Calculus is the branch of mathematics that studies motion. GeoGebra on the other hand is a software that allows a visual representation of mathematical objects.

Learning and teaching calculus with GeoGebra is becoming a growing recommendation. This post will reveal the reasons for that, as well as talk about the associated benefits and the most relevant areas of study.

## Why Study Calculus with GeoGebra?

Calculus is the branch of mathematics that students often struggle the most with. One reason is that it requires the students to imagine the moving graphs and functions which most fail to do accurately. This makes the course unclear to many students.

The integration of Information, Communication, and Technology (ICTs) in education is growing. In the field of mathematics, there are many soft wares that can be used for visually representing concepts and drawing diagrams. Among the many softwares is GeoGebra.

Since calculus is a heavily conceptual course, studying it with visual representation is a great way to develop a better understanding. This is why studying Calculus with GeoGebra is recommended by quite a lot of professionals.

## Calculus Concepts most relevant for GeoGebra

GeoGebra aids in understanding important calculus concepts including limits, continuity, functions, differentiation, and integration. The relevant material is available here.

GeoGebra allows the use of graphing calculators, applets, cellular automata, digital whiteboard, and data show. Moreover, it also allows users to construct and experiment with points, lines, vectors.

## Using GeoGebra in a Classroom

Instructors plan different activities for their students when working on GeoGebra. Some examples include analyzing the rates of change, working on the slope of tangent, understanding and calculating area or volume bounded by a curve or a line, studying continuity, limits of functions, and more.

One obstacle that a classroom faces is that not all students are familiar with how to use the software. Therefore, typically, an introductory session on how to use the tools, commands, and resources is planned.

## Benefits of using GeoGebra

There are numerous benefits when using GeoGebra for studying calculus.

GeoGebra creates a learning environment where student participation increases, thus improving their motivation. It promotes the students to be more curious and experiment more, along with offering them an opportunity to understand practical problems more closely, an area often complained to be lacking in regular classes.

For the instructors, it allows more effective delivery of concepts. Moreover, instructors also report that it saves time and effort involved in delivering lectures, speeding up the learning process.

There was a complete research carried out at the University Muhammadiyah Surakarta, Indonesia, and students’ feedback was then collected.

In the response, 68.25% of students rated studying Calculus with GeoGebra as enjoyable. This response was primarily based on the satisfaction derived from being able to imagine the object in three dimensions. A notable proportion of students also reported that GeoGebra made understanding the concepts easier, and was also easy to use. Thus, the user-friendliness results in students taking a deeper interest in the subject, and the learning outcome is also reported to be more effective in classes involving the use of this software.

## Using Applets for GeoGebra

An applet is a Java program. It runs in the Web browser, providing interactive features that cannot be provided alone by HTML.

There are different authors who create their applets and share them for free. These applets can be accessed through the official GeoGebra site. Among the most popular are the applets created by Marc Renault, supported by the Shippensburg University. His applets are available on his own site as well.

Applets aid in conducting interactive exercises, formulating MCQs, and demonstrating examples, ensuring that the students have well learned the relevant concepts.

## Conclusion:

The dynamic visualizations of GeoGebra make it ideal for teaching and understanding mathematical concepts, particularly when it comes to studying motion.

Despite the enormous benefits that this software provides, the use of GeoGebra is limited, primarily because the majority doesn’t know how to use it.

However, don’t keep yourself deprived of its benefits anymore!

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