The purpose of this article is to elaborate Cottrill et al.'s (1996) conceptual framework of limit, an explanatory model of how students might come to understand the limit concept. Drawing on a retrospective analysis of 2 teaching experiments, we propose 2 theoretical constructs to account for the students' success in formulating and understanding…

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…

This study attempted to determine the influence of prior knowledge in mathematics of students on learner-interface interactions in a learning-by-teaching intelligent tutoring system. One hundred thirty-nine high school students answered a pretest (i.e., the prior knowledge in mathematics) and a posttest. In between the pretest and posttest, they…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

Discusses how experiments can offer students different points of view on the mathematical concepts presented in class and bring these concepts to life. Presents an experiment that demonstrates the interaction between mathematics and fluid dynamics. (Author/ASK)

Simulations make it possible to explore physical and biological phenomena, where conducting the real experiment is impracticable or difficult. The implementation of a software program describing and simulating a given physical situation encourages the understanding of a phenomenon itself. Fifty-nine students, enrolled at the Mathematical Methods…

Describes a community-college curriculum that incorporates Socratic Dialogue Inducing (SDI) laboratories into a new calculus-based preengineering physics sequence. SDI allows for group discussion labs that emphasize the concepts being taught in the lectures. (ZWH)

Presents the work of Newton in thermometry and argues that it is a quite distinguished work in this area and exemplifies Newton's brilliance as an experimenter. (PR)

Describes an experiment to determine which of four objects, hollow cylinders, solid cylinders, hollow balls, and solid balls, will reach the bottom of an inclined plane first when released simultaneously. Provides solutions to the problem and supplementary exercises. (MDH)

A major cause of the difficulty undergraduate mathematics majors have with the transition from elementary to advanced mathematics courses is that advanced courses require students to understand how mathematics is created. Describes a course whose main purpose is to introduce students to the creative process in mathematics. The course consists of…

This paper discusses some of the issues involved and lessons learned in including a formal computer laboratory component in a freshman mathematics course for business administration students at Monmouth University (New Jersey), focusing on both the technical and the pedagogical aspects of the component of the course. The concept is modeled after…

The four 1986 issues of the journal on suggestive and accelerative learning and teaching (SALT) include articles on these topics: SALT components in English composition instruction; music therapy for moderately retarded students; the brain and accelerated learning; accelerated learning and self-concept; remedial reading; versions of the concert…

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…