you win a prize.
• If the coin touches or crosses a line, you lose.
Stage 2: The Generation of a Tentative Argument
1. Take turns to explain your idea of how to design an experiment to determine which coin raises more money.
2. Listen carefully to each other and ask questions if you don’t understand.
3. Once you understand each other’s work, agree together in your group on the best approach for completing the problem.
4. Outline on your large sheet of paper the approach you are going to use.
P-26
Stage 2: Generation of a Tentative Argument
Claim: The answer to the coin question.Evidence: Data to support your answer. (data charts, equations, graphs, tables, explanations, etc.)Justification: A rationale that explains why the evidence you use is relevant or important, along with any assumptions you have made regarding the problem.
The Research Question: Which coin should Colin and Rajinara use in the coin toss game of chance.
Your group’s claim:
Your group’s evidence:
Your justification of the evidence:
Stage 3: The Argumentation SessionStudents are given an opportunity to share, evaluate and revise the products or process of their investigation with their classmates.
• Visit other groups.
• Use the Gallery Walk Interview Questions to guide your discourse.
• Give feedback and be ready to take ideas back to your group.
Stage 4: A Reflective DiscussionMeet with your group
◦ Discuss anything you learned from other groups
◦ Discuss feedback on your group’s ideas
Modify/Revise original ideas based on feedback
Teacher facilitates whole class discussion ◦ encouraging students to share
what they learned◦ common challenges faced by
groups
Stage 5: The Production of a Final ArgumentEach student makes sense of their experiences by producing a final argumentState the question and claim you are
trying to supportInclude evidence (data + analysis +
interpretation)Provide a justification of your evidenceOrganize your argument in a way that
enhances readabilityCorrect grammar, punctuation, and
spelling errors
Reviewing the Stages of the Generate an Argument Instructional Model
Identify the Task and Question
Generate a Tentative Argument
Argumentation Session
The Reflective Discussion
Final Written Argument
Lunch/ Team Time
Please return at 12:55
Fundamentals of LearningRead pages 5-6 for an overview
of the Fundamentals of Learning
For each section select ONE word as a take-away for that section◦Share your word an one reason why
it resonated with youOn a 3 x 5 card make a list of the
words selected in your group.
Fundamentals of Learning-PosterIn groups of 4, Read page 11Consider how the math activity we
just did supports the fundamental of Meaning Making using the bullets at the bottom of the page
Record connections to Meaning Making in the appropriate sector on the poster
(8 minutes)
Fundamentals of Learning-PosterMove to the next tableRead page 12 Consider how the math activity we just
did supports the fundamental of Participating and Contributing using the bullets at the bottom of the page
Record connections to Participating and Contributing in the appropriate sector on the poster
(8 minutes)
Fundamentals of Learning-PosterMove to the next tableRead page 13 Consider how the math activity we
just did supports the fundamental of Managing Learning using the bullets at the bottom of the page
Record connections to Managing Learning in the appropriate sector on the poster
(8 minutes)
Fundamentals of Learning-PosterMove to the next tableReview the posterHighlight any themes or patterns
that occur across all three sectorsLook over the index card you are
given and see how many words appear on the poster
(6 minutes)
Fundamentals of Learning Moving forwardRead pages 14-15, the discussion
tool Consider how we use the
available time in these meetings to support your work in these 3 fundamentals
Record ideas on Padlethttp://padlet.com/t.8mith/fundam
entals
State and Regional Updates
See separate handout
Effective Professional DevelopmentPrinciple 1:
◦The duration of professional development must be significant and ongoing to allow time for teachers to learn a new strategy and grapple with the implementation problem.
Effective Professional DevelopmentPrinciple 2:
◦There must be support for a teacher during the implementation stage that addresses the specific challenges of changing classroom practice.
Effective Professional DevelopmentPrinciple 3:
◦Teachers’ initial exposure to a concept should not be passive, but rather should engage teachers through varied approaches so they can participate actively in making sense of a new practice.
Effective Professional DevelopmentPrinciple 4:
◦Modeling has been found to be highly effective in helping teachers understand a new practice.
Effective Professional DevelopmentPrinciple 5:
◦The content presented to teachers shouldn’t be generic, but instead specific to the discipline (for middle school and high school teachers) or grade-level (for elementary school teachers). .
Reflection/Evaluation• Thank you for completing
the online PD survey as well as the standard ESD clock hour evaluation form