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2013-14 Webinar Series Part 4: CCSS Math: Instructional Materials, Supports, and Engagement for the High School Anne GallagherKaty Absten Director of MathematicsMathematics Specialist. A Couple Changes at OSPI. - PowerPoint PPT Presentation
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2013-14 WEBINAR SERIES PART 4:
CCSS MATH: INSTRUCTIONAL MATERIALS, SUPPORTS, AND ENGAGEMENT FOR THE HIGH SCHOOL
ANNE GALLAGHER KATY ABSTENDIRECTOR OF MATHEMATICS MATHEMATICS SPECIALIST
OSPI Math Webinar_Part 4_ 5-29-2014
OSPI Math Webinar_Part 4_ 5-29-2014 2
A Couple Changes at OSPI
• Anne Gallagher has assumed the role of Director of Mathematics. Greta Bornemann is now working with PSESD.
• Katy Absten has recently been hired as the Mathematics Specialist. She has been at ESD 114 for 12 years and served as the Regional Math Coordinator for the region.
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Our Time Together• Classroom Impact of the CCSS
• Resources to Support Implementation
• Instructional Materials and CCSS
• Communication of CCSS
• Assessment System Updates
A recording of todays webinar and the power point will be posted on the OSPI website: https://www.k12.wa.us/CoreStandards/updatesevents.aspx
All resources that are referenced in the webinar will have a link to the resource in the power point.
OSPI Math Webinar_Part 4_ 5-29-2014
Washington’s Vision for Education
Every Washington public school student will graduate from high school globally
competitive for work and postsecondary education and prepared for life in the 21st
century.
4Class of 2011: Bridgeport High SchoolOSPI Math Webinar_Part 4_ 5-29-2014
OSPI Math Webinar_Part 4_ 5-29-2014 5
Content
Practices
Culture
Classroom Impact of CCSS
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Power of the Shifts
OSPI Math Webinar_Part 4_ 5-29-20147
Know them – both the what and the why
Apply them to decisions about Instruction Ongoing Assessment Resources Conversations with parents, students, colleagues, partners
Continue to Learn
.
CCSS Shifts
OSPI Math Webinar_Part 4_ 5-29-2014
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OSPI Math Webinar_Part 4_ 5-29-2014
The 3 Shifts in CCSSM
• Focus strongly where the standards focus
• Coherence: Think across grades and link to major topics within grades
• Rigor: In major topics, pursue with equal intensity:– Conceptual understanding– Procedural skill and fluency– Application
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Shift One: Focus Strongly where the Standards focus
Consider the major work within each course—this should guide your instruction for the year—not a textbook.
OSPI Math Webinar_Part 4_ 5-29-2014 10
– Ginsburg et al., 2005
Teach less, learn more.
“Less topic coverage can be associated with higher scores on those topics covered because students have more time to master the content that is taught.”
OSPI Math Webinar_Part 4_ 5-29-2014
Focus By Course
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OSPI Math Webinar_Part 4_ 5-29-2014
Focus by Course http://www.k12.wa.us/CoreStandards/Mathematics/default.aspx
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Shift Two: Coherence Think across grades, and link to major topics within grades
• Carefully connect the learning within and across grades so that students can build new understanding onto foundations built in previous years.
• Begin to count on solid conceptual understanding of core content and build on it. Each standard is not a new event, but an extension of previous learning.
OSPI Math Webinar_Part 4_ 5-29-2014 13
OSPI Math Webinar_Part 4_ 5-29-2014 14
Coherence with Algebrahttp://achievethecore.org/page/774/focus-by-grade-level
OSPI Math Webinar_Part 4_ 5-29-2014 15
8th Grade – Linear Functions• 8th Algebra is deep dive into Linear Functions
• Implications—– Collaborate with Middle School teachers– Alg 1 in 8th grade—what comes before?? All students need strong foundation in Linear Functions
OSPI Math Webinar_Part 4_ 5-29-2014 16
Progression Documents High School, Algebra
Seeing Structure in ExpressionsSeeing structure in expressions entails a dynamic view of an algebraic expression, in which potential rearrangements and manipulations are ever present.
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Progression Documents
http://ime.math.arizona.edu/progressions/
OSPI Math Webinar_Part 4_ 5-29-2014
• The CCSSM require:– Solid conceptual understanding– Procedural skill and fluency– Application of mathematics in problem solving
situations
• In the major work of the grade, this requires equal intensity in time, activities, and resources in pursuit of all three
OSPI Math Webinar_Part 4_ 5-29-2014 18
Shift Three: Rigor Equal intensity in conceptual understanding, procedural skill/fluency, and application
OSPI Math Webinar_Part 4_ 5-29-2014 19
Consider the Math
Which aspects of rigor does this task support and why?
