2008 MATHEMATICS ISAT: 2008 MATHEMATICS ISAT Megan Forness, ISBE 217/782-4823 www.isbe.net/assessment
mforness@isbe.net
NCLB and State Assessment: NCLB and State Assessment All states must assess Mathematics and Reading in grades 3 through 8 by the 2005-2006 school year
Only Mathematics and Reading are used for Adequate Yearly Progress (AYP) calculations
Annual Targets for Performance and Participation
ISAT: ISAT All Items Align to the Illinois Assessment Frameworks
Norm-referenced and criterion-referenced items
Stanford 10 format with color
Extended-time sessions for all students since 2006
2008 Mathematics ISAT: 2008 Mathematics ISAT Item formats: Multiple Choice (MC), Short Response (SR), Extended Response (ER) Pilot items within the test
Four answer choices for MC at all grades
Three 45-minute* sessions
Paper rulers for all grades (provided with test materials)
Reference sheet for grades 7-8 (provided with test materials)
Calculator use is allowed in grades 4-8
* Plus up to 10 additional minutes for all students
Rulers (Grades 3-8): Rulers (Grades 3-8)
Reference Sheet: Reference Sheet (Grades 7-8)
ISAT Mathematics Sessions Grades 3-8 : ISAT Mathematics Sessions Grades 3-8 Test Window: March 3-14, 2008* *See www.isbe.net/assessment/pdfs/Modification_2008.pdf for more details about how to modify the test window dates.
ISAT Item Development: ISAT Item Development With the exception of Stanford 10 test items, Illinois educators write all items
Items were written in June 2006, reviewed in August 2006, and pilot-tested in March 2007
Item data analyzed by ISBE and educators
Some were selected for 2008 ISAT
ISBE Needs Educators!: ISBE Needs Educators! Building state assessments requires the assistance of expert educators to do the following:
Write items
Review items
Assist in applying rubrics to items for the scoring of short- and extended-response items
Review pilot data
Test Preparation: Test Preparation Be familiar with the Illinois Learning Standards and the Assessment Frameworks.
Integrate test-taking skills into regular classroom instruction.
Be familiar with and practice different test item formats with students.
Create a positive atmosphere for testing.
ISAT Reporting: ISAT Reporting Illinois Student Report Summary (Page 1)
ISAT Reporting: Illinois Student Report Mathematics Results (Page 3) ISAT Reporting
ISAT Reporting: Illinois Student Report National Comparisons (Page 4)
NPR data are derived only from the thirty Stanford 10 items, which have been nationally normed. ISAT Reporting
NPR vs. Overall Scale Score Example with 2007 ISAT Data: NPR vs. Overall Scale Score Example with 2007 ISAT Data Student A: NPR=94, Scale Score=233 Exceeds
Student B: NPR=55, Scale Score=233 Exceeds
How can this happen? (Remember, NPR scores consider only the SAT-10 (first 30) items.)
NPR vs. Overall Scale Score Example with 2007 ISAT Data: NPR vs. Overall Scale Score Example with 2007 ISAT Data Grade 3 Student Details:
Student A: NPR=94, Scale Score=233 Exceeds Goal 6=22/23, Goal 7=8/12, Goal 8=7/7, Goal 9=10/14, Goal 10=6/9 Total Multiple-Choice=53/65
SR #1=2 SR #2=2 ER=4, 4, 3 Student B: NPR=55, Scale Score=233 Exceeds Goal 6=19/23, Goal 7=7/12, Goal 8=7/7, Goal 9=11/14, Goal 10=9/9 Total Multiple-Choice=53/65
SR #1=2 SR #2=2 ER=3, 4, 4
Slide17: Conclusion for Grade 3 Students…
Student A and Student B answered the same number of multiple-choice items correctly (53/65), and earned exactly the same number of rubric points overall (4 for SR and 11 for ER), which causes the scale scores to be identical at 233, Exceeds.
Student B missed more multiple-choice items from the SAT-10 (first 30) items than Student A, causing the NPR for Student B to be lower than the NPR for Student A. NPR vs. Overall Scale Score Example with 2007 ISAT Data
NPR vs. Overall Scale Score Example with 2007 ISAT Data : NPR vs. Overall Scale Score Example with 2007 ISAT Data
Student A: NPR=99, Scale Score=285 Exceeds
Student B: NPR=99, Scale Score=277 Exceeds
How can this happen? (Remember, NPR scores consider only the SAT-10 (first 30) items.)
