Richard O'Donovan

IMMERSION

For students in the English Immersion course, updated handouts can be found (in pdf format) here.

ANALYSIS WITH ULTRASMALL NUMBERS

For people interested in the use of ultrasmall numbers for teaching introductory analysis in high school, click here.

The term "infinitesimal" conveys an intuitive meaning but raises other difficult issues. We  prefer to use the term "ultrasmall numbers".

Analysis with ultrasmall numbers is a rigorous mathematical approach. It is an adaptation of work by Karel Hrbacek (New York) and Yves Péraire (Clermont-Ferrand). The aim of this research is to "downgrade" mathematical research material to a high school level yet retaining mathematical consistency. This work is a joint project with Olivier Lessmann (Collège Rousseau, Geneva) and supported by the state school Research and Development department.