How does the visual system recognize images of a novel object after a single observation despite possible variations in the viewpoint of that object relative to the observer? One possibility is comparing the image with a prototype for invariance over a relevant transformation set (e.g., translations and dilations). However, invariance over…

The term "organisational learning" was popularised by Peter Senge in "The Fifth Discipline", his seminal book from 1990. Since then, the term has become widely accepted among those interested in organisational learning and change management. However, partly due to the somewhat ambiguous situation which arises in a university…

Solving well-structured problems often requires using considerable related concepts which are usually scattered and introduced throughout different learning units of a subject. In addition, poor learning of related concepts of preceding units may block the learning of subsequent units, and eventually leads to the inability to solve well-structured…

To promote student learning in a relearning situation in university-level mathematics, we developed the learning method TAU ("Think Ask Understand"). TAU provides support (i.e. a role script) for students' interaction during a collaborative problem-solving phase at the beginning of the learning process, while content-related instruction is delayed…

The worked example effect within cognitive load theory is a very well-established finding. The concrete effectiveness of worked examples in a learning situation, however, heavily depends on further moderating factors. For example, if learners improve their processing of worked examples by actively explaining the worked examples to themselves, they…

In the late seventies, Guy Brousseau set himself the goal of verifying experimentally a theory he had been building up for a number of years. The theory, consistent with what was later named (non-radical) constructivism, was that children, in suitable carefully arranged circumstances, can build their own knowledge of mathematics. The experiment,…

Because continuous learning and knowledge generation are core competencies in our ability to resolve the problems facing us as a world community, we must reject the efficiency model and embrace the emerging model of learning. Current schooling structures are counter to new brain/mind learning precepts. Learner-as-pioneer requires individuals to…

This study presents an application of a measure of learner involvement developed by Paas, Tuovinen, van Merrienboer, and Darabi (2005). These authors combined learners' performance scores with their perceived mental effort invested in instruction and used it to assess learner involvement in instructional conditions. The present study examines the…

According to the learned helplessness hypothesis, the learning impairment typically displayed by subjects previously given insoluble problems results from the real learning of response-outcome independence. This learning is represented as a belief in helplessness that interferes with the subsequent acquisition of adaptive responses. Two…

Two experiments were carried out in order to test the effects of task sequence on the speed of rule learning and problem solving. Experiment I involved numerical rule-learning tasks and Experiment II tested the effect of task difficulty and task precedence using problem-solving tasks. (Editor/RK)

To examine how conceptual knowledge about fraction magnitudes changes as students' learning progresses, 5th and 7th-grade students were asked to solve fraction magnitude problems that entailed finding a fraction between two given fractions and then to evaluate solutions for similar problems that were modeled for them. When the given fractions…

An introduction to a symposium on the development of adolescent schooling is followed by one of several presentations concerning current thinking about the problems involved in developing experimenting schools. The paper elaborates the basic propositions about modernization, the process of school reform seen as a process of social learning, and…

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…