Interviewed 59 2nd- and 44 3rd-year elementary school students concerning their solutions to arithmetic problems commensurate with their age and ability. The results indicate that as children progress through school, they continue to use counting as an important part of their problem-solving repertoire, combining counting skills in idiosyncratic…

Three elementary students with behavioral disorders were trained to use a cognitive "cover, copy, and compare" strategy to learn division facts. Two students increased their rate of correct responding to mastery level, the third student required additional feedback and goal setting, and all three students maintained increased rates of…

Discusses three methods to teach the order of operations to middle school students: (1) asking students to fill in operations in a statement to obtain a given answer; (2) using mnemonics to remember operation order; and (3) having students discover the logic system used by their calculators. (MDH)

A study demonstrated that the problem-solving ability of 45 first grade, Hispanic, bilingual children was related to the semantic structures of word problems in a similar manner for both of the children's languages and in a manner similar to that of monolingual speakers. (Author/LB)

Examines the effects of competition and cooperation on learning through computer-assisted instruction (CAI). A questionnaire was administered to 457 Israeli fourth graders who used two CAI arithmetic systems. The characteristics of the systems are discussed, and the results of the survey are correlated to students' gender and achievement levels.…

Discussion of the use of computers for systematic individualization of instruction focuses on a study of elementary school students using computer-managed drill and practice in arithmetic in four different systems. A model for decision making in computer-managed practice systems is presented, and the role of the teacher is discussed. (43…

Simple connections between prime numbers, methods for obtaining prime numbers, characteristics of prime numbers, and the relationship of primes to high order numbers are discussed. (CW)

This article explains how this method is done, examines some reasons for including it as a topic in mathematics curricula, and uses modular arithmetic to explore its mathematical basis and its generalizability to computations in bases other than 10. (CW)

Discusses the study of identification codes and check-digit schemes as a way to show students a practical application of mathematics and introduce them to coding theory. Examples include postal service money orders, parcel tracking numbers, ISBN codes, bank identification numbers, and UPC codes. (MKR)

Discusses two approaches to solving word problems that consider the verbal text of the problem, and analyze it to obtain its mathematical expression, as well as its numerical solution. Uses two computerized programs for word problems to capture the various strategies employed by the problem solvers. Contains 21 references. (Author/ASK)

Studied the effect of homelessness on cognitive and academic functioning of children 6 to 11 years old in comparison to a control group of housed children in the same classroom. Found no differences in cognitive functioning between homeless and housed children, but did find that homeless children performed significantly more poorly than housed…

In this essay, the authors suggest that there is another, different and more ancient way of looking at the moral and social role of the teacher and the processes of education in which she is involved. This alternative perspective draws on older, more imaginative and complex sources of meaning than the latest Gallup poll or the latest adjusted…

The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…

The basic theory of Rasch measurement applies to situations where a person has a certain level of a trait being investigated, and this level of ability is what determines (to within a measurement error) how well the person does on each item in a test. This paper responds to frequent suggestions from colleagues that the use of Rasch measurement…

The present study compared the relative effects of 2 educational programs on kindergarten children. The experimental group took part in a numeracy-specific program, which focused on conceptual knowledge. Children were taught basic numerical skills such as understanding and handling numbers and their relations as well as counting principles. The…