Exercising sociomathematical norms in classroom discourse about data representation : insights from one case study of a grade 6 lesson in Indonesia

This paper examines a research study to foster mathematical discourse about data representations among Indonesian students. It was situated in the context of implementing an Indonesian version of Realistic Mathematics Education, labelled as PMRI, in primary schools. A case study of one lesson involving Grade 6 students on the choice of data representations in Yogyakarta will be discussed. The analysis focused on the enacted social norms and sociomathematical norms during a wholeclass discussion and their impacts on students’ knowledge of data representations. The need for constant effort to enact these norms in classroom mathematical discourse is highlighted.

Negations generated by bounded lattices t-norms

From the birth of fuzzy sets theory, several extensions have been proposed changing the possible membership values. Since fuzzy connectives such as t-norms and negations have an important role in theoretical as well as applied fuzzy logics, these connectives have been adapted for these generalized frameworks. Perhaps, an extension of fuzzy logic which generalizes the remaining extensions, proposed by Joseph Goguen in 1967, is to consider arbitrary bounded lattices for the values of the membership degrees. In this paper we extend the usual way of constructing fuzzy negations from t-norms for the bounded lattice t-norms and prove some properties of this construction.

Conceptual overlap between moral norms and anticipated regret in the prediction of intention: implications for theory of planned behaviour research

Moral norms and anticipated regret are widely used extensions to the theory of planned behaviour, yet there is some evidence to suggest that these constructs may conceptually overlap as predictors of intention. Two health-related behaviours with distinct moral implications (Study 1: organ donation registration, N = 352 and Study 2: condom usage, N = 1815) were therefore examined to ascertain whether moral norms and anticipated regret are indeed conceptually distinct. While evidence consistent with conceptual overlap was identified in Study 1, the evidence for such overlap in Study 2 was more ambiguous. In Study 3, a meta-analysis of existing literature revealed that the relationship between moral norms and anticipated regret was moderated by the extent of the moral implications arising from the behaviour under examination. Taken together, these findings suggest that conceptual overlap between moral norms and anticipated regret is more likely to occur among behaviours with obvious moral implications. Researchers wishing to examine the predictive utility of moral norms and anticipated regret among such behaviours would therefore be advised to aggregate these measures to form a composite variable (personal norms).

The positive criteria of legal norms: law between facts and norms

Whether an abstract jurisprudence of law can be developed such that law is neutral with respect topositive choices, or whether law is necessarily informed by social facts, values and assumptions, with reference to the work of Jurgden Habermas, countering that author's claim of neutrality.

Ethical trust and social moral norms simulation : a bio-inspired agent-based modelling approach

The understanding of the micro-macro link is an urgent need in the study of social systems. The complex adaptive nature of social systems adds to the challenges of understanding social interactions and system feedback and presents substantial scope and potential for extending the frontiers of computer-based research tools such as simulations and agent-based technologies. In this project, we seek to understand key research questions concerning the interplay of ethical trust at the individual level and the development of collective social moral norms as representative sample of the bigger micro-macro link of social systems. We outline our computational model of ethical trust (CMET) informed by research findings from trust, machine ethics and neural science. Guided by the CMET architecture, we discuss key implementation ideas for the simulations of ethical trust and social moral norms.

Interplay of ethical trust and social moral norms : environment modelling and computational mechanisms in agent-based social simulation

In many agent-based models theoretical and computational mechanisms are needed for model abstraction and design. However, it can be challenging to arrive at the appropriate mechanisms and models. This research on the interplay of ethical trust and social moral norms addresses that challenge via an analytical framework on the spread of moral norms, the modelling of social environment and the selection of spread mechanisms as applied to agent-based social simulation. We describe the mechanism alignment mapping, two forms of interaction modelling between the social environment and agents, and the results obtained from the simulation of our computational model. These results provide an insight into how the agent-based paradigm can be applied as a technique of investigation for normative moral processes in computational social sciences.

Climate-induced reaction norms for life-history traits in pythons

Climate change modelers predict increasingly frequent “extreme events,” so it is critical to quantify whether organismal responses (such as reproductive output) measured over the range of usual climatic conditions can predict responses under more extreme conditions. In a 20-year field study on water pythons (Liasis fuscus), we quantified the effects of climatically driven annual variation in food supply on demographic traits of female pythons (feeding rate, body size, body mass, and reproductive output). Reaction norms linking food supply to feeding rates and residual body mass were broadly linear, whereas norms linking food supply to female body size became curvilinear when a dramatic (flooding-induced) famine reduced the mean body size at sexual maturity. Thus, the reaction norms recorded over 16 years of “normal” (albeit highly variable) climatic conditions gave little insight into the population's response to a more extreme nutritional crisis.

The development of internal auditing in Ethiopia: the role of institutional norms

Purpose – The purpose of this paper is to examine the extent to which institutional norms determine attributes of internal audit practices and how institutional changes explain the development of these practices.

Design/methodology/approach – The authors employed a qualitative research approach based on archival analysis and interview evidence.

Findings – Findings indicate that regulation-based institutional norms explain the adoption of internal audit and the function's characteristics in Ethiopian organizations. Furthermore, innovative introduction of internal audit practices originate within individual organizations and eventually get institutionalized through diffusion. Such innovations are associated with organizational size, top management characteristics, internal audit advancement in technology, and exogenous input from the external environment. Widely accepted internal audit practices, as institutional norms, are not always taken-for-granted at the level of individual organizations. The institutional change perspective enables explaining how new internal audit approaches are introduced to supplant old ones.

Originality/value – This study theorizes the development of internal audit practices from an institutional change perspective. Being the first study to do so, it contributes to the understanding of key drivers of institutional change that initiate new institutional norms that foster the development of internal audit through introduction and diffusion of new audit practices as old ones are deinstitutionalized.