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KeyMath-3 Diagnostic Assessment

(KeyMath-3 DA)
  • Austin J. Connolly, EdD

KeyMath™-3 Diagnostic Assessment is an individually administered measure of essential mathematical concepts and skills. It consists of three linked components: The updated KeyMath 3 Diagnostic Assessment, ASSIST™ Scoring and Reporting Software, and the KeyMath 3 Essential Resources instructional program.

Scores/Interpretation:

Areas and Total Test: Grade-and age-based standard scores (M=100, SD=15), grade and age equivalents, percentile ranks and Growth Scale Values. Subtests: Grade- and age-based scale scores (M=10, SD=3), and grade and age equivalents.

Age range:
4:6-21:11; Grades K-12
Publication date:
2007
Qualification level:
B
Completion time:
30 to 90 minutes
Administration:
Paper-and-pencil
Scoring options:
ASSIST™ Software or Manual Scoring

Pricing & Ordering

Please note that the software-based scoring and reporting is compatible with Windows 7 and 10 and Mac High Sierra.

 

 

  • KeyMath3 DA Form A Easel 1

    31206

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form A Easel 2

    31207

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form B Easel 1

    31208

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form B Easel 2

    31209

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Record Forms A

    31201

    KeyMath 3 Form A: Includes 25 Record Forms and 25 Written Computation Examinee (Response) Booklets

    Pricing and Qualification

    Price: $96.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Record Forms B

    31202

    KeyMath 3 Form B: Includes 25 Record Forms and 25 Written Computation Examinee (Response) Booklets

    Pricing and Qualification

    Price: $96.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Form A Starter Kit

    31230

    Includes Manual, Easel 1, Easel 2, 25 record forms, and carrying bag

    Pricing and Qualification

    Price: $497.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Form B Starter Kit

    31235

    Includes Manual, Easel 1, Easel 2, 25 record forms, and carrying bag

    Pricing and Qualification

    Price: $497.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Form A and B Combined Starter Kit

    31220

    Includes all the materials for both Form A and Form B starter kits

    Pricing and Qualification

    Price: $878.75

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Manual

    31205

    Pricing and Qualification

    Price: $145.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form A Easel 1

    31206

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form A Easel 2

    31207

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form B Easel 1

    31208

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Form B Easel 2

    31209

    Pricing and Qualification

    Price: $164.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Diagnostic Assessment Form A and B Combined Starter Kit w/ASSIST Software

    31225

    Includes all the materials for Form A and Form B starter kits

    Pricing and Qualification

    Price: $1,046.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Diagnostic Assessment Starter Kit Form A w/ ASSIST Software

    31231

    Includes Manual, Easel 1, Easel 2, 25 record forms, 1 carrying bag and ASSIST software

    Pricing and Qualification

    Price: $662.25

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Diagnostic Assessment Starter Kit Form B w/ASSIST Software

    31236

    Includes Manual, Easel 1, Easel 2, 25 record forms, 1 carrying bag and ASSIST software

    Pricing and Qualification

    Price: $662.25

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Record Forms A

    31201

    KeyMath 3 Form A: Includes 25 Record Forms and 25 Written Computation Examinee (Response) Booklets

    Pricing and Qualification

    Price: $96.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 Record Forms B

    31202

    KeyMath 3 Form B: Includes 25 Record Forms and 25 Written Computation Examinee (Response) Booklets

    Pricing and Qualification

    Price: $96.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath 3 ASSIST Online Instruction Sheet

    0158014758

    Pricing and Qualification

    Price: $329.00

    Qualification Level B

    Ordering

    In stock

  • KeyMath3 DA Manual

    31205

    Pricing and Qualification

    Price: $145.00

    Qualification Level B

    Ordering

    In stock

Product Details

KeyMath-3 DA covers the full spectrum of math concepts and skills that are typically taught in kindergarten through ninth grade.

Benefits

  • Monitor an individual’s progress over time.
  • Cover the full spectrum of math concepts and skills that are typically taught in kindergarten through ninth grade.
  • Present math problems in real-world contexts using items that require standard and non-standard problem-solving strategies.

Features

Items are grouped into 10 subtests that represent three general math content areas: Basic Concepts (conceptual knowledge), Operations (computational skills), and Applications (problem solving).

  • Available in two parallel forms, designated as Form A and Form B, each of which contains 372 full-color test items.
  • Updated content that extends through factoring and solving algebraic expressions.
  • Includes two separate written computation subtests (Addition and Subtraction; Multiplication and Division).
  • Includes items that require students to identify missing elements in a problem, operations needed to solve a problem, and optimal strategies for solving the problem.
  • Alignment with national math curriculum standards and link to the KeyMath 3 Essential Resources companion instructional program.
  • Norms based on approximately 4,000 individuals representing U.S. demographics by sex, race, socioeconomic status, region, and disability condition.

