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)

Analyzed students' reasoning with fractions. Found that skilled students applied strategies specifically tailored to restricted classes of fractions and produced reliable solutions with a minimum of computation effort. Results suggest that competent reasoning depends on a knowledge base that includes numerically specific and invented strategies,…

Normally achieving students (n=119) and students with mild handicaps (n=83) in grades 3-6 were instructed to create and answer computation items similar to samples given. Students with mild handicaps understood item characteristics enough to create like items, though averaging three years behind normal achievers. A sample instructional activity is…

This study analyzed relations between student achievement in the domain of fractions and the extent to which classroom practices are aligned with principles recommended by current reform frameworks. Hierarchical linear-model analyses revealed that alignment of classroom practices with reform principles was related to student achievement in problem…

A literature search to identify and analyze mathematics interventions for students with mild-to-moderate mental retardation found the focus of instruction has shifted since 1989 from basic skills instruction to computation and problem-solving instruction. Techniques such as constant-time delay, peer tutoring, time trials, and direct instruction…

This paper proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problem is according to the process of constructing a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

Enzyme kinetics is a difficult subject for students to learn and for tutors to teach. During the practicals included in the biochemical courses at the Faculty of Chemistry of Universidad Nacional Autonoma de Mexico, we found that the students acquire good training in the calculations to obtain kinetic parameters such as K[subscript m], V[subscript…

This microgenetic study investigated similarities and differences in use and discovery of addition strategies in children with and without mild mental retardation across 24 sessions. Nine children with mild mental retardation in third through fifth grade classrooms and 14 children without mental retardation in kindergarten classrooms were tested…

This book presents 129 problems selected from the calendar problem section of the "Mathematics Teacher" to supplement regular mathematics textbook offerings for middle grade teachers and students. The problems are categorized by six topics: (1) Numbers; (2) Computation; (3) "Oldies but Goodies"; (4) Offbeat and Unusual; (5)…

This publication, the sixth of seven booklets intended for adult education teachers of students with learning disabilities, reviews assessment and remediation considerations in mathematics. Observation of math disabilities is discussed in terms of social and general academic environment, calculation activities, quantitative concepts, and applied…

This is an effective drill and practice activity that does not use consumable materials. It does not teach math facts, algorithms or concepts. It provides immediate feedback to the learner and can be easily modified for use in many curriculum areas. It is self correcting because the student can identify errors without assistance and provides…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on how to use calculators to perform the computation required to solve mathematical problems. Using calculators as an aid to computation can…

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

This material describes two games, Minicomputer Tug-of-War and Minicomputer Golf. The Papy Minicomputer derives its name from George Papy, who invented and introduced it in the 1950's. The Minicomputer is seen as an abacus with the flavor of a computer in its schematic representation of numbers. Its manner of representation combines decimal…