Michael Luke NJDOE 609-984-9637 michael.luke@doe.state.nj.us Topics Resources Premises Review of Preliminary Statistics Constructed Response Scoring Observations Constructed Response Sample Items Questions Resources American Diploma Project (ADP) End-of-Course Exams: 2010 Annual Report www.achieve.org/2010ADPAnnualReport An Exploratory Teacher Survey Related to the ADP Algebra I End-of-Course Exam www.pearsonaccess.com www.achieve.org/AlgebraITestOverview Achieve Simplify Document www.achieve.org/files/ADPSimplify.pdf Premises of Presentation Student Performance on Constructed Response Items (both 2 and 4 point items) is well below student performance on Multiple Choice Items A review of ADP Constructed Response Item Expectations and Scoring could enhance student achievement on the ADP Algebra I assessment “The survey results revealed that teachers underestimated the rigor of the constructed-response items on the exam and were not always clear on the kinds of items that are being used to assess certain Algebra I benchmarks.” Algebra I Test Blueprint 40 Multiple Choice (MC) Items (@ 1 point each= 40 points) 5 Short Answer (SA) Items (@ 2 points each= 10 points) 2 Extended Response (ER) Items (@ 4 points each= 8 points) 58 Raw Points- Maximum Score 18/58= 31% of score points from Open Ended (Constructed Response) Items 2009 Raw Cut Scores Four Proficiency Levels- Below Basic, Basic, Proficient, Advanced (see letter from Acting Commissioner Hendricks dated September 24, 2010) Raw Cut Scores 2009 Basic 18 (387, scale 300-850) Proficient 26 (44.8%) (450) Advanced 42 (575) NJ/Consortium Performance C 2010 A 4.8%, P 24.1%, B 24.8%, BB 46.4% P or A Performance Requires 26 Points Minimum (C- 2009) NJ Raw Mean Score 2009 18.43 NJ Mean Raw Points from MC Items 2009 15.74 (39.35%) NJ Mean Raw Points from OE Items 2009 2.69 (14.9%) Omission Rates (C- 2010) Percent of Students that left All Constructed Response Items Blank- 2.0% Percent of Students that Left All Extended Response Items blank- 7.8% Percent of Student that Left all Short Answer Items Blank2.4% Constructed Response Results(C2010) Percent of Students that Scored 0 Points on All Constructed Response Items- 23.4% (23.4-2=21.4%) Percent of Students that Scored 0 Points on All Extended Response Items- 33.5% Percent of Students that Scored 0 Points on all Short Answer Items- 42.0% (compare w/ bullet 2 above) Review of Statistics Mean Raw Score (NJ 2009)- 18.43(26) Mean Raw Points from OE Items (NJ 2010)-2.69 Omission Rates don’t fully account for bullet #2 23.4% of examinees get 0 from Constructed Response Items Scoring Rubrics Paper #1- NJ ASK 8 Item, Holistic Scoring Paper #2- ADP Algebra I Release Item, SR- 2 point max item, Analytic Scoring, Use of Value Points, Two key points to observe. Dichotomous distribution of scores. All answer spaces for Constructed Response (2 and 4 point items) Items have grids Highest score points are reserved for perfect papers (2.69) Constructed Responses items are embedded in test parts and are not identified as 2 or 4 point items Paper #3- ADP Release Item, ER- 4 points max Items Developed to Illustrate Scoring Notes The length of a rectangle is 8 inches longer than the width of the rectangle. The area of the rectangle is 33 square inches. Find the dimensions of the rectangle. Value points- how many? Items Developed to Illustrate Scoring Notes Graph y=x²-2x-8. (N1.a.) 1. Could be asked to find vertex 2. Could be asked to graph using x- intercepts and vertex 3. Shape will account for a value point (graph 5-points) 4. Watch concavity 5. Graph should be a function Items Developed to Illustrate Scoring Notes Graph the solution set of y≤2x+5. (L2.c.) Shading method should fully indicate a half plane Proper type of border line (shape and pattern) Items Developed to Illustrate Scoring Notes Solve 4x²=49 (N2.b.) Also see ADP sample #1 Show a solution strategy that accounts for all solutions, not just principal square root- this will account for a value point and in effect, a score point Solve |x-5|=26 (L2.b.) Items Developed to Illustrate Scoring Notes Simplify √(50x²y³) (O2.d.) Must account for absolute value (if necessary) for full score point value See Remaining ADP Release/Sample Items Questions? 609-984-9637 michael.luke@doe.state.nj.us