Problem-solving Measures (PSMs)
Problem-solving measures for mathematical assessment of students
Education researchers at Drexel University and Bowling Green State University have developed a series of validated problem-solving classroom-based tests for grades six, seven, and eight. These measures reflect the complexity of assessing mathematical problem solving within the context of grade-level content standards and include problems from low to high difficulty in each of the main content areas for each grade level in math. Teachers are then able to use the results from these assessments to progress student learning and adapt lesson plans to better address gaps from classroom instruction. The problem-solving measures are advantageous because they provide a way to align scores both within a certain grade level as well as to assess year-to-year student growth.
Applications
- Examine changes in students’ problem-solving performance throughout calendar year
- Examine students’ growth across years by administering successive tests in problem-solving series
Advantages
- Give teachers data about what and how students are learning from regular mathematics instruction
- Address depth and focus of grade-level instructional standards, including Common Core State Standards for Mathematics
- Vertically link tests across grades
- Valid, reliable assessments useful across spectrum of student learners
Intellectual Property and Development Status
Copyright filed
References
Bostic J.D. et al. PSM7 and PSM8: validating two problem-solving measures. Journal of Applied Measurement, 2017, 18(2), p. 151-162.
Bostic J.D. and Sondergeld T.A. Validating and vertically equating problem-solving measures: classroom assessment in mathematics, 2018, p. 139-155.
Bostic J.D. and Sondergeld T.A. Validating and vertically equating problem-solving measures. 13th International Congress on Mathematical Education, 2016.
Bostic J.D. and Sondergeld T.A. Development of vertically equated problem-solving measures. Proceedings of the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 2015, p. 395-398.
Nielsen, M. & Bostic, J. Informing programmatic-level conversations on mathematics preservice teachers’ problem-solving performance and experiences. Mathematics Teacher Education and Development, 2019.