A Study of the Effects of Teachers' Knowledge on the NCTM and New York State Mathematics Standards with Students in Grades 7- 12.
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Edge detection using parallel ant colony optimization with Hadoop MapReduce: implementation and scalabilityThe Ant Colony Optimization (ACO) is a popular optimization algorithm that finds use in multiple application areas. Though not among the common uses of this algorithm, edge detection in image analysis is a very functional application of this meta-heuristic. To improve the edge detection capabilities, the inherent parallel nature of the ACO method can be combined with the distributed computing framework provided by the Hadoop/Map-Reduce infrastructure. The latter provides a simple, scalable and fault-tolerant distributed processing paradigm that has been popular in industry and the academic community. In this thesis, we explore the Elastic MapReduce service provided by Amazon Web Services to implement ACO algorithm for edge detection in images, and study its scalability and effectiveness by standard metrics. In addition, we demonstrate a filtering technique to reduce the noisy background of images to achieve significant improvement in the accuracy of edge detection.
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Middle and high school math teachers' narration of Ti-Navigator use as a formative assessment tool.The present study was designed to examine how middle and high school math teachers narrate their uses of TI-Navigator and describe sources of external school support for using this technology. A three-part, written survey was sent to 35 math teachers in three school districts across two counties in Western New York. Fourteen usable surveys were returned (i.e., 40% response rate) that indicated that: (a) graphic calculators were more accessible and used more often than TI-Navigator, (b) there was a reported under-utilization of the technology and specific program features, and (c) professional development and support appeared to be equally minimal. Those teachers who did use TI-Navigator regularly noted some additional time demands from its use but that pupils responded favorably to the technology. Implications for future research and practice are described.
