This article describes the use of a case report, Multiplication as original sin (Corwin, R. B. (1989). "Multiplication as original sin." "Journal of Mathematical Behavior, 8", 223-225), as an assignment in a mathematics course for preservice elementary teachers. In this case study, Corwin described her experience as a 6th grader when she revealed…

The Greek astronomer Ptolemy of Alexandria (second century) and the Indian mathematician Brahmagupta (sixth century) each have a significant theorem named after them. Both theorems have to do with cyclic quadrilaterals. Ptolemy's theorem states that: In a cyclic quadrilateral, the product of the diagonals is equal to the sum of the products of two…

The purpose of this article is to present a collection of problems that allow students to investigate magic squares and Latin squares, formulate their own conjectures about these mathematical objects, look for arguments supporting or disproving their conjectures, and finally establish and prove mathematical assertions. Each problem is completed…

Internal and external validity are key concepts in understanding the scientific method and fostering critical thinking. This article describes a class demonstration of a "botched" experiment to teach validity to undergraduates. Psychology students (N = 75) completed assessments at the beginning of the semester, prior to and immediately following…

This study investigated the effects of a training package (written manual, individual training session, and ongoing verbal feedback) on middle school peer tutors' use of embedded, constant time delay procedures and on the learning outcomes for students with significant cognitive disabilities in general education settings. The study data showed…

In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has subsequent lessons. This model is presented in detail through the processing of a nonstandard theme--the theme of decomposition of planes. Its efficiency…

Knowledge about self-regulation and motivation processes enables students to maximize their college career paths and allows universities to implement better intervention programs to encourage struggling students to persist and complete their educational studies. College administrators and instructors should focus on developing interventions to…

Background/Context: For over two decades, the boundaries between the social sciences and the humanities have become blurred, and numerous articles and books have been written about the infusion of the arts in qualitative research as a means to collect and analyze data and to represent findings. Yet these arts-based research processes, although…

The objective of this paper is to draw attention to four features that distinguish the pedagogy of patient interviewing from the teaching of other clinical skills: (a) students are not naive to the skill to be learned, (b) they encounter role models with a wide variability in interviewing styles, (c) clinical teachers are not usually specialists…

A syllabus analysis instrument was developed to assist program evaluators, administrators and faculty in the identification of skills that students use as they complete their college coursework. While this instrument can be tailored for use with a variety of learning domains, we used it to assess students' use of and exposure to computer…

This guide is intended to help elementary school educators as well as school and district administrators develop and implement effective prevention and intervention strategies that promote positive student behavior. The guide includes five recommendations and indicates the quality of the evidence that supports them: (1) Identify the specifics of…

It is well known that the uniform limit of a sequence of continuous real-valued functions defined on an interval I is itself continuous. However, if the convergence is pointwise, the limit function need not be continuous (take f[subscript n](x) = x[superscript n] on [0, 1], for example). Boas has shown that the pointwise limit function of a…

This article focuses first on fundamental trends weakening the European--specifically, the Slovenian--economy and social structure, which are creating a two-class system consisting of an undereducated/uneducated population unable to compete for employment in an economy increasingly requiring more education to update employees' skills. Learning and…

The National Staff Development Council (NSDC), a private, nonprofit association, has outlined high standards for educator professional learning. One demonstration of NSDC's commitment to the goal of ensuring all schools support and use high standards for professional learning is the organization's investment in developing an instrument to assess…

In this article, the author presents some interesting geometric fallacies that were used in a problem-solving course for preservice high school mathematics teachers. He states that presenting these fallacies in ordinary math classes can enrich the class by making the students think hard about both the theorems themselves and the steps in the proof…