Presents a problem of triangular tiles that involves counting and probability. Includes instructor guiding questions. (KHR)

Thirty students (ages 7 to 18) with moderate intellectual disabilities were interviewed individually and their counting skills and number concepts assessed. Results showed a significant difference among the three age groups on all number skills assessed, and learning patterns were similar to those of students with normal intelligence.…

Provides an equivalent at the secondary level to the work of Liping Ma at the elementary level. Presents a better understanding of the conceptual knowledge of school mathematics held by prospective secondary teachers along with examples of the sorts of knowledge needed to teach for understanding within the domain of integer subtraction. (Author/MM)

Presents several alternatives to customary algorithms for whole number arithmetic. Includes a brief history of each algorithm and discusses why each might be useful for particular kinds of children. (KHR)

Describes how students can compute and estimate, mentally and rapidly, by using appropriate number relationships. (YDS)

Discusses zeroes at the ends of decimal fractions representing measurements or real-world applications of numbers including precision, variance, and classroom applications. (YDS)

Uses action research items to help students realize the importance of sample size in statistical analysis. (YDS)

Describes teaching methods and student-created methods for conceptualizing multiplication with rational numbers. (YDS)

Presents an historical lesson on the development of numbers and the special characteristics of zero. Includes activity sheets designed to help students focus their attention on the value of numerals including zero, place value, and operation with zero. (KHR)

Discusses the term concept and claims that the use of certain strategies to overcome the loss of multiplication facts due to brain damage is evidence of conceptual knowledge and that infants have rudimentary arithmetical knowledge. (MKR)

Describes a history of magic squares from China, Holland, Rome, and Ethiopia. (MKR)

Discusses the history of different methods of representing numbers and how these representations facilitated counting and computing devices such as the abacus. (MDH)

Found that, after extracting an arithmetic problem from a real situation and working out an answer, 6- to 12-year-olds with learning difficulties in math were unable to reapply the answer to the situation. Also found that the children, in a hypothetical situation, were unable to use token money, or to do calculations on paper or with an electronic…

Analyzes and refutes the arguments made by "back-to-basics" proponents against the use of calculators and for traditional instruction in the algorithms of pencil-and-paper arithmetic. Argues for the value of mental arithmetic in achieving all the aims and more of the traditional curriculum. (Author/ASK)

Describes an elementary arithmetic project that involves reading, writing, and counting skills. Students collaboratively create a tooth-shaped book designed to strengthen their counting skills as they celebrate losing baby teeth. The article also includes other activities to further extend the project. (SM)