Outlets for students to develop mathematical ideas and skills to solve real-life problems and applicable situations have been neglected in secondary classrooms (Gainsburg, 2008). Designing curricula that applies real-life situations has been promoted by the National Council of Teachers of Mathematics (2000), the National Research Council (1998), and the Commission on Behavioral and Social Sciences and Education (2000) and also is an expectation of state standards for student learning (Texas Education Agency, 2009). Contrary, evidence has shown low benefits to classroom real-life examples perceived by students. This study served dual purposes: 1) Determine the relationship between place-based education and mathematics learning, and 2) Investigate teacher conceptions of place-based education opportunities in high school, mathematics curriculum. This study employed two methodologies. A mixed-methods approach was employed for the meta-analysis of place-based programs and the second employed qualitative methods of structured interviewing to determine teachers’ conceptions of place-based pedagogy. Upon completion of the study, I concluded: 1) Place-based pedagogies align toward more foundational mathematic skills (e.g. measurement, number sense) when implemented, and 2) Teachers’ conceive place-based as a general effective tool for student engagement and real-world context of how mathematics functions in society.

This qualitative inquiry explored how art educators might broaden their views of place through critical encounters with art, local visual culture, and working with older artists. I combined place-based (PB) education and intergenerational (IG) learning as the focus of an art education curriculum writing initiative with in-service art educators within a museum setting to produce PBIG art education. This study engaged art educators in cooperative action research using a multi-modal approach, including identifying and interviewing local artists to construct new understandings about local place and art to share with students and community. I used critical reflection in our cooperative action research by troubling paradoxes in local visual culture, which formed views of place including Indigenous cultures. Using Deleuze's Logic of Sense (LOS) theories of sense and event, enabled concept development through embracing the paradoxes of this research as sense producing. LOS theory of duration complements IG learning by clarifying the contributions of place and time to memory and experience. Duration suggests that place locates the virtual past, which is actualized through memories--one of the shared experiences of IG learning. Rethinking IG relationships as a sharing of experience and memory while positioning place as a commonality, dismantles ageist notions by offering alternatives to binary thinking about old and young. By triangulating participant data based on the extended epistemology of cooperative action research and Deleuze's pure event, I assess the credibility of participant learning. Critical reflection in cooperative action research combined with LOS theory is significant because the reflective aspect of action research aligns with Deleuze's pure event. Vital curricula and teacher praxes resulted when participants integrated localized experiences of place through older artists' memories and art.