The purpose of this mixed-methods study was to investigate the relationship between teachers' conceptions of mathematics and their use of intelligent tutoring systems for mathematics instruction. Intelligent tutoring systems are adaptive computer programs which administer mathematics instruction to students based on their cognitive state. A…

In this paper, we report a pilot study on engaging a group of undergraduate students to explore the limits of sin(x)/x and tan(x)/x as x approaches to 0, with the use of non-graphic scientific calculators. By comparing the results in the pretest and the post-test, we found that the students had improvements in the tested items, which involved the…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (TIME 2000). It includes papers, posters, and short oral reports. Research papers include: (1) "Implications of the Shift from Isolated Expensive Technology to Connected, Inexpensive, Ubiquitous and Diverse Technologies" (Jim…

A review of the research on techniques for increasing the novice's understanding of computers and computer programming, this paper considers the potential usefulness of five tentative recommendations pertinent to the design of computer literacy curricula: (1) provide the learner with a concrete model of the computer; (2) encourage the learner to…

Assumptions: Today, when technology has taken its place in almost all classrooms in schools and colleges across the country, there is a need to know how technology "influences the mathematics that is taught and enhances students' learning" (NCTM, 2000, p. 24). Rationale: This presentation describes qualitative study which purpose was to…

How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)

Mathematics games are often used in the classroom as a reward or warm-up activity before the "real" learning takes place. Many teachers have witnessed how useful games are for tuning-in students to the impending mathematics lesson. However, have teachers considered playing games as the central part of the lesson? This article explores…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

This paper presents learning tasks of a new type that are made possible by dynamic geometry software and discusses reasons why it takes time for teachers to design and use such tasks. The paper is divided into four sections: (1) The Spatial and the Theoretical; (2) Tasks in Dynamic Geometry Software Fostering the Learning of Geometry; (3) The…

The effective use of technology in the mathematics classroom depends on the interaction between students and their peers, students and teacher, and students and technology. This report describes a study of the introduction of a cognitive teaching model for using graphing calculators in a secondary mathematics classroom in Hong Kong. Episodes of…

There is a popular view that arithmetic is only a collection of dull algorithms containing no interesting ideas. However, if one goes a little below the surface, it will become apparent that there are many fascinating ideas waiting to be discovered. The paper tries to show that mathematical ideas can be recognized and understood without the use of…

The National Council of Teachers of Mathematics (NCTM) has stated that mathematics programs should take full advantage of the power of calculators at all grade levels. This recommendation urges that students be provided access to calculators, and that calculator use be integrated into the core mathematics curriculum on a regular basis. This…

This second booklet of a two-part publication, designed as an in-service tool for teachers of grades K-9, concerns the teaching and curriculum aspects of problem solving. It is a digest of selected topics integral to successful problem-solving instruction. The resource is organized into independent units for individual reference or group…

This research-oriented document is designed to give teachers insights into many of the causes of instructional problems in mathematics and to enable teachers to plan instruction which will be more responsive to identified needs. Individual chapter authors synthesize mathematics research findings, which provide three functions: (1) to describe what…