Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

The consistency with which students apply procedural rules for solving signed-number operations across identical items presented in different orders was examined in a study involving 161 eighth graders. Inconsistent rule application was common among students who had not mastered signed-number arithmetic operations. (TJH)

This classic reprint was first published in 1955. Fehr discusses how to determine what is taught, and makes specific comments on the roles of planning, meaning, practice, learning, and problem solving. (MNS)

An examination of the status of teaching mathematics to deaf students showed that teachers ignore the hands-on exploration of objects that promotes conceptualization of basic mathematic principles. An arithmetic teaching strategy is proposed which is activity-based and is derived from Piaget's theory of intellectual development in children.…

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)