Problem-solving before Instruction: Linear Algebra for Mechanical Engineers

This lecture by the instructor presents the implementation of problem-solving before instruction (PS-I) designs in a linear algebra course for mechanical engineers at ETH Zürich. The session discusses the benefits of including preparatory exercises for core linear algebra concepts, based on productive failure principles, to enhance students' learning outcomes. The lecture covers the design and results of the PS-I approach, emphasizing the importance of challenging and activating students' prior knowledge to improve conceptual understanding and transfer in mathematics learning. The findings reveal positive impacts on exam performance and student engagement, highlighting the effectiveness of this innovative teaching method.