There is a need to teach the pivotal skill of mathematical problem solving to students with severe disabilities, moving beyond basic skills like computation to higher level thinking skills. Problem solving is emphasized as a Standard for Mathematical Practice in the Common Core State Standards across grade levels. This article describes a conceptual model for teaching mathematical problem solving to students with severe disabilities based on research from a multiyear project. The model proposed incorporates schema-based instruction combined with evidence-based practices for teaching academics to this population, and includes technology supports and self-monitoring. The purpose is to teach students to recognize underlying problem structures in word problems for better generalizability to real-world situations. This article outlines the existing evidence for teaching problem solving to students with disabilities, the conceptual model for teaching mathematical problem solving to students with severe disabilities, and the implications of the model for practitioners and future researchers.