OSPI Math Webinar_Part 4_ 5-29-2014 20
Standards for Mathematical PraticeDescribes mathematical “habits of mind” that students at ALL levels should develop.
OSPI Math Webinar_Part 4_ 5-29-2014 21
Illustration of SMP
http://mathpractices.edc.org/
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OSPI Math Webinar_Part 4_ 5-29-2014 23
Instructional Materials and CCSS
We are ALL in the same boat
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What We Have
http://www.colourbox.com/image/person-with-magnifier-investigates-empty-box-isolated-3d-image-image-2217292http://learning.blogs.nytimes.com/2010/12/17/new-understanding-of-ancientmath/?_php=true&_type=blogs&_r=0
OSPI Math Webinar_Part 4_ 5-29-2014
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Rich Tasks
What opportunities are we giving students to make sense of the
mathematics?
OSPI Math Webinar_Part 4_ 5-29-2014 27
Consider the following questions:• How do these tasks build on prior knowledge from earlier
grades and support later concepts?
• How do these tasks provide access for ALL students (consider those who often do not have access to rigorous math and HC students)
• Why are these tasks “worth doing”? Are they “thought provoking”?
• How are these tasks designed to help students make sense of the math?
Revisiting the Delivery Trucks Task
OSPI Math Webinar_Part 4_ 5-29-201428
https://www.illustrativemathematics.org/illustrations/1343
• Search tasks by grade /course and by cluster
• Tasks with commentary and public comments
• Task Talks - Nationally• Tasks – SBAC format
Dan MeyersDesmos
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https://teacher.desmos.com
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OSPI Math Webinar_Part 4_ 5-29-201431
Dana Center
OSPI Math Webinar_Part 4_ 5-29-201432
http://www.ccsstoolbox.org/standards_content_mathematics.html
OSPI Math Webinar_Part 4_ 5-29-2014 33
Lessons
Formative Assessment
OSPI Math Webinar_Part 4_ 5-29-2014 34
http://map.mathshell.org/materials/index.php
OSPI Math Webinar_Part 4_ 5-29-2014 35
CURRICULUM
OSPI Math Webinar_Part 4_ 5-29-2014 36
Engage NY
http://www.engageny.org/mathematics
OSPI Math Webinar_Part 4_ 5-29-2014 37
OSPI OER Reviews
https://digitallearning.k12.wa.us/oer/review/2014/report/math_findings.php
OSPI Math Webinar_Part 4_ 5-29-2014
Tools to Help Align Instructional Materials to the CCSS
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OSPI Math Webinar_Part 4_ 5-29-2014 39
Instructional Materials and CCSS
• How do we identify to what degree our current materials or materials we are considering for adoption are aligned to the CCSS?
• How do we adapt materials so they are more aligned to the CCSS?
OSPI Math Webinar_Part 4_ 5-29-2014 40
• What resources do we need to help us in identifying if the lesson/unit is aligned to the CCSS?
OSPI Math Webinar_Part 4_ 5-29-2014 41
Rubrics help to:• Identify degree of CCSS alignment to existing curriculum
• Identify gaps in the curriculum
• Clarify supports/materials, etc. needed to fill in the gaps
• Help in our own learning of the CCSS and implications for my own instruction.
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Toolkit
Materials Alignment Toolkit was developed by the Student Achievement Partners, founded by David Coleman, Susan Pimentel and Jason Zimba, lead writers of the Common Core State Standards. They are a non-profit organization with one purpose: to help all students and teachers see their hard work lead to greater student achievement. Achieve the Core is the name of their website.
Materials Alignment ToolkitA complete set of tools to aid in the design and procurement of CCSS aligned instructional materials, including assessments.
OSPI Math Webinar_Part 4_ 5-29-2014
OSPI Math Webinar_Part 4_ 5-29-2014 43
Instructional Materials Evaluation Tool (IMET)
IMET ToolA tool for evaluating a comprehensive textbook or textbook series for alignment to the CCSS. For use with ELA/literacy materials for grades K-2 or 3-12 and for mathematics materials K-8 or high school.
