The Salmon Algorithm - A New Population Based Search Metaheuristic

This thesis introduces the Salmon Algorithm, a search meta-heuristic which can be used for a variety of combinatorial optimization problems. This algorithm is loosely based on the path finding behaviour of salmon swimming upstream to spawn. There are a number of tunable parameters in the algorithm, so experiments were conducted to find the optimum parameter settings for different search spaces. The algorithm was tested on one instance of the Traveling Salesman Problem and found to have superior performance to an Ant Colony Algorithm and a Genetic Algorithm. It was then tested on three coding theory problems - optimal edit codes, optimal Hamming distance codes, and optimal covering codes. The algorithm produced improvements on the best known values for five of six of the test cases using edit codes. It matched the best known results on four out of seven of the Hamming codes as well as three out of three of the covering codes. The results suggest the Salmon Algorithm is competitive with established guided random search techniques, and may be superior in some search spaces.

The Search for Scholarly Teaching in Elementary Education

Elementary teachers are expected to prepare students to work efficiently with others, solve complex problems and self-regulate their own learning. Considering the importance of a solid educational foundation in the early years, students would benefit if elementary teachers engaged in scholarly teaching. The purpose of this study was to investigate Boyer’s (1990) four dimensions of scholarship, application, integration, teaching and discovery, to better understand if there is scholarly teaching in elementary education. Four professional teaching documents were analyzed using a hermeneutic orientation. A deductive analysis suggests that we do have scholarly teaching in elementary education, with strong evidence that elementary teachers are scholars of application and integration. An inductive analysis of latent and manifest content suggests that underlying humanistic values run deeply through elementary education driving current curricular, instructional and pedagogical practices.