Recent work by Kahan et al. (2017) on the psychology of motivated numeracy in the context of intracultural disagreement suggests that people are less likely to employ their capabilities when the evidence runs contrary to their political ideology. This research has so far been carried out primarily in the USA regarding the liberal–conservative divide over gun control regulation. In this paper, we present the results of a modified replication that included an active reasoning intervention with Western European participants regarding (...) both the hierarchy–egalitarianism and individualism–collectivism divides over immigration policy (n = 746; considerably less than the preregistration sample size). We reproduce the motivated numeracy effect, though we do not find evidence of increased polarization of high-numeracy participants. (shrink)

The under-representation of women in Science, Technology, Engineering, and Mathematics is ubiquitous and understanding the roots of this phenomenon is mandatory to guarantee social equality and economic growth. In the present study, we investigated the contribution of non-cognitive factors that usually show higher levels in females, such as math anxiety and neuroticism personality trait, to numeracy competence, a core component in STEM studies. A sample of STEM undergraduate students, balanced for gender and Intelligent Quotient, completed online self-report questionnaires and (...) a numeracy cognitive assessment test. Results show that females scored lower in the numeracy test, and higher in the non-cognitive measures. Moreover, compared to males’, females’ numeracy scores were more strongly influenced by MA and neuroticism. We also tested whether MA association to numeracy is mediated by neuroticism, and whether this mediation is characterized by gender differences. While we failed to detect a significant mediation of neuroticism in the association between MA and numeracy overall, when gender was added as a moderator in this association, neuroticism turned out to be significant for females only. Our findings revealed that non-cognitive factors differently supported numeracy in females and males in STEM programs. (shrink)

This paper draws on a study of numeracy coordinators in primary schools in the UK in the second year of the implementation of the National Numeracy Strategy (NNS). It identifies them as working between three main tasks: embedding the Strategy, sustaining teacher collegiality and auditing accountability. We identify tensions in 'being a coordinator' in relation to these tasks, especially for discourse and identity. We assess the usefulness of the metaphor of 'brokering' in 'communities of practice' (Wenger, 1998) to (...) theorise such tensions. We conclude with some reservations about the metaphor, especially in the way the tensions are discursively performed in relation to the rate of change, complexity of notions of professional identity, and the problematic 'community' status of audit in the educational context. (shrink)

This paper draws on a study of numeracy coordinators in primary schools in the UK in the second year of the implementation of the National Numeracy Strategy. It identifies them as working between three main tasks: embedding the Strategy, sustaining teacher collegiality and auditing accountability. We identify tensions in 'being a coordinator' in relation to these tasks, especially for discourse and identity. We assess the usefulness of the metaphor of 'brokering' in 'communities of practice' to theorise such tensions. (...) We conclude with some reservations about the metaphor, especially in the way the tensions are discursively performed in relation to the rate of change, complexity of notions of professional identity, and the problematic 'community' status of audit in the educational context. (shrink)

The British Government has recently agreed proposals for a National Numeracy Strategy which claims to be based on evidence concerning 'what works'. This article reviews the literature in each key area in which recommendations are made, and makes a judgement of whether the claim is justified. In some areas (e.g. calculators) the recommendations run counter to the evidence.

The home learning environment includes what parents do to stimulate children’s literacy and numeracy skills at home and their overall beliefs and attitudes about children’s learning. The home literacy and numeracy environments are two of the most widely discussed aspects of the home learning environment, and past studies have identified how socioeconomic status and parents’ own abilities and interest in these domains also play a part in shaping children’s learning experiences. However, these studies are mostly from the West, (...) and there has been little focus on the situation of homes in Asia, which captures a large geographical area and a wide diversity of social, ethnic, and linguistic groups. Therefore, this paper aims to review extant studies on the home literacy and numeracy environments that have been conducted in different parts of Asia, such as China, the Philippines, India, Iran, Turkey, and the United Arab Emirates. Specifically, we explore how parents in these places perceive their roles in children’s early literacy and numeracy development, the methods they regard as effective for promoting young children’s literacy and numeracy learning, and the frequency with which they engage their young children in different types of home literacy and numeracy activities. We also examine studies on the relationship of the home literacy and numeracy environment with young children’s developmental outcomes, and the effectiveness of parent training programs to improve the home literacy and numeracy environments in these contexts. By examining potential trends in findings obtained in different geographical areas, we can initially determine whether there are characteristics that are potentially unique to contexts in Asia. We propose future research directions that acknowledge the role of cultural values and social factors in shaping the home learning environment, and, by extension, in facilitating children’s early literacy and numeracy development. (shrink)