Use the Instructional Materials Evaluation Tool to:• Inform decisions about purchasing• Evaluate previously purchased materials to identify neces
sary modifications• Build understanding of what CCSS-aligned materials look like
OSPI Math Webinar_Part 4_ 5-29-2014 44
Equip Rubric
Equip Rubric was developed by the Educators Evaluating the Quality of Instructional Practice, an Achieve initiative. The mission of EQuIP is to build the capacity of educators to evaluate and improve instructional materials and increase the number of high-quality lessons and units aligned to the CCSS.
Equip RubricThe Equip Rubric is designed to evaluate the degree to which lessons and units are aligned to the CCSS.
OSPI Math Webinar_Part 4_ 5-29-2014 45
Benefits of Using These Tools
• Deepens your own understanding of the CCSS and instructional practice
• Begin small—choose one tool and one dimension to assess a lesson or unit
• Helps develop a deeper understanding of the CCSS shifts, the CCSS standards and what instruction aligned to CCSS looks like in a classroom
• Helps in creating your own tasks and lessons• And---more aligned curriculum
OSPI Math Webinar_Part 4_ 5-29-2014 46
Watch Math Webinar from March for more in depth information on using these rubrics
Resources to Support Implementation
OSPI Math Webinar_Part 4_ 5-29-2014
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CCSS Implementation Resources
OSPI Math Webinar_Part 4_ 5-29-2014
Top Resources – Big PictureAchieve The Core www.achievethecore.orgResources included annotated tasks and lessons, professional development resources, instructional practice guides, and the Materials Alignment Toolkit.
Illustrative Mathematics Project www.illustrativemathematics.org
Takes available aligned to the CCSS that illustrate the standards. These tasks have been vetted by leaders in the nation for alignment and quality.
Achieve www.achieve.orgMultiple array of resources to support implementation of CCSS including exemplar lessons and Equip Rubric and resources to implement the Equip rubric.Assessment System Resources www.smarterbalanced.orgSmarter Balanced Practice Test and Released Sample Items & Performance Tasks.
OSPI Math Webinar_Part 4_ 5-29-2014 49
CCSS Implementation ResourcesTop Resources - Math
Progression Documents http://ime.math.arizona.edu/progressions/
These documents give the narrative or story of how the domains progress both in a particular grade and through several grades.
Engage NY http://www.engageny.org/
Engage NY is building out units in ELA and mathematics that are aligned to the CCSS.
Inside Mathematics http://www.insidemathematics.org/index.php/home
Classroom examples and tools for innovative instruction, and videos of instructional practices aligned to the CCSS.
Mathematics Assessment Project http://map.mathshell.org/materials/index.php
The Mathematics Assessment Program (MAP) aims to bring to life the Common Core State Standards (CCSSM and exemplify CCSSM in engaging tasks, performance assessments and lessons grounded in formative assessment.
OSPI Math Webinar_Part 4_ 5-29-2014 50
WA CCR Implementation
10 page document that gives an overview of CCSS-Math, CCSS-ELA, NGSS and key resources. Document is posted on the following page: http://www.k12.wa.us/corestandards/updatesevents.aspx
Communication and the CCSS
OSPI Math Webinar_Part 4_ 5-29-2014
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CCSS Communications Summit - 4-21-2014
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CCSS Communications Summit - 4-21-2014
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Find the answer to this problem.
42 – 18
Consider a different way to solve the problem.
CCSS Communications Summit - 4-21-2014
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Mathematical Strategies Thinking Flexibly
Standard algorithm
Decomposing & Composing, for example: Round 42 to 40 (2 left over), round 18 to 20 (two left over), 40 – 20 = 20, add the 4 left over (2 + 2) to 20 +4 = 24
Number Line 10
10
2
CCSS Communications Summit - 4-21-2014
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Place Value – 2nd Grade
We have a sophisticated number system that is based on place value.
Can you add Roman Numerals? VII + XVII = ?
Fundamental concept at 2nd grade
CCSS Communications Summit - 4-21-2014
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Find the Answer to this Problem: 32 x 24 Standard Algorithm
Arrays
CCSS Communications Summit - 4-21-2014
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3rd GradePlace Value, Operations
CCSS Communications Summit - 4-21-2014
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Building Understanding for Algebra
(2x + 2) (x + 4)
2x2 + 10x + 8
CCSS Communications Summit - 4-21-2014
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CCSS Communications Summit - 4-21-2014
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How do we respond?
What is the root of this parent’s frustration?
What are other reasons parents might be frustrated with the math?
