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Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 11
2006 Mathematics 2006 Mathematics Released Items for Grades 3–8Released Items for Grades 3–8
Beverly NeitzelMathematics Initiative Director360/[email protected]
Mary HolmbergMathematics Initiative TOSA
http://www.k12.wa.us/assessment/WASL/Mathematics/default.aspx
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 22
““You’re Kidding! You count the WASL?”You’re Kidding! You count the WASL?”
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 33
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 44
AgendaAgenda
IntroductionIntroduction Scoring with Newly Released ItemsScoring with Newly Released Items Released Item Documents (RIDs) with Released Item Documents (RIDs) with
“Lessons Learned”“Lessons Learned” Where are we, and what else can we do?Where are we, and what else can we do? Questions and EvaluationQuestions and Evaluation Break 2:30–2:45 p.m.Break 2:30–2:45 p.m.
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 55
A View of Mathematics from OSPIA View of Mathematics from OSPI
Mathematics is a language and science of Mathematics is a language and science of patterns.patterns.
Mathematical content (EALR 1) must be Mathematical content (EALR 1) must be embedded in the mathematical processes embedded in the mathematical processes (EALRs 2–5).(EALRs 2–5).
For all students to learn significant mathematics, For all students to learn significant mathematics, content must be taught and assessed in content must be taught and assessed in meaningful situations.meaningful situations.
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 66
Big IdeasBig Ideas
How can we use the knowledge of How can we use the knowledge of standards and assessment to plan for standards and assessment to plan for instruction?instruction?
How can we use what we learn from student How can we use what we learn from student work to further students’ understanding in work to further students’ understanding in mathematics? mathematics?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 77
Scoring TrainingScoring Training
Knowledge of StandardsKnowledge of Standards Knowledge of AssessmentKnowledge of Assessment
– Evidence of UnderstandingEvidence of Understanding
Using Knowledge to Further Student Using Knowledge to Further Student UnderstandingUnderstanding
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 88
Scoring Training ProcessScoring Training Process
Teachers:Teachers:– do item and share solutionsdo item and share solutions– match item with item specificationmatch item with item specification– examine rubricexamine rubric– review anchor papersreview anchor papers– score practice papersscore practice papers
Back to Big IdeasBack to Big Ideas
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 99
How to Read RIDsHow to Read RIDs Terry LetterTerry Letter How to UseHow to Use IdeasIdeas IntroductionIntroduction ItemItem Score PointsScore Points Tools Y N XTools Y N X StrandStrand Item SpecificationItem Specification Performance DataPerformance Data
– SchoolSchool– DistrictDistrict– StateState
Student ExampleStudent Example– 3 Examples of Score Points of 4, 3, 2, 13 Examples of Score Points of 4, 3, 2, 1– 1 Example of Zero Score Point1 Example of Zero Score Point
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1010
Lessons LearnedLessons Learned from from
Scoring Student WorkScoring Student Work
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1111
What do you see?What do you see?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1212
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 10
64.5
56.0
49.6 49.1
59.1
48.851.2
21.31997
20.11998
33.01999
Mathematics: Grades 3–8 and 10Mathematics: Grades 3–8 and 10Percent of students meeting standardPercent of students meeting standard
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1313
Washington’s Results on the Washington’s Results on the Nation’s Report CardNation’s Report Card
Mathematics 2005Mathematics 2005
National Assessment of Educational National Assessment of Educational Progress (NAEP)Progress (NAEP)
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1414
NAEP Achievement-Level NAEP Achievement-Level DescriptionsDescriptions
The three NAEP achievement levels, from The three NAEP achievement levels, from lowest to highest, are:lowest to highest, are:– Basic: Basic: denotes partial mastery of the denotes partial mastery of the
knowledge and skills that are fundamental for knowledge and skills that are fundamental for proficient work at a given grade.proficient work at a given grade.
– Proficient: Proficient: represents solid academic represents solid academic performance. Students reaching this level have performance. Students reaching this level have demonstrated competency over challenging demonstrated competency over challenging subject matter.subject matter.
– Advanced: Advanced: signifies superior performance. signifies superior performance.
