The purpose of this paper is threefold. First, the description of a research plan for a large-scale computer adaptive testing program migrating from a network to Internet version is presented. The general areas needed in such a research plan include: (1) comparability studies; (2) psychometric analyses; (3) development projects; (4) validity…

This brief report documents growth in mathematics achievement during the high school years and its relationship to differential course taking in mathematics. Data are taken from the National Education Longitudinal Study of 1988 (NELS:88), which was designed to monitor the transition of the nation's 1988 eighth graders as they progress from junior…

The purpose of this study was to determine if there would be a significant difference in the achievement levels of two groups of eighth-grade Algebra I students when one group receives instruction from a non-traditional (Saxon) method of instruction, and the other receives instruction from a traditional method (Fair and Bragg text). The study was…

A cognitive demands analysis of a learning technology, a term that includes the hardware and the computer software products that form learning environments, attempts to describe the types of cognitive learning expected of the individual by the technology. This paper explores the context of cognitive learning, suggesting five families of cognitive…

This analysis of postsecondary student preparedness and remedial education needs attending Florida community colleges focuses on two cohorts: 125,000 first-time-enrolled community college students enrolled in a community college over a three-semester period during 1993-94 and a cohort of over 18,000 public high school graduates (1994) enrolled in…

The initial development of a testlet-based algebra test was previously reported (Wainer and Lewis, 1990). This account provides the details of this excursion into the use of hierarchical testlets and validity-based scoring. A pretest of two 15-item hierarchical testlets was carried out in which examinees' performance on a 4-item subset of each…

A pentagonal model, based on the star model of function understanding of C. Janvier (1987), is presented as a framework for the design and interpretation of research in the area of learning the concept of mathematical function. The five vertices of the pentagon correspond to five common representations of mathematical function: (1) graph; (2)…

As almost every state revises its mathematics frameworks or develops new ones, current testing practices remain almost unchanged. The National Council of Teachers of Mathematics (NCTM), in its "Professional Standards for Teaching Mathematics," argues for greater emphasis on application, reasoning, and conceptual understanding, but the…

Project SEED is a U.S. nationwide program in which professional mathematicians and scientists from major universities, research corporations, and the community teach abstract, conceptually oriented mathematics to full-sized classes of elementary school children on a daily basis as an extra-period supplement to their mathematics program. The…

Constructed-response formats are desired for measuring complex and dynamic response processes that require the examinee to understand the structures of problems and micro-level cognitive tasks. These micro-level tasks and their organized structures are usually unobservable. This study shows that elementary graph theory is useful for organizing…

In two previous studies we investigated the non-routine problem-solving abilities of students just finishing their first year of a traditionally taught calculus sequence. This paper reports on a similar study, using the same non-routine first-year differential calculus problems, with students who had completed one and one-half years of traditional…

The teaching of mathematics from a multicultural perspective is discussed. The first two chapters present a rationale for a multicultural approach to teaching mathematics. The third chapter aims to show, through brief examples, how such an approach can be applied to any school curriculum. The remaining four chapters discuss, in greater detail,…

Differences among students can yield rich benefits as well as pose difficult problems during collaborative learning. Students can draw on diverse individual experiences to exchange information, to understand different expressions of shared commonalities, and to construct new possibilities jointly. However, they also face the potential pitfalls of…

Ways in which middle schools can better prepare their students are presented in this report. It discusses the national pattern of underachievement in basic mathematics and science and details how schools served by the Southern Regional Education Board (SREB) report that almost 50 percent of their eighth-graders are below the basic level in math.…

In 1996, North Carolina began a 5-year evaluation of Alternative Learning Programs (ALPs). This report describes selected outcomes for students who participated in ALPs during 1995-96. These outcomes include performance on North Carolina End-of-Grade tests (elementary school) and performance on the End-of-Course(EOC) tests (high school) for…