# Mathematics Education Research: A Guide for the Research Mathematician

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*Curtis McKnight; Andy Magid; Teri J. Murphy; Michelynn McKnight*

Mathematics education research in undergraduate mathematics has
increased significantly in the last decade and shows no signs of
abating in the near future. Thus far, this research has often been
associated with innovations in curriculum such as calculus reform,
statistics education, and the use of computational and graphing
technology in instruction.

Carefully conducted mathematics education research is something far more
fundamental and widely useful than might be implied by its use by the
advocates of innovation in undergraduate mathematics education. Most
simply, mathematics education research is inquiry by carefully developed
research methods aimed at providing evidence about the nature and
relationships of many mathematics learning and teaching phenomena. It
seeks to clarify the phenomena, illuminate them, explain how they are
related to other phenomena, and explain how this may be related to
undergraduate mathematics course organization and teaching.

This book—the collaborative effort of a research mathematician,
mathematics education researchers who work in a research mathematics
department and a professional librarian—introduces research
mathematicians to education research. The work presents a non-jargon
introduction for educational research, surveys the more commonly used
research methods, along with their rationales and assumptions, and
provides background and careful discussions to help research
mathematicians read or listen to education research more
critically.

This guide is of practical interest to university-based research
mathematicians. It introduces the methodology of quantitative and
qualitative research in education, provides critical guidelines for
assessing the reliability and validity of mathematics education research,
and explains how to use online database resources to locate education
research. The book will also be valuable to graduate students in
mathematics who are planning academic careers, and to mathematics
department chairs and their deans.

#### Readership

Research mathematicians in universities, graduate students in mathematics who are planning academic careers, mathematics departments chairs and their deans.