Preparing for the parcc and the common core parcc and common core mathematics updates
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Preparing for the PARCC and the Common Core:  PARCC and Common Core Mathematics Updates. www.parccmann.pbworks.com Dr. Bob Mann Mathematics, Western Illinois University [email protected] www.ictm.org to access full slide show from Heather Brown of ISBE. What Is PARCC?.

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Preparing for the parcc and the common core parcc and common core mathematics updates

Preparing for the PARCC and the Common Core:  PARCC and Common Core Mathematics Updates

www.parccmann.pbworks.com

Dr. Bob Mann

Mathematics, Western Illinois University

[email protected]

www.ictm.org to access full slide show from Heather Brown of ISBE


What is parcc

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 3–11

Computer-based and linked to what students need to know for college and careers

For use starting in the 2014–15 school year


Assessments ela literacy and mathematics grades 3 11

AssessmentsELA/Literacy and Mathematics, Grades 3–11

Beginning of School Year

End of School Year

Flexible administration

Performance-Based

Assessment

DiagnosticAssessment

Mid-Year Assessment

End-of-Year

Assessment

Speaking and Listening Assessment

Key:

Optional

Required


What is different about parcc s development process

What is Different About PARCC’s Development Process?

  • 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.


Model content frameworks

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

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


Parcc s core commitments to mathematics assessment quality

PARCC’s Core Commitments to Mathematics Assessment Quality

  • 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.


What are the shifts at the heart of parcc s design

Focus: The PARCC assessment will focus strongly where the Standards focus.

Coherence: Think across grades and link to major topics within grades.

Rigor: In major topics, pursue

conceptual understanding,

procedural skill and fluency,

and application.

What Are the Shifts at the Heart of PARCC’s Design?


College and career ready determination ccrd

College and Career Ready Determination (CCRD)

  • Students who achieve a College and Career ReadyDetermination 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

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.

What are Performance Level Descriptors?


Performance l evel d escriptor l anguage

Performance Level Descriptor Language


Evidence centered design ecd for the parcc assessments

Evidence-Centered Design (ECD) for the PARCC Assessments

ECD is a deliberate and systematic approach to assessment development that will help to establish the validityof the assessments, increase the comparability of year-to year results, and increase efficiencies/reduce costs.


Claims for mathematics

Claims for Mathematics

Master Claim: Students are on-track or ready for college and careers


Evidence centered design ecd for the parcc assessments1

Evidence-Centered Design (ECD) for the PARCC Assessments

ECD is a deliberate and systematic approach to assessment development that will help to establish the validityof the assessments, increase the comparability of year-to year results, and increase efficiencies/reduce costs.


Evidence statement tables types of evidence statements

Evidence Statement Tables:Types of Evidence Statements

Several types of evidence statements are being used to describe what a task should be assessing, including:

  • Those using exact standards language

  • Those transparently derived from exact standards language, e.g., by splitting a content standard

  • Integrative evidence statements that express plausible direct implications of the standards without going beyond the standards to create new requirements

  • Sub-claim C & D evidence statements, which put MP.3, 4, 6 as primary with connections to content


Evidence centered design ecd for the parcc assessments2

Evidence-Centered Design (ECD) for the PARCC Assessments

ECD is a deliberate and systematic approach to assessment development that will help to establish the validityof the assessments, increase the comparability of year-to year results, and increase efficiencies/reduce costs.


Overview of task types

Overview of Task Types

  • 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.

Source: Appendix D of the PARCC Task Development ITN on page 17


Overview of parcc mathematics task types

Overview of PARCC Mathematics Task Types

For more information see PARCC Task Development ITN Appendix D.


Preparing for the parcc and the common core parcc and common core mathematics updates

Type II


Preparing for the parcc and the common core parcc and common core mathematics updates

Type III


Preparing for the parcc and the common core parcc and common core mathematics updates

Algebra II/Math III Sample Task


Preparing for the parcc and the common core parcc and common core mathematics updates

Algebra II/Math III Sample Task


Preparing for the parcc and the common core parcc and common core mathematics updates

Algebra II/Math III Sample Task


Claims structure mathematics

Sub-Claim D: Highlighted Practice MP.4 with Connections to Content (modeling/application)

Claims Structure: Mathematics

Sub-Claim B: Additional & Supporting Content2 with Connections to Practices

Sub-Claim E: Fluency in applicable grades (3-6)

Sub-Claim A: Major Content1 with Connections to Practices

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.

Total Exam Score Points:

82 (Grades 3-8), 97 or 107(HS)

Sub-Claim C: Highlighted Practices MP.3,6 with Connections to Content3 (expressing mathematical reasoning)

.

~14 pts (3-8),

~23 pts (HS)

~37 pts (3-8),

~42 pts (HS)

14 pts (3-8),

14 pts (HS)

4 pts (Alg II/Math 3 CCR)

12 pts (3-8),

18 pts (HS)

6 pts (Alg II/Math 3 CCR)

7-9 pts (3-6)


What s important

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

Standards for Mathematical Practice

  • Make sense of problems and persevere in solving them.

  • Reason abstractly and quantitatively.

  • Construct viable arguments and critique the reasoning of others.

  • Model with mathematics.

  • Use appropriate tools strategically.

  • Attend to precision.

  • Look for and make use of structure.

  • Look for and express regularity in repeated reasoning.


Practices

Practices?

Engagement

Tasks and Talk

Work and Words


Preparing for the parcc and the common core parcc and common core mathematics updates

·       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

Questions


Preparing for the parcc and the common core parcc and common core mathematics updates

Illinois State Board of Education

Mathematics Performance-based Assessment and End-of-Year Assessment


Preparing for the parcc and the common core parcc and common core mathematics updates

Illinois State Board of Education

Prairie State Achievement Exam

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


Parcc comprehensive accessibility policies

PARCC Comprehensive Accessibility Policies


Accessibility features for all students

Accessibility Features for All Students


Accessibility features identified in advance

Availableto 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.

Accessibility Features Identified in Advance


Accessibility features identified in advance1

Accessibility Features Identified in Advance


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

Administrative Considerations for All Students


Parcc information release

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


Contact

Contact

Heather Brown – [email protected]

Jennie 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


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