Three instructional approaches on translating selected types of algebra word problems were investigated: direct translations, high imagery with materials, and high imagery with drawings. Participating were 366 seventh grade and 336 ninth grade students. Treatment effects by grade used multivariate analysis of covariance for student scores and…

The paper reports a study of the knowledge preservice secondary school mathematics teachers [PSSMT] hold of problem solving and the role of a reflective-inquiry approach in creating self-awareness of, and in enhancing, this knowledge. The approach included solving problems, narratives, flow charts and observations. The finding shows that the…

Predictors of retrieval times produced by students having difficulty developing a reliance on retrieval for simple addition were discovered. The findings support the notion that separate limitations operate in working memory when retrieval occurs and call into question the use of the term "retrieval deficit" to explain difficulties…

In a descriptive study of 103 grade 1 children, including 16 longitudinal case studies, we investigated the use of mathematical structure across a range of mathematical tasks. Children's structural development was inferred from their imagistic representations, supported by analysis of problem-solving behavior during videotaped task-based clinical…

Secondary school students' use of multiplicative strategies in an exploratory New Zealand Numeracy Project was examined. This Numeracy Project enabled teachers to interview each of their students concerning their mathematical knowledge and strategies. The percentage of students who used multiplicative strategies increased from initial to final…

This paper presents the design, implementation, and evaluation of an interactive hypermedia math program which focuses on multiplication and problem solving. The program contains a thematically meaningful story about a lost dog named Addy. The work is based on instructional design principles defined by Walter Dick and Lou Carey (1990) in their…

This paper presents an inquiry into teaching and learning practices in a Year 11 mathematics class at a private college for girls in Western Australia, studying a topic on vectors. The focus is on learning through problem-solving, where students used graphics calculators as a matter of routine. Constructivist and sociocultural theories were…

Four uses of microcomputers in elementary science education are discussed. These include: (1) drill and practice; (2) simulation; (3) problem solving; and (4) programing. Indicates that mathematics instruction may be enhanced in the same ways. (JN)

Learning activities designed to help students gain experience in reading three types of maps and in using the results to solve multistep problems about average speed and cost per mile are presented. Worksheets suitable for reproduction are provided. (MP)

The aims of the article are: (1) to outline the general tenets of the "back to basics" movements; (2) to indicate how these tenets go counter to emerging research on hemispheric specialization; and (3) to suggest methods which are brain-compatible and likely to produce competent creative problem solvers. (Author/TG)

Describes a 7-year-old whose mathematical performance in class embodies much of what is important according to "Curriculum and Evaluation Standards for School Mathematics". She speaks little English and therefore scores low on standardized, norm-referenced tests. Concludes that changes in curriculum and classroom instruction require changes in…

Examined is the relationship between junior high school students' directional reasoning about rates and numerical reasoning on proportion-related word problems. The relationship between the ability to solve context-free fraction exercises and the ability to solve mathematically similar word problems is discussed. (KR)

Described are the general problem-solving strategies and their nature and functions. The importance of integrating different types of general problem-solving strategies with content-specific teaching in mathematics classes is discussed. (KR)

Presented is an activity in which students apply familiar concepts of geometry to novel settings. Using square dot paper and isometric dot paper, students trace routes and determine the geometry of each circle. (KR)

Describes the results of three years of field-work and the prospects for change in algebra teaching as a consequence of using computers and calculators. Summarizes the structure of text materials, classroom organization, and students' responsibilities. (YP)