Six Equations to Help Conceptualize the Field of Mixed Methods

In my mixed methods voyage, I have encountered philosophers, methodologists, empirical researchers, and other scholars who interface with the field of mixed methods with very different backgrounds and ways of thinking, some much more qualitatively oriented in their thinking, and others much more quantitatively oriented.Through this journey, I have discovered the power of mathematical equations to convey core concepts mixed methodology experts grapple with.After publication of the editorial ''The 1 + 1 = 3 Integration Challenge'' (Fetters & Freshwater, 2015), I heard both a warm reception for its power, as well as criticism that mixed methods was more than could be expressed in this single equation.This prompted me to think further about how additional equations might help conceptualize the field.In the interest of providing an ''equation framework'' to help conceptualize some of the compelling issues in the field of mixed methods, I offer the following six equations.