A case study of calculus instructional material (comprising of lecture notes and tutorial practice worksheets) designed by teachers from a Singapore pre-university is presented in this paper. As textbooks have not been available for mathematics at the pre-university levels, the instructional material was a product of the teachers' collaborative…

This study investigates the impact of utilizing dynamically linked concrete and abstract representations of objects in modern, virtual electric circuit laboratories on the cognitive evolution and the representational fluency of high school students. The students (N = 27, aged 16-17) were randomly divided into two classes: the first class used a…

A digital instructional game with embedded multimedia was believed not limited to allowing the learner to visualize chemistry concepts while playing but enable them to collect relevant information that connects the understanding of the other. The subject was described as a core science area with multiple macroscopic, submicroscopic, and symbolic…

This study gives insights into how Logo-like microworlds can affect cognitive development related to mathematics education of students with math learning difficulties. In particular, we analyse the case of a 15-year-old student with dyslexia and severe dyscalculia. Among the various cognitive aspects involved, here we delve into the development of…

The purpose of this study was to determine if online reflections through social networking affect students' sense of community and levels of perceived conceptual learning in Algebra I courses. Social constructivism, connectivism, and computer-mediated communication in relation to reflective practices form the theoretical and practical framework…

Using a pictorial computer simulation of a natural phenomenon, children's exploration processes and their construction of conceptual models were examined. The selected natural phenomenon was the variations of sunlight and heat of the sun experienced on the earth in relation to the positions of the earth and sun in space, and the subjects were…

Studies the co-emergence of teaching and children's construction of specific conceptions that support the generation of improper fractions in a constructivist teaching experiment with two fourth-grade students posing and solving tasks in a computer microworld. Reports that examination of the teacher's adaptation of learning situations (tasks) and…

AN INVESTIGATION WAS UNDERTAKEN TO EXPLORE THE INSTRUCTIONAL IMPLICATIONS OF JEAN PIAGET'S POSITION ON EQUILIBRATION. ONE PURPOSE WAS TO TEST THE GENERAL HYPOTHESIS THAT THE MISCONCEPTIONS OF CHILDREN, WHEN DISPLACED BY EVIDENCE CONTRARY TO THE MISCONCEPTIONS, GIVE RISE TO COGNITIVE CONFLICTS. THE RESULTS, IN GENERAL, CONFIRM THIS HYPOTHESIS. A…

This study highlights two groups of students enrolled in a college mathematics of finance course using same textbook and instructor. Experimental group used menu-driven symbolic calculators, whereas control group used standard scientific calculators. Significant increases in favor of experimental group were found both with respect to students'…

Explorer is an interactive environment based on a constructivist epistemology of learning that integrates animated computer models with analytic capabilities for learning science. The system includes graphs, a spreadsheet, scripting, and interactive tools. Two examples involving the dynamics of colliding objects and electric circuits illustrate…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…