This book uncovers the important issues in language learning and teaching in the intelligent, digital era. "Social connectivity" is a contemporary style of learning and living. By engaging in the connectivity of physical and digital worlds, how essential parts of language learning and teaching can be achieved? How can the advanced…

The integration of technology into modern classrooms has enhanced learning opportunities for students. With increased access to educational content, students gain a better understanding of the concepts being taught. "Flipped Instruction: Breakthroughs in Research and Practice" is a comprehensive reference source for the latest scholarly…

One of the great strengths of Jim Kaput's research program was his relentless drive towards scaling up his innovative approach to teaching the mathematics of change and variation. The SimCalc mission, "democratizing access to the mathematics of change," was enacted by deliberate efforts to reach an increasing number of teachers and students each…

This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its…

Lists references of 16 research summaries, 152 articles, and 220 dissertations alphabetically by author within each category. Provides the grade or age level for each reference. A brief abstract is presented for most of the references. Journals searched and author index by content are included. (YP)

This publication is an abstracted compilation of 15 investigations selected from other journals. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, and references. This journal includes the following reports: (1) "A Constructivist Approach to Numeration in Primary…

Investigated the effect of mathematics instruction with the aid of microcomputer illustrations on the achievement of college students enrolled in an intermediate algebra course. There was a treatment effect on the comprehensive final examination. (YP)

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills, requiring them to develop and apply their own logic structures. This paper describes a microcomputer based…

This paper reports on a study of the spread of an educational innovation that used computer technology and software called "Geometric Supposers" to integrate inductive reasoning into geometry courses in three high schools. The study documented the efforts of teachers, who had worked with this innovation during the previous year, to…

A training procedure was developed to improve (or to encourage) the construction of a meaningful problem representation by mentally retarded and learning disabled children. Children are taught to use an external visual representation for arithmetic word problems, in which the meaning of the problem is reflected. The construction of this visual…

This document is intended to describe several software learning environments in an order that parallels a reasonable sequence of use by students. It also describes a planned an designed, but not yet implemented, extension of these environments from the discrete to the continuous case. Each of the implemented environments was developed in…

This report summarizes the work of a two-year project which focused primarily on the problems that students have with algebra in general, and graphs in particular. The first of two major sections in the document deals with the use of computer software to assist in the teaching of graphing. It concludes that thoughtful design and use of graphing…

Presents a detailed discussion of the data collected on calculator and computer use in schools in 20 countries. The document includes discussion of: (1) school policy on calculator use; (2) description of populations A (8th grade students) and B (12th grade students) in the United States; (3) uses of calculators in subjects other than mathematics;…

Investigates whether elementary school students can construct operations of thought for integers and integer addition crucial for understanding elementary algebra. Two sixth graders were taught using a computer. Results included both students being able to construct mental operations for negating arbitrary integers and determining sign and…