Resources for Communication
OSPI Math Webinar_Part 4_ 5-29-201461
App: Core Talk
Communications Campaign
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• Ready Washington is a coalition of state and local education agencies, associations and advocacy organizations that support college- and career-ready learning standards. Their audience is public (parents, community, educators, lawmakers) to build awareness and support for CCSS, prepare for initial decline in test scores in transition to more rigorous assessments and counter misinformation/myths.
*
www.ReadyWA.org
OSPI Math Webinar_Part 4_ 5-29-2014 64
Council of Greater City Schools
Supporting Your Child in High School Mathematics
OSPI Math Webinar_Part 4_ 5-29-2014
Opportunities To Learn More
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Statewide Collaboration to Support CCSS Implementation
66 OSPI Math Webinar_Part 4_ 5-29-2014
Regional Math Coordinators
PD Offered through all 9 ESDs
Visit your ESD region’s Website
OSPI Math Webinar_Part 4_ 5-29-2014 67
Washington State Fellows
• The Fellows collaborate with state, regional, district, and local structures to build coherence and effective implementation of the CCSS, supporting shifts in instructional practices and impacts on student learning. Each ESD region has a cadre of Fellow leaders who meet 4 times a year to engage in shared CCSS learning. The Fellows work helps to build capacity for CCSS implementation within schools and districts.
• Applications for new Fellows will be open in late August—sign up for Movers & Shakers to receive the notification.
For more information visit:https://www.k12.wa.us/CoreStandards/Fellows.aspx
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Informational OpportunitiesMovers and Shakers http://k12.wa.us/Mathematics/default.aspx
OSPI CCSS Webinar Serieshttp://www.k12.wa.us/CoreStandards/UpdatesEvents.aspx#Webinar
OSPI Math Webinar_Part 4_ 5-29-2014
Transitional 4th Year Course
OSPI Math Webinar_Part 4_ 5-29-2014
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Bridge to College MathematicsA Core to College Project
Goal: Develop transition curricula in English and Math, co-designed by higher education faculty and high school teachers and curriculum specialists, that could be offered to high school seniors by any interested school district in Washington state.
• Students successfully completing the curricula and the end-of-course assessments would be guaranteed placement into college-level coursework if they go directly into a Washington higher education institution.
Non-Calculus/STEM pathways
OSPI Math Webinar_Part 4_ 5-29-2014
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Target Students:1. Seniors who have taken Algebra 2 but have not passed.2. Seniors who have passed Algebra 2 (or a 3rd credit of math
aligned to their post-high school goals) but need/want additional math skills.
3. Seniors who have not taken Algebra 2 or a 3rd math credit.
Course Emphases:• Modeling with Mathematics• Standards for Mathematical Practice• Agreement on key subset of CCSS-M high school
content standards
OSPI Math Webinar_Part 4_ 5-29-2014 72
Recruiting Pilot Schools for 2014-2015• Teams should include high school teacher/s planning to teach
the course and one or more higher education faculty partners.• Commit to sending key members of the team to the summer
course development/training sessions [June 25-26 in Seattle and August 4-7 in Leavenworth].
• Find space in the school schedule in the fall and/or spring terms to “test drive” the courses OR incorporate relevant modules into the existing course curriculum in a related course.
• Communicate regularly with C2C project staff, attend quarterly teacher training sessions, and participate in project-related pilot evaluation efforts.
