International comparative studies of education have shown that the increase in mathematical attainment differs significantly among students in relation to the different school types in which their mathematical foundations were acquired. In tertiary education, the same differences are observed with respect to simple tasks that relate to the subject…

There is growing concern in Europe that some students are not well-equipped to start a Bachelor's or Master's programme, especially when the programme has a strong mathematical focus. In particular, attention is drawn to problems with mathematics in the transition from secondary to higher education. Higher education expects a certain level of…

This paper concerns a study of the performance of students in a linear algebra examination. Differences in performance of tasks requiring understanding of concepts with those that required only the use of routine procedures and factual recall were investigated. Central to the study was the use of a taxonomy based on Bloom's Taxonomy for…

Compared tutoring episodes where tutoring did and did not cause learning in university physics students to inform design of intelligent tutoring systems. Found that when students were not at an impasse, learning was uncommon regardless of the tutorial explanations employed. When students were at an impasse, tutorial explanations were sometimes…

How the self-explanation process relates to learning and subsequent problem-solving performance was studied in two experiments with college students to examine whether students taught to self-explain during a study phase show greater test gains than control group counterparts; this is an attempt to replicate the results of M. T. H. Chi and others.…

The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

Discusses the need to consider the cognitive models of students and their learning processes when designing computer tutorials, and describes a tutorial designed to teach students how to generate algebraic equations for story problems. Testing and revisions of the tutorial, with both college and high school students are described. (14 references)…

This study investigates factors which may adversely affect the technical education of Hispanic bilinguals. Hispanic bilingual students (N=36) majoring in science or engineering at the University of Massachusetts were given a variety of exams in both English and Spanish aimed at ascertaining the level of certain mathematically related skills. An…

The psychological mechanisms that underlie human question asking and answering during comprehension and complex learning were studied. The transcripts of 83 tutoring sessions on research methods for college students and 22 algebra tutoring sessions for seventh graders were collected and analyzed. It was estimated that student questions were about…

College students enrolled in developmental mathematics and elementary algebra courses typically make the same mistakes repeatedly. Moreover, the same mistakes are made every semester, regardless of the students involved. Lev Vygotsky's concept of fossilization, which refers to the phenomenon of learning being lost over time and only behaviors…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…