# History of Research in Mathematics Education

**DOI:**https://doi.org/10.1007/978-3-030-15789-0_71

## Definition

An account of activities and events concerned with the development of disciplined inquiry in mathematics education as a flourishing academic enterprise.

## Main Text

Although mathematics has been taught and learned for millennia, not until the past century or so have the nature and quality of teaching and learning mathematics been studied in any a serious manner. Clay tablets from ancient Babylonia (c 1900 BC to c 1600 BC), for example, show that students in the scribal school were expected to solve problems involving quadratic polynomials (Høyrup 1994, pp. 4–9), but no available evidence indicates how much drill and practice either they received or their instructors thought they needed. As of 1115 BC, applicants to the Chinese civil service had to pass an examination in arithmetic (Kilpatrick 1993, p. 22), but as far as anyone knows, no one ever investigated how well their examination performance predicted their job performance. In Plato’s *Meno*, he relates how, in the fifth...

## Keywords

Research Mathematics education History Academic field Psychology Mathematics## References

- Artigue M, Perrin-Glorian M-J (1991) Didactic engineering, research and development tool: some theoretical problems linked to this duality. Learn Math 11(1):13–18Google Scholar
- Artigue M, Winsløw C (2010) International comparative studies on mathematics education: a viewpoint from the anthropological theory of didactics. Recherche en Didact des Maths 31:47–82Google Scholar
- Bauersfeld H (1979) Research related to the learning process. In: Steiner H-G, Christiansen B (eds) New trends in mathematics teaching, vol 4. Paris, Unesco, pp 199–213Google Scholar
- Biehler R, Scholz RW, Straesser R, Winkelmann B (eds) (1993) The didactics of mathematics as a scientific discipline. Kluwer, DordrechtGoogle Scholar
- Clements MA, Ellerton NF (1996) Mathematics education research: past, present and future. UNESCO Principal Regional Office for Asia and the Pacific, BangkokGoogle Scholar
- Cubberley EP (1919) Public education in the United States: a study and interpretation of American educational history. Houghton Mifflin, BostonGoogle Scholar
- Donoghue EF (2001) Mathematics education in the United States: origins of the field and the development of early graduate programs. In: Reys RE, Kilpatrick J (eds) One field, many paths: U.S. doctoral programs in mathematics education. American Mathematical Society, Providence, pp 3–17CrossRefGoogle Scholar
- Franke ML, Kazemi E, Battey D (2007) Mathematics teaching and classroom practice. In: Lester FK Jr (ed) Second handbook of research on mathematics teaching and learning. Information Age, Charlotte, pp 225–256Google Scholar
- Furinghetti F (2008) Mathematics education in the ICMI perspective. Int J Hist Math Educ 3:47–56Google Scholar
- Furinghetti F, Matos JM, Menghini M (2013) From mathematics and education, to mathematics education. In: Clements MA, Bishop AJ, Keitel C, Kilpatrick J, Leung FKS (eds) Third international handbook of mathematics education. Springer, New York, pp 273–302Google Scholar
- Guin D, Ruthven K, Trouche L (eds) (2005) The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument. Springer, New YorkGoogle Scholar
- Hodgson BR, Rogers LF, Lerman S, Lim-Teo SK (2013) International organizations in mathematics education. In: Clements MA, Bishop AJ, Keitel C, Kilpatrick J, Leung FKS (eds) Third international handbook of mathematics education. Springer, New York, pp 901–947Google Scholar
- Hoyles C, Lagrange JB (eds) (2010) Mathematics education and technology – rethinking the terrain: the 17th ICMI study. Springer, New YorkGoogle Scholar
- Høyrup J (1994) In measure, number, and weight: studies in mathematics and culture. State University of New York Press, AlbanyGoogle Scholar
- Kaput JJ, Thompson PW (1994) Technology in mathematics education research: the first 25 years in the JRME. J Res Math Educ 25:667–684CrossRefGoogle Scholar
- Karp A (2013) From the local to the international in mathematics education. In: Clements MA, Bishop AJ, Keitel C, Kilpatrick J, Leung FKS (eds) Third international handbook of mathematics education. Springer, New York, pp 797–826Google Scholar
- Kilpatrick J (1992) A history of research in mathematics education. In: Grouws D (ed) Handbook of research on mathematics teaching and learning. Macmillan, New York, pp 3–38Google Scholar
- Kilpatrick J (1993) The chain and the arrow: from the history of mathematics assessment. In: Niss M (ed) Investigations into assessment in mathematics education: an ICME study. Kluwer, Dordrecht, pp 31–46CrossRefGoogle Scholar
- Kilpatrick J (2008) The development of mathematics education as an academic field. In: Menghini M, Furinghetti F, Giacardi L, Arzarello F (eds) The first century of the international commission on mathematical instruction (1908–2008): reflecting and shaping the world of mathematics education. Istituto della Enciclopedia Italiana, Rome, pp 25–39Google Scholar
- Koehler MS, Grouws DA (1992) Mathematics teaching practices and their effects. In: Grouws D (ed) Handbook of research on mathematics teaching and learning. Macmillan, New York, pp 115–126Google Scholar
- Roberts DL, Leung AYL, Lins AF (2013) From the slate to the web: technology in the mathematics curriculum. In: Clements MA, Bishop AJ, Keitel C, Kilpatrick J, Leung FKS (eds) Third international handbook of mathematics education. Springer, New York, pp 525–547Google Scholar
- Schubring G (1988) The cross-cultural “transmission” of concepts: the first international mathematics curricular reform around 1900, with an appendix on the biography of F. Klein. Occasional paper no 92, corrected edition. Institut für Didakdik der Mathematik, Universität Bielefeld, BielefeldGoogle Scholar
- Schubring G (2012) ‘Experimental pedagogy’ in Germany, elaborated for mathematics: a case study in searching the roots of PME. Res Math Educ 14:221–235CrossRefGoogle Scholar