Chaos in the classroom: Exposing gifted elementary school children to chaos and fractals

A unit of study for gifted 4th and 5th graders is described on the subject of mathematical periodicity and chaos and the underlying physical processes which produce these phenomena. A variety of hands-on experiments and the use of various data analysis tools and computer aids provide students with powerful raw material for their analysis, interpretation, and understanding. The concepts of simple periodic motion (e.g., a pendulum), complex superposition of motions (e.g., the vibrations in musical instruments), and chaotic sequences (e.g., stock prices) are covered, with numerous practical examples. Opportunities to involve related activities emphasizing language arts, history, and graphic art are included. The student response to the material is documented.     

Characterizing teacher attention to student thinking: A role for epistemological messages

Although research and policy suggest science and mathematics teachers should attend to their student's thinking during instruction, our field has inadequately defined what that means in relation to our ultimate goals for the practice. Here I present a theoretical argument that, in making their definitions, researchers should leverage the ways students understand such attention by characterizing teacher attention based on the epistemological messages it sends students about the nature of knowledge and learning in the classroom. Using data collected from high school science and mathematics teachers with a new video‐capture methodology, I present an analysis of variability in epistemological messages of teacher attention to illustrate work could unfold if we as researchers took up the theoretical claims made in this work. In doing so, I endeavor to draw the construct of epistemological messages into our collective conversations about teacher attention, and provide a starting point for our field to begin debating the most productive ways to study and unpack the epistemological messages we value in that teacher attention. I conclude by demonstrating the feasibility of using these messages to distinguish the types of teacher attention our field wants to develop and encourage in teacher education. © 2017 Wiley Periodicals, Inc. J Res Sci Teach 55: 94–120, 2018     

Rethinking Recommendations for Implementing Comprehensive School Physical Activity Programs: A Partnership Model

Recommended approaches to promoting children’s physical activity through schools call for physical education teachers to serve as champions for, and leaders of, Comprehensive School Physical Activity Programs (CSPAPs). Little evidence, however, exists to suggest that physical education teachers are ideally prepared or supported to assume CSPAP leadership roles. The purpose of this article is to consider expectations that must be met for physical education teachers to serve as central protagonists in CSPAP implementation efforts, and to propose a conceptual model aimed at increasing both effectiveness and sustainability of CSPAPs through key external-internal partnerships. Specifically, community-based participatory research, communities of practice, and service-learning are presented as possible strategies to expand the support system for growing and sustaining CSPAPs. In sum, this article offers some reasons for rethinking current recommendations for CSPAP implementation.