Particles in a Box with One Sticky Wall: From ODE to PDE

Abstract

We present noncompetitive adsorption as “particles in a box with one sticky wall.” We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE’s solution imperfectly fits the simulation’s data. This leads to the diffusion partial differential equation. We show how to determine the diffusion constant from theory; how to determine how many terms in the Fourier series solution need to be summed; and the use of nonlinear regression. As a bonus, the physics of the model will lead us to a series representation of π.     

Teacher self-assessment of evidence-based classroom practices: preliminary findings across primary,intermediate and secondary level teachers

The limited implementation of evidence-based classroom practices and ways to provide effective professional development to address this challenge remain enduring concerns in education. Despite these concerns, there exists a well-established research literature on evidence-based practices for effective classroom management and instructional practices. One identified area of need is research investigating the extent that different classroom practices are more or less important across school and grade levels. The current study examined results from 612 general education teachers across school levels (323 primary, 208 intermediate, 81 secondary) who completed an on-line self-assessment of their use of evidence-based classroom practices. Statistical analysis found significant differences in teachers’ self-reported use of several evidence-based classroom practices across school levels (primary, intermediate, secondary). Implications are presented for using teacher self-assessment to inform professional development in schools.     

A Model of School Counseling Supervision: The Goals,Functions, Roles,and Systems Model

The authors outline the Goals, Functions, Roles, and Systems Model (GFRS), a school counseling—specific model for supervising school counselors‐in‐training (SCITs). The GFRS was created as a guide for assisting in supervising and preparing SCITs for the multifaceted tasks they will undertake in their internships and careers. The components of this model are described within the context of the systems influencing supervision of SCITs. The GFRS is detailed to illustrate how it meets the specific needs of school counseling supervision. Examples are included of the GFRS when applied in supervision.     

Electronic Course Surveys: Does automating feedback and reporting give better results?

This paper discusses an electronic course survey system designed to support evaluation of a modular programme in management taught through distance education. The scale and communication issues raised by distance education, when compounded by a complex rolling modular programme, make conventional evaluation complicated, slow and expensive. To overcome these problems, an automated evaluation process was introduced, partly based on web-based surveying, but significantly emphasising the reporting process and allowing performance indicators and complex analyses to be embedded in high quality word-processed reports, that can be quickly and easily generated after each presentation of a module. The paper discusses the system and the impact that it has had on the evaluation process, before looking to future opportunities for developments in this field, and discussing some of the implications - both expected and unanticipated - that have come out of using automation in the evaluation process.     

Addressing 21st-century crises through children’s literature: picturebooks as partners for teacher educators

ABSTRACT

Teacher educators might consider using high-quality picturebooks as partners to help teacher candidates understand and navigate today’s painful world realities. From a critical perspective, these books also have the potential to reflect and shape empathy and action in regard to these difficult situations. This piece includes a rationale for using picturebooks to address human crises, findings related to a study of 21st-century representations of crises in picturebooks, and implications for sharing these books as pedagogical partners to engage with teacher candidates. To this end, we conducted a content analysis of recent 21st-century fictional picturebooks depicting human crises. Topics related to refugee status, poverty, homelessness, and hunger were analyzed to reveal common themes across these books related to persistence, courage, caring, and hope. Teacher educators who are eager to address 21st-century disasters, many of which are presented in sensitive and accessible ways in recent touchstone picturebooks, can find a ready and capable partner in these powerful picturebooks to help readers understand and navigate these human crises.     

Central-place foraging by rats on the radial maze: The effects of patch size,food distribution,and travel time

Rats foraged on a four-arm radial maze with one, two, three, and four food items (0.65.g pieces of cheese) placed on different arms (patches) of the maze. In two experiments, the hypothesis was tested that rats should carry food to the center of the maze more often when a patch contains one food item than when it contains multiple food items. Support for this prediction was found when the tendency to carry initial items encountered in patches was compared among the different sized patches. However, a further observation failed to support the hypothesis: Food carrying declined from first to last item encountered in multiple-item patches with clustered food items. Experiment 1 revealed that food carrying was reduced when travel time was increased by barriers placed at arm entrances. Both Experiments 1 and 2 indicated that the tendency for rats to carry food to the center of the radial maze increased as the distance of food encountered on an arm increased from the center. In both experiments, some rats dealt with the problem of multiple items by resorting to multiple-item loading, and some rats carried food items from the end of an arm to a point on the arm nearer the center for consumption.     

