The Methods of Developing Computational Thinking of Students While Studying the Course "Numerical Methods" Based on Blended Learning

Abstract

The work is devoted to the consideration of improving the quality of teaching students the discipline “Numerical methods” through the development of the cognitive component of computational thinking based on blended learning. The article presents a methodology for the formation of computational thinking of mathematics students, based on the visualization of algorithmic design schemes and the activation of the cognitive independence of students. The characteristic of computational thinking is given, the content and structure of computational thinking are shown. It is argued that a student with such a mind is able to manifest himself in his professional field in the best possible way. The results of the application of the technique are described. To determine the level of development of the cognitive component of computational thinking, a diagnostic model has been developed based on measuring the content, operational and motivational components. It is shown that the proposed method of developing computational thinking of students, taking into account the individual characteristics of students’ thinking, meaningfully based on the theoretical and practical aspects of studying the discipline, increases the effectiveness of learning the course “Numerical methods”. The materials of the article are of practical value for teachers of mathematical disciplines who use information and telecommunication technologies in their professional activities.

Formation of Computational Thinking Skills Using Computer Games in Teaching Mathematics

“…The findings on the didactic potential of digital gamification resources in relation to improving the quality of learning, forming computational thinking are confirmed by the results of Klunnikova (2019). A significant result of the research is the description of the basic ideas of the approach that expand the ideas of Paiva et all.…”

“…As Klunnikova (2019) notes, the term "computational thinking" is a borrowed one for domestic literature, science and practice. Computational thinking, according to Henner, involves mental activity in formulating a problem to make a computational decision (Khenner, 2016).…”

“…Analyzing approaches to developing computational thinking by means of digital technologies, we note three main directions in research: defining the essence of computational thinking as a cognitive thinking process (Kholodnaya & Gelfman, 2016); a hybrid of other ways of thinking (Klunnikova, 2019); the use of information processing tools for modeling processes studied in other disciplines (Borissova, Keremedchiev, & Tuparov, 2020). Borissova et al note that working with the program and its interface contributes to forming user communication skills.…”

“…According to Ilomäki and Ilomäki (2018), in the educational game space additional opportunities increase the motivation of the learning generation Z, promote cognitive activity, support professional self-determination, and develop systemic and critical thinking. Designing a gaming virtual world, developing algorithms for the behavior of characters and their activities, game strategies, writing code -all this fully corresponds to the essence of computational thinking (Klunnikova, 2019). Indeed, computational thinking uses logical and algorithmic approaches to formulating a problem, analyzing and solving it.…”

Development Of Students' Computational Thinking Using Cognitive Tools And Methods Of Teaching

“…Systematization of intuitive experience using concepts and terms of the subject area (stage of formation and development of conscious thinking). At the stage of intuitive learning, it is advisable to present the educational material in the form of mental schemes, the structure of which is described in detail in the article by Klunnikova (2019). For example, a mental diagram of the exact Gauss method for solving systems of linear algebraic equations is shown in Figure 1.…”