Children’s numeracy competencies are not only relevant for their academic achievement, but also later in life. The development of early numeracy competencies is influenced by children’s learning environment. Here, the home numeracy environment and parent’s own beliefs about mathematics play an important role for children’s numeracy competencies. However, only a few studies explicitly tested these associations separately for mothers and fathers. In our study, we assessed mothers’ and fathers’ mathematical gender stereotypes, self-efficacy and their beliefs on (...) the importance of mathematical activities at home, and tested their associations with parents’ numeracy activities and children’s numeracy competencies in a sample of N = 160 children with an average age of M = 59.15 months. Both, fathers and mothers regarded boys as being more competent in mathematics than girls. Fathers when compared to mothers reported a greater mathematical self-efficacy. Further, only mothers’ self-efficacy was associated with the frequency of numeracy activities with the study child. In contrast, only fathers’ beliefs on the importance of mathematics was associated with their numeracy activities which, in turn, predicted children’s numeracy competencies. However, the non-invariant constructs and varying results lead to the question whether a revision of existing scales assessing parental beliefs and home numeracy activities is needed to investigate differences of mothers and fathers and their potential associations with children’s numeracy outcomes. (shrink)

This paper explores the notion of the 'evidence-based practitioner' is relation to the National Numeracy Strategy (NNS). The exploration is dealt with in the context of a pilot study of the implementation of the NNS one year before its national launch in September 1999. We begin by describing some of the milestones encountered in the relatively short life history of evidence-based practice (EBP) and exploring some of its various articulations. Challenging the appropriateness of current externally derived formulations of 'evidence' (...) we develop the notion of 'warranting' in order to examine alternative ways in which teachers legitimate their professional practice in relation to the NNS. We conclude that what we observe is a series of shifting and multiple meanings and justifications, carrying different constraints and possibilities for practice. (shrink)

Prior research has suggested that perceptual disfluency activates analytical processing and increases the solution rate of mathematical problems with appealing but incorrect answers (i.e., the Cogn...

Research on the cognitive abilities involved in decision making has shown that, under objective risk conditions (i.e., when explicit information about possible outcomes and risks is available), superior decisions are especially predicted by executive functions and exact number processing skills, also referred to as objective numeracy. So far, decision-making research has mainly focused on exact number processing skills, such as performing calculations or transformations of symbolic numbers. There is evidence that such exact numeric skills are based on approximate number (...) processing (ANP) skills, which enable quick and accurate processing of non-symbolic numbers (e.g. Chen and Li, 2014). Very few studies, however, have investigated ANP skills in the context of risky decision making and have analyzed direct associations among the aforementioned sub functions. Possible interactions between the closely related skills have not been considered. The current study (N = 128) examines interactions of ANP skills with executive functions and objective numeracy, in predicting risky choice behavior. ANP skills are represented by the accuracy in a dot-comparison task. Decision making is measured by two versions of the Game of Dice Task (GDT), which place different emphases on the reflection of potential risks. The results show two-way as well as three-way interactions between the measures of ANP skills, executive functions, and objective numeracy in predicting risky decisions in both GDT versions. The riskiest decisions were most frequently made in case of low scores in all of the three competencies, while good performance in any one of them resulted in significant reductions of disadvantageous decisions. The findings indicate that high ANP skills can positively affect choice behavior in individuals who have weaknesses in reflectively attributed skills, namely executive functions and objective numeracy. Potential compensatory effects and mechanisms of ANP in decision making are discussed. (shrink)

In response to concern over the numeracy skills deficit displayed by student nurses, an online computer programme, ?Authentic World??, which aims to simulate a real-life clinical environment and improve the medication dosage calculation skills of users, was developed (Founded in 2004 Authentic World Ltd is a spin out company of Glarmorgan and Cardiff Universities, Cardiff, Wales UK.). Two randomised controlled trials were conducted, each at a UK University, in order to investigate the impact of Authentic World? on student nurses? (...) general numeracy abilities. All first year nursing students who gave consent were randomised equally into an intervention or control group. The intervention group were given access to Authentic World?. The primary outcome measure was the students? scores on a general numeracy test. The Intention to Treat (ITT) analysis in both trials revealed a small negative effect of Authentic World? on general numeracy, which was statistically significant in one trial. However, compliance with the intervention was very low in both trials, with only 24 and 12% of students allocated to the intervention groups spending more than 15 minutes using the programme. Providing nursing students with access to Authentic World? is not an effective use of resources since use of the programme appears to be very low. (shrink)

