Presents an activity for representing a given number in as many ways as possible using short periods of time to develop students' number sense and provide the teacher the opportunity to make informal student assessment and diagnosis. Provides specific dialogue of the activity being used in a third grade class. (MDH)

Discusses ways that calculators and computer microworlds, such as LOGO and Shape Makers, can be used as tools for exploration, problem solving, and empowerment in school mathematics. Includes suggestions for classroom activities. (Contains 12 references.) (MKR)

Rensselaer Polytechnic Institute (New York) is requiring all of its 1,000 freshmen to take required calculus courses utilizing the "Maple" computer program which can perform computations and quickly plot graphs. The program is intended to free students from meaningless manipulations and focus on concepts. Most students have reacted…

An activity in which students obtain a growth curve for algae, identify the exponential and linear growth phases, and calculate the parameters which characterize both phases is described. The procedure, a list of required materials, experimental conditions, analytical technique, and a discussion of the interpretations of individual results are…

Discusses mathematical tasks, classroom environments, and means of assessment that might encourage mathematical growth for middle grades students. Proposes a curriculum emphasizing mathematical connections, reasoning, and problem solving. Describes shifts in the culture of the mathematics classroom that support students' development of…

Kindergarten (n=30) and grade 1 (n=15) students of contrasting socioeconomic backgrounds were interviewed to assess their knowledge of number word sequences and spatial patterns and their ability to recognize numerals and use counting to establish numerosity of visible and screened collections. Findings indicate greater variation in abilities…

Presents an algorithm to estimate pi by approximating a unit circle with a sequence of inscribed regular polygons. Demonstrates the application of the algorithm with a hand-held calculator and an Apple computer. Provides a program to calculate pi in Pascal programing language. (12 references) (MDH)

Emphasizes a real-world-problem situation using sine law and cosine law. Angles of elevation from two tracking stations located in the plane of the equator determine height of a satellite. Calculators or computers can be used. (LDR)

Mathematics that exists in the Mende culture, an African tribe in Sierra Leone, includes counting, computation, ratios, fractions, forecasting games, and mathematical applications. Presents The Mende representations of these concepts and discusses implications of their integration into mathematics teaching. (MDH)

Argues that consideration should be given to whether teaching solubility product calculations is at all useful. Claims that experienced teachers seriously misunderstand and misuse solubility product calculations. (DDR)

This article discusses the importance of measurement in providing a foundation for mathematical study and how measurement can be integrated with other mathematical strands. (Contains 1 table.)

This article describes an investigation involving several designs of airplane wings in trial flight simulations based on a NASA CONNECT program. Students' experiences with data collection and interpretation are highlighted. (Contains 5 figures.)

Hierarchical linear modeling (HIM) is an approach used in data analysis to better understand how program outcomes are affected by the "nested" nature of data collected in many studies. An outcome can be considered variables such as an individual's self-efficacy, social skills, or more targeted outcomes such as demonstrated reading and mathematical…

In a previous paper, we showed the importance of using low-level commands of a CAS in order to enhance the students' conceptual insight into mathematics. In this paper, we wish to emphasise a different use of a CAS, which makes possible the exploration of new topics, when the necessary theoretical results have still not been acquired, and avoids…

One possible source of variation in children's mathematical abilities upon entry to school may be the social support of early number skills children receive in the home. In the present study, we explored parental support of preschoolers' counting in the context of an everyday activity and whether parental ability to provide aid is influenced by…