The Euler constant – e
At Beyond Countables, we firmly believe that true mathematical understanding blossoms when students are encouraged to explore concepts through inquiry and investigation. Our pedagogical approach emphasizes critical thinking, hands-on discovery, and real-world applications. One of the most compelling examples of this approach in action was a recent project undertaken by a Grade 12 student, who delved into the fascinating world of the mathematical constant ‘e’, also known as Euler’s number.
In this investigative activity, the student explored the concept of compound interest, a practical and relatable scenario in economics, to understand how e emerges naturally. Through guided inquiry and experimentation, the student analyzed how increasing the frequency of compounding interest—annually, semi-annually, quarterly, monthly, and even infinitely – approaches the mathematical constant e.
This deep dive not only strengthened the student’s conceptual grasp of exponential functions but also revealed the elegant connection between abstract mathematics and its real-world applications. This exploration is a testament to the power of inquiry-based learning. It showcases how students, when given the space to question and investigate, can uncover profound mathematical truths and develop a lifelong appreciation for the subject. We wholeheartedly celebrate the student’s curiosity, perseverance, and the ability to connect classroom concepts with broader mathematical and economic ideas.
Let us take a moment to applaud this wonderful effort and the mathematical beauty that lies in such meaningful exploration.