Informed by s socio-historical theory, this paper will report on a study that sought to document the literacy and numeracy outcomes for children living in low socio-economic circumstances in a region south-east of Melbourne, Australia. The research focused on children in preschool and child care centres in the year prior to beginning school, and was designed to map literacy and numeracy experiences of children in the home and in the early childhood centre. In this paper an analysis of (...) the cultural tools that families were intentionally developing in the context of their homes and communities is featured. A socio-historical analysis of the data revealed children’s active engagement in the funds of knowledge (Moll and Greenberg 1990, Moll, 1990, and Moll, 2000) available within the community, the situated nature of learning (Lave and Wenger, 1991) within their communities, and the challenge for families transcending the constraints of ‘everyday learning’ to engage with ‘schooled learning’ (Hedegaard, 1998). The study also revealed the institutional barriers to learning the landscape of schooling (Greeno, 1991) and the deficit positioning evident for children and their families within the official script of middle class early childhood discourse (Fleer, 2003). (shrink)

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

Borrowing behavior may be more resistant to formal educational treatments than other financial behaviors. In order to study the process and results of infographics-based debt education, we used eye tracking technology (SMI RED 500 Hz) to monitor the oculomotor behavior of 108 participants (68 females) aged 18 to 60 who were shown 4 infographics. The study used an experimental design with repeated measures and an internal comparison group. We also used scales of debt literacy and a set of information literacy (...) scales: numerical, graph, and linguistic. The results confirm that short-term infographics-based debt education can improve debt literacy significantly. The difference in processing the educational contents that were not known to participants before the educational session suggests that participants with better information literacy make more considerable debt literacy progress. Specifically, we found that numerical literacy is a significant mediator of debt education results, depending on the initial level of debt literacy; this relation is moderated by the focus of visual attention on negatives of debt. We found no significant relationship between debt literacy education results and those of graph and linguistic literacy. (shrink)

The ArgumentIn 1787 an anonymous student of the Perth Academy spent countless hours transforming his rough classroom notes into a beautifully inscribed notebook. Though this was an everyday practice for many Enlightenment students, extant notebooks of this nature are extremely rare and we know very little about how middle class children learned to inscribe and visualize knowledge on paper. This essay addresses this lacuna by using recently located student notebooks, drawings, and marginalia alongside textbooks and instructional literature to identify the (...) graphic tools and skills that were taught to Scottish children in early modern classrooms. I show that, in addition to learning the facts of the curriculum, students participated in educational routines that enabled them to learn how to visually package knowledge into accessible figures and patterns of information, thereby making acts of inscription and visualization meaningful tools that benefitted both the self and society. (shrink)

Background. To inform their health decisions, patients may seek narratives describing other patients' evaluations of their treatment experiences. Narratives can provide anti-treatment or pro-treatment evaluative meaning that low-numerate patients may especially struggle to derive from statistical information. Here, we examined whether anti-vaccine narratives had relatively stronger effects on the perceived informativeness and judged vaccination probabilities reported among recipients with lower numeracy. Methods. Participants from a nationally representative US internet panel were randomly assigned to an anti-vaccine or pro-vaccine narrative, as (...) presented by a patient discussing a personal experience, a physician discussing a patient's experience, or a physician discussing the experiences of 50 patients. Anti-vaccine narratives described flu experiences of patients who got the flu after getting vaccinated; pro-vaccine narratives described flu experiences of patients who got the flu after not getting vaccinated. Participants indicated their probability of getting vaccinated and rated the informativeness of the narratives. Results. Participants with lower numeracy generally perceived narratives as more informative. By comparison, participants with higher numeracy rated especially anti-vaccine narratives as less informative. Anti-vaccine narratives reduced the judged vaccination probabilities as compared with pro-vaccine narratives, especially among participants with lower numeracy. Mediation analyses suggested that low-numerate individuals' vaccination probabilities were reduced by anti-vaccine narratives - and, to a lesser extent, boosted by pro-vaccine narratives - because they perceived narratives to be more informative. These findings were similar for narratives provided by patients and physicians. Conclusions. Patients with lower numeracy may rely more on narrative information when making their decisions. These findings have implications for the development of health communications and decision AIDS. (shrink)

We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.

