Universities invest significant resources in the provision of mathematics tuition to first year students, through both traditional and non-traditional means. Research has shown that a significant minority of students do not engage with these resources appropriately. This paper presents findings from a study of two groups of students at Maynooth…

Despite evidence of promise, the adoption of culturally relevant educational (CRE) approaches to teaching and learning remains sporadic and underwhelming. In this chapter, we question this state of affairs by investigating teacher resistance to CRE. Through our examination of the literature, we have come to understand teacher resistance to CRE as…

Data from 154 interviews with students in grades 3 to 13 were analyzed to suggest a developmental progression of conceptual understanding associated with the sample space for two ordinary six-sided dice tossed simultaneously. The model was then considered in the light of responses to an extension task involving three six-sided dice with four sides…

We deal with the study of the senses and the meanings generated in the representation of the unknowns in the resolution of word problems involving two unknown quantities. The discussed cases show the difficulties that the students beginning the algebra learning have to deal with when using the equality between "unknown things". For them,…

The current status of research and development on cooperative learning in mathematics is discussed in an interview with Neil Davidson. The focus is on significant achievement differences favoring small group procedures. Key issues discussed are cooperative learning and problem-solving skills, and students' need for some kind of reward. (JD)

An interview with Seymour Papert, an advocate of computer instruction for children and colleague of Jean Piaget, focused on questions concerning: (1) schools' use of computers; (2) teacher preparation for computer technology in the classroom; (3) importance of students and teachers learning to program; and (4) methods of computer assistance in…