Writing in Mathematics: An Alternative Form of Communication for Academically Low‐Achieving Students

Abstract. Classroom communication figures prominently in current math reform efforts. In this study, we analyze how one teacher used writing to support communication in a seventh‐grade, low‐track mathematics class. For one school year, we studied four low‐achieving students in the class. Students wrote in journals on a weekly basis. Using classroom observations and interviews with the teacher, we developed profiles of the four students, capturing their participation in class discussions. The profiles highlighted an important similarity among the four students: marginal participation in both small‐group and whole‐class discussions. However, our analysis of the students' journals identified multiple instances where the students were able to explain their mathematical reasoning, revealing their conceptual understanding, ability to explain, and skill at representing a problem. In this respect, journals potentially facilitate another important form of classroom communication. The promise of writing is that it offers an alternative to the visions of classroom communication that are strictly oral in nature.     

From Policy to Practice: Pupils' Responses to Widening Participation Initiatives

Recent widening participation policies have been subject to a number of criticisms; they focus on aspirations rather than differences in performance; they place less value on the aspirations of the ‘disadvantaged’ comparing them to a middle class norm; they subordinate what was a radical agenda to the demands of the economy and so constrain the available options to young people. Using data from young people who have taken part in Aimhigher initiatives in the South West of England and from teachers who have organised Aimhigher events, this paper will examine to what extent these features of policy are evidenced in the attitudes and aspirations of these pupils. It will argue that the data shows little evidence of pupils positioning themselves as inferior, that young people display instrumental attitudes to education, but that these attitudes relate to policy discourse and practice in complex ways.     

The effect of illustrations in arithmetic problem-solving: Effects of increased cognitive load

Arithmetic word problems are often presented accompanied by illustrations. The present study examined how different types of illustrations influence the speed and accuracy of performance of both good (n = 67) and poor arithmeticians (n = 63). Twenty-four arithmetic word problems were presented with four types of illustrations with increasing information value. The results show that illustrations can have a detrimental effect on performance on arithmetic word problems, produced by irrelevant, redundant or interacting sources of information. Principles from cognitive load theory are used to explain the results, in particular in relation to (poor) working memory ability.