Governments and other stakeholders have become increasingly interested in assessing the skills of their adult populations in order to monitor how well prepared they are to meet the challenges of the new information world. The current paper provides an overview of the conceptual framework for the assessment of numeracy developed for the OECD's…

Errors in written multi-digit computation were investigated in children with math difficulties. Third- and fourth-grade children (n = 291) with coexisting math and reading difficulties, math difficulties, reading difficulties, or no learning difficulties were compared. A second analysis compared those with severe math learning difficulties, low…

The objective of this introduction to Colombeau algebras of generalized functions (in which distributions can be freely multiplied) is to explain in elementary terms the essential concepts necessary for their application to basic nonlinear problems in classical physics. Examples are given in hydrodynamics and electrodynamics. The problem of the…

Theories that explain the gender discrepancy in mathematics almost universally explain why boys are "better at math" than girls while failing to adequately account for girls' higher grades in math classes or better performances on tests of computational ability. This article develops a new, more comprehensive theoretical model that explains girls'…

Using factoring as an aid to mental multiplication is illustrated. Other suggestions for teaching mental computation are also included. (MNS)

Presents a technique for multiplying two-digit numbers whose tens digits are equal and whose units digits have a sum of 10. Then various mental calculations with other types of two-digit and larger numbers are discussed. (MNS)

Relations among the number and types of strategies used by 89 college students when estimating, quantitative ability, and computational estimation ability were investigated. Students of relatively high quantitative ability were found to be better estimators and used more strategy types. (MP)

The performance on a battery of cognitive tests of an individual with extraordinary ability at mental arithmetic was studied. Implications of the rather ordinary test performance of Shakuntala Devi in contrast with her calculating speed are discussed with reference to memory and information processing. (SLD)

Strategies for rapid mental computation are explained, including multiplying by 11 (or 21, 31, etc.); adding columns of numbers; and multiplying 2-digit numbers. Rapid mental computation is suggested as a motivator for investigating the underlying mathematical principles. (DB)

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

Research has been done to look at the benefits of BILOG over LOGIST as well as the potential issues that can arise if transition from LOGIST to BILOG is desired. A serious concern arises when comparability is required between previously calibrated LOGIST parameter estimates and currently calibrated BILOG estimates. It is imperative to obtain an…

The Statistical Analysis System was used to program a statistical procedure developed by K. J. Levy (1975). The focus was on Dunnett-like pairwise multiple comparisons among sample variances. An example using data from G. Glass and K. Hopkins (1996) is used to illustrate a computer run with this program. (Author/SLD)

Analyzes objections to the computational paradigm recently proposed by several cognitive scientists, suggesting that their objections are grounded in objections to specific properties of representations as they are used in various psychological theories. Discusses five properties that can be added to mediating states and examines their importance…

Three studies examined three- to six-year olds' understanding of cardinality independent of counting order. Found that more children expected different order count to yield same number when they did not have to count than when they counted or monitored puppet's counting. More children predicted that recounting would yield the same number than the…

We evaluated Samaniego and Reneau's 1994 novel weight method for eliciting subjective probability estimates. Experiment 1 replicated their experiment (subjects weighed their prior estimate against 10 new observations), with an additional weight judgment against 50 observations. In Experiment 2, subjects gave prior estimates to questions in a…