Identification with early primary school mathematics: a home–school activity theory conceptualisation and methodology

This paper offers a new methodology for researching children’s identifications in the early primary phase that makes visible the ‘seeds’ of academic dis-/identities, which typically flower later in adolescence. It focuses on the ‘case’ of mathematical identifications (MI) to exemplify how children come to dis/identify from the academic curriculum more broadly. MI is defined as any act where cultural representations of being mathematical are reflected back on to the child by others or the self, as they engage in mathematical activity. Data are presented concerning Bilal and Nico to show identifications in a hybrid home–school mathematics activity that contradict or ‘align’ with MI elicited in school-mathematical activity. It is argued that contradictions between these MIs indicate ‘potential’ development towards disengagement (the case of Nico). This contrasts with home–school alignment involving Bilal’s ‘schoolified’ home activities, which (re)validate school-mathematical activity. It is further argued that this conceptual innovation offers potential for investigating identity in early childhood.     

In Pursuit of Knowledge: Preschoolers Expect Agents to Weigh Information Gain and Information Cost When Deciding Whether to Explore

When deciding whether to explore, agents must consider both their need for information and its cost. Do children recognize that exploration reflects a trade-off between action costs and expected information gain, inferring epistemic states accordingly? In two experiments, 4- and 5-year-olds (N = 144; of diverse race and ethnicity) judge that an agent who refuses to obtain low-cost information must have already known it, and an agent who incurs a greater cost to gain information must have a greater epistemic desire. Two control studies suggest that these findings cannot be explained by low-level associations between competence and knowledge. Our results suggest that preschoolers’ theory of mind includes expectations about how costs interact with epistemic desires and states to produce exploratory action.     

Case-based reasoning and instructional design: Using stories to support problem solving

With an increased emphasis on problem solving and problem-based learning in the instructional design field, new methods for task analysis and models for designing instruction are needed. An important methodology for both entails the elicitation, analysis, and inclusion of stories as a primary form of instructional support while learning to solve problems. Stories are the most natural and powerful formalism for storing and describing experiential knowledge that is essential to problem solving. The rationale and means for analyzing, organizing, and presenting stories to support problem solving are defined by case-based reasoning. Problems are solved by retrieving similar past experiences in the form of stories and applying the lessons learned from those stories to the new problems. In this paper, after justifying the use of stories as instructional supports, we describe methods for eliciting, indexing, and making stories available as instructional support for learning to solve problems.     

Positive and negative aspects of relationship quality and unprotected sex among young women

The aim of this study was to examine both positive and negative aspects of relationship quality in relation to condom use. Sexually active young women aged 14–18 years (n = 111; 34% non-white) were recruited from community clinics and schools in the Midwest USA and provided data via an online survey. The number of unprotected sex acts in the past month with the most recent male partner was regressed on relationship quality with that partner, adjusting for demographics and other characteristics. Negative relationship quality was associated with a greater number of unprotected sex acts among women reporting a low level of positive relationship quality and among women taking hormonal/IUD contraception. Positive relationship quality was associated with unprotected sex among women who reported multiple partners in the past month. Both positive and negative aspects of relationship quality may confer risk for unprotected sex. This risk appears to be modified by patterns of contraceptive use and other sexual behaviours. Health professionals and sexual health educators may be more effective in promoting condom use if they ask questions about both positive and negative aspects of young people’s relationship quality and tailor their conversations based on the responses received.     

Progress in the inductive strategy-use of children from different ethnic backgrounds: a study employing dynamic testing

This study investigated potential differences in inductive behavioural and verbal strategy-use between children (aged 6–8 years) from indigenous and non-indigenous backgrounds. This was effected by the use of an electronic device that could present a series of tasks, offer scaffolded assistance and record children’s responses. Children from non-indigenous ethnic backgrounds, starting at a lower level, profited as much from dynamic testing as did indigenous children but were unable to progress to the standard of this latter group. Irrespective of ethnic group, dynamic testing resulted in greater accuracy, fewer corrections, and reduced trial-and-error behaviour than repeated practice. Improvements in strategy-use were noted at both the group and individual level. After dynamic training, children from both ethnic groups showed a superior capacity for inductive reasoning although indigenous children subsequently used more inductive strategies. The study revealed individual differences between and within different ethnic groups and variability in the sorts of help required and subsequent strategy progression paths.     

Two instructional aids to optimise processing and learning from instructional explanations

Although instructional explanations are commonly used to introduce learners to new learning content, previous studies have often shown that their effects on learning outcomes are minimal. This failure might partly be due to mental passivity of the learners while processing introductory explanations and to a lack of opportunity to revise potential misunderstandings after working on introductory explanations. Against this background, we provided learners with two instructional support measures to optimise the introduction of new principles and concepts by providing instructional explanations in the domain of management theory: (a) prompts designed to induce inferences that are focused on the central content of the explanations, and (b) remedial explanations that are adapted to the learners’ knowledge gaps. We tested their effects in a 2 × 2 factorial experimental design with the following factors: (a) prompts designed to induce focused processing (with vs. without), and (b) remedial explanations (adapted vs. random). The participants consisted of 80 psychology students. We found that the prompts fostered both the share of deep-oriented processing and the acquisition of conceptual knowledge. The beneficial effect of prompts on conceptual knowledge was mediated by the number of inferences that learners generated in response to the prompts. In addition, we found that prompts also fostered the instructional efficiency of providing instructional explanations. The provision of adapted remedial explanations, however, fostered neither deep-oriented processing nor the acquisition of conceptual knowledge. We conclude that prompts designed to induce focused processing can foster deep-oriented processing as well as both the effectiveness and efficiency of learning from instructional explanations.     

Teachers' beliefs about student motivation: similarities and differences across cultures

The opinions of 108 teachers, about what influenced adolescent students' motivation and de-motivation, were sought through interview, at sites in each of the UK, the USA and Russia. Teachers' opinions in all three milieux were found to concur—on the positive effects of: parental interest and involvement and parental dissatisfaction; partnership with parents; teacher-student relations; symbolic and material rewards; grades and marks; success in learning—and on the negative effects of some leisure pursuits and of potential post-school unemployment. However, the meaning to be attached to such concurrence is problematised by contextualising apparent agreement within significantly differing local arrangements for, and expectations of: partnership with parents; continuity and duration of teacher-student-parent relations; the development of teachers' professional learning from experience; the deployment of praise and criticism; the pedagogical use of assessment; and the deployment of out-of-school time. Amplifying effects of peer and community subcultures, on the influence of potential unemployment, were also found to differ between contexts. It is concluded that whilst points of concurrence in teachers' opinions are of undoubted interest for any general theory of motivation to learn in school, methods which explore the conceptual system and semantic structure of the background beliefs which inform the expressed opinions that respondents express are urgently needed. The paper argues that we need to be able to model the underlying expectations and constraints which lend structure and priority to the lived experience of being schooled.