KeyMath-3 Diagnostic Assessment (2024)

Overview

Publication date:
2007
Age range:
4:6-21:11; Grades K-12
Qualification level:
B

Qualification Level

Level A

This approval level enables you to buy our assessments that require no professional degree, accreditation, organization membership, or license/certificate.

Level B

This approval level enables you to buy our assessments requiring A or B qualification levels.

Level C

This approval level enables you to buy all our assessments.

Completion time:
30 to 90 minutes
Administration:
Paper-and-pencil
Scoring options:
Manual Scoring

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

FAQs

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

KeyMath 3 Diagnostic Assessment

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.

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.

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 OperationsNumeration
AlgebraAlgebra
GeometryGeometry
MeasurementMeasurement
Data Analysis and ProbabilityData 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 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: clusteroverviews, lessons andstudent displays

Guided practice and independent practice sheets

Readiness tests, posttests, and mastery test

1400840164
2400785144
During research, teachers expressed that they appreciated the convenience of accessing teaching material electronically. 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 software. 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.

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.

KeyMath-3 Diagnostic Assessment (2024)

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