ABSTRACT
‘Quality’ in mathematics teaching does not relate solely to pupil achievement, to teaching approaches or to deeply held beliefs about the nature of mathematics and its teaching and learning, but to all of these. A model of a teacher's mathematics‐related belief‐system is presented, and the issue of the contrast between espoused and enacted beliefs is discussed. ‘Quality’ in mathematics teacher education raises all of these issues, as well as the aims, goals and means of the teacher preparation process itself. The paper concludes by arguing against the ‘apprenticeship’ model of mathematics teacher education, for depriving student teachers of theory and of practical research experience. A well known dictum paraphrased states that theory without practice is empty, but that practice without theory is blind. ‘Quality’ in mathematics teaching and teacher education depends on both theory and practice in systematic cooperation.