The COVID-19 pandemic shifted higher education online, drawing attention to synchronous learning and instruction on digital communication platforms. Learner-centered teaching practices in the tertiary level, such as mathematical discussions, have been shown to benefit student learning. The interactions involved in online synchronous mathematical…

This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

This document promotes computer symbolic mathematics and computer algebra as ideal instructional materials for mathematics, science, and engineering students. Further, computer algebra is viewed as appropriate for all students throughout the mathematics curriculum, by serving a vast area of mutual reinforcement and cross-motivation between…

Secondary school teachers incorporating the use of a computer in algebra, trigonometry, advanced mathematics, chemistry, or physics classes are the individuals for whom this book is intended. The content included in it is designed to aid the learning of programing techniques and basic scientific or mathematical principles, and to offer some…

This paper discusses the overall design of the PIXIE Intelligent Tutoring System, and more specifically a series of recent enhancements. The original system has been implemented to involve three separate phases: the offline, or model generation phase; the online, or tutoring, phase; and the analysis phase. The offline phase, which is completed…

The computer-assisted instruction program at Tennessee State University in cooperation with the Institute for Mathematical Studies in the Social Sciences at Stanford University during the spring and summer of 1972 is described in this report. Four courses in Basic English, Algebra, Computer Programing, and Symbolic Logic are described. Amount of…

Six studies discussed in this paper compared error-specific or model-based remediation (MBR) with reteaching in algebra. MBR points out, and highlights as incorrect, errors specific to the student's solution before reteaching the correct procedures. Reteaching shows the student the correct procedure without addressing specific errors. Three of…

This paper provides an overview of the four major aspects of the PIXIE Intelligent Tutoring System: the field work undertaken to determine how teachers diagnose and remediate in introductory algebra; the set of experiments run to determine the relative effectiveness of Model-Based-Remediation (MBR) and Reteaching; systems work carried out to…

The handbooks for the most widely used computer-assisted instruction (CAI) courses now available on computer terminals at the Institute for Mathematical Studies in the Social Sciences at Stanford University are presented. Handbooks are included for the following courses: Strands Drill-and-practice (arithmetic fundamentals for fourth grade), Logic…

The implementation of the program used in this study, TPIXIE, was predicated on the assumption that acquiring the skill to diagnose student errors was important for teacher trainees. The TPIXIE system (part of the PIXIE family of intelligent tutoring systems) was designed to present users with a series of task-student-answer pairs (where the…

Explains how a computer uses its vision to determine the area, edge length, width, height, and center of mass in two dimensions from photos of backlit sea shells. Includes HyperCard codes used to instruct the computer to make the calculations. (MDH)

The Sharing Success program, recognizes exemplary public school programs and practices in the states of Alabama, Florida, Georgia, Mississippi, North Carolina, and South Carolina. Each year, SERVE emphasizes a specific program area for recognition based on one of the national goals for education. This "Sharing Success" publication…