Describes a study whose purpose was to develop and validate a set of belief scales for measuring secondary school and college students' beliefs about mathematics as a subject, how mathematics is learned, and mathematical problem solving. Provides an example of the "Indiana Mathematics Belief Scales." (MDH)

To determine how middle school students cope with the demands of arithmetic word problems, 140 eighth graders (67 males and 73 females) had to solve problems modeled after those of the National Assessment of Educational Progress. Extraneous information and extra steps reduce the accuracy of students' word problem solutions. (SLD)

Discusses definitions of problem solving, sources of real problems, selection of data for use in problems, developing strategies for solving, and deciding when solutions are acceptable. (MKR)

Assessment of 121 nondisabled elementary boys and 107 boys with attention-deficit hyperactivity disorder (ADHD), ages 7 through 14 years, found significantly lower problem-solving scores in specific math concepts and slower computational performance for the boys with ADHD when reading and problem structure were held constant. Instructional…

Examines the scope and nature of upper elementary school pupils' difficulties with modeling and solving nonroutine additive word problems. Concludes that many errors result from the superficial, stereotyped approach of adding or subtracting two given numbers without considering the appropriateness of that action in relation to the problem context.…

Deals with the importance of problem solving and how cooperative learning can play a role in helping students solve problems. Emphasizes the importance of communicating mathematical concepts through reading, writing, and discussing. Gives specific suggestions for implementing cooperative learning in the classroom. Presents a classroom example of…

This study evaluated the effectiveness of teaching multiplication facts and related word problems using the concrete-representational-abstract teaching sequence and strategy instruction to three middle school students with mental retardation. Evaluation of the 21 scripted lessons given each student found only four occurrences (out of 63 lessons)…

Investigates the relative contribution of two main components often used in the instruction of arithmetic and word-problem solving to first-grade children and children with learning problems: external representation with manipulatives and formal mathematical representation with number sequences. Four computer-aided treatments were developed along…

This paper describes how eighth-grade students in a remedial math class were able to match the problem solving performance of comparison students in a pre-algebra class. It discusses the use of video-based anchored instruction linked to applied problems to develop students' understanding and skills. (Contains references.) (DB)

The purposes of this study were to assess the effects of schema-based instruction (SBI) in promoting mathematical problem solving and to investigate schema induction as a mechanism in the development of mathematical problem solving. Twenty-four 3rd-grade teachers, with 366 students, were assigned randomly to conditions that provided instruction on…

There has been little research in the UK into how students learning English as an additional language (EAL) learn mathematics. This article reports results from a three-year study of the participation of learners of EAL in Year 5 in an arithmetic word problem task. The research, drawing on ideas from discursive psychology, used discourse analysis…

Background: This study examined the effects of different approaches to teaching learners with mild intellectual disabilities to solve mathematical word problems. Method: Thirty Chinese students with mild intellectual disabilities from a special school in Hong Kong were taught using conventional instruction, worked example instruction, and…

Sex-related differential studies on mathematical abilities have hardly taken into account the mediator role of the verbal factor, which contrasts with the interest shown in the mediator role of visuospatial aptitude. We predicted that if sex-related differences were found, mental rotation would mediate mathematical abilities typically favoring…

This study evaluated the validity of curriculum-based word problem-solving measures as indicators of proficiency in mathematics with a sample of 77 children in third grade. In the winter and spring of third grade, children completed a battery of general achievement tests in mathematics in addition to curriculum-based problem-solving and…

This descriptive study was aimed at looking into how Primary 5 pupils solve pre-algebra problems concerning patterns and unknown quantities. Specifically, objectives of this study were to describe Primary 5 pupils' solution strategies, modes of representations and justifications in: (a) discovering, describing and using numerical and geometrical…