Pedagogical Research 2020, 5(2), em0056 e-ISSN: 2468-4929 https://www.pedagogicalresearch.com Some Reflections on the philosophy of Mathematics Education: A Denunciation of the Time and Content Arguments Ilhan M. Izmirli 1* 1 George Mason University, Fairfax, VA 22030, USA *Corresponding Author:
[email protected] Citation: Izmirli, I. M. (2020). Some Reflections on the philosophy of Mathematics Education: A Denunciation of the Time and Content Arguments. Pedagogical Research, 5(2), em0056. https://doi.org/10.29333/pr/7854 ARTICLE INFO ABSTRACT Received: 24 Feb. 2020 Of all the arguments directed against presenting mathematical topics within a cultural and historical context, the Accepted: 25 Feb. 2020 most serious ones are those that we will refer to as the time and the content arguments. In this paper, after briefly describing these stances, we will endeavor to evaluate and refute their rationales using a social constructivist line of reasoning. To this end, we will first discuss the basic tenets of radical and social constructivism and then, through some simple concrete examples, show how social constructivism organically heralds the pedagogical methodology that imparts mathematical concepts in conjunction with their historical and cultural contexts. Keywords: mathematics education, philosophy of mathematics education, time argument, content argument INTRODUCTION The intensification of the efforts to isolate mathematics from its cultural and historical contexts, that is, its core essences, has rendered, once again, the justification for such a conflation a much needed obligation, indeed a prodigiously exigent one. Many contentious objections, though mostly improvident, have been presented by those who dispute the importance of such a comprehensive approach to the teaching of mathematics.