Reports on a small-scale study of 13 dyads working at number tasks that found "sidework," a modified form of associative interaction, gave rise to more high order talk and to more posttest learning than did collaboration. Suggests sidework may have greater potential to enhance students' learning than the collaborative mode. (TJQ)

Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)

Describes a paradigm for generating a variety of problem situations in middle school mathematics, ranging from combining a single mathematical concept or process with a single context, to combining multiple concepts or processes with multiple contexts. Offers several illustrative examples. (SR)

Children aged four through six years were given identical addition and subtraction calculations presented in three problem-type formats: nonverbal problems, story problems, and number-fact problems. Results suggest that children's earliest calculation ability is based on experiences combining and separating sets of objects. Contains 34 references.…

The explicit, experimental introduction of a series of logical inconsistencies is described and recommended as a means of disrupting the faulty logic and, thereby, enhancing the use of more appropriate probabilistic reasoning by graduate students enrolled in an introductory inferential statistics course. (14 references) (JJK)

Explores the potential of television to elicit active participation in mathematics by reviewing research concerning the "Square One TV" television series. Types of participation that have been observed among viewers are described, and characteristics of "Square One TV" formats that have been particularly successful in eliciting…

The column for teachers of deaf students addresses issues in mathematics instruction including the impact of calculators, the need to ask students more "why" questions, the value of students writing about mathematics, and the effectiveness of pairing students for problem solving. (DB)

Polynomial algorithms are presented that are used to solve selected problems in test theory, and computational results from sample problems with several hundred decision variables are provided that demonstrate the benefits of these algorithms. The algorithms are based on optimization theory in networks (graphs). (SLD)

Comparison of problem preferences of six meaning-oriented and five number-oriented junior high school students found that the successful meaning-oriented students preferred solving multistep and nonroutine problems, whereas the less successful number-oriented students preferred simple routine problems. However, in graded situations all students…

A model for solving very large item selection problems is presented. The model builds on binary programming applied to test construction. A heuristic for selecting items that satisfy the constraints in the model is also presented, and various problems are solved using the model and heuristic. (SLD)

Describes the use of the measures of fluency, flexibility, and originality to assess students' responses to open-ended problems in mathematics classrooms. Contains 12 references. (ASK)

Examines solutions presented by preservice teachers for solving graphical and numerical problems involving the arithmetic mean. Participants presented two methods: algorithmic computation and balancing deviations about the mean. A significant difference was found between science and mathematics preservice teachers in the use of balancing…

Presents a study that investigates ways to promote the development of reasoning and problem-solving skills in a secondary mathematics classroom and summarizes the key concepts from sociocultural theory. Examines three cases in which students appeared to resist interaction and communication with their peers. Contains 11 references. (ASK)

Investigates changing teacher roles associated with two teachers' use of innovative mathematics materials at the sixth-grade level, in a setting that contained all the ideal ingredients for professional growth. Concludes that the greatest changes in the teachers' roles related to increasing comfort with posing non-routine problems to students and…

Using technology can empower students, but most U.S. schools fall short of this goal. The power of technology as related to other school subjects and problem solving is well documented in projects promoting integration of technology education with mathematics and science. National Science Education Standards are summarized. (26 references) (MLH)