A teaching optimization method for advanced mathematics surface course

Abstract

The invention, which belongs to the technical field of curved surface teaching of the higher mathematics, in particular relates to a teaching optimization method for the higher mathematics surface course. A curved surface demonstration teaching aid is employed by the method and includes two support members. The support members include bases, standing columns, fixed rods, fixed posts, support ringsand support plates; the standing columns are fixedly installed at the tops of the bases; the upper ends of the standing columns of the two support members are connected by the fixed rods; one fixed post is fixedly connected to one side of the upper end of each standing column; the support rings are arranged at the outer rings of the fixed posts; the support plates are arranged at the bottoms of the support rings; the support rings and the fixed posts are arranged concentrically; annular grooves are formed between the support rings and the fixed posts; and expanding modules are arranged in thetwo opposite annular grooves. According to the invention, support frames are driven by driving discs to be expanded one by one along the annular grooves and rubber skins outside the expanded supportracks extend to form an elliptical shape, so that the formation process of the ellipsoidal surface is demonstrated. Because of the visual demonstration by the teaching aid, students are impressed deeply, so that the learning interest of the student is increased.

Description

technical field [0001] The invention belongs to the technical field of higher mathematics curved surface teaching, and specifically relates to a teaching optimization method for the higher mathematics curved surface course. Background technique [0002] A curved surface is a moving line, under given conditions, the trajectory of continuous motion in space. There are nine kinds of quadratic surfaces, and their standard equations can be obtained by properly selecting the space rectangular coordinate system. Among them, there are no special teaching aids for ellipsoids and elliptic paraboloids in the classroom, and this part of knowledge is very abstract, so give this part of knowledge The explanation brought inconvenience, caused students to not understand thoroughly, and affected the improvement of teaching quality. [0003] There have also been some technical solutions for curved surface demonstration teaching aids in the prior art. For example, a Chinese patent with applic...

AI Technical Summary

Problems solved by technology

There are nine kinds of quadratic surfaces, and their standard equations can be obtained by properly selecting the space rectangular coordinate system. Among them, there are no special teaching aids for ellipsoids and elliptic paraboloids in the classroom, and this part of knowledge is very abstract, so give this part of knowledge The explanation brought inconvenience, caused students to not understand thoroughly, and affected the improvement of teaching quality.

[0004] This technical scheme can make students understand how the ellipsoid is obtained, but this scheme cannot demonstrate the mechanism of the formation of the ellipsoid as a body of revolution, and cannot enable students to fully understand the relationship between the key elements that affect the composition of the ellipsoid and the shape of the formed ellipsoid At the same time, without allowing students to participate in it, students' enthusiasm cannot be fully mobilized, thus restricting the improvement of teaching quality

Images