In this Research Commentary, we describe 3 journal metrics–the Web of Science's Impact Factor, Scopus's SCImago Journal Rank, and Google Scholar Metrics' h5-index—and compile the rankings (if they exist) for 69 mathematics education journals. We then discuss 2 paths that the mathematics education community should consider with regard to these citation-based metrics of journal quality: either working within the system to enhance our positioning or resisting or modifying the system itself.

Numerous studies have attempted to measure scientists' influence by measuring the quantity of citations to their works. The problem with "citation counting," as it is called, is that it assumes that each listing of an author in a citation index is equal to another without bothering to explore the substantive uses of citations in the source article. The present study attempts to alleviate this problem by content analysis of citations in a limited sphere: reference to major philosophers of science by sociologists. In just over 100 sociology journals, citations to Thomas Kuhn, Karl Popper, Ernst Nagel, and Carl Hempel (overall, the most frequently cited philosophers of science) from 1971-1982 were randomly sampled. Each citation was classified according to the following criteria: 1) philosopher cited; 2) work cited, 3) exclusivity (whether cited with others); 4) multiplicity (number of citations by the philosopher in the same article); 5) type of article; and 6) purpose of citation. Purposes of citation included seven categories: 1) listing as relevant literature; 2) definition of a concept; 3) modification or extension of a philosopher's theory; 4) formulation of a research problem; 5) interpretation of results; 6) critical of philosopher's work; and 7) other. Analysis of these data revealed the following conclusions: 1) the major use of philosophy was the furnishing of concepts and their definitions; 2) philosophy of science played little or no role in directing research or interpreting results; 3) the use of citations differed greatly among the philosophers; 4) simple citation counting would have severely distorted the relative influences of each philosopher; and 5) the dialogue between sociology and the philosophy of science has, in the last decade, been dominated by Kuhn's theory of scientific revolutions.