Disciplines/Subjects: Mathematics, Scientific Research, Data Science
Key Themes: Exponential and Logarithmic Modeling, Growth and Decay Phenomena, Mathematical Representation of Real-World Processes
In this project, learners selected topics of personal interest related to phenomena that exhibit exponential growth or decay, such as population dynamics, radioactive decay, or, as in this example, memory retention. This sample work explores Ebbinghaus’ Memory Curve, which describes the decline of memory retention over time. Using experimental data collected from peers, the student modeled the decay process with exponential functions and investigated the effect of review sessions on memory retention. The project illustrates the practical application of mathematics in diverse fields and fosters analytical skills through data-driven inquiry.
Habits of mind: Curiosity, Continuous Learning, Strive for Excellence
Transferable skills: Organizing & Representing Information, Identifying Patterns and Relationships, Interpreting Data/Information to Make Valid Claims
Content Knowledge:
Understanding exponential and logarithmic functions.
Researching and analyzing existing data from reliable sources or conducting experiments.
Applying mathematical modeling to real-world scenarios.