Young Children Understand That Looking Leads to Knowing (So Long as They Are Looking into a Single Barrel)

3 experiments were conducted to investigate the claim made by Wimmer, Hogrefe, and Perner that 3-4-year-old children do not understand that people gain knowledge about something by looking at it. The first experiment involved a simple forced-choice procedure in which children had to judge which of 2 assistants knew what was inside a box when one of the assistants had looked inside and the other had lifted it up. In this experiment, the children did realize that the assistant who had looked in the box knew its contents. The second experiment followed the Wimmer et al. procedure, but with a simpler question form. The children were just asked to state whether someone knew what was in the box. Again, the children were able to work out that a person who had looked in a box knew what was inside it. In the third experiment, a direct comparison was made between the simpler question and the more complex, double-barreled question asked by Wimmer et al. The children found the more complex question considerably harder. The results of these experiments suggest that, in contrast to the claims made by Wimmer et al., 3- and 4-year-old children do understand that looking leads to knowing, and that their difficulty in the Wimmer et al. study was mainly with the form of the question that they were asked.     

International researcher mobility and knowledge transfer in the social sciences and humanities

ABSTRACT

This article explores knowledge outcomes of international researcher mobility in the social sciences and humanities. Looking in particular at international experiences of longer durations in the careers of European PhD graduates, it proposes a threefold analytical typology for understanding the links between the modes, durations, and outcomes of this mobility in terms of the exchange of codified knowledge; the sharing of more tacit knowledge practices; and the development of a cosmopolitan identity. The findings suggest that, under the right conditions, there can be an important and transformative value to longer stays, which can lead to enduring outcomes in terms of knowledge production and innovation and the spatially distributed networks that sustain it.     

Impact of the Good Behavior Game on special education teachers

This study tested effects of a program that offers teachers universal classroom management strategies, on teachers’ burnout symptoms and self-efficacy, and their teaching behaviors. Data were collected from 147 teachers (mean age = 38.4 years, SD = 10.8) in 15 special secondary education schools for students with emotional and behavioral problems, at the start and end of the school year. Schools were randomly assigned to the experimental condition or a care-as-usual condition. Results show that the program impacted beneficially on self-reported levels of emotional exhaustion, and self-efficacy in engaging students and in classroom management, but not on teaching behaviors. Implications of this study for the professional development of teachers in special education and research are discussed.     

Living and learning as an international postgraduate student at a Midlands university

This paper investigates the views of 20 full-time international postgraduate students, many of whom were Chinese, on living, learning and becoming successful students at one university in a multicultural city in the Midlands of England. The qualitative study built on findings from the International Students’ Barometer (ISB) survey for the university, in that it seeks to understand how students’ experience of context (living) interacted with their experience of learning in building their identities as successful learners. Student participants were sampled opportunistically within a purposive framework. Data was collected through audio-recorded individual semi-structured interviews, using as a stimulus participant-constructed concept maps of their perceptions of learning in the university and living in the city. Interview data were transcribed and analysed thematically. The main findings showed that participants enjoyed living in a city with an international culture, although some found it strange initially because they encountered different styles of life and food, albeit including some that they enjoyed at home. They welcomed studying at a university with high international prestige, a wide range of excellent facilities and generally approachable tutors but were shocked by having to undertake unfamiliar styles of independent learning with brief teaching hours. They perceived culture shock as transitional, which declined as they made friends, often with co-linguists, and became familiar with life in the city, work in the university and the extensive support of tutors.