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Advanced mathematics is
an important foundational course for science and
engineering students, with strong abstraction, logic,
and application. However, the existing teaching of
higher mathematics shows a characteristic of emphasizing
knowledge teaching and neglecting ability and literacy
teaching. Facing the problems in higher mathematics
teaching mentioned above, this article first proposes a
six-step teaching model based on the PBL teaching
method. This is a teaching model that follows the six
steps of "problem introduction, knowledge construction,
independent exploration, group demonstration, summary
and improvement, and practical expansion". Secondly, the
six-step teaching model is applied to the teaching
practice of higher mathematics. Taking the teaching of
Lagrange multiplier method as an example, the teaching
process of the six-step teaching model is elaborated.
Through the classroom design process of raising
questions, communicating and discussing, and solving
problems, students' learning initiative is cultivated
and their thinking ability is exercised. Teaching
practice has shown that the six-step teaching method is
very helpful for cultivating students' abilities and
training innovative thinking. |
