Vancouver, December 7 - 10, 2018
Focused research in adult basic education for First Peoples and other marginalized groups in Canada is a recent sociological undertaking and remains largely neglected as a serious area of inquiry in the social sciences. This research examines the impact of colonialism on knowledge acquisition for First Peoples in Canada, and the pedagogical relationship between First Peoples, academic institutions and the Canadian state. Other areas of inquiry include traditional forms of indigenous knowledge acquisition and a brief history of race and ethnicity in adult basic education. The research is significant in that it addresses the inherent difficulties of trying to incorporate and implement reciprocal styles of learning as an alternative to the conventional unidirectional and culturally predominant pedagogy in the educative process for First Peoples in Canada.
Let $M$ be a 3-connected matroid and let $\mathbb F$ be a field. Let $A$ be a matrix over $\mathbb F$ representing $M$ and let $(G,\mathcal B)$ be a biased graph representing $M$. Is there any relationship between the matrix and the graph? Yes! $A$ is projectively equivalent to a canonical matrix representation of $M$ arising from $G$ as a gain graph over the additive or multiplicative group of $\mathbb F$. Further, the projective equivalence classes of matrix representations of $M$ are in one-to-one correspondence with the switching equivalence classes of gain graphs arising from $(G,\mathcal B)$.
This is joint work with Daniel Slilaty.
This is a joint work with my doctoral supervisors Dr. Sam Pimentel (Trinity Western University) and Dr. John Stockie (Simon Fraser University).