Describes a game originally published by the Australian Association of Mathematics Teachers (AAMT) as a chance and data activity. Includes a variety of modifications and extensions of the board game, and a discussion on the use of an empirical approach as an access issue. (DDR)

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Introduces a toy, the Educated Monkey, developed to help students learn multiplication tables and associated division, factoring, and addition tables and associated subtraction. Explains why the monkey works and reviews geometric, algebraic, and arithmetic concepts. (KHR)

Proposes some possible ways of using an interactive whiteboard as a means of stimulating pupils' thinking and active participation. (KHR)

Describes a credit-card-debt activity that allows students to increase their awareness of underlying mathematical concepts relevant to the world of commerce and personal finance through learning geometric and arithmetic sequences. (KHR)

Evaluation of the ability of 77 students who are moderately to profoundly deaf to solve arithmetic word problems found that students who are deaf experienced delays in successful work problem performance. Results support the idea that the delayed language acquisition of this population affects their capacity to solve arithmetic word problems.…

Reanalyzes data obtained in 1987 on mental calculation strategies used by 11-year-olds in England, Wales, and Northern Ireland. Classifies mental strategies developed in the past decade in international research. Compares frequency and effectiveness of the strategies used by pupils of different levels of attainment. Discusses basic arithmetic…

Evaluated effects of a reciprocal peer tutoring (RPT) intervention on arithmetic performance of 12 low-income, underachieving elementary school students. Results indicated that merely teaming students and providing them with positive attention for constructive team activities had no clear effect on arithmetic performance. RPT condition that…

This special section on cognition and mathematics contains an introduction and 13 articles on advances in the psychology of mathematics learning. The articles focus on how students learn to solve mathematics problems, including arithmetic computation problems, arithmetic word problems, and computer programing problems. (SLD)

Identifies four causes of confusion in reading mathematics related to numbers, symbols and sentences, vocabulary, and directionality. Discusses techniques for overcoming each type of the confusion. (YP)

Examines the development of students' understandings about fractions during six weeks of instruction. Reports that all students possessed informal knowledge disconnected from their knowledge of fraction symbols and procedures and that knowledge of rote procedures often interfered with students' attempts to build on their informal knowledge.…

Discusses activities using base-10-block skits to teach number system concepts in first grade classrooms. Describes the students' responses to the activities. (YP)

Discusses ways to incorporate language into the teaching of mathematics and involve students more fully in mathematical processes. Describes classroom teaching practice with and without writing. Lists 11 references. (YP)

Outlined are the weaknesses of traditional, norm-referenced tests which fail to help in making instructional decisions. Presented is a step-by-step series of operations for analyzing and categorizing arithmetic errors, for selecting corrective strategies, and for applying peer-referenced standards to judge the performance of special needs…

Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)