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1515
NAEP Scale ScoresNAEP Scale Scores
NAEP mathematics scores are reported for NAEP mathematics scores are reported for grades 4 and 8 on a 0–500 scale. grades 4 and 8 on a 0–500 scale.
Beginning in 2002, the national sample sizes have Beginning in 2002, the national sample sizes have increased dramatically. Standard errors, an increased dramatically. Standard errors, an estimate of the uncertainty in data, have been estimate of the uncertainty in data, have been reduced due to the increase in national sample size.reduced due to the increase in national sample size.
While a small—1- or 2-point—difference may not While a small—1- or 2-point—difference may not have met the have met the standard for “statistically have met the have met the standard for “statistically significant” before 2002, that same difference may significant” before 2002, that same difference may meet that standard in later years because of the meet that standard in later years because of the smaller standard errors.smaller standard errors.
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1616
NAEPNAEPGrade 4Grade 4
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1717
NAEPNAEPGrade 4Grade 4
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1818
NAEPNAEPGrade 4Grade 4
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 1919
NAEPNAEPGrade 4Grade 4
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2020
NAEPNAEPGrade 4Grade 4
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2121
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2222
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2323
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2424
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2525
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2626
NAEPNAEPGrade 8Grade 8
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2727
SATSATSTATE
Participation Rate 2004*
2004 Mean
1994 Mean
10 Year Change
New York 87% 510 497 13
Connecticut 85% 515 497 18
Massachusetts 85% 523 500 23
New Jersey 83% 514 500 14
New Hampshire 80% 521 510 11
D.C.** 77% 476 468 8
Maine 76% 501 490 11
Pennsylvania 74% 502 489 13
Delaware 73% 499 491 8
Georgia 73% 493 474 19
Rhode Island 72% 502 488 14
Virginia 71% 509 495 14
North Carolina 70% 507 482 25
Maryland 68% 515 503 12
Florida 67% 499 492 7
Vermont 66% 512 498 14
Indiana 64% 506 493 13
South Carolina 62% 495 473 22
Hawaii 60% 514 504 10
Oregon 56% 528 515 13
Alaska 53% 514 502 12
Texas 52% 499 500 -1
Washington 52% 531 512 19
California 49% 519 506 13
Table 3: Mean SAT Verbal and Math Scores by State, with Changes for Selected Years
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2828
SATSATSTATE
Participation Rate 2004*
2004 Mean
1994 Mean
10 Year Change
Washington 52% 531 512 19
Oregon 56% 528 515 13
Massachusetts 85% 523 500 23
New Hampshire 80% 521 510 11
California 49% 519 506 13
Connecticut 85% 515 497 18
Maryland 68% 515 503 12
Alaska 53% 514 502 12
Hawaii 60% 514 504 10
New Jersey 83% 514 500 14
Vermont 66% 512 498 14
New York 87% 510 497 13
Virginia 71% 509 495 14
North Carolina 70% 507 482 25
Indiana 64% 506 493 13
Pennsylvania 74% 502 489 13
Rhode Island 72% 502 488 14
Maine 76% 501 490 11
Delaware 73% 499 491 8
Florida 67% 499 492 7
Texas 52% 499 500 -1
South Carolina 62% 495 473 22
Georgia 73% 493 474 19
D.C.** 77% 476 468 8
Table 3: Mean SAT Verbal and Math Scores by State, with Changes for Selected Years
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 2929
What Else Can We Do?What Else Can We Do?
What are you doing in your districts now that What are you doing in your districts now that is working?is working?
What else can “we” be doing?What else can “we” be doing?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3030
www.k12.wa.us
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3131
Mathematics Assessment
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3232
Tools/Resources
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3333
Essential Academic Learning Requirements (EALRs)/Indicators
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3434
Released Item Documents (RIDs)
Test and Item Specifications
Practice and Sample Tests
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3535
GLEs
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3636
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3737
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3838
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
2006 Mathematics WASL Released Items for Grades 3–82006 Mathematics WASL Released Items for Grades 3–8
December 6, 2006December 6, 2006Slide Slide 3939
Thanks!Thanks!