The Relationship of Classroom Organisation to Cross‐age and Cross‐sex Friendships

The friendship nominations of 40 standard 2 children (aged 8‐10 years), 20 in multi‐level and 20 in single‐level classes, were examined. Children nominated friends, including age and whether they went to the same school, by writing down friends’ names in class and stating them verbally in an interview situation. Children were asked in the interview about their best friends, their views on cross‐sex and cross‐age friendships, and what friends do together. Results showed that 65% of interview‐nominated and 56% of class‐nominated friends were of the same age, while 91% of interview‐nominated and 81% of class‐nominated friends were of the same sex. Children from multi‐level classes had significantly more different aged friends on class and interview measures, and more different sexed friends on the class measure, than children from single‐level classes. Children's out‐of‐school friendships were more likely to be with cross‐age or cross‐sex children than were their in‐school friendships. Children tended to give positive reasons for playing with different aged friends, such as learning from more skilled older friends and feeling responsible when nurturing younger children, but few positive reasons were given for playing with opposite sex friends. Most children expressed a lack of interest or even a dislike for the activities and characteristics of the opposite sex.     

Critical alignment in inquiry-based practice in developing mathematics teaching

This paper reports a case study from a mathematics teaching developmental research project. The theoretical foundation for the research comprises communities of inquiry and critical alignment, with which the developmental methodology has a particular synergy. This synergy is the main focus of the paper. The paper elaborates theoretical and methodological antecedents of the project and traces these through a case study of developments in the practices of one upper secondary school team and a group of university didacticians (mathematics teacher educators and researchers) during the first year of the project. The case study reveals that critical alignment and inquiry (necessarily) bring uncertainty and risk, and foster tensions within the teachers’ practice and between the practices of teachers and didacticians. In exposing these uncertainties, risks and tensions, the paper points to their value for the learning and knowledge gained by participants.     

Numerically restricted food intake in the rat in a free-feeding situation

Rats were trained to leave an array of food after they had consumed a fixed number (three, four, or five) of food items. This discrimination remained in effect despite a shift from 45-mg Noyes pellets to larger and irregularly sized sunflower seeds. The present demonstration replicates work first reported 50 years ago by Otto Koehler and his associates (e.g., Marold, 1939; see also Koehler, 1950), who used avian subjects, and, like those studies, it involved both positive and negative social reinforcement. The present procedure provided a rare instance in which numerical control was exerted over behavior that was primarily consummatory in nature. The results are viewed in terms of the wider literature of numerical competence in animals and are discussed in terms of a numerical process known asprotocounting (Davis & P’erusse, 1988b).