Subtest

Number of Items

Basic Concepts

Numeration

Algebra

Geometry

Measurement

Data Analysis and Probability

Operations

Mental Computation and Estimation

Written Computation: Addition and Substaction

Written Computation: Multiplication and Division

Applications

Foundations of Problem Solving

Applied Problem Solving

 

49

39

36

40

40

 

40

35

31

 

27

35

Sample Reports & Items

Sample report and items from three selected subtests are available for review. Several types of norm-referenced scores are provided, including scale and standard scores, percentiles, age and grade equivalents, and growth values

At a glance

Get a closer look at the benefits and features of this product.

Watch now

Resources

 

FAQs

Frequently asked questions follow. Click on a question to see the response.

KeyMath 3 Diagnostic Assessment

I've been using the KeyMath Revised/NU for years. Why should I upgrade to the KeyMath 3 Diagnostic Assessment?

The KeyMath 3 Diagnostic Assessment offers several new features, including the following:

  • Updated and expanded norms. The new norms are based on data collected in the spring and fall of 2006. Age norms now range from 4 years 6 months through 21 years 11 months.
  • New item content and a new subtest organization align the assessment with current national math standards.
  • The addition of pre-algebra and algebra content makes the assessment more relevant for students at higher grade levels.
  • Alignment with the National Council of Teachers of Mathematics Principles and Standards for School Mathematics, published in 2000.

Is the KeyMath 3 Diagnostic Assessment aligned with my state standards?

Yes. The National Council of Teachers of Mathematics (NCTM) published Principles and Standards for School Mathematics in 2000 and the Curriculum Focal Points in 2006. These documents have become the industry standard, as most states use them as guidelines when developing their standards. The KeyMath 3 Diagnostic Assessment is designed around the NCTM standards, and thus, the assessment matches up well to state standards.

How can the KeyMath 3 Diagnostic Assessment be used to monitor progress for students struggling in math?

The KeyMath 3 Diagnostic Assessment includes two versions (Form A and Form B) that can be administered in alternating sequence every 3 months. With the addition of the new Growth Scale Values (GSVs), the assessment provides an accurate measure of student progress across a wide range of math concepts and skills. The new Progress Monitoring Report, which is generated automatically with the KeyMath 3 ASSIST™ Scoring and Reporting Software, plots student performance in each of the three KeyMath 3 areas―basic concepts, operations, and applications―as well as total test performance.

How does the KeyMath 3 Diagnostic Assessment fit into the new response to intervention (RTI) model?

The ASSIST Scoring and Reporting Software includes a Progress Monitoring Report that describes progress in three important ways. It (a) shows the amount of change across assessment administrations, (b) provides information as to whether a student's progress over administrations is significantly greater than 0 (no growth), and (c) compares a student's growth rate with the expected growth rate of the representative population (by grade or age).

Isn't the KeyMath 3 Diagnostic Assessment for special-education students?

Although the previously published KeyMath Revised/NU has been used extensively in special-education classrooms, it is clear that its benefits as a comprehensive measure of mathematical ability extend well to the general-education environment. The KeyMath Revised/NU is currently used by Title 1 programs and in resource rooms around the country. The KeyMath 3 Diagnostic Assessment, with the addition of algebra content and progress-monitoring components (both of which are critical to assisting general-education students who struggle with math), is relevant and useful in a broad range of classroom settings.

How often can I administer the assessment to a student?

The KeyMath 3 Diagnostic Assessment can be administered as often as every 3 months when alternating the Form A and Form B versions.

Can I administer individual subtests?

Each KeyMath 3 Diagnostic Assessment subtest provides important information about a student's level of functioning in a particular strand of mathematics. Subtest performance can be used to design instructional intervention and to prioritize intervention topics. The decision to administer only one or two KeyMath 3 subtests should be limited to cases in which the practitioner has determined the area of greatest need and wants to obtain a greater degree of specificity about the student's ability in that area. Individual subtest administration is not recommended for measuring and reporting progress over time. KeyMath 3 area (basic concepts, operations, and applications) and total test scores, which are highly reliable, are best suited to accurately report student progress.

Can I administer individual areas?

Each of the three KeyMath 3 Diagnostic Assessment areas (basic concepts, operations, and applications) provides a comprehensive and reliable measure of math proficiency. The decision to administer one particular area should be limited to cases in which the practitioner has identified the area of greatest need and wants to target intervention to that area. In such cases, the practitioner should limit retesting to that area because this is the most direct and efficient way to assess the success of the intervention and the student's progress.

