Since Personalized Instruction increases the motivation, interest, performance and attitude of the student, it is aimed to develop an instructional management system that can be adapted to the individual, taking into account the prior knowledge level of the person who provides the personalization of all instructional materials. The project is…

This study investigates the embodied, symbolic, and formal reasoning of two fourth-year university students while exploring geometric reasoning about the Cauchy-Riemann equations with the aid of "Geometer's Sketchpad (GSP)." These students participated in a teaching activity designed to encourage shifts between embodied, symbolic, and…

In this paper, we present the results of a study indicating that groups predominantly underrepresented in mathematics prefer to have a choice of instructional method. We use the concept of differentiated instruction to explain how different groups of students might perform better using various instructional techniques. Our study, which is based on…

Objectives: To explore differentiated instruction within a calculus curriculum. For college students to learn concentration, motivation and the impact of academic achievement; explore the attitudes and ideas of students on differentiated instruction within a calculus curriculum; build up the diversity of mathematics education within varied…

Diversity and differentiation within our classrooms, at all levels of education, is nowadays a fact. It has been one of the biggest challenges for educators to respond to the needs of all students in such a mixed-ability classroom. Teachers' inability to deal with students with different levels of readiness in a different way leads to school…

As a college mathematics teacher for six years, the author has learned his share of pedagogical techniques through research, practice, and reflection. He adopts new theories into classroom practice, differentiates instruction when necessary, and remains open to the diversity his students bring with respect to academic readiness, cultural norms,…

College students enrolling in the calculus sequence have a wide variance in their preparation and abilities, yet they are usually taught from the same lecture. We describe another pedagogical model of Individualized Additional Instruction (IAI) that assesses each student frequently and prescribes further instruction and homework based on the…

Three modes of instruction were compared: regular classroom instruction, self-paced, and self-paced plus tutor. Results showed that in an introductory basic concepts of mathematics course, the two self-pacing methods were superior to the regular instruction, while in a calculus course the results were not as clear-cut. (DT)

This study compared a traditionally-taught calculus course with a self-paced one. Based on performance on a common final examination, students in the self-paced course did substantially better than those in the traditional course. (DT)

Multiple regression analysis was employed to determine the interactive effects of student motivation, prior mathematics preparation, and instructional method on achievement in a calculus course taught in lecture and Personalized System of Instruction (PSI) formats. A significant interaction between mathematics preparation and instructional method…

The Individualized Supplementary Calculus Instruction (ISCI) Program is a computer-based tutorial resource in use on several campuses and by large companies needing to train employees in calculus. Evaluation showed ISCI to be effective, especially with students who report little talent for mathematics. (SD)

The organization, implementation, and evaluation of a self-paced calculus course is discussed. (DT)

An instructional program package for individualized learning of calculus is outlined. The program utilizes audio-visual and other instructional techniques and includes topics in limits and continuity, the derivative with applications, and the integral with applications. (MN)

The individualized community college calculus course described here was developed to accomodate differences in student learning rates. It consists of three units: (I) limits and continuity; (II) the derivative with applications; and (III) the integral with applications. There are three sections in Unit I, four sections in Unit II, and five…

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…