A Mathematical Problem-Solving Pipeline (MPSP) to strengthen scaffolding in higher education STEM courses

TL;DR

The paper introduces the Mathematical Problem-Solving Pipeline (MPSP), a new educational tool designed to enhance coherence, problem-solving skills, and communication in higher education STEM mathematics courses.

Contribution

It presents the MPSP as a versatile framework for teaching mathematics that promotes authentic reasoning, skill transfer, and integration across courses and curricula.

Findings

MPSP improves problem-solving skills in students.

MPSP enhances coherence across STEM courses.

MPSP supports skill transfer beyond individual courses.

Abstract

We outline a new tool that can promote coherence within and across higher education mathematics courses by focusing on problem-solving: the Mathematical Problem-Solving Pipeline or MPSP. The MPSP can be used for teaching mathematics and mathematical reasoning authentically. It can be used across courses to develop problem solving skills that can be generalized beyond the course and topic. It has a specific focus on documentation and communication that lets students leverage skills they grow, and use, in other courses or fields. The MPSP can be used in singleton (service) courses, throughout a curriculum, and/or within a capstone experience.