The use of explicit algorithms and episodic context to teach subtraction to students with learning problems in mathematics /

This research attempted to address the question of the role of explicit algorithms and episodic contexts in the acquisition of computational procedures for regrouping in subtraction. Three groups of students having difficulty learning to subtract with regrouping were taught procedures for doing so through either an explicit algorithm, an episodic content or an examples approach. It was hypothesized that the use of an explicit algorithm represented in a flow chart format would facilitate the acquisition and retention of specific procedural steps relative to the other two conditions. On the other hand, the use of paragraph stories to create episodic content was expected to facilitate the retrieval of algorithms, particularly in a mixed presentation format. The subjects were tested on similar, near, and far transfer questions over a four-day period. Near and far transfer algorithms were also introduced on Day Two. The results suggested that both explicit and episodic context facilitate performance on questions requiring subtraction with regrouping. However, the differential effects of these two approaches on near and far transfer questions were not as easy to identify. Explicit algorithms may facilitate the acquisition of specific procedural steps while at the same time inhibiting the application of such steps to transfer questions. Similarly, the value of episodic context in cuing the retrieval of an algorithm may be limited by the ability of a subject to identify and classify a new question as an exemplar of a particular episodically deflned problem type or category. The implications of these findings in relation to the procedures employed in the teaching of Mathematics to students with learning problems are discussed in detail.

Service Learning in Higher Education: A Road Map

As institutions of higher education struggle to stay relevant, competitive, accessible, and flexible, they are scrambling to attend to a shift in focus for new students. This shift involves experiential learning. The purpose of this major research paper was to examine the existing structures, to seek gaps in the experiential learning programs, and to devise a framework to move forward. The specific focus was on experiential learning at Brock University in the Faculty of Applied Health Sciences. The methodology was underscored with cognitive constructivism and appreciative theory. Data collection involved content analysis steps established by Krippendorff (2004) and Weber (1985). Data analysis involved the four dimensions of reflection designed by LaBoskey, including the purpose, context, content, and procedures. The results developed understandings on the state of formal processes and pathways within service learning. A tool kit was generated that defines service learning and offers an overview of the types of service learning typically employed. The tool kit acts as a reference guide for those interested in implementing experiential learning courses. Importantly, the results also provided 10 key points in experiential learning courses by Emily Allan. A flow chart illustrates the connections among each of the 10 points, and then they are described in full to establish a strategy for the way forward in experiential learning.