**APA**

**In-text citation:** (Stemhagen, 2007)

**Reference:** Stemhagen, K. (2007). Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars". *International Electronic Journal of Mathematics Education, 2*(2), 91-105.

**AMA**

**In-text citation:** (1), (2), (3), etc.

**Reference:** Stemhagen K. Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars". *INT ELECT J MATH ED*. 2007;2(2), 91-105.

**Chicago**

**In-text citation:** (Stemhagen, 2007)

**Reference:** Stemhagen, Kurt. "Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars"". *International Electronic Journal of Mathematics Education* 2007 2 no. 2 (2007): 91-105.

**Harvard**

**In-text citation:** (Stemhagen, 2007)

**Reference:** Stemhagen, K. (2007). Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars". *International Electronic Journal of Mathematics Education*, 2(2), pp. 91-105.

**MLA**

**In-text citation:** (Stemhagen, 2007)

**Reference:** Stemhagen, Kurt "Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars"". *International Electronic Journal of Mathematics Education*, vol. 2, no. 2, 2007, pp. 91-105.

**Vancouver**

**In-text citation:** (1), (2), (3), etc.

**Reference:** Stemhagen K. Empiricism, Contigency and Evolutionary Metaphors: Getting Beyond the "Math Wars". INT ELECT J MATH ED. 2007;2(2):91-105.

# Abstract

This article provides a philosophical conceptualization of mathematics given the particular tasks of its teaching and learning. A central claim is that mathematics is a discipline that has been largely untouched by the Darwinian revolution; it is a last bastion of certainty. Consequently, mathematics educators are forced to draw on overly absolutist or constructivist accounts of the discipline. The resulting “math wars” often impede genuine reform. I suggest adopting an evolutionary metaphor to help explain the epistemology/nature of mathematics. In order to use this evolutionary metaphor to its fullest effect in overcoming the polarization of the math wars, mathematical empiricism is presented as a means of constraint on the development of mathematics. This article sketches what an evolutionary philosophy of mathematics might look like and provides a detailed descriptive account of mathematical empiricism and its potential role in this novel way of thinking about mathematical enterprises.