A procedure to obtain the initial amplitude and phase for the Krylov–Bogoliubov method

Using the Krylov–Bogoliubov method for obtaining analytical solutions to systems with small non-linearities, a procedure is employed to determine the initial amplitude and phase in terms of the initial displacement and velocity. Equations representing the time rate of change of amplitude and phase are used directly. Whether the corresponding linear equations of the non-linear system has purely imaginary, complex conjugate or real roots, the same procedure can be applied.An example is given which demonstrates the initial amplitude and phase change for various higher order approximations.     

Experienced teachers' informal learning: Learning activities and changes in behavior and cognition

In this study on 32 teachers' learning in an informal learning environment, we analyzed changes in conceptions and behavior regarding students' active and self-regulated learning (ASL), and relations with the teachers' learning activities. Few relations were found between observed changes in behavior and learning activities. Changes in conceptions appeared to correlate with the activities obtaining new ideas, experimenting with new methods, and reflecting on why certain teaching methods seem to be effective and others not. Only one teacher became more ASL-oriented in both behavior and conceptions. The apparent variation in teachers' informal learning should lead to differentiated support for teacher learning in the workplace.     

Teacher Education: A Focus on Action

The educational community has, in recent times, abandoned a quantitative approach to research on teaching, characterized by process-product research, for a focus on naturalistic inquiry and the use of qualitative research methods. Major changes in research directions are accompanied in time by an integration process, that is, attempts to assimilate new knowledge with an already existing knowledge base. Attempts to integrate process-product research on teaching with more recent work have been impeded by major assumptions in research paradigms that have made the two directions seeming antagonists in the pursuit of knowledge. This paper explores the potential of integrating the results of earlier research on teaching with recent work stemming from both naturalistic inquiry and theoretical work in cognitive science. Major directions and issues are examined for their compatibility and ability to contribute to a broader perspective of the teaching/leaming process and teacher education.     

Does high school quality matter? Evidence from admissions data

This paper examines the effect of attending elite private high school on college placement using admissions data from the most selective high school in a large metropolitan area. To overcome omitted variable bias, we limit the sample to admitted applicants and control directly for the scores assigned by admissions based on in-depth analyses of the applicants and their families. In addition, we control for a wide set of covariates including student and family characteristics and entrance exam scores. Results indicate that attending selective private high school rather than other public and private high schools causes students to attend more selective universities. Effects are driven by gains for girls and students from lower-income neighborhoods.     

A Place for Stupidity: Investigating Democratic Learning Spaces in the Diorama

This article explores the possibilities of the diorama medium as a method to investigate educational realities and ideals. Contemporary artistic examples of dioramas deconstruct traditional associations of the diorama as a form of explanatory storytelling and critically contest the problematic reproduction of existing hierarchies, which seem to occur when dioramas are used in museums and schools. In contemporary dioramas, the gaze of the spectator is instead invited to engage and contribute to multiple interpretations of spatial creations. The article explains how dioramas have been employed in a doctoral research project on artist teachers and democratic pedagogy and how making dioramas as a research method in arts‐based educational research has been adopted to engage in a dialogue with visitors to a contemporary gallery to collaboratively investigate the spatiality of democratic learning spaces.     

Teacher perceptions of a physical education statewide assessment program

A statewide program assessment was established to make positive change in physical education school programs in South Carolina. Reform efforts depend both on balancing accountability for change and teacher support for change (Odden &Anderson, 1986). The purpose of the study was to determine teacher perceptions of the South Carolina Physical Education Assessment Program and its effects across six related themes including: changes in teaching and learning, changes in curriculum and instruction, teacher awareness of the assessment program, teacher support for the program, work place conditions, and the advocacy role of the program. It was also the purpose of this study to determine if the survey responses were in any way related to teacher and school variables. The overall results of the study indicated positive change and support for the assessment program, supporting the viability of the standards, assessment, and accountability reform effort to positively impact physical education programs.     

Vibrant student voices: exploring effects of the use of clickers in large college courses

Teachers have begun using student response systems (SRSs) in an effort to enhance the learning process in higher education courses. Research providing detailed information about how interactive technologies affect students as they learn is crucial for professors who seek to improve teaching quality, attendance rates and student learning. This study investigates social, educational and emotional effects of the use of SRSs – clickers – at the University of Colorado at Boulder. Methods include participant observation, survey data from over 2000 students enrolled in three semesters of General Chemistry, and in‐depth interviews exploring the nature of student experiences with clickers. Findings suggest clickers significantly alter the social environment experienced by students as they learn. Clickers create learning environments characterized by greater activity, cooperation and conceptual application compared to traditional, lecture‐based instruction. Gender also influences whether students choose to work with peers during clicker‐prompted interaction. The qualitative analysis presented here extends upon themes identified in existing research on the effects of clickers for learning.