Preparing for the PARCC and the Common Core:
PARCC and Common Core Mathematics Updates
www.parccmann.pbworks.com Dr. Bob Mann
Mathematics, Western Illinois [email protected]
www.ictm.org to access full slide show from Heather Brown of ISBE
What Is PARCC?
The Partnership for Assessment of Readiness for College and Careers: Made up of 19 states + DC and US Virgin Islands
KY and PA are participating states Developing common, high-quality math and English
language arts (ELA) tests for grades 3–11Computer-based and linked to what students need to
know for college and careersFor use starting in the 2014–15 school year
AssessmentsELA/Literacy and Mathematics, Grades 3–11
Beginning of School Year
End of School Year
DiagnosticAssessment
Mid-Year Assessment
Performance-Based
Assessment
End-of-Year Assessment
Speaking and Listening
Assessment
Optional Required
Key:
Flexible administration
• PARCC states first developed the Model Content Frameworks to provide guidance to key elements of excellent instruction aligned with the Standards.
• The Model Content Frameworks were then used to provide guidance in the content emphasis for the mathematics assessment.
So, for the first time. . .
• PARCC is communicating in the same voice to teachers as it is to assessment developers!
• PARCC is designing the assessments around exactly the same SHIFTS the standards expect of teachers and students.
What is Different About PARCC’s Development Process?
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Model Content Frameworks
• Final version in November of 2012• Look at these to see exactly which standards
should be covered in each grade or course
Pathways
• Traditional (Algebra, Geometry, Algebra II)• Integrated (Math 1, 2, 3)• For grades 9-12, PARCC is making tests for
both pathways• High Schools in Illinois can choose which form
they would like to use• By the end of grade 11, the standards covered
would be the same
• Focus: PARCC assessments will focus strongly on where the Standards focus. Students will have more time to master concepts at a deeper level.
• Problems worth doing: Multi-step problems, conceptual questions, applications, and substantial procedures will be common, as in an excellent classroom.
• Better Standards Demand Better Questions: Instead of reusing existing items, PARCC will develop custom items to the Standards.
• Fidelity to the Standards: PARCC Evidence Statements are rooted in the language of the Standards so that expectations remain the same in both instructional and assessment settings.
PARCC’s Core Commitments to Mathematics Assessment Quality
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What Are the Shifts at the Heart of PARCC’s Design?
1. Focus: The PARCC assessment will focus strongly where the Standards focus.
2. Coherence: Think across grades and link to major topics within grades.
3. Rigor: In major topics, pursue conceptual understanding, procedural skill and fluency, and application.
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College and Career Ready Determination (CCRD)
• Students who achieve a College and Career Ready Determination on the high school assessment will be able to enter directly into certain entry-level, credit-bearing courses in college, without having to take placement tests.
What’s new?
• PARCC Performance Level Descriptors (PLDs)• PARCC Evidence Tables and test blueprints• PARCC Sample test items and prototypes: • ISBE Mathematics Model Curriculum• Abundance of resources at PARCC, ISBE, and
other sites
What are Performance Level Descriptors?
Performance Level Descriptors or PLDs describe what students at each performance level know and can do relative to grade-level or course content standards assessed.
Performance Level Descriptor Language
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Level 5: Students performing at this level demonstrate a distinguished command of the knowledge, skills, and practices embodied by the Common Core State Standards assessed at their grade level.Level 4: … strong command …Level 3: … moderate command …Level 2: … partial command …Level 1: … minimal command …
Evidence-Centered Design (ECD) for the PARCC Assessments
ClaimsDesign begins with the inferences (claims) we want to make about students
Evidence
In order to support claims, we must gather evidence
Tasks
Tasks are designed to elicit specific evidence from students in support of claims
ECD is a deliberate and systematic approach to assessment development that will help to establish the validity of the assessments, increase the
comparability of year-to year results, and increase efficiencies/reduce costs.
