This article emphasizes the need to encourage undergraduate students to develop arguments, which involves enhancing their analytical skills and capacity for critical thinking, across disciplines regardless of level. It argues that these skills, required by the Quality Assurance Agency's (QAA) benchmarks, are developed not by instruction, but by…

Interviews with 72 mixed ability students, aged 7 to 12, about arithmetic problem-solving strategies, indicated that the preference between procedural and deductive strategies becomes a divergent reality across ability levels. Among the conclusions is that more able children tend to be doing a qualitatively different sort of mathematics than their…