Mathematical anxiety is linked to reduced cognitive reflection: A potential road from discomfort in the mathematics classroom to susceptibility to biases

Background
When asked to solve mathematical problems, some people experience anxiety and threat, which can lead to impaired mathematical performance (Curr Dir Psychol Sci 11:181–185, 2002). The present studies investigated the link between mathematical anxiety and performance on the cognitive reflection test (CRT; J Econ Perspect 19:25–42, 2005). The CRT is a measure of a person’s ability to resist intuitive response tendencies, and it correlates strongly with important real-life outcomes, such as time preferences, risk-taking, and rational thinking.

Methods
In Experiments 1 and 2 the relationships between maths anxiety, mathematical knowledge/mathematical achievement, test anxiety and cognitive reflection were analysed using mediation analyses. Experiment 3 included a manipulation of working memory load. The effects of anxiety and working memory load were analysed using ANOVAs.

Results
Our experiments with university students (Experiments 1 and 3) and secondary school students (Experiment 2) demonstrated that mathematical anxiety was a significant predictor of cognitive reflection, even after controlling for the effects of general mathematical knowledge (in Experiment 1), school mathematical achievement (in Experiment 2) and test anxiety (in Experiments 1–3). Furthermore, Experiment 3 showed that mathematical anxiety and burdening working memory resources with a secondary task had similar effects on cognitive reflection.

Conclusions
Given earlier findings that showed a close link between cognitive reflection, unbiased decisions and rationality, our results suggest that mathematical anxiety might be negatively related to individuals’ ability to make advantageous choices and good decisions.

'You' and 'I' in university seminars and spoken learner discourse

You and I may be little words but they do a great deal. In spoken discourse they reference shared knowledge and mark stance. In pedagogical contexts, they maintain relations in teacher-student discourse. However, language classrooms may rarely explore this array of pragmatic meanings. A lack of awareness of the variety of these functions may be problematic for learners when seeking to construct interpersonal relations and operate successfully in particular spoken contexts. This paper presents a study of you and I in two spoken corpora: a corpus of English language learner task talk and a corpus of university seminar talk. Findings illustrate different patterns of I and you between the two corpora: I and you have a higher rate of occurrence in learner discourse, and pronoun repetition is more frequent in learner discourse, though it does not account for the higher rate of you and I. These findings suggest that language learner task talk displays more features tied to speech production and self-regulation and fewer features associated with attempting to point to the informational space of others, a key feature of university classroom talk. This paper concludes by outlining pedagogical applications to overcome features perceived as disfluent.

Let's talk about health: shoppers' discourse regarding health while food shopping

Objective: The present study aimed to examine the role of health in consumers’ food purchasing decisions through investigating the nature of people’s discourse regarding health while conducting their food shopping.

Design: The study employed the think-aloud technique as part of an accompanied shop. All mentions of health and terms relating to health were identified from the data set. Inductive thematic analysis was conducted to examine how health was talked about in relation to people’s food choice decisions.

Setting: Supermarkets in Dublin, Republic of Ireland and Belfast, Northern Ireland.

Subjects Participants: (n 50) were aged over 18 years and represented the main household shopper.

Results: Responsibility for others and the perceived need to illicit strict control to avoid ‘unhealthy’ food selections played a dominant role in how health was talked about during the accompanied shop. Consequently healthy shopping was viewed as difficult and effort was required to make the healthy choice, with shoppers relating to product-based inferences to support their decisions.

Conclusions: This qualitative exploration has provided evidence of a number of factors influencing the consideration of health during consumers’ food shopping. These results highlight opportunities for stakeholders such as public health bodies and the food industry to explore further ways to help enable consumers make healthy food choices.

Mathematics and reading difficulty subtypes: Minor phonological influences on mathematics for 5-7 year olds

Linguistic influences in mathematics have previously been explored throughsubtyping methodology and by taking advantage of the componential nature ofmathematics and variations in language requirements that exist across tasks. Thepresent longitudinal investigation aimed to examine the language requirements of mathematical tasks in young children aged 5-7 years. Initially, 256 children were screened for mathematics and reading difficulties using standardised measures. Those scoring at or below the 35th percentile on either dimension were classified as having difficulty. From this screening, 115 children were allocated to each of the MD (n=26), MDRD (n=32), reading difficulty (RD, n=22) and typically achieving (TA, n=35) subtypes. These children were tested at four time points, separated by six monthly intervals, on a battery of seven mathematical tasks. Growth curve analysis indicated that, in contrast to previous research on older children, young children with MD and MDRD had very similar patterns of development on all mathematical tasks. Overall, the subtype comparisons suggested that language played only a minor mediating role in most tasks, and this was secondary in importance to non-verbal skills. Correlational evidence suggested that children from the different subtypescould have been using different mixes of verbal and non-verbal strategies to solve the mathematical problems.

A-level Mathematics Options – Views of Secondary-level Teachers

The A-level Mathematics qualification is based on a compulsory set of pure maths modules and a selection of applied maths modules with the pure maths representing two thirds of the assessment. The applied maths section includes mechanics, statistics and (sometimes) decision maths. A combination of mechanics and statistics tends to be the most popular choice by far. The current study aims to understand how maths teachers in secondary education make decisions regarding the curriculum options and offers useful insight to those currently designing the new A-level specifications.