Sub-claim A: Students solve problems involving the major content for their grade level
with connections to practices
Sub-Claim B: Students solve problems involving the
additional and supporting content for their grade level with connections to practices
Sub-claim C: Students express mathematical reasoning by constructing mathematical arguments and critiques
Sub-Claim D: Students solve real world problems engaging particularly in the modeling
practice
Sub-Claim E: Student demonstrate fluency in areas set forth in the Standards for
Content in grades 3-6
Claims for Mathematics
Master Claim: Students are on-track or ready for college and careers
Evidence-Centered Design (ECD) for the PARCC Assessments
Claims
Design begins with the inferences (claims) we want to make about students
EvidenceIn order to support claims, we must gather evidence
Tasks
Tasks are designed to elicit specific evidence from students in support of claims
ECD is a deliberate and systematic approach to assessment development that will help to establish the validity of the assessments, increase the
comparability of year-to year results, and increase efficiencies/reduce costs.
Several types of evidence statements are being used to describe what a task should be assessing, including:1. Those using exact standards language2. Those transparently derived from exact standards language,
e.g., by splitting a content standard3. Integrative evidence statements that express plausible direct
implications of the standards without going beyond the standards to create new requirements
4. Sub-claim C & D evidence statements, which put MP.3, 4, 6 as primary with connections to content
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Evidence Statement Tables:Types of Evidence Statements
Evidence-Centered Design (ECD) for the PARCC Assessments
Claims
Design begins with the inferences (claims) we want to make about students
Evidence
In order to support claims, we must gather evidence
TasksTasks are designed to elicit specific evidence from students in support of claims
ECD is a deliberate and systematic approach to assessment development that will help to establish the validity of the assessments, increase the
comparability of year-to year results, and increase efficiencies/reduce costs.
• The PARCC assessments for mathematics will involve three primary types of tasks: Type I, II, and III.
• Each task type is described on the basis of several factors, principally the purpose of the task in generating evidence for certain sub claims.
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Overview of Task Types
Source: Appendix D of the PARCC Task Development ITN on page 17
Overview of PARCC Mathematics Task Types
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Task Type Description of Task Type
I. Tasks assessing concepts, skills and procedures
• Balance of conceptual understanding, fluency, and application• Can involve any or all mathematical practice standards• Machine scorable including innovative, computer-based formats• Will appear on the End of Year and Performance Based Assessment components• Sub-claims A, B and E
II. Tasks assessing expressing mathematical reasoning
• Each task calls for written arguments / justifications, critique of reasoning, or precision in mathematical statements (MP.3, 6).
• Can involve other mathematical practice standards• May include a mix of machine scored and hand scored responses• Included on the Performance Based Assessment component• Sub-claim C
III. Tasks assessing modeling / applications
• Each task calls for modeling/application in a real-world context or scenario (MP.4) • Can involve other mathematical practice standards• May include a mix of machine scored and hand scored responses• Included on the Performance Based Assessment component• Sub-claim D
For more information see PARCC Task Development ITN Appendix D.
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Type II
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Type III
Algebra II/Math III Sample Task
Algebra II/Math III Sample Task
Algebra II/Math III Sample Task
Master Claim: On-Track for college and career readiness. The degree to which a student is college and career ready (or “on-track” to being ready) in mathematics.
Sub-Claim A: Major Content1
with Connections to PracticesSub-Claim B: Additional & Supporting Content2 with Connections to Practices
Sub-Claim E: Fluency in applicable grades (3-6)
Claims Structure: Mathematics
Sub-Claim C: Highlighted Practices MP.3,6 with Connections to
Content3 (expressing mathematical reasoning)
.
Sub-Claim D: Highlighted Practice MP.4 with Connections to Content (modeling/application)
Total Exam Score Points:
82 (Grades 3-8), 97 or 107(HS)
12 pts (3-8),18 pts (HS)
6 pts (Alg II/Math 3 CCR)
~37 pts (3-8),~42 pts (HS)
~14 pts (3-8),~23 pts (HS)
14 pts (3-8),14 pts (HS)
4 pts (Alg II/Math 3 CCR)
7-9 pts (3-6)
What’s Important?
• The content itself has not changed that much• The way it is packaged and delivered should
be different• The way it will be assessed should be different• The expectations are higher throughout• The Mathematical Practices must not be
forgotten
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.