Why is the administration time so long?

The KeyMath 3 Diagnostic Assessment is a comprehensive measure of mathematical ability that is designed to meet the needs of a wide range of students. There is nothing else like it available. With a single administration, a practitioner can comprehensively and accurately measure the math proficiency and conceptual knowledge of any student from pre-kindergarten through 12th grade. The assessment uses an adaptive administration procedure that adjusts to an individual's functional level. The assessment's feedback to practitioners and parents is detailed, rich, and most important, immediately actionable.

Administration times for the entire battery of subtests range from 30 to 90 minutes, depending on the student's grade level. Practitioners who have identified a student's area of greatest need (e.g., general conceptual knowledge, computational skills, etc.), may elect to administer only the subtests that correspond to that particular area, which will result in a shorter administration time. The table below shows estimated KeyMath 3 administration times, by area and grade.

Estimated Administration Time (in Minutes), by Area and Grade

   Grade

Basic Concepts

Operations

Applications

   Pre-K

10-15

0-5

5-10

   K

15-20

0-5

5-10

   1

20-25

5-10

10-15

   2

30-35

5-10

10-15

   3

35-40

10-15

15-20

   4

40-45

10-15

15-20

   5

40-45

15-20

15-20

   6

40-45

15-20

15-20

   7

40-45

15-20

15-20

   8

40-45

20-25

15-20

   9-12+

40-45

20-25

15-20

Note. Values estimated from standardization data.

How was the KeyMath 3 Diagnostic Assessment normed?

Normative data were obtained in 2006, with a large sample consisting of approximately 4,000 individuals representing U.S. demographics by sex, race, socioeconomic status, region, and disability condition. The norm sample ranges in age from 4 years 6 months through 21 years 11 months. Both age norms and grade (fall and spring) norms are available.

Can I obtain samples of the assessment items?

Sample items corresponding to three of the KeyMath 3 Diagnostic Assessment subtests (Algebra, Applied Problem Solving, and Mental Computation and Estimation) are available at the KeyMath 3 web page. The items are not actual items from the assessment but provide an accurate depiction of item content and difficulty.

Is the KeyMath 3 Diagnostic Assessment aligned with NCTM's Principles and Standards for School Mathematics, published in 2000?

Yes. In fact, as is shown in the table below, the five NCTM content standards are represented almost verbatim in the five KeyMath 3 Basic Operations subtests. Because of the importance of assessing math operations, they remain as stand-alone subtests in the KeyMath 3 Diagnostic Assessment.

Alignment of the KeyMath 3 Diagnostic Assessment With Current NCTM Standards

   NCTM Standards                                         KeyMath 3 Diagnostic Assessment
   Number and Operations   Numeration
   Algebra   Algebra
   Geometry   Geometry
   Measurement   Measurement
   Data Analysis and Probability   Data Analysis and Probability
   Note. NCTM = National Council of Teachers of Mathematics.

In addition, the following five NCTM process standards are incorporated in KeyMath 3 items throughout each of the 10 subtests: Communication, Connections, Problem Solving, Reasoning and Proof, and Representation.

Does the KeyMath 3 Diagnostic Assessment include a screener?

The KeyMath 3 Diagnostic Assessment is a comprehensive, individually administered measure of mathematical ability that is designed to be a diagnostic tool with specific, actionable results. However, in instances where the breadth of diagnostic information is not necessary, it is recommended that practitioners administer the five Basic Concepts subtests (Numeration, Algebra, Geometry, Measurement, and Data Analysis and Probability). These subtests cover a broad range of math concepts and provide a level of accuracy that is appropriate for making placement decisions. Administration of only the Basic Concepts subtest also reduces administration time. For students in the early elementary grades (pre-K–2nd grade), administration times ranges from 15 to 30 minutes. for students in 3rd grade and above, administration times range from 35 to 45 minutes.

Why does the Diagnostic Assessment specify content through Grade 9? Why that grade and not another?

Generally speaking, most states mandate that all high school graduates receive instruction in math through Algebra. At the same time, with Algebra being conceived as a strand that begins in kindergarten, it's not clear to say that KeyMath content culminates in Algebra. So, we identify that the content contains material through what's commonly viewed as grade 9 level material. This is generally considered the point at which the foundations of math are completed and students who move in math begin to explore specific areas of math with coursework in geometry, algebra, trigonometry, etc.

 

KeyMath 3 ASSIST Scoring and Reporting Software

When will the KeyMath 3 ASSIST Scoring and Reporting Software be available?

