W.J. Hsin1, A. Mojica Mendoza1, G. Ayasse1, A. Sabree1, L. Martinez2
The Golden Ratio, denoted as φ (about 1.618), is a special number that has been known for a long time, with Euclid studying it around 300 B.C. The Fibonacci sequence, where each number is the sum of the two before it, is closely connected to the Golden Ratio. As you go further along in the sequence, the ratio of one number to the next gets closer to φ. This ratio shows up in many places, like art, buildings, and nature, often creating balanced and pleasing shapes.
In Discrete Mathematics course, a fundamental course for Computer Science education, we assign a project, entitled "Golden Ratio Around Me", encouraging students to creatively explore and identify everyday objects and phenomena that exhibit the Golden Ratio. By watching a video and taking pictures of objects in their environment, students gain hands-on experience in recognizing the Golden Ratio in the world around them.
This assignment encourages an appreciation for how mathematics connects with real-world applications, helping students gain a deeper understanding of both mathematical principles and their relevance to everyday life. The project culminates in a reflective essay, where students share their personal thoughts and insights on how the Golden Ratio shapes their perspective on mathematics in daily life. Offering a light and engaging experience, this assignment serves as a refreshing break from the typically intense computations of a Discrete Mathematics course, while also fostering creativity and critical thinking.
We have conducted this assignment in multiple Discrete Mathematics classes. In this paper, we will present the assignment and its grading rubric, as well as the feedback from the students after completing the assignment.
Keywords: Golden Ratio, Fibonacci Sequence, Discrete Mathematics, Creative Thinking.