Email [email protected] for more information
OSPI Math Webinar_Part 4_ 5-29-2014 73
Timeline• May-June 2014: Design team creates draft
course: 8 units• Summer 2014: Pilot teams vet & refine units,
develop common vision for course culture• 2014-2015: Cycle of implementation &
refinement of pilot course materials, deepen focus on course culture. Quarterly meetings
• 2015 and beyond: Potential funding for continued implementation support scaling up statewide
Assessment System Updates
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Matrix of Graduation Requirements
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OSPI Math Webinar_Part 4_ 5-29-2014
Improving Teaching & Learning
Common Core State Standards specify
K-12 expectatio
ns for college and
career readiness
All students
leave high
school college
and career ready
Teachers and schools have information and tools
they need to improve
teaching and learning
Summative: College and career
readiness assessments for
accountability
Interim: Flexible and open
assessments, used for actionable
feedback
Formative resources:
Digital Library with instructional and
professional learning resources for
educators to improve instruction
Page 76
Balanced Assessment • Coverage of full breadth/depth of Common
Core• Computer Adaptive Testing (CAT)
• Precise assessment of all students• More engaging assessment experience
• Performance Tasks – real world problems
Summative Assessments
for Accountability
• Optional for district, school or classroom use• Fully aligned with Common Core – same item
pool• Focus on set of standards or mirror
summative test• Teachers can review and score responses
Interim Assessments
to Signal Improvement • Digital library gives access to high-quality
resources • Tools/materials for classroom-based
assessments• Professional social networking (Web-based
PLCs)• Useful for in-service and pre-service
development
Formative Tools and
Resources for Improved
Instruction
✔
✔ ✔
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Interim AssessmentTwo Types:
Interim Comprehensive Assessments (ICA)• Fixed form in fall 2014 for all grades• Adaptive (as pool allows)• Will be taken online in same form as summative• Some level of hand-scoringInterim Assessment Blocks (IAB)• Fixed form for most blocks in all grades• Adaptive for certain blocks (as pool allows)• Adaptive for all blocks – later• Will be taken online in same form as summative• Some level of hand-scoring
IABs for math: Current Thinking on CoverageProposed Interim Assessment Blocks (IAB)
High SchoolAlgebra and Functions
1 Linear Functions2 Quadratics3 Exponentials4 Polynomials5 Radicals6 Rationals7 Trigonometric
Geometry8 Transformations9 Right Triangle Ratios
10 Three-Dimensional Geometry11 Proofs12 Circles13 Applications
Other14 Statistics and Probability15 Mathematics Performance Task
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Digital Library
• Soft launch first week in June 3rd – Teachers will have access to Digital Library– Can search and download resources and access
modules
• Fully operation in September– Ability to upload your own resources to be
considered for the Digital Library
OSPI Math Webinar_Part 4_ 5-29-2014
Resources in the Digital Library
* Resources include the following file types: Video, HTML5, Audio, PPT, Excel, Word, and PDF.
• Commissioned professional development modules• Resources for students and families
• Frame formative assessment within a balanced assessment system• Articulate the formative assessment process• Highlight formative assessment practices and tools
• Commissioned professional development modules• Instructional materials for educators • Instructional materials for students
• Demonstrate/support effective implementation of the formative process• Focus on key content and practice from the Common Core State
Standards for Mathematics and English Language Arts
• High-quality vetted instructional resources and tools for educators• High-quality vetted resources and tools for students and families
• Reflect and support the formative process• Reflect and support the Common Core State Standards for Mathematics
and English Language Arts• Create Professional Learning Communities
Assessment Literacy Modules
Exemplar Instructional Modules
Education Resources
Page 81
OSPI Math Webinar_Part 4_ 5-29-2014
Digital Library Functionality
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Enable trained educators (SNEs and SLTs) to submit, review, and publish resources Allow educators to view, download, and rate resourcesUse state-of-the-art tagging and search to quickly find resources by CCSS and other topicsEnable educators from across the Consortium to collaborate and share their knowledge
OSPI Math Webinar_Part 4_ 5-29-2014
Grounded in this Definition of Formative Assessment Process
• Formative Assessment is a deliberate process used by teachers and students during instruction that provides actionable feedback that is used to adjust ongoing teaching and learning strategies to improve students’ attainment of curricular learning targets/goals.
~ Compiled by the Digital Library National Advisory Panel
Page 83
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Vetting Process for Resources
SNE1
Submit Resource
withCover Profile
SNE1
SNE
Choose Resource to Review in SNE’s Queue
SNE
Initial Review of Resource with Gate-Keeping Criteria
SNE
Review of Resource with Quality Criteria
RubricReviewed by 3 SNEs
Resource Passes Gate-Keeping
Resource Fails Gate-Keeping—Return to
SNE to Revise
SNE SNE
SNE 1:The SNE who reviews the resource with the Gate-Keeping Criteria will also be one of the
3 SNE reviewers.
OSPI Math Webinar_Part 4_ 5-29-2014
Digital LibraryIt WILL NOT be a “bank” of formative assessment items alone. All resources will have the formative assessment process embedded within them.
All submitted materials are vetted through a Quality Criteria Review Process by State Network Educators across the nation.
Digital Library will be available for all schools throughout Washington free of charge
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Implications for Instruction and Student Achievement
• Critical to spend time learning the standards, understanding the shifts and knowing the progression of learning the standards attend to.
• We must transform how we present math ideas/concepts. Our learning around the shifts should guide our instruction and teaching—not the instructional materials.
• Ensure ALL students have opportunities to engage in meaningful mathematics.
OSPI Math Webinar_Part 4_ 5-29-2014
Questions?
OSPI Math Webinar_Part 4_ 5-29-2014Page 87
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Thank YOU!Common Core Supports:
Anne [email protected]
Katy [email protected]