The KeyMath 3 Diagnostic Assessment will publish September 14, 2007 and the KeyMath 3 ASSIST software will release just a few weeks later on October 18, 2007. Practitioners who order KeyMath kits prior to publication will be shipped their testing easels, manual and record forms when they publish on September 14th. They will be able to begin testing immediately upon receiving their kits but will need to handscore the assessments at that time. When released, ASSIST will automatically ship to all customers who ordered the scoring and reporting software in their kit.

Why do I need the ASSIST software? I've always used the hand-scoring method, and that has worked fine.

The KeyMath 3 ASSIST software ensures that reports are generated accurately on the basis of the data that the practitioner inputs into the application. In addition, the ASSIST software provides the following reports and information, which are otherwise unavailable:

  • Progress Report Charts an examinee's progress and provides an analysis of his or her growth. Progress is reported using growth scale values (GSVs), which allow practitioners to track individuals' improvement over time (i.e.; across multiple test administrations). GSVs for each of the three KeyMath 3 DA areas and the Total Test are presented in the graphical and tabular formats.
  • Item and Functional-Range Analysis Identifies KeyMath 3 DA items that fall within an individual's functional range, identifies items that may require particular attention, and presents the behaviorial objective measured by each of the items included in the analysis. In addition, the report identifies appropriate lessons contained in the KeyMath 3 ER.
  • Narrative Report Provides a description of an examinee's KeyMath 3 DA subtest, area, and Total Test scores. It includes explanations of percentile ranks and descriptive categories (e.g., well-above average, average, below avreage) and describes an examinee's mathematical performance in relation to a nationally representative sample of individuals of the same grade or age.
  • Parent/Caregiver Letter This one-page letter provides a means of communicating an examinee's test to his or her parents or caregivers. It briefly describes the various features of the test and provides content area and Total Test percentile ranks and descriptive categories, which are useful in identifying and communicating an examinee's test performance.
  • Link to KeyMath 3 Essential Resources The KeyMath 3 ASSIST software also provides a direct link to the KeyMath 3 ER. ASSIST users who have purchased the KeyMath 3 ER will be able to access appropriate, examinee-specific instructional material with the click of a button. The KeyMath 3 ER exercises and practice activities can be used to develop a customized instructional program.

What other types of information and reports are available with the KeyMath 3 ASSIST Scoring and Reporting Software?

The KeyMath 3 ASSIST software includes the following options for interpreting results:

  • Score Summary. Presents all KeyMath 3 DA norm-referenced scores (for the Total Test, each of the three content area, and each of the 10 subtests) in a single comprehensive table.
  • Score Profile. Provides an excellent tool for identifying and prioritizing instructional programs. Subtest scale scores and area and Total Test standard scores are plotted on a graph, enabling the practitioner to easily and quickly identify an examinee's lowest and highest areas of functioning.
  • Area Comparisons. Enables the practitioner or researcher to determine whether an examinee's performance differs significantly across KeyMath 3 DA content areas.
  • Focus Items. Provides a tool for identifying items that may require particular attention on the part of the practitioner. For example, an item to which an examinee responded incorrectly that falls below his or her functional range may indicate a specific gap in understanding of prerequisite skills and concepts.

Does the KeyMath 3 ASSIST software include Growth Scale Values (GSVs)?

Yes. The ASSIST Progress Monitoring Report includes a table of GSV scores, by area and total test, for each KeyMath 3 administration. GSV scores are plotted on a graph that includes the developmental growth curve of the normative population. In addition, a least-squares regression line is plotted, which quantifies the individual's rate of growth and can be compared with the rate of change in the normative population. Finally, this report provides a means of evaluating response to intervention by indicating whether the examinee's gain exceeds the level that can be attributed to measurement error.

Can I cut and paste text from the ASSIST Narrative Report into a Microsoft Word document?

Yes. Text and images can be copied directly from the ASSIST report viewer into Microsoft Word or other Microsoft Office applications (e.g., Excel, PowerPoint, etc.).

  • To copy text, users can select "Export" from the report viewer to export a document in Rich Text Format (RTF). The RTF document can be saved as is, or the user may elect to manually copy and paste parts of the document into another document.
  • To copy graphs or charts, users can select "Export" from the report viewer and then select the "Export to PDF" option. The PDF document can be saved as is, or the user may elect to manually copy and paste individual images into another document.

Do I have to enter in each item into the ASSIST software to get the reports, or can I just enter in the raw scores?

Both item entry and raw score entry options are available.

Can I track multiple students with ASSIST reports?

The KeyMath 3 ASSIST software application does not include a group reports option. However, the application allows users to export results, which can be analyzed with most statistical software applications.

