Under the "Math Science Partnership Grant," the Maui Hawaii Educational Consortium sought scientifically based evidence for the effectiveness of Carnegie Learning's "Cognitive Tutor[R]" (CT) program as part of the adoption process for pre-Algebra program. During the 2006-2007 school year, the researchers conducted a follow-on…

This article recounts the battle in the "math wars" that took place in Massachusetts, United States in 1999-2000 over the scope, content and teaching of the state's K-12 mathematics curriculum. Harsh controversies arose between the partisans of a "reform-math" movement stressing an undefined "conceptual understanding"…

In the scientific literature, the debate around the school and class effect is polarized, because the variance between schools and classes is explained either by school and class process or by group composition. The first aim of this article is to shed light on this debate and move beyond it by reviewing qualitative and quantitative studies…

This report describes the federally funded development and field testing of a math drill and practice computer software program for students with mild disabilities. Program features include: pre-assessment of pupil speed and accuracy, automatic placement of the pupil in appropriate problems for practice, automatic monitoring of pupil performance,…

An influential proposal about aquiring mathematical knowledge is that it entails linking instruction-based concepts to intuitions derived from informal activities. In the case of non-positive numbers, informal knowledge is unlikely to emanate from observing physical objects, because non-positive objects or sets of objects do not exist. However, it…

The articles in this annotated bibliography represent holdings of the Test Center in the area of assessment alternatives in mathematics. Presence on the list does not imply endorsement of the practices by the Test Center; rather, articles are made available to stimulate thinking and provide ideas. Some entries present informal assessments intended…

Title II of the Elementary and Secondary Education Act, reauthorized under the Hawkins Stafford Amendments, provides federal funds for the improvement of mathematics and science teaching at all levels of elementary and secondary education, targeting improvement of teacher skills, instructional quality, and student access to instruction. In 1993-94…

HyperProb is a Hypercard tutoring system designed to help students develop an effective step-by-step schema for solving probability problems. With this program, students are able to select areas they wish to study via hypermedia links and develop an understanding of terminology and procedures at their own pace with continued reinforcement. Nine…

The objective of this study was to investigate the effects of Logo Mathematics Tutorial Two (LMT2) for teaching polygons to minority students. The polygons were chosen to develop a sound foundation for further knowledge and exploration in geometry. The subjects (N=23) were middle and high school students that were trained using LMT2. The subjects…

This teacher support packet is based on Oregon's Academic Content Standards and Performance Standards which require higher skills of Oregon students at all grade levels. Under these standards, in order to receive a Certificate of Initial Mastery and at benchmark grade levels, students need to achieve a specific score on the statewide assessment…

This study explores seventh- and eighth-grade students' thinking about mathematical patterns. Interviews were conducted in which students solved problems about sequential perimeter and area problems modeled with pattern blocks and tiles, generalized the relationships related to the patterns and represented the relationships symbolically,…

This book is an outgrowth of a 2-year study of 284 children discovered during preschool or kindergarten to be advanced in mathematics. In addition to psychometric and cognitive testing conducted at the beginning, middle, and end of the study, half of the children attended biweekly interventions designed to enrich their experience with mathematics.…

Alternative perspectives and practices for describing and documenting teaching practice and student learning relevant to classroom reform are identified, and a framework is provided for characterizing these process-focused instruments and indicators. Diverse descriptors were used to locate documents describing instruments and procedures used to…

This report describes how the National Network of Eisenhower Regional Consortia and the Eisenhower National Clearinghouse are accomplishing their stated objectives. The report is organized into sections beginning with information about how to access the network. The topics of the remaining sections include: (1) Collaboration and Communication; (2)…

In this report, the author traces the recent development of standards for mathematics teaching. Two central tensions are examined: (1) the tension between arriving at consensus and effecting change; and (2) the tension between providing direction and affording discretion in practice. With a focus on the challenges inherent in the ambitious vision…