Visual aids can improve comprehension of risks associated with medical treatments, screenings, and lifestyles. Do visual aids also help decision makers accurately assess their risk comprehension? That is, do visual aids help them become well calibrated? To address these questions, we investigated the benefits of visual aids displaying numerical information and measured accuracy of self-assessment of diagnostic inferences (i.e., metacognitive judgment calibration) controlling for individual differences in numeracy. Participants included 108 patients who made diagnostic inferences about three medical tests (...) on the basis of information about the sensitivity and false-positive rate of the tests and disease prevalence. Half of the patients received the information in numbers without a visual aid, while the other half received numbers along with a grid representing the numerical information. In the numerical condition, many patients --especially those with low numeracy-- misinterpreted the predictive value of the tests and profoundly overestimated the accuracy of their inferences. Metacognitive judgment calibration mediated the relationship between numeracy and accuracy of diagnostic inferences. In contrast, in the visual aid condition, patients at all levels of numeracy showed high-levels of inferential accuracy and metacognitive judgment calibration. Results indicate that accurate metacognitive assessment may explain the beneficial effects of visual aids and numeracy --a result that accords with theory suggesting that metacognition is an essential part of risk literacy. We conclude that well-designed risk communications can inform patients about health-relevant numerical information while helping them assess the quality of their own risk comprehension. (shrink)

The public is largely innumerate, making systematic mistakes in estimating some politically relevant facts, such as the share of foreign-born citizens. In two-step or multistep flow models, such mistakes could be corrected if better-informed citizens were able to convince their peers, in particular by using good arguments citing reliable sources. In six experiments, we find two issues that dampen the potential power of this two-step flow process. First, even though participants were more convinced by good than by poor arguments, many (...) did not change their minds, even when confronted with good arguments. Second, participants are not inclined to spontaneously generate arguments that cite reliable sources, even when they have just been influenced by such arguments. Both issues should put a significant brake in the spread of political numeracy through the two-step flow process, in particular in non-dialogic contexts. (shrink)

Human cognition is extended and enacted. Drawing the boundaries of cognition to include the resources and attributes of the body and materiality allows an examination of how these components interact with the brain as a system, especially over cultural and evolutionary spans of time. Literacy and numeracy provide examples of multigenerational, incremental change in both psychological functioning and material forms. Though we think materiality, its central role in human cognition is often unappreciated, for reasons that include conceptual distribution over (...) multiple material forms, the unconscious transparency of cognitive activity in general, and the different temporalities of metaplastic change in neurons and cultural forms. (shrink)

The aim of this study was to investigate the effect of numeracy and the emotion of fear on the decision-making process. While previous research demonstrated that these factors are independently related to search effort, search policy and choice in a decision from experience task, less is known about how their interaction contributes to processing information under uncertainty. We attempted to address this problem and to fill this gap. In the present study, we hypothesized that more numerate people would sample (...) more information about a decision problem and that the effect of fear would depend on the source of this emotion: whether it is integral (i.e., relevant) or incidental (i.e., irrelevant) to a decision problem. Additionally, we tested how these factors predict choices. We addressed these hypotheses in a series of two experiments. In each experiment, we used a sampling paradigm to measure search effort, search policy and choice in nine binary problems included in a decision from experience task. In Experiment 1, before the sampling task we elicited incidental fear by asking participants to recall fearful events from their life. In Experiment 2, integral fear was elicited by asking participants to make choices concerning medical treatment. Decision problems and their payoff distributions were the same in the two experiments and across each condition. In both experiments, we assessed objective statistical numeracy and controlled for a change in the current emotional state. We found that more numerate people sampled more information about a decision problem and switched less frequently between alternatives. Incidental fear marginally predicted search effort. Integral fear led to larger sample sizes, but only among more numerate people. Neither numeracy nor fear were related to the number of choices that maximized expected values. However, across two experiments sample sizes predicted the number of choices that maximized experienced mean returns. The findings suggest that people with higher numeracy may be more sensitive to integral emotions; this may result in more effortful sampling of relevant information leading to choices maximizing experienced returns. (shrink)

Within the literature that circulates in the discourses organizing nursing education, there are embedded assumptions that link student performance on maths examinations to safe medication practices. These assumptions are rooted historically. They fundamentally shape educational approaches assumed to support safe practice and protect patients from nursing error. Here, we apply an institutional ethnographic lens to the body of literature that both supports and critiques the emphasis on numeracy skills and medication safety. We use this form of inquiry to open (...) an alternate interrogation of these practices. Our main argument posits that numeracy skills serve as powerful distraction for both students and teachers. We suggest that they operate under specious claims of safety and objectivity. As nurse educators, we are captured by taken‐for‐granted understandings of practices intended to produce safety. We contend that some of these practices are not congruent with how competency actually unfolds in the everyday world of nursing practice. Ontologically grounded in the materiality of work processes, we suggest there is a serious disjuncture between educators' assessment and evaluation work where it links into broad nursing assumptions about medication work. These underlying assumptions and work processes produce contradictory tensions for students, teachers and nurses in direct practice. (shrink)