NPR vs. Overall Scale Score Example with 2007 ISAT Data: NPR vs. Overall Scale Score Example with 2007 ISAT Data Grade 5 Student Details:
Student A: NPR=99, Scale Score=285 Exceeds Goal 6=19/19, Goal 7=11/11, Goal 8=10/13, Goal 9=12/13, Goal 10=8/9 Total Multiple-Choice=60/65
SR #1=2 SR #2=2 ER=4, 4, 2 Student B: NPR=99, Scale Score=277 Exceeds Goal 6=18/19, Goal 7=11/11, Goal 8=10/13, Goal 9=11/13, Goal 10=8/9 Total Multiple-Choice=58/65
SR #1=2 SR #2=2 ER=4, 3, 3
Slide20: Conclusion for Grade 5 Students…
Student A and Student B answered all the SAT-10 (first 30) items correctly, which causes the NPR scores to be identical at 99.
Both students earned exactly the same number of rubric points overall (4 for SR and 10 for ER).
Student A answered 2 more (non-SAT 10) multiple-choice items correctly than Student B, which causes the scale score for Student A to be higher than the scale score for Student B. NPR vs. Overall Scale Score Example with 2007 ISAT Data
Mathematics Content Category Table Illinois Mathematics Assessment Framework (p.13): Mathematics Content Category Table Illinois Mathematics Assessment Framework (p.13)
Assessment Objectives Excerpt from Goals 6 and 7: Assessment Objectives Excerpt from Goals 6 and 7
Grade 3 Mathematics Multiple-Choice Sample: Grade 3 Mathematics Multiple-Choice Sample Assessment Objective 6.3.11: Model and apply basic multiplication facts (up to 10×10), and apply them to related multiples of 10 (e.g., 3×4=12, 30×4=120).
Grade 4 Mathematics Multiple-Choice Sample: Grade 4 Mathematics Multiple-Choice Sample Assessment Objective 6.4.16: Make estimates appropriate to a given situation with whole numbers.
Grade 5 Mathematics Multiple-Choice Sample: Grade 5 Mathematics Multiple-Choice Sample Assessment Objective 7.5.07: Solve problems involving map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).
Grade 6 Mathematics Multiple-Choice Sample: Grade 6 Mathematics Multiple-Choice Sample Assessment Objective 10.6.05: Solve problems involving the probability of a simple event, including representing the probability as a fraction, decimal, or percent.
Grade 7 Mathematics Multiple-Choice Sample: Grade 7 Mathematics Multiple-Choice Sample Assessment Objective 9.7.03: Solve problems using properties of triangles and quadrilaterals (e.g., opposite sides of a parallelogram are congruent).
Grade 8 Mathematics Multiple-Choice Sample: Grade 8 Mathematics Multiple-Choice Sample Assessment Objective 8.8.04: Recognize and generate equivalent forms of algebraic expressions.
Reader Script: Reader Script Only students whose IEP or Section 504 Plan indicates that the assessment may be read to them may be read to during state assessments.
Students must use a Form 1 test booklet because the Reader Scripts are produced using Form 1.
Scripts must be used so that every student in Illinois hears the item presented consistently.
Reader Script Example 1: Reader Script Example 1 Reader Script Text
Question number 1. The scale on Todd’s map is one inch equals two hundred miles. The distance from his house to his friend’s house on the map is five and one-fourth inches.
What is the distance in miles from Todd’s house to his friend’s house?
A. One thousand miles
B. One thousand fifty miles
C. One thousand five hundred miles
D. Twenty-four thousand miles
Reader Script Example 2: Reader Script Example 2 Reader Script Text
Question number 2. Tim’s mother put these cookies on a plate.
The picture shows a plate with cookies.
Which kind of cookie would Tim most likely get if he takes one without looking?
Choose answer A, B, C, or D.
Reader Script Example 3: Reader Script Example 3 Reader Script Text
In the nineteen eighty-eight Olympic Games, Florence Griffith Joyner of the United States set an Olympic record for the women’s one hundred-meter dash. Her time was ten and sixty-two hundredths seconds. How is this time written as a number?
Choose answer A, B, C, or D.
Note: Reading the choices here would give away the answer.
2008 Mathematics ISAT Changes from 2007: 2008 Mathematics ISAT Changes from 2007 Work Space has been added to Session 2 for the grade 3 multiple-choice pages.
Short- and Extended-response sample items and sample student responses have been removed from the directions of all grade levels.
Short-Response Sample : Short-Response Sample
Extended Response Sample: Extended Response Sample
Short and Extended Response: Short and Extended Response Short- and Extended-Response items are scored using a rubric. (www.isbe.net/assessment/math.htm)
Item-specific rubrics are developed for each item before scoring.
