The predictive power of intuitive rules: A critical analysis of the impact of `more A–more B' and `same A–same B'

In the international community of mathematics and science educators the intuitive rules theory developed by the Israeli researchers Tirosh and Stavy receives much attention. According to this theory, students' responses to a variety of mathematical and scientific tasks can be explained in terms of their application of some common intuitive rules. Two major intuitive rules are manifested in comparison tasks: ‘More A—more B’ and ‘Same A—same B’. In this paper, we address two important questions for which the existing literature on intuitive rules does not provide a convincing research-based answer: (1) are the reasoning processes of students who respond in line with a given intuitive rule actually affected by that rule or by essentially other misconceptions (leading to the same answer), and (2) are individual students consistent in their choice of one of the intuitive rules when confronted with different, conceptually unrelated tasks? A test consisting of five comparison problems from different mathematical subdomains was administered collectively to 172 Flemish students from Grades 10 to 12. An analysis of students' written calculations and justifications suggested that the students were considerably less affected by the intuitive rules than their multiple-choice answers actually suggested. Instead, essentially different misconceptions and errors were found. With respect to the issue of individual consistency, we found that students who made many errors did not answer systematically in line with one of the two intuitive rules.     

The Place of Analogies in Science Education

The role of analogy in learning has been extensively researched in science education. The core purpose of the use of analogy as a strategy deployed in teaching is that of developing understanding of abstract phenomena from concrete reference. Whilst such an objective is desirable, it is predicated on the assumption that there is an agreed interpretation of the particular phenomena under scrutiny to which all subscribe. This paper argues that such a position is untenable and that the research enterprise should shift focus from determining the effectiveness of analogy in cognitive transfer from base to target domains towards the recognition of the role of analogy in generating engagement in the learning process. In such a paradigm, meaning in science for both learner and teacher is derived from discourse rather than being independent of it. The discussion draws on hermeneutic philosophy to provide a theoretical framework to illustrate the implications for teacher subject and pedagogical knowledge.     

Schedule-induced behavior in rats: Pellets versus powder

Food-deprived rats develop polydipsia on an intermittent schedule (fixed time 60 sec) of food pellet delivery, but not on an identical schedule of food powder delivery. This result was demonstrated with separate groups receiving each type of food and was replicated using rats as their own controls. Powdered food not only prevented the development of polydipsia, but it abruptly terminated ongoing polydipsia in rats that were switched from the scheduled delivery of pellets to powder. Ethological analysis of the behavior showed that the rats receiving powder were not engaging excessively in some behavior other than drinking. After discounting several factors, we concluded that the amount of oral activity associated with feeding, which occurred immediately after food delivery, was reciprocally related to the level of drinking.     

Notes and News

This article explores mentoring within the context of post‐16 working class urban youth and their transition from compulsory education to the labour market. The difficulties inherent in such a transition in a post industrial context are highlighted utilising the concepts of risk, individualisation and liminality. The authors reflect upon their own experiences in initial teacher education and draw parallels between mentoring in this area and mentoring urban youth. They consider a model of cognitive mentoring for incorporation into vocational education and training programmes and develop a set of guiding principles for such programmes which are intended to empower young people in the process of navigating and negotiating their routes into flexible and fast changing labour markets.     

Music and Music People

Jay Caress Hank Willimns: Country Musics Tragic King (Briarcliff Manor, N.Y.; Stein & Day, 1979—S10.95)

Dave Marsh Born to Run: The Bruce Springsteen. Story (Garden City r. N.Y.: Doubleday/Dolphin Books, l979—$7.75,paper.)

The Music Makera (New York: Harry N. Abrams, l979-$35.00)

Yehudi Menuhin and Curtis W. Davis. The Music of Man (Toronto and New York: Methuen, 1979 —$24,95)

Gregory Allen Munford Munford's Simple Guide to Classical Music (Chicago: Chicago Review Press (215 Ohio St., 60610), . 1979– - $4.95, paper)

John Storm Roberts The Latin Tinge: The Impact of Latin America Music on the United States (New York: Oxford University Press,.1979–$12.95)     

Winter Reference-Land (Blame It on the Lake-Effect)

[This column is a collection of stories of one reference librarian’s dialogues with a host of patrons, which occur over a variety of media, including Web chat, phone, face-to-face, and immersive environments. Some names, places, times, and events have been changed to preserve anonymity.]     

Stanton's “Solitude of Self” as Public Confession

Elizabeth Cady Stanton opened her now famous “Solitude of Self” by asserting her desire to make manifest the “individuality of each human soul.” Using Stanton's attempt to display the human soul as a case study, I consider in this essay the capacities of language to disclose the self. I argue that, for Stanton, self-disclosure is fundamentally performative: The “Solitude of Self” evokes the “inner-being we call ourself” through a reliance on, and a subsequent violation of, a distinctively narrative logic. As this violation takes from the audience the sense of order that the narrative had theretofore provided, it puts the audience in a position where they, now shorn of narrative and the order it provided, can experience firsthand the solitude of self.     

Growth,functional capacities and motivation for achievement and competitiveness in youth basketball: an interdisciplinary approach

The interaction of multiple influences on the path to sport success is not yet fully understood by sport scientists. In this study, we examined variation in body size, functional capacities and motivation for achievement, competitiveness and deliberate practice of youth basketball players associated with differences in biological maturity status, chronological age and years of training experience. Reflecting the importance of interactive effects, we examined the relationships between the psychological variables and functional capacities. Fifty-eight male basketball players aged 9.5 to 15.5 years were considered. Variables included chronological age, estimated age at peak height velocity, stature, body mass and sitting height by anthropometry; the Work and Family Orientation and Deliberate Practice Motivation Questionnaires were also used. Finally, the Line Drill test and Yo-Yo Intermittent Recovery level 1 (Yo-Yo IR1) tests were used as functional capacities indicators for basketball. Variance components models derived from series of multilevel linear regression models revealed a substantial variation by maturity status for body size, functional capacities indicators, mastery and will to excel. The influence of estimated maturity status on mastery and will to excel was independent of age and years of experience. In contrast, no relationships were observed between psychological variables and functional capacities indicators. We conclude that growth-related changes are relevant to understanding players´ motivations for achievement, competitiveness and deliberate practice. This should be of interest to those involved in the selection and development of youth basketball players.