Teaching Mechanism and Machine Theory with GeoGebra

Iriarte, Xabier; Aginaga, Jokin; Ros, Javier

doi:10.1007/978-3-319-01836-2_23

Cited by 14 publications

(9 citation statements)

References 3 publications

(1 reference statement)

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“…However, as the concepts of movement are explained in such books by static figures and arrows, these concepts can be difficult for students to grasp, especially when considering the fact that each individual has a different learning style. Hence, to bridge this gap, modern multimedia methods, such as videos, simulations, and other visual aids, are used, thus creating an interactive and encouraging learning environment [19]. One fundamental in MMT is dynamic geometry environments (DGEs), which allow the establishment of geometric structures.…”

Section: Modeling In Geogebramentioning

confidence: 99%

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

Ziatdinov

Valles

2022

Mathematics

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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.

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Section: Modeling In Geogebramentioning

confidence: 99%

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

Ziatdinov

Valles

2022

Mathematics

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“…It is free of charge and can be used by pupils for both school and extracurricular learning (Kaenders & Schmidt, 2014;Ruppert & Wörler, 2013). According to Iriarte, Aginaga, & Ros (2014), another advantage of GeoGebra is that it operates on all standard system software and can be operated via web browsers as well. This should enable pupils to use GeoGebra in pre-class and in-class phases as well as in individual and group learning spaces and thus facilitate working actively on their knowledge development.…”

Section: Geogebramentioning

confidence: 99%

Enhancing Flipped Mathematics Education by Utilising GeoGebra

Weinhandl

Lavicza

Hohenwarter

et al. 2020

IJEMST

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Combining new educational approaches and educational technologies can make mathematics education more adaptable to pupils’ needs in the 21st century. Our explorative educational study aimed to identify how learning settings and learning environments should be designed to facilitate synthesising flipped approaches to education and using GeoGebra. To discover how to combine flipped approaches and GeoGebra in mathematics education, we conducted a nine-month educational study at a Viennese secondary school. In our study, we focused on pupils’ needs, as pupils are key to combining successfully new educational approaches and using technologies. Analysing our qualitative research data following design-based and grounded theory approaches indicates that the categories (a) clear task definition and task design, (b) feedback, (c) context and benefits, and (d) single-source learning environments are important for pupils when utilising GeoGebra for enhancing flipped education.

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“…This understanding supports the urgency of integrating GeoGebra in geometry classrooms. The advantage of GeoGebra is that it operates on all standard system software and can be operated via a web browser as well ( Iriarte et al., 2014 ).…”

Section: Introductionmentioning

confidence: 99%

A meta-analysis of Geogebra software decade of assisted mathematics learning: what to learn and where to go?

Juandi

Kusumah

Tamur³

et al. 2021

Heliyon

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Today, hundreds of studies on mathematics learning have been found in various literature, supported by the use of GeoGebra software. This meta-analysis aims to determine the overall effect of using GeoGebra software and the extent to which study characteristics moderate the study effect sizes to consider the implications later. This study analyzed 36 effect sizes from 29 primary studies identified from ERIC documents, Sage Publishing, Google Scholar, and repositories from 2010 to 2020, and a total of 2111 students. In order to support calculation accuracy, a Comprehensive Meta-analysis (CMA) software was used. The effect size is determined using the Hedges equation, with an acceptable confidence level of 95%. It is known that the overall effect size of using GeoGebra software on the mathematical abilities of students is 0.96 based on the estimation of the random-effect model, and the standard error is 0.08. These findings indicate that, on average, students exposed to GeoGebra-based learning outperformed math abilities, which was initially equivalent to 82% of students in traditional classrooms. This study considers the five characteristics of the study. It showed that the GeoGebra software used was more effective in sample conditions less than or equal to 30. Providing classrooms with sufficient numbers of computers allowed students to use them individually, which was necessary to achieve a higher level of effectiveness. GeoGebra software is more effective when the treatment duration is set to less than or equal to four weeks. These findings help educators consider the characteristics of studies that moderate effect sizes using the GeoGebra software in the future.

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Teaching Mechanism and Machine Theory with GeoGebra

Cited by 14 publications

References 3 publications

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

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

Enhancing Flipped Mathematics Education by Utilising GeoGebra

A meta-analysis of Geogebra software decade of assisted mathematics learning: what to learn and where to go?

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