Research on Teaching Mathematical Theorem Based on DELC Deep Learning Route-Taking “Pythagorean Theorem” as an Example

Mathematical theorems are an important sufficient condition for effective problem-solving. This is because it not only helps learners build a systematic knowledge network but also significantly improves and develops logical thinking skills. The Pythagorean theorem is fundamental in junior high school mathematics, playing a crucial role in solving geometric problems. The new standard of mathematics advocates “deep learning”, and the study of the deep learning route and conceptual teaching, more, but less, combined with theorem teaching. Research on teaching math theorems via DELC deep learning routes is explored, and seven strategies are proposed: alignment with standards and curriculum, pre-assessment, fostering a positive learning culture, preparing and activating prior knowledge, acquiring new knowledge, processing knowledge in depth, and evaluating student learning. These strategies are derived from an in-depth exploration of deep learning routes, with corresponding teaching approaches developed. SOLO classification theory is utilized to assess students' knowledge application and predict their learning of math theorems (e.g., the collinear theorem), while criteria for evaluating deep learning are also established. Finally, based on the above deep learning route, a specific teaching design for the collinear theorem is proposed, which is expected to provide corresponding support for the theorem teaching of first-line junior high school teachers.