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     

Assessing the Impact of a Business Communication Simulation on Students' Self-Perceptions

This article examines whether participation in a business communication simulation significantly influences students' perceptions of their business communication behaviors. Results revealed several significant differences between students' pre- and post scores. Students reported significantly higher post scores in 4 of 5 of the examined categories, including message construction, message delivery, critical analysis, and collaboration. These findings suggest that participation in the simulation positively impacts students' estimations of their business communication competencies. Possible explanations and implications behind these findings are discussed. Future research directions are proposed.     

Play and Creativity: Developmental issues

Play and creativity have been linked in numerous ways. Theoretically, pretend play fosters the development of cognitive and affective processes that are important in the creative act. Russ's (1993) model of affect and creativity identified the major cognitive and affective processes involved in creativity and the relations among them, based on the research literature. Central to both play and creativity is divergent thinking. Both cognitive and affective processes in play have been related to divergent thinking in children. In a longitudinal study, quality of fantasy and imagination in play predicted divergent thinking over time. Divergent thinking itself was relatively stable over time. An important question is whether play can facilitate creativity. Play has been found to facilitate insight ability and divergent thinking. Studies have also shown that children can be taught to improve their play skills. Future research studies should: (i) investigate specific mechanisms that account for the relationship between play and creativity; (ii) develop play intervention techniques that improve play skills; and (iii) carry out longitudinal studies with large enough samples to enable the application of statistical procedures such as path analysis.