# Mathematics Education as a Matter of Achievement

**DOI:**https://doi.org/10.1007/978-981-287-588-4_521

## Introduction

Achievement in school mathematics is defined in relation to the goals of mathematics education, which are stated in curriculum frameworks, debated in research, or assumed by educational policy actors. Assessment of performance creates both, criteria for what it means to be successful in mathematics and students who achieve below and above a minimum standard or at a range of levels. Achievement (here used synonymously with academic performance or attainment), as an outcome of assessments after conclusion of an instructional unit, is commonly expressed in the form of course grades or scores on school examinations and other achievement tests. In school mathematics it appears comparatively easy to create large achievement differences between individuals. Because mathematics education has a long-standing function as a “gatekeeper” for entering a range of professions and higher education, there is a comparatively high economic value attached to good grades or test scores. In...

### References

- Clarke, D. J. (2003). International comparative studies in mathematics education. In A. J. Bishop Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.),
*Second international handbook of mathematics education*(pp. 145–186). Dordrecht: Kluwer.Google Scholar - Cooper, B., & Dunne, M. (2000).
*Assessing children’s mathematical knowledge: Social class, sex and problem solving*. Buckingham: Open University Press.Google Scholar - Freudenthal, H. (1975). Pupils achievement internationally compared – The IEA.
*Educational Studies in Mathematics, 6*, 127–186.CrossRefGoogle Scholar - Jablonka, E. (2015). The evolvement of numeracy and mathematical literacy curricula and the construction of hierarchies of numerate or mathematically literate subjects.
*ZDM Mathematics Education, 47*(4), 599–609.CrossRefGoogle Scholar - Jablonka, E., & Bergsten, C. (2016). lnstalling “good mathematics teaching”: Hegemonic strategies and alliances of researchers. In H. Straehler-Pohl, N. Bohlmann, & P. Alexandre (Eds.),
*The disorder of mathematics education: Challenging the socio-political dimensions of research*(pp. 107–120). Berlin: Springer.Google Scholar - Jahnke, T., & Meyerhöfer, W. (Eds.). (2007).
*Kritisches zu Pisa & Co*(2nd ed.). Berlin: Franzbecker.Google Scholar - Kanes, C., Morgan, C., & Tsatsaroni, A. (2014). The PISA mathematics regime: Knowledge structures and practices of the self.
*Educational Studies in Mathematics, 87*, 145–165.CrossRefGoogle Scholar - Levine, M. (1976). The academic achievement test. Its historical context and social functions.
*American Psychologist, 31*, 228–238.CrossRefGoogle Scholar - Meaney, T., & Evans, D. (2013). What is the responsibility of mathematics education to the Indigenous students that it serves?
*Educational Studies in Mathematics, 82*(3), 481–496.CrossRefGoogle Scholar - OECD. (2015).
*Universal basic skills: What countries stand to gain*. OECD Publishing. Retrieved from http://dx.doi.org/10.1787/9789264234833-en - Rindermann, H., & Baumeister, A. E. E. (2015). Validating the interpretations of PISA and TIMSS tasks: A rating study.
*International Journal of Testing, 15*(1), 1–22.CrossRefGoogle Scholar - Secada, W. G. (1992). Race, ethnicity, social class, language, and achievement in mathematics. In D. A. Grouws (Ed.),
*Handbook of research on mathematics teaching and learning*(pp. 623–660). New York: Macmillan.Google Scholar - Valero, P., & Meaney, T. (2014). Trends in researching the socioeconomic influences on mathematical achievement.
*ZDM Mathematics Education, 46*(7), 977–986.CrossRefGoogle Scholar - Wiliam, D. (2003). Constructing difference: Assessment in mathematics education. In L. Burton (Ed.),
*Which way social justice in mathematics education?*(pp. 189–207). Westport: Praeger.Google Scholar - Wiliam, D., Bartholomew, H., & Reay, D. (2004). Assessment, learning, and identity. In R. Zevenbergen & P. Valero (Eds.),
*Researching socio-political dimensions of mathematics education: Issues of power in theory and methodology*(pp. 43–62). Dordrecht: Kluwer.CrossRefGoogle Scholar - Zhao, N., Valcke, M., Desoete, A., & Verhaeghe, J. P. (2012). The quadratic relationship between socioeconomic status and learning performance in China by multilevel analysis: Implications for policies to foster education equity.
*International Journal of Educational Development, 32*(3), 412–422.CrossRefGoogle Scholar