There has been a growing emphasis on the education of future generations of engineers who will have to tackle complex, global issues that are sociotechnical in nature. The National Science Foundation invests millions of dollars in interdisciplinary engineering education research (EER) to create an innovative and inclusive culture aimed at radical change in the engineering education system. This exploratory research sought to better understand ways of thinking to address complex educational challenges, specifically, in the context of engineering-social sciences collaborations. The mixed methods inquiry drew on the ways of thinking perspectives from sustainability education to adapt futures, values, systems, and strategic thinking to the context of EER. Using the adapted framework, nine engineer-social scientist dyads were interviewed to empirically understand conceptualizations and applications of futures, values, systems, and strategic thinking. The qualitative results informed an original survey instrument, which was distributed to a sample of 310 researchers nationwide. Valid responses (n = 111) were analyzed to uncover the number and nature of factors underlying the scales of futures, values, systems, and strategic thinking. Findings illustrate the correlated, multidimensional nature of ways of thinking. Results from the qualitative and quantitative phases were also analyzed together to make recommendations for policy, teaching, research, and future collaborations. The current research suggested that ways of thinking, while perceived as a concept in theory, can and should be used in practice. Futures, values, systems, and strategic thinking, when used in conjunction could be an important tool for researchers to frame decisions regarding engineering education problem/solution constellations.