Although an understanding of radiometric dating is central to the preparation of every geologist, many students struggle with the concepts and mathematics of radioactive decay. Physical demonstrations and hands-on experiments can be used to good effect in addressing this teaching conundrum. Water, heat, and electrons all move or flow in response…

This mixed methods study explores the relationship between ninth grade academy in South Carolina public high schools and student achievement in 84 high schools matched on poverty index and school size. The 2007 and 2008 South Carolina school report card data were used to gather information about the individual schools. The presence or absence of a…

In the No Child Left Behind Act (NCLB), Congress called for the U.S. Department of Education (ED) to conduct a rigorous study of the conditions and practices under which educational technology is effective in increasing student academic achievement. A 2007 report presenting study findings for the 2004-2005 school year, indicated that, after one…

The watchword of this year's Brown Center Report is caution--caution in linking state tests to international assessments--"benchmarking" is the term--caution in proceeding with a policy of "algebra for all eighth graders," caution in gleaning policy lessons from the recent progress made by urban schools. State and local budget…

The focus of this research is to develop an initial framework for assessing and interpreting students' level of understanding of mathematical equivalence. Although this topic has been studied for many years, there has been no systematic development or evaluation of a valid measure of equivalence knowledge. A powerful method for accomplishing this…

This study focused on examining the effect of two alternative school types on student success in Mississippi. To determine alternative school type, alternative program directors self-reported program design, and schools were divided into two groups. Type I schools were defined as "punitive-based" programs in which students receive…

This study examines the influence of reading and planning from two differently organized mathematics textbooks on prospective high school mathematics teachers' pedagogical content knowledge and content knowledge of exponential functions. The teachers completed a pretest and two posttests. On the pretest, the teachers possessed an incomplete…

The life and work of J. J. Sylvester, a mathematician who developed the theory of determinants, are briefly described. (SD)

This paper illustrates a different conception of arithmetic, an arithmetic with reasons as well as rules. This arithmetic includes making connections between different representations and making sense of rules as well as using them. It provides a foundation for "Algebra the Web of Knowledge and Skill" in the sense that algebra can be…

This textbook, designed for at least one and one-half year's work in algebra, is intended for the use of those schools which find a one-book course best adapted to their needs. Experience thoroughly justifies a careful review at the beginning of the third half year's work. As the first twenty-three chapters contain the greater portion of the usual…

This textbook combines the material of the "New First Course in Algebra" and the "New Second Course in Algebra" in a form convenient for use in courses of more than a year in length. A large amount of review material is to be found at the point where the second year of work commences, since it was felt that there should be an…