Operational,interpersonal, discussional and ideational dimensions of classroom norms for dialogic practice in school mathematics

While research suggests that interactive pedagogy drawing on students’ ideas can improve learning outcomes, it has been found difficult to change mathematics classroom practice in this direction. The reasons for this difficulty remain poorly understood, hindering change at scale. This article focuses on the under‐researched normative aspect of such practice which shapes participants’ actions and expectations. Drawing on theories of social practice and interaction, we define norms as recurrent and socially obligating patterns of, and rationales for, behaviour in a particular social practice. We then examine empirically what and how (new) norms associated with this type of pedagogy are manifest in classroom discursive activity by examining talk across 21 school mathematics lessons by 12 teachers implementing a dialogic intervention. While there is a clear distinction between surface norms and underlying rationales, and a consistent set of surface norms relating to classroom talk can be identified, deeper analysis finds norms to be multi‐dimensional. We illustrate how a surface norm, such as ‘Respect others’ ideas’, can be enunciated in terms of multiple underlying rationales which we term operational, interpersonal, discussional and ideational. Our findings shed new light on why the dialogic intentions of such interventions are often realised in a superficial way. We further examine the ways in which teachers hold students and themselves accountable to the ideational dimension—the dimension that relates to taking students’ ideas seriously in classroom dialogue.     

A Mathematics intervention for low-performing Finnish second graders: findings from a pilot study

Evidence-based practice is highly appreciated and demanded in the field of education, especially in relation to extra support provided for children struggling with learning. Currently, there is a lack of intervention studies in the area of mathematics. This study aimed to investigate the effects of a short mathematics intervention programme on second graders (M_age?=?8?years, 2?months) with low performance in mathematics, in a quasi-experimental, intervention-control setting. A group of low-performing second graders (LOWi, n?=?11) was taught twice a week for eight weeks on the mathematics topics of number word sequence skills, counting skills and conceptual place value knowledge. The intervention’s effectiveness was examined by comparing the mathematics performance of the LOWi group to those of two groups consisting of low performing (LOWc, n?=?13) and typically performing children (TYPc, n?=?64), who followed their business-as-usual mathematics instruction. The LOWi group made significant improvements in mathematics but did not show significantly better gains, compared to the LOWc and TYPc groups, immediately and three months after the intervention. We discuss the implications for educational practice and intervention research.     

Parents' Role in Adolescents' Educational Expectations

The present study examined the extent to which mothers' and fathers' expectations for their offspring's future education, their level of education, and adolescents' academic achievement predict adolescents' educational expectations. To investigate this, 230 adolescents were examined twice while they were in comprehensive school (in the 7th and 9th grades). Their parents also filled in questionnaires at the same time points. The results showed that high parental expectations concerning their offspring's future education predicted high educational expectations among adolescents and they became more similar in the 9th grade compared to 7th grade. Parents' high level of education predicted both mothers' and adolescents' high level of educational expectations in the 7th grade, which then contributed to adolescents' high expectations in 9th grade.     

The effects of educational computer game on low-performing children’s early numeracy skills – an intervention study in a preschool setting

The aim of this study was to determine the effects of an educational computer game, Lola’s World, on low-performing children’s early numeracy skills. Four preschools with 33 children from families of low socio-economic status (M _age = 5.5 years) took part in this study. Of the 33 children, 23 were split randomly into two groups: an intervention group playing a numeracy game (Lola’s World) and an active control group playing an early reading skills game (Lola’s ABC party). The remaining 10 children served as a passive control group. The intervention phase lasted three weeks, during which time the children played the games daily for about 15 min. The children’s numeracy skills were measured using the Early Numeracy Test. Those children (n = 22) who exhibited low numeracy (i.e. at risk for learning difficulties in mathematics) were included in the analyses. The three groups did not differ in terms of parental educational levels or home languages. They were comparable in terms of nonverbal reasoning and the amount of time spent playing. The Lola’s World group improved its early numeracy performance from pretest to post-test. No between-group differences were found. The results are discussed in relation to providing game-based support for low-performing preschoolers.     

Patterns of symbolic numerical magnitude processing and working memory as predictors of early mathematics performance

European Journal of Psychology of Education - Although the roles of symbolic numerical magnitude processing (SNMP) and working memory (WM) in mathematics performance are well acknowledged, studies...