What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems

School students of all ages, including those who subsequently become teachers, have limited experience posing their own mathematical problems. Yet problem posing, both as an act of mathematical inquiry and of mathematics teaching, is part of the mathematics education reform vision that seeks to promote mathematics as an worthy intellectual activity. In this study, the authors explored the problem-posing behavior of elementary prospective teachers, which entailed analyzing the kinds of problems they posed as a result of two interventions. The interventions were designed to probe the effects of (a) exploration of a mathematical situation as a precursor to mathematical problem posing, and (b) development of aesthetic criteria to judge the mathematical quality of the problems posed. Results show that both interventions led to improved problem posing and mathematically richer understandings of what makes a problem ‘good.’     

In Quest of Practical Communication

The purpose of this article is to present a tongue-in-cheek look at physical education language. Upon examining the language and terminology used in physical education and research literature, the authors have developed lists of commonly used physical education terminology and explained how to use the lists to make scholarly or researchsounding sentences. The subtle message of the article is “Stop trying to impress. Speak and write to be understood.”     

Using Cloud-Based Software to Build an Interlibrary Loan Survey Databank

As an assignment for the Reference and User Services Association and as part of the American Library Association Emerging Leaders Program, the authors created a databank to house the results of a large-scale interlibrary loan staffing survey. After examining the pros and cons of several software solutions, the authors decided to use a Web-based database product, Dabble DB. The paper discusses the scope, outcomes, and value of the Reference and User Services Association interlibrary loan survey, the development of the authors’ project plan, and recommendations for the use of cloud-based database products in library operations.     

TEACHING BEHAVIOR QUESTIONNAIRE: VERIFYING FACTOR STRUCTURE AND INVESTIGATING DEPRESSIVE SYMPTOMS IN CATHOLIC MIDDLE AND HIGH SCHOOLS

Teaching behavior impacts student psychopathology. This study explored the associations between teaching behavior types and depressive symptoms in students. The Teaching Behavior Questionnaire (TBQ) and the Center for Epidemiological Studies Depression Scale (CES‐D) were completed by 763 middle and 976 high school students from private Catholic schools. In the middle school sample, a confirmatory factor analysis confirmed the four‐factor structure of the TBQ previously found in public high schools. As predicted, a two‐level hierarchical linear model (HLM) analysis with the high school sample found that only the Negative Teaching Behavior scale of the TBQ was positively related to CES‐D scores, (p < .05). A separate two‐level HLM analysis with middle school students found the Instructional Behavior scale was negatively related to CES‐D scores (p < .05) and the Organizational Behavior scale was positively related to the CES‐D scores (p < .01). Implications of the findings for school personnel are discussed.     

Improving pre-laboratory preparation of first year university chemistry students

This study uses an action research approach to investigate how different modes of pre-laboratory preparation contribute towards a fruitful laboratory experience for first year students on an access programme. We considered the experience to be fruitful if the students successfully acquired procedural understanding, communicative competence and were able to apply the conceptual understanding to make the purpose of the labs meaningful. A group of students was observed by participant observers during 1996. Data was gathered during laboratory sessions and from written pre-laboratory work. These data were analysed and changes were instituted in the running and conceptualization of the laboratory in the subsequent year. A group of students was again observed and data collected. Two important factors emerged from the analysis of the data. One finding was the importance of adequate student preparation for the laboratories, regardless of the mode of preparation employed. Another was that the ability to prepare depended on the conceptual and procedural understanding of the laboratory as a whole. Preparedness is also important if conceptual benefit is to be obtained from the practical experience.