Assessing the Impact of Bridging Analogies in Mechanics

Serkan Yilmaz, Ali Eryilm, Omar Geban

The effects of bridging analogies teaching strategy and gender on Turkish high school students' misconceptions in mechanics were investigated. After a pilot study with 67 students in a nearby high school, the researchers administered the revised Mechanics Misconception Test to 119 high school students as a pretest. Students in the experimental group were instructed by using bridging analogies teaching strategy. At the end of a 3-week treatment period, the same test was administered to all students as a posttest. The data were analyzed by using analysis of covariance (ANCOVA). The statistical results showed that bridging analogies teaching strategy was an effective means of reducing the number of misconceptions students held about normal forces, frictional forces, tension, gravity, inertia, and Newton's third law.

An Evaluation of a Master's Degree in K-8 Mathematics and Science: Classroom Practice

Nancy S. Lewis, Bobby Jeanpierre

“Evaluation as a particular kind of investigated discipline is distinguished from, for example, traditional empirical research in the social sciences or from literary criticism, criminalistics, or investigative reporting, partly by its extraordinary multidisciplinarity” (Scrivens, 1991, p. 141). It is this unique multidisciplinary feature of evaluation that adds usefulness when determining the effectiveness of programs seeking to integrate mathematics and science teaching and learning across elementary and middle grade levels.

In 2005, a K-8 mathematics and science program celebrated its 15th year of service. The program was the result of education, business, and community partnership efforts focused on improving mathematics and science teaching and learning in schools throughout a metropolitan region in the southeastern United States. To date, over 350 K-8 teachers have completed a master's degree through this mathematics and science education program. The director realized that an evaluation of the program would likely provide insights that would benefit not only the efforts of the program but the broader mathematics and science teaching and learning community. Hence, the National Science Foundation (award No. 9815931), which had provided start-up funds for the program responded to this need and provided funding for a longitudinal evaluation of the program. The evaluation was conducted from 1999 to 2004.

This article focuses on the evaluation results for years 1 and 2 and addresses the question related to changes in teachers' classroom practice.

Symbolic Drawings Reveal Changes in Preservice Teacher Mathematics Attitudes after a Mathematics Methods Course

Audrey C. Rule, Mary H. Harrell

A new method of analyzing mathematics attitudes through symbolic drawings, situated within the field of Jungian-oriented analytical psychology, was applied to 52 preservice elementary teachers before and after a mathematics methods course. In this triangulation mixed methods design study, pretest images related to past mathematics experiences drawn by prospective teachers were 63.2% negative in tone, and listed associated emotions were 60.4% negative; on the posttest these changed significantly to 72.1% positive images, with 70.5% positive associated emotions. The qualitative analysis of images and preservice teacher interpretations of them indicate that mathematics anxiety decreased and motivation changed from extrinsic to intrinsic as a result of the course. Pretest images and interpretations focused primarily on grades, unhappiness, time and pressure, struggle, and lack of success. Posttest images and interpretations revealed (a) greater understanding of mathematical concepts through use of concrete materials; (b) greater engagement in mathematics through interesting activities and discourse with peers; and (c) a sense of accomplishment from teaching practicum lessons. Because the drawing exercise helped students connect with their previously unconscious images of mathematics, thereby helping to shift the mathematics anxiety complex toward a more positive affective state, it is recommended that these activities be part of mathematics methods courses.

Bridging Engineering and Science Teaching: A Collaborative Effort to Design Instruction for College Students

Rebecca Schneider, Mark Pickett

Reformers seeking to increase student understanding and interest are looking to collaborative partnerships to support improved science, technology, engineering, and mathematics (STEM) teaching. At the college level, partnerships across colleges are encouraged by reformers in order to provide all students with strong content understanding, model recommended practices for future teachers, and increase participation by underrepresented groups in STEM careers. Collaborative curriculum development, however, is not a trivial undertaking and success is not guaranteed. A better understanding of how partners with different backgrounds interact and what types of instructional changes can be expected from initial attempts will facilitate this potentially powerful approach to instructional change. In this project, 2 engineers and 2 science educators worked jointly to develop a design-based core engineering course to meet the needs and interests of future engineers and science educators. Interaction among planners and development progress were documented by written meeting records and reflections, emails, and records of planning stages and products. Analysis characterized interactions between engineers and educators and the resulting instructional changes. In spite of a strong interest in partners' topics and mutual goals, specialized language and professional cultural differences presented obstacles to understanding and development progress. Also described are the types of instructional changes reasonable to expect in initial development efforts.