New MATH ISAT and the Illinois Assessment

Framework

September 2005

Joan Barrett Madison County ROE

jbarrett@roe41.k12.il.us

New Contractor-Harcourt Educational Measurement

Responsible for test development, printing, scoring, and reporting

Stanford 10 format with color Aligned to Illinois Assessment

Framework (IAF)

2006 Mathematics ISAT

All test items on the 2006 ISAT align to the Illinois Mathematics Assessment Framework

Norm-referenced Stanford 10 items Same items taken in other states for

national comparison Criterion-referenced items

Illinois-developed and used only in Illinois

All items contribute to the overall ISAT scale score.

Reporting

Strengths and weaknesses listed for schools

Student results for parents with more information- more detailed reporting that is tied to the IAF

More data information than previous ISAT Performance levels remain the same

(Exceeds, Meets, Below, Academic Warning) Test results: Online by June 1, 2006

Grade

3 4 5 6 7 8

Mathematics

Reading

Science

Grades and Subjects to be tested March 13-24th, 2006

Session 1 Session 2 Session 3

40* multiple-choice items* 30 of these items will be an abbreviated form of the Stanford 10.

30 multiple-choice items (5 are pilot)3 Short-response items (1 is pilot)

2 Extended-response items (1 is pilot)

45 minutes * 45 minutes * 45 minutes *

The ISAT mathematics will be administered in three sessions and applies to all grades 3-8.

* Extended time: up to an additional ten minutes for each session

Item Formats Multiple–choice (MC) items – 70 items (5

pilot) Short constructed–response (SCR) items are

similar to multiple-choice items but require the student to write a response, as opposed to select from a list of possibilities - 3 items (1 pilot)

Extended–response (ER) items- Students are expected to clearly communicate through writing, pictures, diagrams, or well–ordered steps) their solution process - 2 items (1 pilot)

How to Create or Find Samples of Short Constructed Response Items

Use old MC items and remove the choices Go to http://nces.ed.gov/nationsreportcard

/ Select “mathematics” from the subject

area list on the left hand side of the page Scroll down to How the NAEP Mathematics

Assessment Works and select the third bullet that says “Explore sample questions..”

How to find Samples of Short Constructed Response (cont.)

Then click on the blue bar at the top left that says “new search”

Then scroll down on this new page to Advanced Search and use the drop down to select “mathematics” from the select a subject bar.

Hit “continue”

Sample SCR item for 4th grade

Which two of the items above would provide a total of about 600 calories?  

Answer:____________________              ____________________ 

Sample SCR for 8th Grade

Two whole numbers, each greater than 2, are multiplied together. The product is 126. What could the two numbers be?

________ and ________

Did you use the calculator on this question?

 

 

Short and Extended Response

Short-response items and Extended-response items are scored using a rubric. Item-specific rubrics are developed for

each item before scoring. The 2 short-response items will

contribute 5% to the scale score. The 1 extended-response item will

contribute 10% to the scale score.

Short Constructed Response Rubric

2Completely correct response, including correct work shown and/or correct labels/units if called for in the item

Note: Task-specific rubrics are developed for each item before scoring.

Partially correct response1

No response, or the response is incorrect0

Rubric for Extended Response

Revised August 2005 Available at the ISBE

Website http://www.isbe.net/assessment/

math.htm )

Kid FriendlyRubrics

Available at the ISBE website http://www.isbe.net/assessment/

math.htm 3-4 grade levels are combined 5-6 grade levels are combined 7-8 grade levels are combined

Test Item Development Illinois items written by teachers in

October 2004 Reviewed by teachers in November 2004 Pilot-tested with Illinois students in

April 2005 No test results for students or schools Only results on individual items

Data analyzed Some selected for 2006 ISAT

Calculators

In grade 3, students are not allowed to use calculators on any part of the mathematics assessment, unless it is a documented accommodation for a student with an Individualized Education Program (IEP).

In grades 4 through 8, students are allowed to use a calculator on any part of the mathematics assessment.

Students are allowed to use any calculator they normally use in their mathematics classes.

The ruler provided to all students in grade 3 is divided into quarters of an inch and half centimeters..These rulers are printed eight to a page on hard-stock paper and must be torn out prior to testing.

Rulers for 3 graders

Rulers for 4-8 The 6-inch ruler provided to all students in

grades 4 through 8 is divided into eighths of an inch and millimeters.

These rulers are printed eight to a page on hard-stock paper and must be torn out prior to testing.

All students in grades 7 and 8 will be provided with a reference sheet to use during the mathematics assessment. This reference sheet includes any necessary formulas for items at those grades.

