This paper reports on findings from a five-teacher, exploratory case study, critically observing their implementation of a technology-intensive, augmented reality (AR) mathematics curriculum unit, along with its paper-based control. The unit itself was intended to promote multiple proportional-reasoning strategies with urban, public, middle school…

This article begins to unravel the question, "What curricular materials work best under what kinds of conditions?" The authors address this question from the point of view of teachers and their ability to implement mathematics curricula that place varying demands and provide varying levels of support for their learning. Specifically, the…

This article presents an interview with Michael Hacker and David Burghardt, codirectors of Hoftra University's Center for Technological Literacy. Hacker and Burghardt address issues related to technology and engineering. They argue that teachers need to be aware of the problems kids are facing, and how to present these problems in an engaging…

This study evaluates a curriculum policy that required college preparatory coursework for all students, using data from Chicago Public Schools (CPS). Beginning in 1997, CPS ended remedial coursework and required all students to complete a college-preparatory course sequence for graduation. In this study, the authors constrain their analysis to the…

International studies on the knowledge of mathematics at the generalist-class teaching level have indicated that Slovene students are quite skilled at computations, but have difficulties solving mathematical problems. This finding stimulated us to create a problem-based instruction model. We wanted to find out whether the students in the…

Many mathematics teachers opt for a strictly teacher-centred curriculum and/or instructional strategy. Given the well-documented evidence noting the benefits of student-centred instruction, it is easy to see that teacher-centred learning on its own cannot best meet the needs of students. On the other hand, some teachers, aware of the importance of…

In this Appendix, we provide details about the data used for the current study, the curricula used in the classrooms from which data were collected, and the current study's methodological approach. (Contains 14 tables and 5 footnotes.)[For full report, see ED544189.]

The important role of beliefs in the learning and teaching of mathematics has been largely acknowledged in the literature. Pre-service teachers, in particular, have been shown to possess mathematical beliefs that are often traditional in nature (i.e. viewing teachers as the transmitters of knowledge and students as the passive recipients of that…

GRADES OR AGES: Kindergarten. SUBJECT MATTER: Using Cuisenaire rods. ORGANIZATION AND PHYSICAL APPEARANCE: The guide contains a short introductory section followed by a sequential series of 40 lessons. Diagrams are interspersed throughout the text. The guide is mimeographed and spiral bound with a soft cover. OBJECTIVES AND ACTIVITIES: The…

This thesis explored the history of calculator usage in mathematics classrooms in the United States since 1975 with a focus on the attitudes of parents, educators, and national organizations. The influence of historical events, people, organizations, research, and trends was explored in depth. Studying the changes that calculators have brought to…

According to a new federal report, the qualities of an effective mathematics teacher remain frustratingly elusive. The report of the National Mathematics Advisory Panel does not show what college math content and coursework are most essential for teachers. While the report offered numerous conclusions about math curriculum, cognition, and…

Poor math performance is a major concern leading the current educational reform agenda. Many educational math critics are claiming a math crisis. Researchers and school personnel are trying to resolve this crisis. Some are looking at curriculum-based evaluation (CBE) as a process for solving this problem. CBE and curriculum-based measurement (CBM)…

Gifted middle school mathematics students often exhibit boundless energy, a desire to exert some degree of control over their learning, and an ability to think logically and abstractly in ways that astound their parents and teachers. Middle school math curriculum that combines guided investigations of real-life problems with product-based…

When ethnomathematical ideas, that is, the mathematical ideas of different cultural groups, are included in mathematics curriculum texts they can become part of the learning experience in various ways. Once included in western classroom mathematics texts, the ethnomathematical ideas become transformed. The transformations involve changes in form…

The purpose of this study was to develop short-duration assessment measures hypothesized to be valid samples of early mathematical behavior. The Early Numeracy Skill Indicators were designed using a curriculum-based assessment approach. Participants included 64 kindergarten children from a school district in the rural Northeast. Design components…