What assessment structures and strategies are most effective at improving mathematics learning?
Erik Gundersen is the superintendent of schools for the Pascack Valley Regional High School District, located in Bergen County, New Jersey. Erik earned a Bachelor of Arts degree in Physics Education from the University of Delaware, a Masters degree in Educational Technology from New Jersey City University, and an Educational Specialist Degree in Educational Leadership from Seton Hall University. He has spent his entire 22-year career in the Pascack Valley Regional High School District serving as a physics teacher, supervisor of science and technology education, director of curriculum, and is now completing his sixth year as superintendent. Erik continues his work and passion for physics as an author of several physics textbooks, including “The Handy Physics Answer Book,” and “Applied Physics.”
Mark Russo is the district supervisor of mathematics and computer science for the Pascack Valley Regional High School District in Montvale, NJ, and an adjunct professor at Montclair State University. He is interested in promoting equity in schools, supporting effective mathematics teaching and learning, and helping students experience the beauty and power of mathematics and statistics. He is currently exploring the development of algebraic reasoning in computer science and the utilization of quantitative reasoning through interdisciplinary connections between statistics and social studies (SASS).
Think beyond data, provide student-centered teaching and learning
By Heather C. Hill
I have two thoughts about this question. First, there is little evidence that teachers meeting to study student data, such as benchmark test scores, actually affects instruction or student learning. Of six recent rigorous studies (linked below), two showed mixed impacts on student outcomes (meaning reading scores improved, but not math scores, or vice versa) — and the rest of the studies did not show that this practice had any impact on student scores. There are two reasons this might be the case. Teachers assigned to the control groups already might have been meeting to discuss student data, meaning that all of the teachers had roughly the same opportunities to learn about student performance. Second, qualitative studies suggest that teachers actually have a difficult time adjusting what they do in the classroom based on student test scores.
Still, there are some promising classroom-based assessment programs. For instance, a formative assessment program designed at Florida State University provides K-12 teachers with complex student mathematics tasks and rubrics. An experiment at the primary grades suggests that students’ mathematics performance improve after teachers use these tasks to assess mathematical competency. Another program, Cognitively Guided Instruction, educated teachers about early grade students’ developmental trajectories in mathematics and provided time for teachers to work out strategies to assess student knowledge. This program has also shown positive results in repeated randomized trials.
But it would not be right to simply say that “formative assessment works” based on these two studies. It was not only assessment that changed in these classrooms, but also the nature of mathematical tasks; students were working on more open-ended, cognitively complex problems, and teachers were providing them with opportunities to really think those problems through. It’s likely that the package of these pedagogical techniques — new tasks, new teaching methods, formative assessment strategies — drove the programs’ success in improving student achievement. And beyond these two programs, rigorous evidence on formative assessment is difficult to find.
I’m not optimistic about teachers studying formal student data, and, if I were a principal, I’d put my eggs in another basket. For instance, I’d probably think about coaching teachers to be more aware of students’ in-classroom work product and cues. In classroom observations, I’ve seen many excellent teachers read kids’ faces and listen to their talk, then adjust instruction accordingly. And there’s such huge opportunity costs associated with the time teachers put into studying student data, and the time kids spend taking benchmark assessments and the like. While these practices MAY work, I’d recommend going with programs that we know DO work.
This answer was developed in partnership with Usable Knowledge at the Harvard Graduate School of Education.
Resources for Further Learning
A Multistate District-Level Cluster Randomized Trial of the Impact of Data-Driven Reform on Reading and Mathematics Achievement
This study found a data-driven reform initiative caused statistically significant districtwide improvements in student mathematics achievement, but not reading achievement.
A Second Follow-Up Year for Measuring How Benchmark Assessments Affect Student Achievement
This follow-up study found no significant differences between schools using quarterly benchmark exams and those not doing so after two years.
Achievement Network’s Investing in Innovation Expansion: Impacts on Educator Practice and Student Achievement
This study found no overall impact on student achievement in math or reading.
The Impact of Indiana’s System of Interim Assessments on Mathematics and Reading Achievement
This study found statistically significant results in grades three to eight but not in kindergarten to second grade.
The Impact of the Measures of Academic Progress (MAP) Program on Student Reading Achievement
This study showed that the MAP program, one of the most widely used systems focused on benchmark assessments and training and differentiated instruction, had no impact on student reading.
Using Student Data to Improve Teaching and Learning: Findings from an Evaluation of the Formative Assessments of Student Thinking in Reading (FAST-R) in Boston Elementary Schools,
This study found the FAST-R had a generally positive but not statistically significant impact on reading scores.
About the Researcher
Heather C. Hill
Heather C. Hill is the Jerome T. Murphy Professor of Education at the Harvard Graduate School of Education. She focuses on teacher quality in mathematics, developing ways of measuring and improving teachers’ mathematical knowledge and the quality of mathematical instruction. She also studies the effects of policies aimed at improving teaching. Read full bio