An Integrated Mathematical Approach to Presenting Temperature Scales via Demonstration

This paper describes an approach to presenting the Fahrenheit, Celsius, and Kelvin temperature scales highlighting the following areas: (1) the historical context for the scale, (2) the impetus and basis for the scale, and (3) the mathematical relationship between the scales. This approach asks students to think about the scales in terms of a series of linear functions. This functional relationship is established by measuring and modeling pressure and temperature in a constant-volume gas thermometer. Further, students consider the conversion between temperature scales as the translation of a function based upon physical properties. The result is a deeper understanding of the temperature scales and the importance mathematics can play in understanding scientific concepts.