The purpose of this research is to identify and examine some unusual, unexpected or novel threshold concepts in mathematics. This is ongoing work that contributes towards the development of a suite of resources and strategies for helping learners in the mathematical sciences work towards fulfilling their potential by successfully negotiating and passing through liminal spaces. This project is a...

Mathematical knowledge is publicly available in dozens of different formats and languages, ranging from informal (e.g. Wikipedia) to formal corpora (e.g., Mizar). Despite an enormous amount of overlap between these corpora, few machine-actionable connections exist. We speak of alignment if the same concept occurs in different libraries, possibly with slightly different names, notations, or form...

The notions of “construction principles” is proposed as a complementary notion w.r. to the familiar “proof principles” of Proof Theory. The aim is to develop a parallel analysis of these principles inMathematics and Physics : common construction principles, in spite of different proof principles, justify the effectiveness ofMathematics in Physics. The very “objects” of these disciplines are gro...

The role of mathematics in cancer research is not confined to epidemiology (population level). The expected contribution of it in various levels is exemplified stepwise. At the individual level, prediction of life expectancy of a cancer case or psychological analysis of life-threatened patient; at the tissue level, stochastic estimation of future metastases; at the cellular level, model contruc...