Uses projectile motion to explain the two roots found when using the quadratic formula. An example is provided for finding the time of flight for a projectile which has a negative root implying a negative time of flight. This negative time of flight also has a useful physical meaning. (MVL)

Analyzes the notion of structuring resources and their role in shaping mathematical activity. Examines ways in which nurses conceptualize ratio and proportion problems and provides a case study of two nurses discussing conflicting strategies when monitoring the fluid balance of a patient. Draws out some implications for the design of viable…

Reports on an intensive study of problem-solving activity of female students at the senior secondary level. Focuses on both the mathematical processing and the underlying cognitive and metacognitive activities that led to that processing. Concludes that all successful groups displayed a high number of key points where metacognitive decisions could…

Introduces a model of differential equations for students--a very real overpopulation problem is occurring in the Ndumu Game Reserve in KwaZulu-Natal, South Africa, where one species of antelope, the Nyala, is crowding out another species, the Bushbuck. Constructs a competing species model to mathematically describe what is occurring in Ndumu.…

Adds a cropping or harvesting term to the animal overpopulation model developed in Part I of this article. Investigates various harvesting strategies that might suggest a solution to the overpopulation problem without actually culling any animals. (ASK)

Describes a rich, investigative approach to multivariable calculus. Introduces a project in which students construct physical models of surfaces that represent real-life applications of their choice. The models, along with student-selected datasets, serve as vehicles to study most of the concepts of the course from both continuous and discrete…

Describes how various projects helped middle school students build mathematical conclusions through algebraic thinking as they used number patterns and verbal rules to explore the interrelationships of representations. Suggests some topics for projects. (AIM)

A study investigated the repertoire of cognitive schemes used by 15 adolescents with mental retardation in the process of solving additive word problems. Findings provide evidence of at least a partial part-part-whole scheme for about half of the students and more use of metacognitive knowledge than is usually expected. (Contains references.)…

This study extended use of the One-More-Than technique by using a "cents-pile modification"; one-, five-, and ten-dollar bills; and mixed training of all dollar amounts. Three high school students with moderate mental retardation each learned to use the technique to count out nontrained amounts and to make community purchases. (Author/PB)

Describes how to incorporate the concept of significant figures into science activities to promote understanding. Provides helpful classroom examples using measurements of volume and length. (SAH)

A study investigated whether an instruction designed to facilitate planning would have differential effects depending on specific planning, attention, simultaneous, successive (PASS) cognitive characteristics of 19 students (ages 12-14) with learning disabilities and mild mental impairments. Children with a cognitive weakness in planning improved…

A study examined the effectiveness of an intervention program designed to promote numeracy skills in children with deafness by addressing additive composition, additive reasoning, multiplicative reasoning, and ratio and fractions. The 23 participants in the intervention performed significantly better than 65 controls on a mathematics achievement…

Many students have traditionally found the processes of algebraic manipulation, especially factorisation, difficult to learn. This study investigated the value of introducing students to a Vedic method of multiplication of arithmetic numbers to algebra that is very visual in its application. This research considered a possible role of the…

Efficiency scores are determined for Canadian universities using both data envelopment analysis and stochastic frontier methods for selected specifications. The outcomes are compared. There is considerable divergence in the efficiency scores and their rankings among methods and specifications. An analysis of rankings, however, reveals that the…

Literacy educators have been actively theorising the demands of literacy in New Times yet mathematics educators have taken little of this debate up. If, as literacy educators suggest, literacy demands are different in these New Times, what are the implications for numeracy or mathematics educators? This paper explores perceptions of young and…