Modern Trends in Mathematical Research

Abstract

In this lecture I will survey some recent trends in mathematics education, by examining the evolution of the study of teaching and learning of algebra. Even though the field of research in mathematics education is small by comparison with the major disciplines in science and humanities it is now too large to make strong claims about trends and findings, so a narrowing is essential. Algebra education is a good choice because it has been a particularly active field.
Mathematics research in India as reflected by paper in deed is quantified and mapped. Statistics, quantum theory and general topology are three sub fields contributing the most to India's output to mathematics research followed by special functions, economics and operations research and relativity theory.