STUDENTS' UNDERSTANDING OF ALGEBRAIC NOTATION: 11–15

Research studies have found that the majority of students up to age 15 seem unable to interpret algebraic letters as generalised numbers or even as specific unknowns. Instead, they ignore the letters, replace them with numerical values, or regard them as shorthand names. The principal explanation given in the literature has been a general link to levels of cognitive development. In this paper we present evidence for specific origins of misinterpretation that have been overlooked in the literature, and which may or may not be associated with cognitive level. These origins are: intuitive assumptions and pragmatic reasoning about a new notation, analogies with familiar symbol systems, interference from new learning in mathematics, and the effects of misleading teaching materials. Recognition of these origins of misunderstanding is necessary for improving the teaching of algebra.     

The Importance of Making the Well-Being of Children in Poverty a Priority

Hurricane Katrina exposed to the world the side of America that is often ignored or forgotten—the side of America where people live in poverty and struggle to meet their most basic needs. This article focuses primarily on children in Mississippi and highlights the effect that poverty has on children’s well-being at an early age and future academic success. It also provides evidence for the importance of funding high-quality pre-k programs and parental training to ensure they begin the process of preparing their children for success, not only in Mississippi but in the other states that are leaving their children behind. Finally, with the reauthorization of No Child Left Behind in 2007, recommendations are made for refocusing the premise of the law from accountability and high stakes testing to meeting the needs of all children so they can truly be successful in school.     

IS IT WORTH USING CAS FOR SYMBOLIC ALGEBRA MANIPULATION IN THE MIDDLE SECONDARY YEARS? SOME TEACHERS’ VIEWS

The use of Computer Algebra Systems (CAS) in years 9 and 10 classrooms as a tool to support learning or in preparation for senior secondary mathematics is controversial. This paper presents an analysis of the positive and negative aspects of using CAS identified in the literature related to these year levels, along with the perceptions of 12 experienced secondary teachers who were working with years 9 and 10 students. The literature review shows that CAS is valued for calculation and manipulation capabilities, the option of alternative representations, the opportunity for systematic exploration and for prompting rich discussion. However, the technical overhead, initial workload for the teacher and unresolved questions about the perceived relative contribution of machine and by-hand work to learning currently pose obstacles to teaching with CAS in the middle secondary years. The teachers who contributed data to this study perceived that using CAS in their teaching is, on balance, worth the effort. However, they believed that CAS is of most benefit to their high ability students and may present an obstacle to their low ability students’ learning of mathematics.     

Modes of reasoning in explanations in Australian eighth-grade mathematics textbooks

Understanding that mathematics is founded on reasoning and is not just a collection of rules to apply is an important message to convey to students. Here we examined the reasoning presented in seven topics in nine Australian eighth-grade textbooks. Focusing on explanatory text that introduced new mathematical rules or relationships, we classified explanations according to the mode of reasoning used. Seven modes were identified, making a classification scheme which both refined and extended previous schemes. Most textbooks provided explanations for most topics rather than presenting “rules without reasons” but the main purpose appeared to be rule derivation or justification in preparation for practise exercises, rather than using explanations as thinking tools. Textbooks generally did not distinguish between the legitimacies of deductive and other modes of reasoning.     

Assessing the Interpersonal Communication Competence of Vocational Teachers: contemporary issues and dilemmas

In recent months, certain major policy documents have highlighted the importance of facilitating the development of interpersonal communication competence in vocational teachers. These documents include the provocative Australian Education Council Review Committee Report (Finn Report) which lists interpersonal and personal development as one of six key competency areas. As new vocational teacher education courses like the Bachelor of Teaching are beginning to be developed on a national scale within Australia, it is appropriate to cater for the development of interpersonal communication competence in vocational teacher education curricula. Among the more vexatious questions which need to be addressed is the determination of whether vocational teachers can demonstrate interpersonal communication competence, particularly in relation to their professional roles. This paper examines current scientific literature on communication competence. Since competence implies more than skill alone, consideration is also given in this paper to ways of identifying vocational teachers’ understanding of interpersonal communication processes and their importance in relation to the facilitation of learning in the post‐secondary vocational education sector. Such issues as assessing interpersonal communication competence in teacher‐learner relationships by means of direct observation, video‐based structured reflection, and self‐analysis are identified for further study. Finally, implications are drawn for vocational teacher education curricula currently being developed within Australia.     

