Reading as a Learning Strategy for Mathematics

In this action research study of 55 sophomore and junior students in my Algebra II/Trigonometry classrooms, I investigated a reading strategy of learning mathematics. Students were given background information about reading and explored the benefits of reading for themselves. Next, students were taught to read their textbook, analyzing one section of the textbook at a time. Throughout the research project, students were given reading guides to fill out during class with whole class discussion following the reading time. I discovered that students are able to read a mathematics textbook with understanding and students who are gone for activities can learn independently. Teacher observations, student surveys, and student interviews provide quantitative evidence of increased student understanding and achievement. As a result of this research, I plan to continue utilizing the reading guides and incorporating reading as a method of learning mathematics within my classrooms.

Scaling a Dataflow Testing Methodology to the MultiparadigmWorld of Commercial Spreadsheets

Spreadsheets are widely used but often contain faults. Thus, in prior work we presented a data-flow testing methodology for use with spreadsheets, which studies have shown can be used cost-effectively by end-user programmers. To date, however, the methodology has been investigated across a limited set of spreadsheet language features. Commercial spreadsheet environments are multiparadigm languages, utilizing features not accommodated by our prior approaches. In addition, most spreadsheets contain large numbers of replicated formulas that severely limit the efficiency of data-flow testing approaches. We show how to handle these two issues with a new data-flow adequacy criterion and automated detection of areas of replicated formulas, and report results of a controlled experiment investigating the feasibility of our approach.

Literacy Research: Issues of Authority, Ownership, and Representation

With the “social turn” of language in the past decade within English studies, ethnographic and teacher research methods increasingly have acquired legitimacy as a means of studying student literacy. And with this legitimacy, graduate students specializing in literacy and composition studies increasingly are being encouraged to use ethnographic and teacher research methods to study student literacy within classrooms. Yet few of the narratives produced from these studies discuss the problems that frequently arise when participant observers enter the classroom. Recently, some researchers have begun to interrogate the extent to which ethnographic and teacher research methods are able to construct and disseminate knowledge in empowering ways (Anderson & Irvine, 1993; Bishop, 1993; Fine, 1994; Fleischer. 1994; McLaren, 1992). While ethnographic and teacher research methods have oftentimes been touted as being more democratic and nonhierarchical than quantitative methods—-which oftentimes erase individuals lived experiences with numbers and statistical formulas—-researchers are just beginning to probe the ways that ethnographic and teacher research models can also be silencing, unreflective, and oppressive. Those who have begun to question the ethics of conducting, writing about, and disseminating knowledge in education have coined the term “critical” research, a rather vague and loose term that proposes a position of reflexivity and self-critique for all research methods, not just ethnography or teacher research. Drawing upon theories of feminist consciousness-raising, liberatory praxis, and community-action research, theories of critical research aim to involve researchers and participants in a highly participatory framework for constructing knowledge, an inquiry that seeks to question, disrupt, or intervene in the conditions under study for some socially transformative end. While critical research methods are always contingent upon the context being studied, in general they are undergirded by principles of non-hierarchical relations, participatory collaboration, problem-posing, dialogic inquiry, and multiple and multi-voiced interpretations. In distinguishing between critical and traditional ethnographic processes, for instance, Peter McLaren says that critical ethnography asks questions such as “[u]nder what conditions and to what ends do we. as educational researchers, enter into relations of cooperation. mutuality, and reciprocity with those who we research?” (p. 78) and “what social effects do you want your evaluations and understandings to have?” (p. 83). In»the same vein, Michelle Fine suggests that critical researchers must move beyond notions of the etic/emic dichotomy of researcher positionality in order to “probe how we are in relation with the contexts we study and with our informants, understanding that we are all multiple in those relations” (p. 72). Researchers in composition and literacy stud¬ies who endorse critical research methods, then, aim to enact some sort of positive transformative change in keeping with the needs and interests of the participants with whom they work.