Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics

Abstract

GeoGebra is an interactive geometry, algebra, statistics, and calculus application designed for teaching and learning math, science, and engineering. Its dynamic interface allows its users to accurately and interactively visualize their work, models, and results. GeoGebra employs the synthesis of three key features: modeling, visualization, and programming (MVP). Many studies have shown the positive effects of GeoGebra on the efficiency and effectiveness of learning and teaching topics related to science, technology, engineering, and mathematics. In this study, we discuss how GeoGebra provides an environment for learning that is very interactive and collaborative between the learner and the instructor. We also show how integrating GeoGebra into the learning scheme can help improve the skills and knowledge of school and university students in numerous advanced mathematical courses, such as calculus, mathematical statistics, linear algebra, linear programming, computer-aided design, computer-aided geometric design, analytic and projective geometry, and graphical representation. Therefore, this study shows the effectiveness of GeoGebra and its MVP key features in science and engineering, particularly in topics related to mathematics. Each key feature of GeoGebra is thoroughly analyzed, and further analyses, along with how GeoGebra can be helpful in different topics, are discussed.

How Do Pre-/In-Service Mathematics Teachers Reason for or against the Use of Digital Technology in Teaching?

“…The coding of the participants' responses shows that all the participants unanimously decided on the use of dT in the Exploring phase. The arguments for the use of dT in this phase are in line with the previously cited empirical and theoretical studies in Section 2.2, namely [41,44,46] as well as [56,57]. The level of argumentation varied among participants, as can be seen in Table 1.…”

“…These factors are also highlighted by McCulloch et al [12]. The aspect of increasing a learner's motivation through dT is highlighted in the studies specifically related to desmos [46], GeoGebra [44], graphic calculators [40], and various dT in [36,37].…”

“…This shows that dT in the form of eBooks can provide value in the teaching phases of Connecting, Exploring, and Practicing. Ziatdinov and Valles [44] highlight DGS's positive effect on learning outcomes at secondary and university levels in mathematics and STEM education, as well as the ability to use DGS for exploration in modelling tasks. Similar to in other studies [45,46] the motivational effect of DGS dynamic worksheets is cited.…”

[Retracted] Exploration of Happy Learning for College Students with the Integration of Thinking Visualization and Action Learning in the Internet + Environment

“…Therefore, the school is essentially to teach students mental health knowledge through the university system, help them establish the main channel and main position of perfect and good personality, train students' mind and creativity, and guide students to develop good interpersonal relations by investigating the mental health problems of different age groups, as shown in Figure 2 . To further explore a more efficient teaching mode is the main task of happy learning for college students [ 2 ]. As for the research on curriculum teaching methods, some scholars advocate building a happy learning classroom education for college students through activity-based teaching methods, cooperative classroom methods, workshop teaching models, etc., while others advocate using mental tests, character dressing, group discussion, and scene simulation.…”

The Effect of GeoGebra Software in Calculus for Mathematics Teacher Students

“…Particular capabilities are provided, including those for locating important points in functions and for calculating derivatives and integrals of a given function with a single line of input. This makes it a viable alternative for many kinds of mathematical object displays (Ziatdinov & Valles Jr, 2022). Mathematical concepts are much easier to grasp and make sense of when represented visually (Dahal, Pant, Shrestha, & Manandhar, 2022).…”