 

KeyMath 3 Essential Resources

The old KeyMath Teach and Practice (TAP) includes hundreds of worksheets. It seems like there are fewer materials in the new KeyMath 3 Essential Resources program. Why is that?

The KeyMath 3 Essential Resources program, which replaces the previously published KeyMath Teach and Practice (TAP) product, actually contains more curriculum material—more than 2,700 pages of content—than does its predecessor. The table below shows the KeyMath 3 Essential Resources content breakdown.

KeyMath 3 Essential Resources Content Breakdown
   Level   

    Easels: cluster overviews, lessons and student displays

   Guided practice and independent practice sheets

 Readiness tests, posttests, and mastery test

   1   400   840   164
   2   400   785   144
During research, teachers expressed that they appreciated the convenience of accessing teaching material electronically via CD-ROM. As such, the KeyMath Essential Resource program includes a software application that provides easy-to-navigate content folders. The software tool is a necessary component of the program because, in print form, the materials would easily require three 3-inch binders.

 

Is the KeyMath 3 Essential Resources program only for instruction with one student or can I teach more than one student at a time?

The KeyMath 3 Essential Resources materials are designed for maximum flexibility and allow teachers to teach to multiple students at one time. The easel presentation of the student activity displays is designed for use with smaller groups of 1-5 students. When working with 6 or more students, teachers may elect to access the same material via the CD-ROM. Thus, teachers have the option to print the pages and use them as blackline masters (for use with projectors such as "Elmos") or as transparencies (for use with standard overhead projectors). Materials can also be added to Microsoft PowerPoint files and presented electronically with a computer and a compatible projector.

What is the difference between guided practice and independent practice?

Guided practice sheets are intended for use by the student during classroom instruction and under the supervision of the teacher. Most often, these sheets contain item content that is the same as or similar to the content included in the easel. Independent practice worksheets are intended for use by the student independent of the teacher. Students may use these during class time, in a study hall, or as homework.

What is the difference between readiness tests, posttests, and mastery tests?

Readiness tests are administered prior to the lesson being taught to determine whether the student has the prerequisite skills necessary to learn the applicable concept(s). Posttests are administered after all activities in the lesson have been taught to determine whether the student has grasped the concept(s). In cases where a student did not grasp the required concept(s), the teacher should re-teach the lesson as necessary. Mastery tests are used to determine whether a student has mastered the applicable concept(s).

Does the KeyMath 3 Essential Resources program include manipulatives?

Some of the program lessons require manipulatives that are commonly found in classrooms (e.g., rulers, cubes, etc). Manipulatives are not provided as part of the KeyMath 3 Essential Resources product.

I'm not buying the KeyMath 3 Diagnostic Assessment. Can I still use the KeyMath3 Essential Resources program?

Yes. Users who do not purchase the KeyMath 3 Diagnostic Assessment will not have a direct link to appropriate curriculum activities in the KeyMath 3 Essential Resources but can use the program nonetheless.

The Essential Resources software contains an easy-to-navigate library of materials, including practice and assessment materials. Users can navigate through the cluster and lesson content to determine which materials are appropriate for a particular student. Readiness tests are available to determine whether a student has the prerequisite skills required to learn the concept(s) in a particular concept cluster. The Essential Resources software also includes a preview function that allows users to view a page before printing it.

Is the old KeyMath Teach and Practice (TAP) compatible with the KeyMath 3 Diagnostic Assessment?

The KeyMath 3 Diagnostic Assessment contains new item content and a new subtest organization. In addition, the KeyMath TAP has been revamped into a new product called the KeyMath 3 Essential Resources.

The KeyMath 3 Diagnostic Assessment and the KeyMath 3 Essential Resources are designed to be compatible to the extent that the ASSIST software report contains narrative text that provides a direct link to the appropriate Essential Resources curriculum material. Customers should note that, when the two products are purchased as a package, they are very affordable.

Still, the KeyMath TAP is a good product with excellent content and is still very relevant in a remedial math environment. Customers who continue to use the TAP should feel confident that they are using a good product.

Can I use the Keymath 3 Essential Resources program with my current KeyMath Revised/NU?

Yes. The KeyMath3 Essential resources program can be used as a stand-alone curriculum product. However, users should be aware that the KeyMath 3 Revised/NU does not provide a direct link to the KeyMath 3 Essential Resources program.

The Essential Resources software contains an easily accessible library of materials, including practice and assessments materials. Users can navigate through the cluster and lesson content to determine which concept material to use with a particular student. Readiness tests are available to determine whether a student has the prerequisite skills necessary to learn the concept(s) in a particular concept cluster. The software includes a preview function that allows users to view a page before printing it.