Reference Sheet for 7 and 8

STANFORD 10 REFERENCE SHEET Middle Grades

FORMULAS FOR PLANE FIGURES Parallelogram: A=bh Trapezoid: A=1/2 (b1 + b2) h Triangle: A=1/2 bh Circle: C=2r A=r2 Right Triangle: The Pythagorean Formula c2 = a2 + b2

FORMULAS FOR SOLID FIGURES Prism: V=Bh (B is the area of the base.) Right Cylinder: V=r2h Regular Pyramid: V=1/3Bh

Summarizing Changes in the 2006 test

All grades 3-8 will be tested in both reading and math

Students will receive a norm-referenced score in addition to the criteria referenced score that had been given in the past

Not all items will be developed by IL teachers but all items will be reviewed by IL teachers

Time may be extended (beyond 45 minutes ) for students still actively engaged in taking a section of the test

Summarizing Changes in the 2006 test (continued)

The addition of Short Constructed Response (SCR) items

Students will be given 6-inch rulers and asked to measure during testing

Four answer choices for MC at all grades The IL Assessment Framework - Specific

list of what is going to be tested at each grade level is available to all educators

Illinois Assessment Framework

was designed to clearly define those elements of the Illinois Learning Standards that are suitable for state testing beginning in the 2005-2006 school year

Designed for:

Test makers Educators Policy Makers General Public

Website

Illinois Assessment Frameworks

(for 2006 Assessments) can be found at:

www.isbe.net/assessment/IAFindex.htm

Resources that were used when writing the IAF

Illinois Learning Standards including the Performance Descriptors

The National Council of Teachers of Mathematics (NCTM) National Standards

The National Assessment of Educational Progress (NAEP) framework

Content Emphasis

The proportion of each year’s tests devoted to each math goal is clearly specified in the Mathematics Content Category Table

These percents are estimates used to guide the general distribution of items throughout the test.

Grade 3 4 5 6 7 8

CalculatorsNot Allowed

CalculatorsAllowed

CalculatorsAllowed

CalculatorsAllowed

CalculatorsAllowed

CalculatorsAllowed

State Goal 6 – Number Sense 35% 35% 30% 25% 25% 20%

Standard 6ARepresentations and Ordering

15% 15% 10% 5% 5% 5%

Standards 6B, 6CComputation, Operations, Estimation, and Properties

20% 20% 15% 15% 15% 10%

Standard 6DRatios, Proportions, and Percents

0% 0% 5% 5% 5% 5%

State Goal 7 – Measurement 20% 20% 15% 15% 15% 15%

Standards 7A, 7B, 7CUnits, Tools, Estimation, and Applications

20% 20% 15% 15% 15% 15%

State Goal 8 – Algebra 10% 10% 20% 25% 25% 30%

Standard 8ARepresentations, Patterns, and Expressions

5% 5% 8% 10% 10% 10%

Standard 8BConnections Using Tables, Graphs, and Symbols

0% 2% 5% 7% 7% 10%

Standards 8C, 8DWriting, Interpreting, and Solving Equations

5% 3% 7% 8% 8% 10%

State Goal 9 – Geometry 20% 20% 20% 20% 20% 20%

Standard 9AProperties of Single Figures and Coordinate Geometry

15% 15% 10% 10% 10% 10%

Standard 9BRelationships Between and Among Multiple Figures

5% 5% 10% 10% 10% 10%

Standard 9CJustifications of Conjectures and Conclusions

This standard is not assessed in isolation. Rather, its essence is assessed indirectly through problems that require this type of thinking.

Standard 9DTrigonometry

This standard is not assessed on the state assessment until grade 11.

State Goal 10 – Data Analysis, Statistics, and Probability 15% 15% 15% 15% 15% 15%

Standards 10A, 10BData Analysis and Statistics

10% 10% 10% 10% 8% 8%

Standard 10CProbability

5% 5% 5% 5% 7% 7%

Total 100% 100% 100% 100% 100% 100%

Standard 6A – Representations and

Ordering

Related Textbook pages Related Additional Resources and Activities

Assessment Items

Calculators Not Allowed

6.3.01 Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 100,000.

6.3.02 Identify and write (in words and standard form) whole numbers up to 100,000.

6.3.03 Recognize a fraction represented with a pictorial model.

6.3.04 Represent multiplication as repeated addition.

6.3.05 Order and compare whole numbers up to 10,000 using symbols (>, <, or =) and words (e.g., greater (more) than, less than, equal to, between).

Frequently asked question

What’s a “net”? (two dimensional drawing of three dimensional shape)

9.3.08 Identify a three–dimensional object from its net.

Each Objective has a unique identifier with three components:

State Goal - 6 Grade level – 3 for 3rd grade Objective Number – “01”

indicates that this is the first assessment objective for this state goal 6

Example: 6.3.01

Grade 3 ISAT itemSets 1, 4, 6IAF: Primary 7.3.03, Secondary 9.3.01

What is the perimeter of the square?5 m

A. 5 mB. 10 mC. 15 mD. 20 m

from Illinois Standards Achievement Test Sample Mathematics Materials 2003, page 17

Grade 5 ISAT itemSet 5IAF: Primary 9.5.13

Which of these figures are congruent?

A. M and OB. N and PC. N and RD. N and QE. P and O

from Illinois Standards Achievement Test Sample Mathematics Materials 2003, page 32

Grade 8 ISAT itemSets 1, 2, 5 IAF: Primary 9.8.11, Secondary 6.8.16

∆XYZ is similar to ∆RST. What is the length of ST?

X

A. 5 cm 8 cm 10 cm

B. 7.5 cm

C. 8 cm Y 12 cm Z

D. 9 cmE. 10 cm R

6 cm S T

from Illinois Standards Achievement Test Sample Mathematics Materials 2003, page 63

Assessing Standards such as 9C

“Construct convincing arguments and proofs to solve problems.”

Must use Extended-Response Item to assess standards such as this

Megan Forness

Illinois State Board of EducationPrincipal Performance Consultant100 North First Street Student Assessment Division E-216Springfield, IL 62777-0001

E-mail: mforness@isbe.net Web site: www.isbe.net/assessment