The 2 short-response items contribute a total of 5% to the scale score.
The 1 extended-response item contributes a total of 10% to the scale score.
Short and Extended Response: Short and Extended Response
Short- and Extended-Response Items: Short- and Extended-Response Items Short- and Extended-Response items are only different item formats, they do not define the content. The content is defined in the Illinois Mathematics Assessment Framework.
Directions for how students are to respond are included in the items themselves (e.g., show your work, label your answer).
Use released ISAT short- and extended-response sample items from grades 3 through 8 to practice this format.
Slide41: Assessment Objective 6.3.07: Identify and locate whole numbers and halves on a number line. Grade 3 Mathematics Short-Response Sample from 2007 ISAT
Grade 4 Mathematics Short-Response Sample from 2007 ISAT: Grade 4 Mathematics Short-Response Sample from 2007 ISAT Assessment Objective 6.4.10: Solve problems and number sentences involving addition and subtraction with regrouping and multiplication (up to three–digit by one–digit).
Grade 5 Mathematics Short-Response Sample from 2007 ISAT: Grade 5 Mathematics Short-Response Sample from 2007 ISAT Assessment Objective 10.5.05: Apply the fundamental counting principle in a simple problem (e.g., How many different combinations of one–scoop ice cream cones can be made with 3 flavors and 2 types of cones?).
Grade 6 Mathematics Short-Response Sample from 2007 ISAT: Grade 6 Mathematics Short-Response Sample from 2007 ISAT Assessment Objective 8.6.03: Evaluate algebraic expressions with up to two whole number variable values (e.g., evaluate 3m + n + 3 when m = 4 and n = 2).
Grade 7 Mathematics Short-Response Sample from 2007 ISAT: Grade 7 Mathematics Short-Response Sample from 2007 ISAT Assessment Objective 7.7.02: Solve problems involving the perimeter and area of polygons and composite figures using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).
Grade 8 Mathematics Short-Response Sample from 2007 ISAT: Grade 8 Mathematics Short-Response Sample from 2007 ISAT Assessment Objective 9.8.09: Solve problems involving vertical, complementary, and supplementary angles.
Slide47: The answer space for each short-response item is 1 page, and it has faint square cm grid lines.
These grid lines may help students if the item requires them to show work.
Grade 3 Mathematics Extended-Response Sample from 2007 ISAT: Grade 3 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 10.3.02: Complete missing parts of a pictograph, bar graph, tally chart, or table for a given set of data.
Grade 4 Mathematics Extended-Response Sample from 2007 ISAT: Grade 4 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 6.4.11: Solve problems involving the value of a collection of bills and coins whose total value is $100.00 or less, and make change.
Grade 5 Mathematics Extended-Response Sample from 2007 ISAT: Grade 5 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 6.5.14: Model situations involving addition and subtraction of fractions.
Grade 6 Mathematics Extended-Response Sample from 2007 ISAT: Grade 6 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 10.6.04: Determine the mode, range, median, and mean, given a set of data or a graph.
Grade 7 Mathematics Extended-Response Sample from 2007 ISAT: Grade 7 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 9.7.14: Determine if figures are similar, and identify relationships between corresponding parts of similar figures.
Grade 8 Mathematics Extended-Response Sample from 2007 ISAT: Grade 8 Mathematics Extended-Response Sample from 2007 ISAT Assessment Objective 10.8.03: Create a bar graph, chart/table, line graph, or circle graph and solve a problem using the data in the graph for a given set of data.
Slide54: The answer space for each extended-response item is 2 full pages. Page 1 has a blank area, and page 2 has faint square cm grid lines.
Slide55: Explain and display the “student-friendly” version of the scoring rubric.
Discuss “what you did” and “why you did it” for multiple-choice items, too.
Discuss and display a variety student work in the classroom.
Aim for the in all 3 rubric dimensions!
Use a T-chart to help guide explanations. This helps some students remember to explanation what they did and why they did it.
Use previous ISAT tasks from the sample books. (All are available online.)
Write about mathematics in a journal/math notebook.
Practice! Practice! Practice! Extended-Response in the Classroom:
Ideas to Help Teachers Help Students
Short- and Extended-Response Samples: Short- and Extended-Response Samples All items are available online at: www.isbe.net/assessment/htmls/math_released_er.htm These items are organized by where they appeared on ISAT. Feel free to use these items with higher or lower grades or create your own adaptations of these items for additional practice.
Contact Information : Contact Information
Megan Forness, ISBE Mathematics Assessment
217/782-4823
www.isbe.net/assessment
mforness@isbe.net