Implementing a four-step lesson structure to teach problem solving

Publication date

2026

Authors

Lit, Sabine
Kool, Marjolein
Drijvers, PaulISNI 0000000369715867

Editors

Mosvold, R.
Fauskanger, J.
Ferretti, F.
Vondrová , N.

Advisors

Supervisors

DOI

Document Type

Part of book
Open Access logo

License

cc_by_nc

Abstract

Problem solving is a key goal in mathematics education. Yet, teaching it remains challenging. This study investigates the potential of a four-step lesson structure to support pre-service teachers (PSTs) in teaching mathematical problem solving in primary education. Grounded in the frameworks of Pólya, Takahashi, and Stein, a four-step lesson structure was incorporated in a second-year course of a bachelor's teacher education program. Twenty-seven PSTs implemented this structure in Grades 4-6 and reported on it through lesson reports and video recordings. Findings showed success in the first three steps: problem exploration, monitoring students’ work and whole class discussion. However, the fourth step – making mathematical connections and looking back – was more difficult. The four-phase structure thus shows promise but highlights areas needing further attention in teacher education.

Keywords

problem solving, teacher education, teaching practice

Citation

Lit, S, Kool, M & Drijvers, P 2026, Implementing a four-step lesson structure to teach problem solving. in R Mosvold, J Fauskanger, F Ferretti & N Vondrová (eds), Proceedings of the Nineteenth ERME Topic Conference : Connecting the Learning of Mathematics Teaching to Practice . Charles University, pp. 66-73. < https://hal.science/hal-05463964 >