We compared the effectiveness of a problem-solving and an external control intervention to teach social skills to five adults with mild intellectual disabilities. The social skills of ''responding to corrective feedback'' and ''managing conflict'' were targeted for intervention. Each participant received the problem-solving intervention with one…

The benefits of visualizing mathematics by using technology such as TI-92+ and mathematically oriented software (DERIVE 5 and CABRI II) are indisputable. On the basis of some examples we would like to show that visualizing techniques can help students to analyse certain mathematical problems better and give them strong support in finding formal…

Universal design is made up of four elements: accessibility, adaptability, aesthetics, and affordability. This article addresses the concept of universal design problem solving through experiential learning for an interior design studio course in postsecondary education. Students' experiences with clients over age 55 promoted an understanding of…

This manuscript reports on a preliminary study to examine the effect of teaching problem-solving skills on the task persistence of handicapped preschool children. Ten mildly handicapped children completed a series of lessons in which they were taught to use problem-solving strategies to complete fine motor tasks. Both qualitative and quantitative…

This work extends the theory of the fixed charge transportation problem (FCTP), currently based mostly on a forty-year-old publication by Hirsch and Danzig. This paper presents novel properties that need to be considered by those using existing, or those developing new methods for optimizing FCTP. It also defines the problem in an easier way,…

A point "E" inside a triangle "ABC" can be coordinatized by the areas of the triangles "EBC," "ECA," and "EAB." These are called the barycentric coordinates of "E." It can also be coordinatized using the six segments into which the cevians through "E" divide the sides of "ABC," or the six angles into which the cevians through "E" divide the angles…

In this paper, we discuss issues in planning and conducting research into mathematics learning. We emphasize two central themes: (a) the learners mathematics (especially the issues and ideas, in given problem situations, that learners' choose to think about and to present) and (b) the kinds of knowledge that learners may be building (including…

From time to time, the International Commission on Mathematical Instruction (ICMI) mounts studies to investigate in depth and detail particular fields of interest in mathematics education. This paper is the Discussion Document of the forthcoming ICMI Study 16, "Challenging Mathematics in and beyond the Classroom."

For this study, we examined the cogency, comprehensiveness, and viability of team-based problem solutions of a Web-based hypermedia case designed to promote student understanding of the practice of instructional design. Participants were 14 students enrolled in a graduate course on advanced instructional design. The case was presented to students…

Skepticism about online instruction often erroneously blames the electronic medium for shortcomings in instructional design or technique. This essay discusses the performance expectations for fully online group problem-solving via threaded discussion boards. Four years of administering this assignment in a basic oral communication course yield…

Most of the research on academics and attention deficit hyperactivity disorder (ADHD) has focused on reading disorders in children with ADHD rather than difficulties in mathematics. In this article, we provide a comprehensive review of studies focusing on students with attention deficit disorders with or without hyperactivity and 1 area of…

We report on an investigation of students' ideas about gravity after a semester of instruction in physics at university. There are two aspects to the study which was concerned with students' answers to a carefully designed qualitative examination question on gravity. The first aspect is a classification of the answers and a comparative study of…

To understand the conditions under which age differences in everyday problem-solving performance occur, this study investigated individual and collaborative problem solving. Younger (24 females, 24 males; M age = 19.98, SD = 1.43) and older adults (25 females, 24 males; M age = 71.14, SD = 6.65) worked either alone or with a same-sex friend to…

Preschool children are often good at counting things but seem slow to learn that there is more to counting than simply finding out how many are in a single set. Counting is useful when comparing sets and when creating new sets to match existing ones. This is part of the numerical understanding that educators wish to foster in schools. In two…

Assignments were altered to determine if interspersing additional briefer and easier mathematics problems enhanced students' accuracy on longer, more difficult target problems across two types of mathematics assignments. Students (N = 52) from three fifth-grade classes completed six math assignments incorporating two task demands and three…