August 2011 28
Practices?
Engagement
Tasks and Talk
Work and Words
· When students transform expressions purposefully, they are looking for and making use of structure (MP.7).· When modeling a situation, students often can get started by working repetitively with numerical examples and then look for and express regularity in that repeated reasoning by writing equations or functions (MP.8).· Throughout high school, students construct viable arguments and critique the reasoning of others (MP.3). As in geometry, important questions in advanced algebra cannot be answered definitively by checking evidence. Results about all objects of a certain type — the factor theorem for polynomials, for example — require general arguments. And deciding whether two functions are equal on an infinite set cannot be settled by looking at tables or graphs; it requires a deeper argument.
Questions
Illinois State Board of Education
Mathematics Performance-based Assessment and End-of-Year Assessment
PARCC Subclaim
Percentage of Items on High School Assessments
Task Types
A: Solve problems with major content 39%
• Balance of conceptual understanding, fluency, and application
• Can involve any or all mathematical practice standards
B: Solve problems with additional and supporting content 21%
• Balance of conceptual understanding, fluency, and application
• Can involve any or all mathematical practice standards
C: Express mathematical reasoning
17%• Each task calls for written arguments / justifications, critique
of reasoning, or precision in mathematical statements • Can involve other mathematical practice standards
D: Solve real-world problems engaging in modeling 22%
• Each task calls for modeling/application in a real-world context or scenario
• Can involve other mathematical practice standards
Illinois State Board of Education
• Approximately 50% of the items on the ACT Mathematics Test involve knowledge and skills
• Approximately 30% of items involve direct application
• Approximately 20% of the items involve understanding concepts/integrated conceptual understanding
Prairie State Achievement Exam
PARCC Comprehensive Accessibility Policies
Accessibility Features for All Students
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Accessibility Features for All StudentsAudio Amplification
Blank Paper (provided by test administrator)
Eliminate Answer ChoicesFlag Items for Review
General Administration Directions Clarified (by test administrator)
General Administration Directions Read Aloud and Repeated (by test administrator)
Highlight ToolHeadphones
Magnification/Enlargement DeviceNotePad
Pop-Up GlossaryRedirect Student to Test (by test administrator)
Spell CheckerWriting Tools
Accessibility Features Identified in Advance
• Available to all students (i.e., not limited to students with IEPs, 504 plans, or English learners), but will be selected and “turned on” by school-based educators prior to the assessment, based on each student’s Personal Needs Profile (PNP).
• Based on each student’s individual needs, a PNP is created for the student to ensure that he or she receives appropriate access without the distraction of other tools and features that are not required by the student.
• Although school-based educators will enable specific accessibility features for students, the student will decide whether or not to use the feature. These accessibility features will be readily available on the computer-delivered testing platform.
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Accessibility Features Identified in Advance
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Accessibility Features Identified in Advance
Answer Masking
Background/Font Color (Color Contrast)
General Masking
Line Reader Tool
Text-to-Speech for the Mathematics Assessments
Administrative Considerations for All Students
• Detailed guidelines on the administration of the PARCC assessments will be included in the PARCC Test Administration Manual.
• Principals may determine that any student may require one or more of the following test administration considerations, regardless of the student’s status as a student with a disability or who is an English learner: – Small group testing – Frequent breaks – Time of day – Separate or alternate location – Specified area or seating – Adaptive and specialized equipment or furniture
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PARCC Information Release
July 2013 Summative assessment cost estimates Final English Language Learners policy Final accommodations manual for students with disabilities Final performance level descriptors for all grades/courses in
ELA/literacy and mathematics August 2013 Additional sample items Specific information about windows for traditional and block
scheduling, when assessment components will be available within the window, models of what PARCC will look like in schools, and proctor requirements
Heather Brown – [email protected] Winters – [email protected]
For “End-of-Course” Questions, email Rachel Jachino, [email protected]
Any publicly released assessment policies, item prototypes, PARCC Model Content Frameworks, and other valuable resources can be found at www.PARCConline.org
www.facebook.com/ilmathcommoncore
Contact
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