A competitive mathematics program for deaf and hard of hearing junior high students is described. Rules for the competition were developed and a "Math Bowl" was implemented among six schools for the deaf. Sample problems are included. (DB)

Shares different students' solutions for a problem entitled Food for Thought from Jay's Dinner, which appeared in the March-April 1998 issue of Mathematics Teaching in the Middle School. The problem involves determining the maximum area to be fenced in by 60 feet of fencing. (ASK)

Considers the role of word problems in physics education and proposes that word problems serve as exemplars of prototype categories that play a key role in enculturating students into the community of the physics literate. Contains 25 references. (ASK)

Reviews the conditions for reading comprehension applicable to solving math word problems. Describes the approaches used by three bilingual teachers to enhance the problem-solving skills of second language learners. (NH)

This case study examines the validity of 1 measure of representation and employs multiple measures to examine whether they provide mutually informative or independent pieces of information. These measures include (a) concept maps, which measure how individuals represent their content knowledge of a domain as a whole; (b) problem sorts, which…

This study was designed to determine a word problem difficulty classification in children with arithmetic learning disabilities (ALD; n = 104) in comparison with typically achieving students (n = 44). We tested variables such as (a) semantic structure (Change, Combine, Compare, and Equalize), (b) operation (subtraction and addition), and (c)…

Previous research has shown that students construct equations for word problems in which many of the terms have no referents. Experiment 1 attempted to eliminate some of these errors by providing instruction on canceling units. The failure of this method was attributed to the cognitive overload (Sweller, 2003) imposed by adding units to the…

The way in which two teachers, Elizabeth and Carolyn, posed problems to develop their own conceptual understanding of division of fractions in terms that would also be meaningful for their students is described. Carolyn and Elizabeth's approach is to pose several problems of various degrees of difficulty and complexity for each aspect of the…

The study of preservice elementary teachers' knowledge of fractions is important because fractions are notoriously difficult to learn and teach. Unfortunately, studies of preservice teachers' fraction knowledge are limited and have focused primarily on division. The present study included all four operations to provide a more comprehensive…

The focus of this article is intervention for third-grade students with serious mathematics deficits at third grade. In third grade, such deficits are clearly established, and identification of mathematics disabilities typically begins. We provide background information on two aspects of mathematical cognition that present major challenges for…

This study investigated factors promoting the use of self-constructed diagrams by examining students' perceptions and daily class activities, and comparing Japanese (n = 291) and New Zealand (n = 323) students. Algebra word problems and a questionnaire were administered. The results revealed that the New Zealand students used diagrams more often…

Background: Studies on rewording word problems can be grouped into two main groups: situational rewording, in which the situation denoted by the text is described more richly, and conceptual rewording, in which the underlying semantic relations are highlighted. Aims: Our aims are to define and distinguish these two kinds of rewording and to test…

This article looks at how children in preschool through second grade intuitively solve mathematical problems rather than using textbook strategies with a single path to a solution. The authors discuss Cognitively Guided Instruction (CGI), a curriculum approach that helps teachers understand and encourage children's use of intuitive strategies.…

Both virtual and physical manipulatives are reported as effective learning tools when used with different groups of students in a variety of contexts to learn mathematical content. The use of multiple representations and the flexibility to translate among those representational forms facilitates students' learning and has the potential to deepen…

Research has documented the relationship between attributions and metacognition in the areas of memory, visual discrimination, and reading. The present study extended this research into the domain of mathematical problem solving. Thirty ninth-grade students who attributed performance to strategy, effort, or unknown causes were videotaped and asked…