Semiotic systems,culture and early mathematical knowledge / Sistemas semióticos,cultura y conocimiento matemático temprano

Abstract

In this introduction to the issue Semiotic tools in early mathematical knowledge, we offer a theoretical perspective that provides meaning to the different contributions. We begin by reviewing three perspectives bearing an important influence on the study of mathematical development in childhood (the Piagetian, the information processing and the neonativist perspectives). Next, we underscore the need for developmental studies in this domain to consider the semiotic component, and hence the socio-cultural component, in depth. The contributions that form this volume — a theoretical article, five papers and four short reports of empirical studies and a review of an instructional approach — illustrate different ways of including the semiotic component in the study of children’s mathematical knowledge.     

Achievement motivation and attributional style as mediators between perfectionism and subjective well-being in Chinese university students

This study examined both the mediation effects of achievement motivation and attributional style on the relationship between perfectionism and subjective well-being in a sample of Chinese university students. Four hundred ninety-three participants with an age range of 18–24 (206 males and 287 females) completed the Hewitt and Flett Multidimensional Perfectionism Scale (HMPS), the Achievement Motivation Scale (AMS), the Multidimensional–Multiattributional Causality Scale (MMCS) and the General Well-Being Schedule (GWB). Correlation analysis indicated that perfectionism was positively correlated with subjective well-being. Structural equation modeling exhibited the partial mediation effects of attributional style and achievement motivation on the relationship between perfectionism and subjective well-being. Moreover, a multi-group analysis indicated that the mediation model was not moderated by gender. These findings contribute to the complex nature of the association between perfectionism and subjective well-being. This study’s implications for future research and limitations of the present findings are discussed.     

Examining the association between psychological wellbeing with daily and intra-individual variation in subjective wellbeing

A number of studies identify distinct dimensions of psychological and subjective wellbeing. However, few investigations have examined how these distinctive wellbeing dimensions may be related over time. The present study aimed to contribute to this growing body of research by adopting a measurement burst design to examine the association between psychological functioning with daily and intra-individual variation in affect over a 14-day period, controlling for personality. Participants (N = 45) comprised a sample of Australian adults from Canberra, Australia who were observed on up to 14 days over a 2-week period (Mobs = 10.9 (SD = 3.1)). Maximum Likelihood (ML) estimates from a multi-level structural equation model identified psychological functioning as only weakly associated with daily positive affect, and unrelated to daily levels of negative affect and intra-individual variation in both affect domains when adjusting for demographic, personality and daily stressors. Positive and negative daily events were most strongly associated with positive and negative feelings, respectively. Post-hoc analysis within a Bayesian context confirmed our ML results whilst a Monte Carlo simulation identified sufficient statistical power of significant parameters. Overall, evidence for an association between psychological functioning and daily affect was not identified.     

The mediating role of optimism in the relations between sense of coherence,subjective and psychological well-being among late adolescents

The purpose of this study was to examine whether optimism is a mediator between sense of coherence, subjective well-being and psychological well-being among late adolescents. Two hundred and eleven participants completed the Sense of Coherence Scale, the Life Orientation Test-Revised, the Satisfaction With Life Scale, the Positive and Negative Affect Schedule, and the Psychological Well-Being Scale. Results of path analysis revealed both direct and indirect effects of sense of coherence on subjective and psychological well-being measures, suggesting that optimism served as a partial mediator. The mediating role of optimism may be more fully understood within the framework of the self-concordance model. Consistent with the model, individuals who have formed meaningful goals tend to experience more positive affective states, which in turn enhances well-being. The findings also suggest that sense of coherence should not be interpreted as an autonomous resource contributing to a favorable development of late adolescents’ well-being, but as a factor that works in connection with dispositional optimism.     

The Normativity of Meaning: Guidance and Justification

Abstract

The thesis that meaning is normative has come under much scrutiny of late. However, there are aspects of the view that have received comparatively little critical attention which centre on meaning’s capacity to guide and justify linguistic action. Call such a view ‘justification normativity’ (JN). I outline Zalabardo’s (1997) account of JN and his corresponding argument against reductive-naturalistic meaning-factualism and argue that the argument presents a genuine challenge to account for the guiding role of meaning in linguistic action. I then present a proposal regarding how this challenge may be met. This proposal is then compared to recent work by Ginsborg (2011; 2012), who has outlined an alternative view of the normativity of meaning that explicitly rejects the idea that meanings guide and justify linguistic use. I outline how Ginsborg utilises this notion of normativity in order to provide a positive account of what it is to mean something by an expression which is intended to serve as a response to Kripke’s semantic sceptic. Finally, I argue that Ginsborg’s response to the sceptic is unsatisfactory, and that, insofar as it is able to preserve our intuitive view of meaning’s capacity to guide linguistic action, my proposal is to be preferred.     

