This experimental study compared the use of Belcastro rods with the use of traditional methods in teaching addition and subtraction of whole numbers to five blind students. Results showed a significant difference favoring the use of Belcastro rods. (Contains 30 references.) (MKR)

Explores algebraic thinking as children search for patterns while collecting, organizing, and graphing data and as they derive equations describing relationships found in the data. (ASK)

Presents a unit for fourth and fifth grades on fractions and mixed numbers in which students have to decrease and increase the number of servings of different recipes. Describes students' strategies for multiplying fractions, and discusses how the use of a ratio table facilitated their thinking. (ASK)

Recommends conducting interviews with students in order to grasp their understanding of fractions and provides interview questions. Presents results of a study using those interview questions and concludes student responses fell into three main categories: (1) described a mental image of an object; (2) drew a model of the fraction using a circle…

Suggests ways that schools and parents of young children with hearing impairments can work together to build math skills. Ideas for early math experiences that can be naturally included in everyday routines are presented in descriptions of five learning centers, focusing on logic and problem solving, time and money, fractions, conservation of…

Argues that basic components of discrete mathematics can be introduced to students through gradual elaboration of experiences with iconic spreadsheet-based simulations of concrete materials. Suggests that the study of homogeneous and heterogeneous patterns of manipulative spreadsheet templates allows for appreciation of the development of…

Provides information on the number sense of Taiwanese students in grades six and eight. Indicates that student performance on questions requiring written computation was significantly better than on similar questions relying on number sense. Supports the need to look beyond correct answers when computational test results are reported. Contains 29…

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

Studied number use in language by preschool children and their mothers during cooking experiences. Found that although children used a variety of number words, mothers made greater use of number words than did children. Strong relationship between reciprocal numeracy episodes (between mother and child) and child's number use suggests that adult…

This article describes a series of mathematics activities based on the book "A Grain of Rice," which are designed to help students understand powers of 2. Ideas for activities in other disciplines are also provided. (Contains 3 tables.)

Children's reported use of single and multiple search strategies during a matching numbers task, along with accompanying verbal (private speech, self-talk) and motoric (finger pointing, place-holding) strategic behaviors were examined with a large, nationally representative cross-sectional sample ("n"=1,979) of children between the ages of 5 and…

We consider human performance on an optimal stopping problem where people are presented with a list of numbers independently chosen from a uniform distribution. People are told how many numbers are in the list, and how they were chosen. People are then shown the numbers one at a time, and are instructed to choose the maximum, subject to the…

One explanation for the relationship between serial rapid naming (SRN) and reading is that SRN affects the temporal proximity of the phonological activation of the letters in a word, which, in turn, influences the acquisition of orthographic knowledge. To test this hypothesis, a group of Dutch first grade children was trained in the rapid serial…

This study examines one child's use of computational procedures over a period of 3 years in an urban elementary school where teachers were using a standards-based curriculum. From a sociocultural perspective, the use of standard algorithms to solve mathematical problems is viewed as a cultural tool that both enables and constrains particular…

A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…