Students’ Development of a Logarithm Function in Python Using Taylor Expansions: a Teaching Design Case Study

Abstract We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews classroom observations ensure that promoted student understanding. The final version of has make their own logarithm function from scratch, Taylor polynomials. To resulting is accurate reasonably fast, had understand apply concepts both computing mathematics. identify three categories such features attended when demonstrating Additionally, describe four important take-aways teaching point view resulted this iterative process.