# Aspects of the Nature and State of Research in Mathematics Education

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## Abstract

This paper offers an outline and a characterisation of the didactics of mathematics, alias the science of mathematics education, as a scientific and scholarly discipline, and discusses why its endeavours should be of interest to research mathematicians (and other mathematics professionals). It further presents and discusses a number of major, rather aggregate findings in the discipline, including the *astonishing complexity of mathematical learning, the key role of domain specificity, obstacles produced by the process-object duality, students' alienation from proof and proving*, and *the marvels and pitfalls of information technology in mathematics education*.

## Keywords

Information Technology Mathematics Education Domain Specificity Mathematical Learning Research Mathematician
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