This article presents an in-class Monte Carlo demonstration, designed to demonstrate to students the implications of multicollinearity in a multiple regression study. In the demonstration, students already familiar with multiple regression concepts are presented with a scenario in which the "true" relationship between the response and…

The focus of this study was on comparing three groups of Algebra I 9th-year students: one group using linked representation software, the second group using similar software but with semi-linked representations, and the control group in order to examine the effects on students' understanding of linear relationships. Data collection methods…

We report on the development of students' ideas of probability and probability density in a University of Maine laboratory-based general education physics course called "Intuitive Quantum Physics". Students in the course are generally math phobic with unfavorable expectations about the nature of physics and their ability to do it. We…

General math students--the first quartile in math--are having trouble passing the Washington Assessment of Student Learning (WASL), and there are several reasons why: (1) They have poor math skills and not much aptitude; (2) They never see all of the needed curriculum; (3) Their learning style directly conflicts with the organizational patterns in…

With testing and accountability on everyone's mind, teachers are looking for creative ways to teach "all" subjects. Literacy is on the top of the list for testing, so it seems to get top priority. But how can teachers make sure that mathematics, especially a crucial area such as algebraic thinking, is a priority as well? Integrating subject matter…

An individualized project is introduced to accompany a differential equations course with different modules ranging from standard to advanced levels with "Matlab" scripts. (Contains 1 figure.)

The principal objective of this study was to gain insight into preservice elementary teachers understanding of the mean. Specifically, the research focused on identifying preservice teacher conceptions of the role and function of the mean as a statistical measure. Multiple data sources and data collection methods were utilized in an effort to…

The paper is based on research carried out on secondary school students and students commencing their university studies in mathematics. The basic purpose of the research was to investigate the understanding of the concept of a sequence and to determine the sources of the formation of revealed conceptions. To achieve the objectives an expanded set…

This article summarizes the basic concepts of multiplication and provides some evidence that the traditional third-grade curriculum and instruction emphasizing memorization of multiplication facts produces much less understanding of the basic concepts of multiplication than a standards-based curriculum and instruction emphasizing construction of…

The purpose of this study was to describe elementary preservice teachers' difficulties with understanding algebraic generalizations that were set in an authentic context. Fifty-eight preservice teachers enrolled in an elementary mathematics methods course participated in the study. These students explored and practiced with authentic, hands-on…

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…

This paper summarizes the discussions of a workshop that brought together 74 neuroscientists, cognitive psychologists, education researchers and practitioners, and policymakers to explore the possible relevance to early childhood education and special education of recent developments in neuroscience and cognitive psychology. The report discusses:…

The requirement that schools in England and Wales assess their students, at age seven, in English and mathematics has created a demand for an assessment of students at their entry to statutory schooling. This paper reports on the development and standardization of a test of mathematical concepts for students aged four and over (four plus) as they…

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, as well as regular features presenting book and software reviews and math problems. The first of two issues of volume 14…

This document was designed to help teachers and other school district personnel plan and teach Algebra I and Algebra II in the junior high and high schools. An overview of the Algebra I and Algebra II courses presents the philosophy of algebra instruction for Texas schools, the expected use of technology in mathematics instruction, teacher…