The paper focuses on student-teachers' geometric diagrams to mediate the emergence of different proofs for a geometric proposition. For Peirce, a diagram is an icon that explicitly and implicitly represents the deep structural relations among the parts of the object that it stands for. Geometric diagrams can be seen as epistemological tools to…

Nowadays, computer aided design (CAD) is widely used by designers. Would children learn to draw more easily and more efficiently if they were taught with computerised tools? To answer this question, we made an experiment designed to compare two methods for children to do the same drawing: the classical "pen and paper" method and a CAD…

Geometry theorem proving involves skills that are difficult to learn. Instead of working with abstract and complicated representations, students might start with concrete, graphical representations. A proof tree is a graphical representation of a formal proof, with each node representing a proposition or given conditions. A computer-assisted…

One of the most useful ways to enhance collaboration is to create scenarios where learners are able to interact more effectively. Nevertheless, the design of pedagogically sound and well-thought-out collaborative learning scenarios is a complex issue. This is due to the context of group learning where the synergy among learners' interactions…

TWO EXPERIMENTS WERE CONDUCTED TO ANALYZE THE SPECIFIC EXTERNAL FACTORS THAT CONTRIBUTE MOST SIGNIFICANTLY TO STUDENT LEARNING. THE THREE HYPOTHESES TESTED WERE--(1) LEARNING IS INCREASED WHEN AN EXPERIMENTER ACTIVELY AUGMENTS THE PROGRAM BY REPHRASING PROGRAM STATEMENTS AND BY BRANCHING THE STUDENT TO DIFFERENT PARTS OF THE PROGRAM WHEN THE…

AN EXPLORATION OF THE INTERACTION BETWEEN PROGRAMED TEACHING DEVICES AND INDIVIDUAL CHARACTERISTICS OF HIGH SCHOOL STUDENTS WAS UNDERTAKEN. THERE WERE FOUR PARTS -- PREPARATION OF MATERIALS ON GEOMETRY, THE ESTABLISHMENT OF CRITERION MEASURES, PRELIMINARY PILOT EXPERIMENTS, AND THE MAIN EXPERIMENT. THE MAIN EXPERIMENT WAS PERFORMED IN 27 CLASSES…

This study compared interaction with a computer vs. observation as learning situations for low and high ability student's learning of spatial visualization and geometric transformations. Thirty-two fifth grade boys took the Differential Aptitude Test, Space Relations Subset (DAT), and then participated in the experiment. Pre-test and post-test…