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  • Progress Monitoring: Mathematics
Challenge
Initial Thoughts
Perspectives & Resources

How can teachers use assessment to guide instruction?

  • 1: Formative Assessment
  • 2: Progress Monitoring

How can teachers determine whether students are making appropriate progress?

  • 3: Select a Measure
  • 4: Create a Graph
  • 5: Create a Goal Line
  • 6: Administer, Score, and Graph
  • 7: Make Data-Based Instructional Decisions
  • 8: Communicate Progress

Resources

  • 9: References, Additional Resources, and Credits
Wrap Up
Assessment
Provide Feedback

How can teachers determine whether students are making appropriate progress?

Page 4: Create a Graph

CBM graph showing data for problems correct across 15 weeks of instructionHaving selected a measure, the educator should next prepare to collect and document student data. One effective way to do this is to use a graph, an integral part of progress monitoring. The vertical axis represents student performance on the GOM measure (e.g., number of problems correct), and the range of scores will vary for each type of measure. The horizontal axis represents time (e.g., days, weeks). Every time a GOM test is administered, its score is recorded on the graph. A line can be drawn to connect each data point to easily visualize a student’s development over time.

Unlike a list of scores, a graph offers educators a simple visual representation that can help them make quick instructional decisions. Some of the additional benefits of graphing for both educators and students are outlined in the table below.

Benefits for Educators Benefits for Students
  • Allows the educator to visually monitor a student’s progress
  • Offers the educator a means to evaluate the effectiveness of the instructional program
  • Provides the educator a visual aid with which to effectively communicate with students, parents, and other professionals
  • Offers students a visual representation of their progress
  • Allows students to see the relationship between effort and performance (e.g., that hard work pays off)
  • Allows students to set appropriate goals for themselves
  • Motivates students to either maintain their efforts or work harder

For Your Information

The National Center on Intensive Intervention (NCII) provides an Excel file that graphs student data entered by the educator. To view the tool, click the file below.

Student Progress Monitoring Tool for Data Collection and Graphing

National Center on Intensive Intervention logo

As illustrated above, a graph provides an easy-to-understand visual representation of a student’s performance. Educators can obtain blank GOM graphs in several ways.

  • Graphing software or capabilities are often included with commercially available GOM measures.
  • A spreadsheet program like Numbers or Excel can be used to store and graph students’ data. For a free ready-made Excel file, see the FYI box to the right.
  • Educator-made paper graphs are easy to create. Students can participate in this process and learn how to graph their own scores and to monitor their own performance.

Lynn Fuchs

In the following interview, Lynn Fuchs describes ways in which students can use CBM graphs (time: 1:01).

/wp-content/uploads/module_media/pmm_media/audio/pmm_p04_lf.mp3

View Transcript

Lynn Fuchs, PhD
Dunn Family Chair in Psychoeducational Assessment
Department of Special Education
Vanderbilt University

Transcript: Lynn Fuchs, PhD

Students like having their progress tracked with CBM. They find their graphs motivating, so that it helps them work harder. They find that their graphs provide them specific feedback that helps them become more purposeful learners. And students like to see their scores going up, which is not to say that CBM scores go up every week. So what teachers need to do is to teach their students about what their graphs mean and what appropriate expectations are and how to use the graph information so that students can set goals for themselves that are appropriate and realistic but also ambitious. And we find that teachers who take the time to explain graphs to students in ways that students can really use the CBM feedback to improve their own performance, that when that happens, CBM graphs can be very instructive to children and motivating.

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