Complex problem solving is an effective means to engage students in disciplinary content while also furnishing critical non-cognitive and life skills. Despite increased adoption of complex problem-solving methods in K-12 classrooms today (e.g., case-, project-, or problem-based learning), we know little about how to make these approaches accessible to linguistically and culturally diverse (LCD) students. In this paper, we promote a conceptual framework, based on an "ethos of intentionality," that supports culturally responsive teaching (CRT). We provide specific questions to guide teachers' implementation of an ethos of intentionality, through critical reflection and meaningful action, and discuss a framework for culturally relevant practice that operationalizes key central tenets (e.g., high expectations, cultural competence, and critical consciousness). Finally, we include strategies that can help teachers and designers translate the principles of the CRT framework into action with a specific focus on complex problem solving in classrooms.