RiGeoCa effectively demystifies graph theory by grounding abstract concepts in interactive visualization and AI-driven feedback. It represents a necessary shift from passive learning to a more intuitive, tool-based mastery of discrete mathematics.
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RiGeoCa: Innovation of Graph Theory
Added:Hi, welcome to our website called "Video Card". Networks in graph theory is newly introduced topic in mathematics curriculum in Malaysia. Hence, we created an interactive learning website using Articulate Rise 360, Canva, and GeoGebra to address several challenges in teaching this topic, such as students specifically receive information in classroom, which there is a lack of interactive visual visualization, and they have limited opportunities to engage in student-centered and inquiry-based learning.
Thus, to overcome these issues, we created an interactive learning hub that integrates notes, visual simulations, exploration, and real-life applications in one platform.
Through engaging visualization and hands-on activities, students can actively explore concepts, construct their own understanding, and develop greater interest in learning this topic.
On this homepage, students can click the start course button to begin learning through three interactive learning or lessons. They can monitor their progress using the built-in progress tracker, which after students complete all lessons, the percentage will become 100% completed. And they also can quickly find specific words through this search function button.
A key feature of this innovation is the AI tutor, which provides instant explanations to students' questions.
This encourages self-directed learning, active engagement, and a deeper understanding of graph theory concepts.
Next, we continue to the next section.
>> Interactive slides are also provided on this website. Students can view their notes here or click on this link to view slides on Canva. After viewing the notes, students can answer the assessment given, and they can check their answer. Next, this website features flashcards, so students can get better understanding in the key terms in graph theory, and there is a visual representation of real world networks.
Again, another tool assessment here for students to get better understanding in graph theory. Lastly, we simply introduce three types of graph featured in this topic.
That's all for the lesson one. Student can move to the next lesson.
>> In this lesson, students are going to learn on how to construct graph using GeoGebra. In the first one, they will be given a guideline to construct a simple graph.
The GeoGebra allows students to construct vertices by ticking the boxes, and then they can see live changes of the number of degrees for each vertices, total number of edges, and degrees of the graph. They can also change the position of the vertex depending on their imagination.
>> second one, they will also be given a guideline to construct graph with loops and multiple edges. The GeoGebra allows them to explore the graph with loops and multiple edges the same way they did back in the simple graph GeoGebra.
If they are unable to do the graph in real GeoGebra, they can just press the link provided that will take them to the official GeoGebra website. There's also some notes provided for them in case they forgot the definitions.
>> To complete the remaining 33% of the lesson, click the lesson three button located at the bottom right corner of the website. Once clicked, you will be directed to the page titled real life application in the graph theory.
On this page, users are encouraged to read the guidelines carefully to understand the learning activities and objective of the lesson.
Next, explore the interactive GeoGebra applet provided below. If the display appear too small, simply click the GeoGebra link to open it directly in the GeoGebra applications for a better learning experience.
After reviewing the instruction, click the point to tools to create nodes and segment tool to create edges in the graph.
Then you can back to the website and congratulations, you have successfully the lesson and achieve 100% progress.
Great job. We hope this interactive learning experience helps you understand graph theory in a more engaging and meaningful way.
>> As product validation, our innovation was evaluated by five experts in mathematics and technology achieving a highly satisfactory rating with several suggestions for improvement.
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