Presents a selection of solutions of the "Three Hungry Men" problem from grade three to college students with three different strategies used: backward, forward, and forward/backward strategies. Provides error patterns in each strategy. Discusses some implications for teaching of problem solving. (YP)

Recommends an inquiry approach as the most effective use of computers in mathematics. Describes 10 types of computer software and nine applications of computers in mathematics. (YP)

Describes the use of spreadsheets. Presents four examples using a pre-designed format: repaying a loan, investigating functions, exponentials, and Fibonacci numbers. Provides three practice problems. (YP)

Discusses how calculators and computers can assist in the teaching of the basic mathematical competencies. (YP)

Abstracts six conference papers from the ISRAEL Association for Computers in Education. Included topics are spreadsheets for problem solving, concept acquisition with microcomputers, numerical mathematics, learning math as a science, studying polygons with LOGO, and a growth curve simulation of microorganisms. (MVL)

Children in grades four and five had instruction on fractions with a continuous manipulative aid to help transfer their knowledge to tasks with a discrete manipulative aid. Results suggest that discrete-embodiment tasks are more difficult than continuous-embodiment tasks. (MNS)

Examines problems of instructional evaluation in urban schools using signal-receptor assessment theory analysis and a new type of test scoring procedure called Modified Confidence Weighted-Admissible Probability Measurement (MCW-APM). Discusses advantages of MCW-APM. (FMW)

Examines the role of teacher effects in mastery-learning research. A review of the literature reveals the following: (1) failure to control for teacher effects; (2) tendency to redefine teaching as managing; and (3) tendency to reduce teaching from a professional to a technical field. (Author/BJV)

Interviews with (n=55) children and their teachers in years one, two, and three showed a closer association between knowledge of place value and levels of counting than between levels of counting and the ability to explain the counting sequence. (13 references) (MKR)

Describes the process through which four high-achieving second graders constructed their knowledge and misconceptions of rounding concepts gained from using computer-based practice sessions which provided full solutions to examples but without verbal explanations. (31 references) (MKR)

Describes the use of the "Microsoft Flight Simulator" with Dutch students 12- to 16-years-old to apply mathematical knowledge to real-life situations. The use of an overhead projector for class flights is described; and student activities, including converting metric units and drawing maps of the landscape, are explained. (LRW)

Investigates the probability of winning the largest prize at Bingo through a series of five simpler problems. Investigations are conducted with the aid of either BASIC computer programs, spreadsheets, or a computer algebra system such as Mathematica. Provides sample data tables to illustrate findings. (MDH)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

Prior studies indicate that, given time to develop their own algorithms, primary students will process multidigit addition or subtraction problems from left to right. Gives evidence to support that idea, describes methods of getting students to invent their own algorithms, and discusses advantages of child-invented procedures. (21 references) (MDH)

Presents 5 activities for the K-1, 2-3, 4-5, 6-8 grade levels and for in the home in which students explore the concept of combinations. Each activity includes a lesson plan to investigate a combinatorics problem appropriate for that grade level. Provides reproducible worksheets. (MDH)