The evaluation from the program director's viewpoint

In considering the evaluation of the preceptorship and residency programs, our faculty were asked to react to specific dimensions and aspects of the studies. Viewpoints about these data were submitted in formal critiques which will be summarized only briefly here. A number of the comments were in response to specific questions which had been posed; other were spontaneous from the faculty.     

Using representations,decomposition, and approximations of practices to support prospective elementary mathematics teachers’ practice of organizing discussions

This paper examines a series of instructional activities that provide prospective elementary teachers with an opportunity to engage in one of the more difficult practices to learn within mathematics teaching—organizing a mathematical discussion. Within a mathematics methods course, representations and decomposition of practice built from the Five Practices framework (Smith and Stein in Five practices for orchestrating productive mathematics discussions. Corwin Press, Thousand Oaks, CA, 2011) were implemented and studied to examine how prospective elementary teachers set goals, selected and sequenced available student work, and planned questions within a mathematical discussion. We examined prospective elementary teachers’ strengths and weaknesses in these facets through an approximation of practice set in a lesson context familiar to the prospective elementary teachers. Our results demonstrated that although prospective elementary teachers set varying goals for a discussion, their pedagogical choices in planning their discussion tended to be consistent with the goals they have set. These results support the focused development of prospective elementary teachers’ goal setting as an implication for mathematics teacher educators.     

Scaffolding reflection and articulation of scientific explanations in a data-rich,project-based learning environment: An investigation of progress portfolio

In this study, we examined how learners developed scientific explanations about light with the assistance of various technology-based scaffolds. The study emphasis was on scaffolding processes of reflection and articulation. We used a content-neutral software program (Progress Portfolio) to create the instructional scaffolds. A qualitative research design was used to investigate two pairs of prospective teachers in a science content course in engineering. Our findings suggested that the computer-based scaffolds used in our study were useful to support articulation, reflection, and revision of explanations, when certain conditions were met. A major theme of our findings relates to interacting effects among learner characteristics, teacher coaching, software scaffolding design, and task characteristics. This material is based on work supported by the National Science Foundation under NSF REC 9980055, which was granted to the second author. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors would like to acknowledge Joe Taylor for his role in the design and implementation of the study.     

Effects of Active Learning on Enhancing Student Critical Thinking in an Undergraduate General Science Course

To enhance students’ critical thinking in an undergraduate general science course, we designed and implemented active learning modules by incorporating group-based learning with authentic tasks, scaffolding, and individual reports. This study examined the levels of critical thinking students exhibited in individual reports and the students’ critical thinking level change over time. Findings indicated that students’ average critical thinking level fell in the category of “developing”, but students’ scores on individual reports revealed a statistically significant increase. The study suggested that the active learning strategies employed in the study were useful to promote student critical thinking.     

Cognitive requirements for learning with open-ended learning environments

Open-ended learning environments (OELEs) use the capabilities of technology to provide students with opportunities to engage in authentic problem solving; generate, test, and revise hypotheses; explore and manipulate concepts; and reflect on what they know. By design, such environments require sophisticated levels of cognitive functioning. The purpose of this paper is to critically analyze assumptions underlying learner-centered, technology-based environments in light of how well learners appear to meet the cognitive demands for engaging them. Implications for design include the following considerations: (a) direct learner attention to key variables and visual cues; (b) prompt and guide connections to prior knowledge; and (c) provide explicit scaffolding of metacognition and teaching-learning strategies.     

Alternate Conceptions of Preservice Elementary Teachers: The Itakura Method

In this study, we determined the effectiveness of the inquiry-based Itakura method for mediating alternate conceptions of preservice elementary teachers (N = 38) in an integrated mathematics, science, and technology methods course. We investigated alternate conceptions in the expansion of solids due to heating. There was a significant increase in participants’ immediate learning gains after participating in the Itakura method. Retention data was gathered after 1, 2, and 3 months. After 3 months, retention levels dropped slightly, but not significantly. Responses revealed that the majority of the participants did not revert back to alternate conceptions after 3 months.