Recent Developments in Mathematics Progr

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Recent Developments in Mathematics Progress Monitoring : 

Anne Foegen, Ph.D. Iowa State University Pamela M. Stecker, Ph.D. Clemson University Recent Developments in Mathematics Progress Monitoring

Introductions and Overview : 

Introductions and Overview Anne Foegen Pam Stecker Session Overview Formative assessment and mathematics progress monitoring Brief summary of traditional tools Recent developments: Measures Recent developments: Research A new resource for mathematics progress monitoring

Formative Assessment and Progress Monitoring: Basic Concepts : 

Formative Assessment and Progress Monitoring: Basic Concepts

Formative Assessment : 

Formative Assessment Formative assessment involves using feedback from learning activities to adapt teaching to better meet students’ needs Formative assessment includes both formal and informal tools and strategies Progress monitoring is one type of formative assessment

General Definition of Progress Monitoring : 

General Definition of Progress Monitoring Collecting and evaluating data to make decisions about the adequacy of student progress toward a goal Evaluating student rate of change (slope) as compared to the slope of anticipated progress Informing teacher planning for instruction

Characteristics of Progress Monitoring Measures : 

Characteristics of Progress Monitoring Measures Technically sound measures Multiple forms of the same measure Assessment systems that are sensitive to student growth Standardized administration procedures Frequent measurement (occurs at least monthly)

Display of Progress Monitoring Data : 

Display of Progress Monitoring Data

Brief Review of Traditional Tools : 

Brief Review of Traditional Tools

Monitoring Basic Skills Progress: Basic Math : 

Monitoring Basic Skills Progress: Basic Math Computation Concepts and Applications See http://www.proedinc.com for Fuchs, Hamlett, & Fuchs blackline masters and manual

Monitoring Basic Skills Progress: Computation : 

Monitoring Basic Skills Progress: Computation Mixed set of problems across four operations Developed for grades 1-6 30 alternate forms per grade level Timed for 2-6 minutes, depending on grade level Scored as number of digits correct in the answers

Slide 11: 

Adapted from NCSPM Random placement of problem types on page Random numerals within problems Measure taken from Monitoring Basic Skills Progress: Basic Math Computation (2nd ed.). (1998).

Monitoring Basic Skills Progress: Concepts and Applications : 

Monitoring Basic Skills Progress: Concepts and Applications Mixed problems (e.g., word problems, names of numbers/vocabulary, charts/graphs, measurement) Developed for grades 2-6 30 alternate forms per grade level Timed for 6-8minutes, depending on grade level Scored as number of answer blanks completed correctly

Slide 13: 

Adapted from NCSPM One page of a three-page measure for mathematics concepts and applications (total of 24 problems) Measure taken from Monitoring Basic Skills Progress: Basic Math Concepts and Applications. (1999).

AIMSweb Mathematics Measures : 

AIMSweb Mathematics Measures Basic Facts: Addition, Subtraction, Add./Sub. Mix, Multiplication, Division, Mult./Div. Mix, All Mix Computation: mixed operations for grades 1-8 Tests of Early Numeracy See http://www.aimsweb.com for sample measures and ordering information

Slide 15: 

AIMSweb Sample page from third-grade measure of mixed computational skills

Slide 16: 

AIMSweb Sample page from measure of mixed basic facts

Resources for Evaluating Technical Features of PM Tools : 

Resources for Evaluating Technical Features of PM Tools National Center on Student Progress Monitoring: http://www.studentprogress.org Also houses numerous training materials for progress monitoring procedures National Center on Response to Intervention: http://www.rti4success.org

Questions? : 

Questions?

Recent Developments: Measures : 

Recent Developments: Measures

Yearly Progress ProTM : 

Yearly Progress ProTM Mixed computation and problem solving Developed for Grades 1-8 Web-based with multiple, alternate forms per grade level Timed for 15 minutes with 30 grade-level problems Multiple choice with some items in free- response format Answers scored as correct or incorrect

Yearly Progress ProTM : 

Yearly Progress ProTM Skills feedback for progress monitoring In addition to progress monitoring, teachers may select specific skills for custom-made practice tests Teachers may select skills for instructional support by assigning corresponding tutorials Examples demonstrating skill Practice items with selection of response given as correct or incorrect Practice quiz (independent practice) on skill

Slide 23: 

Yearly Progress Pro: Sample screen taken from a tutorial exercise but also illustrates how items are presented (one by one) on progress monitoring measure See http://www.ctb.com

Slide 24: 

Shows specific skills tested for algebra cluster at Grade 6 Green circle indicates mastery Yellow circle indicates partial mastery Red circle indicates skill is not mastered YPP: Skills Feedback Across Class See http://www.ctb.com

Measures for Middle School : 

Measures for Middle School Basic Facts Estimation Complex Quantity Discrimination Missing Number

Measures for Beginning Algebra : 

Measures for Beginning Algebra Basic Skills Algebra Foundations Translations Content Analysis

Questions? : 

Questions?

Recent Developments: Research : 

Recent Developments: Research

Recent Research: A Caveat : 

Recent Research: A Caveat Our goal is to highlight some recent findings related to these newer measures Time does not permit a comprehensive review or detailed reporting of data analysis “Read more about it” section at the end of the presentation

YPPTM Research Findings: Technical Features : 

YPPTM Research Findings: Technical Features Reliabilities are high (internal consistency and alternate form) Correlations with other high-stakes mathematics measures are moderate to high with higher correlations typically observed in elementary grade levels Also examining performance of students with disabilities

Middle School Research Findings : 

Middle School Research Findings Different measures may be needed for screening and progress monitoring More comprehensive measures (reflecting a broad representation of the annual curriculum) predict later performance on high-stakes tests more accurately, but are often less sensitive to changes in student performance Strongest correlations with high-stakes test scores obtained with district-developed screening tools, grade 6 concepts & applications

Algebra Research Findings : 

Algebra Research Findings Alignment with instructional curriculum is important to obtaining the sensitive measure of student growth Examining the performance of students with disabilities

A New Resource for Mathematics Progress Monitoring : 

A New Resource for Mathematics Progress Monitoring Center on Instruction Introduction to Progress Monitoring in Mathematics PowerPoint slides Presenter’s manual Designed to support initial professional development for mathematics progress monitoring

Read More About Mathematics Progress Monitoring : 

Read More About Mathematics Progress Monitoring The Presenter’s Manual provides: additional background information on progress monitoring, a general description of progress monitoring in mathematics, and a bibliography of suggested readings.

Questions? : 

Questions?

Thank You! : 

Thank You!