Semi-structured interviews were conducted with A-level maths teachers representing 27 grammar schools across Northern Ireland. Teachers were generally in agreement regarding the importance of pure maths and the balance between pure and applied within the A-level maths curriculum. A wide variety of opinions existed concerning the applied options. While many believe that the basic mechanics-statistics (M1-S1) combination is most accessible, it was also noted that the M1-M2 combination fits neatly alongside A-level physics. Lack of resources, timetabling constraints and competition with other subjects in the curriculum hinder uptake of A-level Further Maths.

Teachers are very conscious of the need to obtain high grades to benefit both their pupils and the school’s reputation. The move to a linear assessment system in England while Northern Ireland retains the modular system is likely to cause some schools to review their choice of exam board although there is disagreement as to whether a modular or linear system is more advantageous for pupils. The upcoming change in the specification offers an opportunity to refresh the assessment also and reduce the number of leading questions. However, teachers note that there are serious issues with GCSE maths and these have implications for A-level.

English Language Education at University: Trends and Challenges in Teaching and Learning Academic Discourse in the UK

This chapter discusses English Language Education at university and highlights a number of trends and their associated challenges in teaching and learning academic discourse. Academic discourse refers to the ways in which language is used by participants in academia. It encompasses written discourse, from article and book publishing, PhD theses to course assignments; spoken discourse, from study groups, tutorials, conference presentations to inaugural lectures; and more recently, computer-mediated discourse, from asynchronous text-based conferencing to academic blogs. The role of English language educators in preparing students and academics for successful participation in these academic events, or the academy, in English is not to be underestimated. Academic communication is not only vital to an individual’s success at university, but to the maintenance and creation of academic communities and to scientific progress itself (Hyland, 2009). This chapter presents an overview of academic discourse and discusses recent issues which have an impact on teaching and learning English at university and discusses their associated challenges: first, the increasing internationalisation of universities. Second, the emergence of a mobile academe in its broadest sense, in which students and academics move across traditional geopolitical, institutional and disciplinary boundaries, is discussed. Third, the growth of UK transnational higher education is examined as a trend which sees academics and students vicariously or otherwise involved in English language teaching and learning. Fourth, the chapter delves into the rapid and ongoing development in technology assisted and online learning. While responding to trends can be difficult, they can also inspire ingenuity. Furthermore, such trends and challenges will not emerge in the same manner in different contexts. The discussion in this chapter is illustrated with examples from a UK context but the implications of the trends and challenges are such that they reach beyond borders.

Using Comparative Constitutionalism in Human Rights Discourse:Ireland’s Past and Scotland’s Future

The article considers the use of comparisons in constitutional development, specifically the use of comparative reasoning in the context of debates about human rights in newly emerging independent states, using the examples of Ireland and Scotland.

Multimodal Critical Discourse Analysis (MCDA)

Critical Discourse Analysis (CDA) has probably made the most comprehensive attempt to develop a theory of the inter-connectedness of discourse, power and ideology and is specifically concerned with the role that discourse plays in main-taining and legitimizing inequality in society. While CDA’s general thrust has been towards the analysis of linguistic structures, some critical discourse analysts have begun to focus on multimodal discourses because of the increasingly impor-tant role these play in many social and political contexts. Still, a great deal of CDA analysis has remained largely monomodal. The principal aim of this chapter is therefore to address this situation and demonstrate in what ways CDA can be deployed to analyse the ways that ideological discourses can be communicated, naturalised and legitimated beyond the linguistic level. The chapter also offers a rationale for a multimodal approach based on Halliday’s Systemic Functional Linguistics (SFL), by which it is directly informed

Institutional Discourse

Institutions (and how they work) have long been the object of many investigations in the fields of media, cultural, and organizational studies. More recently, there has been a “linguistic” turn in the study of institutions with many language-focused explo- rations of how power and discourse may function in specific institutional and organi- zational settings, such as schools, courtrooms, corporations, clinics, hospitals, and pris- ons. Many of these studies have been concerned with the ways in which language is used to create and shape institutions and how institutions in turn have the capacity to create, shape, and impose discourses on people. Institutions thus have considerable control over the organizing of our routine experiences of the world and the way we classify that world. They also have the power to foster particular kinds of identities to suit their own purposes.

Mathematics Learning Support in Ireland in 2015

The provision of mathematics learning support in higher-level institutions on the island of Ireland has developed rapidly in recent times with the number of institutions providing some form of support doubling in the past seven years. The Irish Mathematics Learning Support Network aims to inform all mathematics support practitioners in Ireland on relevant issues. Consequently it was decided that a detailed picture of current provision was necessary. A comprehensive online survey was conducted to amass the necessary data. The ultimate aim of the survey is to benefit all mathematics support practitioners in Ireland, in particular those in third-level institutions who require further support to enhance the mathematical learning experience of their students. The survey reveals that the majority of Irish higher-level institutions provide mathematics learning support to some extent, with 65% doing so through a support centre. Learners of service mathematics are the primary users: first-year science, engineering and business undergraduates, with non-traditional students being a sizeable element. Despite the growing recognition for the need to offer mathematics learning support almost half of the centres are subject to annual review. Further, less than half the support offerings have a dedicated full-time manager, while 60% operate with a staff of five or fewer. The elevation of mathematics support as a viable and worthwhile career in order to attract and retain high quality staff is seen by many respondents as the crucial next phase of development.