SMART lecture as modular visualization of mathematical information in higher education

Abstract

The article reveals the problem of teaching higher mathematics to students studying in non-mathematical areas of training, based on the process of modular visualization of mathematical information. The relevance of the study is confirmed by foreign and domestic psychological and pedagogical studies on the development of visual thinking, the foundation of which is the discovery of the functional asymmetry of the cerebral hemispheres. The purpose of the article is to identify the effectiveness of using SMART-lectures in teaching higher mathematics for the process of developing visual thinking, which helps to increase the effectiveness of teaching. The study is carried out by integrating interactive computer technology and visual education in higher mathematics. Solving research problems is aimed at using interactive computer technologies, in particular, at using interactive whiteboards in teaching higher mathematics. The concepts of modular visualization, visual training are revealed, the main means of visual training, interactive computer technologies are given and explained, referring to the analysis of various approaches to their interpretations. For the first time, a SMART lecture is described and justified as one of the interactive forms of organizing visual education in higher mathematics, which contains all the components of visual education identified by the author. The effectiveness of SMART lectures for the process of developing visual thinking in teaching higher mathematics, which contributes to the effectiveness of learning, has been experimentally substantiated. The necessity of visual means of interactive computer technology as an integral part of modern education is emphasized. It is concluded that the implementation of such interactive forms of organizing visual education in higher mathematics as a SMART lecture promotes the development of visual education in teaching higher mathematics, activates students in the educational process, thereby increasing the effectiveness of training.