Becoming a Supervisor: Doctoral Student Perceptions of the Training Experience

Thirteen doctoral students, 7 Caucasians and 6 Hispanics, participated over 3 semesters of practicum/internship in a qualitative research project exploring the experience of becoming supervisors. A follow‐up study with 5 different doctoral students confirmed and refined findings 1½ years later. The research team of 2 female faculty members and 1 male research assistant (the authors) identified 6 themes emerging from individual and group interviews with supervisors‐in‐training regarding the process of becoming a supervisor: (a) learning, (b) supervisee growth, (c) individual uniqueness, (d) reflection, (e) connections, and (f) putting it all together.     

Teaching problem-solving skills to nuclear engineering students

Problem solving is an essential skill for nuclear engineering graduates entering the workforce. Training in qualitative and quantitative aspects of problem solving allows students to conceptualise and execute solutions to complex problems. Solutions to problems in high consequence fields of study such as nuclear engineering require rapid and accurate analysis of the problems, design of solutions (focusing on public safety, environmental stewardship and ethics), solution execution and monitoring results. A three-month course in problem solving, modelling and simulation was designed and a collaborative approach was undertaken with instructors from both industry and academia. Training was optimised for the laptop-based pedagogy, which provided unique advantages for a course that includes modelling and simulation components. The concepts and tools learned as part of the training were observed to be utilised throughout the duration of student university studies and interviews with students who have entered the workforce indicate that the approaches learned and practised are retained long term.     

International trends in health science librarianship: part 1 - the English speaking world

This is the second in a series of articles exploring international trends in health science librarianship in the first decade of the 21st century. The invited authors were asked to reflect on developments in their country - viz. Australia, Canada, New Zealand and the United States. Future issues will track trends in Northern Europe, the Nordic countries, Southern Europe and Latin America. JM.     

Foreign communications

JAPANESE CULTURE AND COMMUNICATION: CRITICAL CULTURAL ANALYSIS by Ray T. Donahue (Lanham, MD: University Press of America, 1998—$59.00/39.50, ISBN 0–7618–1248–2 hard, 0–7618–1249–0 paper, 377 pp., notes, references, index)

STATISTICAL YEARBOOK: FILM, TELEVISION, VIDEO AND NEW MEDIA IN EUROPE: 1999 EDITION by the European Audiovisual Observatory (Strasbourg, France: European Audiovisual Observatory, 1999— 900ff or about $160, paper, ISBN 92–871–3885–0, 415 pp., tables, charts, notes, bibliography)

MODERN HISTORY OF INDIAN PRESS by Sunit Ghosh (New Delhi: Cosmo Publications, 1998—no price available, ISBN 81–7020–697–9, 394 pp., index)

ASIAN COMMUNICATION HANDBOOK edited by Anura Goonasekera and Duncan Holaday (Singapore: Asian Media Information and Communication Centre and School of Communication Studies, Nanyang Technological University, 1998—$65.00, ISBN 9971–905–65–5, 446 pp.)

PUBLIC PURPOSES IN BROADCASTING: FUNDING THE BBC edited by Andrew Graham (Luton: University of Luton Press, 1999—£10.95, paper, ISBN 1–86020–561–5, 168 pp., tables, index)

TELECOMMUNICATIONS IN AFRICA edited by Eli M. Noam (New York: Oxford University Press “Global Communications,”; 1999—$75.00, ISBN 0–19–510201–0, 306 pp., tables, chapter bibliographies, index)

LIBERALIZING THE EUROPEAN MEDIA: POLITICS REGULATION AND THE PUBLIC SPHERE by Shalini Venturelli (Oxford and New York: Clarendon Press, 1998—£50.00, ISBN 0–19–823379–5, 316 pp., index, bibliography)