This study sought the lived and told stories of Native American women working in engineering and technology so that their voices may be heard in engineering education scholarship and challenge assumptions surrounding universal understandings of what it means to be a minority woman in science, technology, engineering, and mathematics (STEM). The study was directed by two research questions: (1) What are the lived and told stories of Native women in engineering and technology who are leading initiatives to improve their Native communities and (2) How do Native women’s understandings of their identities influence their work and acts of leadership? The study employed narrative inquiry as the methodological framework and was guided by theoretical frameworks of identities as constructed, multiple, and intersectional (Crenshaw, 1989; Tajfel & Turner, 1979), hybridity, and “third spaces” (Bhabha, 2012). The inquiry was also informed by feminist theories of Native scholars (Green, 1983; Kidwell, 1978) and engineering education (Beddoes & Borrego, 2011; Riley, Pawley, Tucker, & Catalano, 2009). The narrative analysis presented three narratives, based upon interviews, field notes, observations, and documents: (1) the story of a Navajo woman working within a large technical corporation (Jaemie); (2) the story of an Akimel O’odham-Mexican woman working within a tribally-owned technical business (Mia); and (3) the story of a Navajo woman growing her own technical business (Catherine). The narratives revealed a series of impactful transitions that enabled Jaemie, Mia, and Catherine to work and lead in engineering and technology. The transitions revolved around themes of becoming professionals, encountering and overcoming hardship, seeking to connect and contribute to Natives through work, leading change for their Native communities, and advancing their professional selves and their Native communities. Across the transitions, a transformation emerged from cultural navigation to leadership for the creation of new hybrid spaces that represented innovative sites of opportunity for Native communities. The strength of the Native spaces enabled Jaemie, Mia, and Catherine to leverage their identities as Native women within the global context of engineering and technology. The narratives denote the power of story by contributing the depth and richness of lived realities in engineering and technology.

Design problem formulation is believed to influence creativity, yet it has received only modest attention in the research community. Past studies of problem formulation are scarce and often have small sample sizes. The main objective of this research is to understand how problem formulation affects creative outcome. Three research areas are investigated: development of a model which facilitates capturing the differences among designers' problem formulation; representation and implication of those differences; the relation between problem formulation and creativity.

This dissertation proposes the Problem Map (P-maps) ontological framework. P-maps represent designers' problem formulation in terms of six groups of entities (requirement, use scenario, function, artifact, behavior, and issue). Entities have hierarchies within each group and links among groups. Variables extracted from P-maps characterize problem formulation.

Three experiments were conducted. The first experiment was to study the similarities and differences between novice and expert designers. Results show that experts use more abstraction than novices do and novices are more likely to add entities in a specific order. Experts also discover more issues.

The second experiment was to see how problem formulation relates to creativity. Ideation metrics were used to characterize creative outcome. Results include but are not limited to a positive correlation between adding more issues in an unorganized way with quantity and variety, more use scenarios and functions with novelty, more behaviors and conflicts identified with quality, and depth-first exploration with all ideation metrics. Fewer hierarchies in use scenarios lower novelty and fewer links to requirements and issues lower quality of ideas.

The third experiment was to see if problem formulation can predict creative outcome. Models based on one problem were used to predict the creativity of another. Predicted scores were compared to assessments of independent judges. Quality and novelty are predicted more accurately than variety, and quantity. Backward elimination improves model fit, though reduces prediction accuracy.

P-maps provide a theoretical framework for formalizing, tracing, and quantifying conceptual design strategies. Other potential applications are developing a test of problem formulation skill, tracking students' learning of formulation skills in a course, and reproducing other researchers’ observations about designer thinking.