Presents an activity that concerns children's reasoning about counting from the perspectives of informal mathematics, work center mathematics, and cardboard box mathematics. (ASK)

Presents some known and lesser-known features of the number 11. (KHR)

Discusses an algorithm from Vedic mathematics that has similarities to FOIL and the standard algorithm for multiplication. (Author/NB)

Describes how 7th grade students were transitioned from using informal, conceptual methods to solving proportion problems using a formal procedure. (YDS)

Suggests that strategy choice is a misleading characterization of efficient mental calculation and that teaching mental calculation methods as a whole is not conducive to flexibility. Proposes an alternative in which calculation is thought of as an interaction between noticing and knowledge. Presents an associated teaching approach to promote…

The article identifies five incorrect beliefs about mathematics often held by students who have difficulty with mathematics. They include: the relative size of numbers is more important than the relationships between quantities; computation problems must be solved by using a step-by-step algorithm; mathematics problems have only one correct…

A distinction is made between statistics based on scientific theory and theory-free statistics. This distinction is discussed in the contexts of hypothesis testing, Bayesian inference, a priori planned contrasts, a new simple computational method, and alternative data interpretations. (TJH)

A principle is presented to show that, if the time of passage of light is expressible as a function of discrete variables, one may dispense with the more general method of the calculus of variations. The calculus of variations and the alternative are described. The phenomenon of mirage is discussed. (Author/KR)

A general model for two-level multivariate data, with responses possibly missing at random, is described. The model combines regressions on fixed explanatory variables with structured residual covariance matrices. The likelihood function is reduced to a form enabling computational methods for estimating the model to be devised. (Author)

Describes a system for using the World Wide Web to distribute computational tasks to multiple hosts on the Web that is written in Java programming language. Describes the programs written to carry out the load distribution, the structure of a "distriblet" class, and experiences in using this system. (Author/LRW)

Examines elementary students' perspectives on the engagement potential of particular mathematical problems and students' views on classroom problem-solving activities in general. Nonroutine examples that focused on important reasoning processes and did not involve computation had the greatest engagement potential, whereas computational problems…

Studies 6- to 8-year olds' responses to sliced task, standard and choices were discontinuous quantities, and non-sliced task, standard was continuous and choices were discontinuous quantities in order to discover whether children use half boundary in ratio comparisons between continuous and discontinuous quantities. Reveals that "dhalf" plays a…

Interviews 53 sixth grade students individually in an attempt to discover whether wrong interpretations of the algebraic structure found in an algebraic context occurs in a purely numerical context. Concludes that students' difficulties with the algebraic structure were also found in purely numerical contexts. (Contains 27 references.) (Author/ASK)

Presents a problem introducing pupils to the ideas of consecutive and integer while practicing addition. Investigates the overall pattern of results with regard to formulating some general results, considers the algebra of the problem, and suggests proofs of why some numbers can and others cannot be formulated in this way. (ASK)

Assesses the status and use of the hand-held calculator in the current school curriculum. Comments on current proposals to restrict its use in the examination room at A-level. Concludes that at the stage of A-level mathematics, calculations that are not practicable without calculating aids cannot be avoided without indefensible contrivance.…