Analysis of protocols from think-aloud paired problem-solving sessions of 2 year-11 students found that, although the students were generally successful in coordinating their different, yet complementary, problem-solving roles, their metacognitive decision making was sometimes adversely affected by the social interaction between them. (17…

Notes that the current emphasis on nonroutine problem-solving techniques causes mathematics teachers to confront anxiety in their students more than ever. Suggests that, by using methods from Transactional Analysis, caring teachers can expand their affective role in helping students with mathematics anxiety by showing them how to get past their…

Discusses the mathematics involved in comparing the purchase of an automobile with cash versus with a loan. Investigates two scenarios: (1) if a loan is taken out and the cash price is invested at a fixed rate, and (2) if cash is paid and monthly payments are invested over the period of the loan. (MDH)

Describes a study to determine middle school children's representational strategies to form part-whole or part-part relationships for relational numbers such as proportions, ratios, or fractions. Quantitative and qualitative analysis revealed that children prefer a part-part representation to solve relational quantity problems. (15 references)…

Described is a strategy that allows students to experiment with probability without applying formulas to solve problems. Students are able to intuitively develop concepts of probability before formal definitions and properties. Sample problems are included along with BASIC programs for some of the problems. (KR)

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)

Presents a problem solving strategy developed by a second grade student that goes beyond modeling an intuitive or informal interpretation of an operation to solve division problems. Concludes that good teaching should build on pupil's existing preinstruction knowledge and recognize a pupil's attempts at creative solutions. (MDH)

This article presents a lesson plan for teaching students the third of five steps for solving mathematical problems, "lining up a plan." Steps for teaching students to visualize the problem and draw a picture of the problem are given. (DB)

Eye-fixation analysis of 38 undergraduates allowed identification of phases in solution of arithmetic word problems and location of students' difficulties with inconsistent problems within the phases. Results indicate that the locus of the inconsistency effect lies outside the execution phase of problem solving. (SLD)

Presents a study of problem-solving activities in a hypermedia representation of a theorem-proving problem. Qualitative analyses of user activities and responses to questions asked while using a system called HUGH&ME are described. The need for hypermedia-based tools to support expression and refinement of reasoning during problem solving is…

Quantitative literacy for students with deafness is addressed, noting work by the National Council of Teachers of Mathematics to establish curriculum standards for grades K-12. The standards stress problem solving, communication, reasoning, making mathematical connections, and the need for educators of the deaf to pursue mathematics literacy with…

Proposes that state legislatures are a laboratory for mathematics. Discusses the mathematics involved in the three income tax proposals submitted to the Connecticut General Assembly in 1991 and the effects that each plan would have on families. The proposals included a flat rate plan, a graduated rate plan, and a compromise proposal. (MDH)

Presented is a conversation with students that gives an insight into the ways students think about decimals. Students were introduced, with the use of a calculator, to decimal notation and systematic experimentation. What students had learned throughout this conversation is discussed. (KR)

This paper reviews 25 studies of intervention research in mathematics with subjects classified as mentally retarded. Research has primarily been conducted in three areas: basic skills and concepts; rule learning and problem solving; and applications, including time, money, and measurement skills. Results are discussed in relation to instructional…

Presented is the problem of determining alternative schedules for major league baseball. Equations of the schedule, conditions on the solutions, and solutions are discussed. (CW)