The Community Story,Relationality and Process: Bridging Tools for Researching Local Knowledge in a Peri‐urban Township

In intervening in social challenges impacting local communities, Western forms of dispute/conflict resolution have been critiqued for imparting norms, values and practices that marginalise worldviews of indigenous people. From a decolonizing stance, indigenous scholars have emphasised the need for recovery of ‘lost’ values, beliefs and practices to advance indigenous knowledge. We highlight some of the conceptual challenges associated with applying ‘indigenous knowledge’ and culture‐specific ‘indigenous methodologies’ to a marginalised peri‐urban, ethnically plural township community situated on the outskirts of Johannesburg, South Africa. In embracing the mutuality of indigenous and Western knowledge forms, we explore three elements: the community story, relationality and process in relation to initial engagements with our study community. We attempt to transcend the dualism between ‘Western’ epistemologies and ‘indigenous knowledge’ through these ‘bridging concepts’. What is offered is not a formula or model but an orientation that aims to foster mutual learning through collaborative partnerships within and between communities and researchers with a view to inspiring possibilities for creative and meaningful solutions for violence prevention and dispute/conflict resolution. Copyright © 2014 John Wiley & Sons, Ltd.     

Team adaptation to an unforeseen system failure: Limits of the potential aids of shared knowledge and standardized communication

The present study investigates the potential benefits of a team’s shared knowledge and standardized communication in adapting to an unforeseen change by combining literature on adaptation and team performance. Each of 20 teams performed a dynamic team task and was suddenly confronted with a simulated partial system breakdown. Results show that a methodological framework designed to describe performance adaptation to an unforeseen change in individuals can also be used to model performance adaptation in teams. The system failure was followed by a performance drop and a subsequent period of gradual performance recovery. Accuracy of teams’ shared knowledge correlated positively with performance before and after the change, confirming and extending the literature on shared mental models. However, the amount of knowledge similarity did not aid teams in adapting to the unforeseen system breakdown. In addition, improving teams’ standardized communication had no damping effect on the sudden performance drop and neither helped them during the subsequent recovery period. These results show that even though shared knowledge and efficient communication are of high value to team performance and success, these characteristics are limited in aiding adaptive team performance after unforeseen unique changes that force team members to update their strategies.     

Big Five personality traits: Are they really important for the subjective well‐being of Indians?

This study empirically examined the relationship between the Big Five personality traits and subjective well‐being (SWB) in India. SWB variables used were life satisfaction, positive affect and negative affect. A total of 183 participants in the age range 30–40 years from Pune, India, completed the personality and SWB measures. Backward stepwise regression analysis showed that the Big Five traits accounted for 17% of the variance in life satisfaction, 35% variance in positive affect and 28% variance in negative affect. Conscientiousness emerged as the strongest predictor of life satisfaction. In line with the earlier research findings, neuroticism and extraversion were found to predict negative affect and positive affect, respectively. Neither openness to experience nor agreeableness contributed to SWB. The research emphasises the need to revisit the association between personality and SWB across different cultures, especially non‐western cultures.     

Self‐esteem mediates the relationship between spirituality and subjective well‐being in Iran

Self‐esteem appears to play a central role in the spiritual life and ethical behaviour of the typical Iranian. For example, for many Iranians, humankind is believed to be the crown of creation, and each person is believed to be individually valued by God. Previous empirical studies also indicate that in Iran spirituality is positively associated with self‐esteem. On this basis, it was hypothesised that self‐esteem would be one of the mechanisms through which spirituality leads to increased mental well‐being. Mediation analysis showed that self‐esteem was a partial mediator of the spirituality–well‐being relationship. Moreover, results of moderated mediation analysis revealed that this mediation was not significantly moderated by gender, and that the indirect path through self‐esteem was significant in both genders. Implications of the results and their relevance to other western and eastern religions (e.g. Christianity and Buddhism) are discussed.