Since the publication of [Gelman, R., & Gallistel, C. R. (1978). "The child's understanding of number." Cambridge, MA: Harvard University Press.] seminal work on the development of verbal counting as a representation of number, the nature of the ontogenetic sources of the verbal counting principles has been intensely debated. The present…

K. Rayner, A. Pollatsek, D. Drieghe, T. J. Slattery, and E. D. Reichle argued that the R. Kliegl, A. Nuthmann, and R. Engbert corpus-analytic evidence for distributed processing during reading should not be accepted because (a) there might be problems of multicollinearity, (b) the distinction between content and function words and the skipping…

The four types of ionic equilibria--acid-base, redox, precipitation, and complexation--have certain similarities, which has led some authors to develop a unified treatment of them. These authors have highlighted the common aspects and tried to find a systemization of the equilibria that would facilitate learning them. In this unified treatment,…

Everyday, people face situations that call for adding, subtracting, multiplying, or dividing, and at least half of the time, these calculations are accomplished without the use of pen, paper, or calculators. Because figuring "in your head" is such an important life skill, it should have a regular role in classroom math teaching. This article…

The authors of this article introduce students in their department's construction course to a variety of energy-saving practices and processes. They describe activities that could give students an opportunity to apply design methodology in the creative pursuit of a solution to an open-ended problem. An introductory lecture gives students the…

The teaching of mathematics courses to chemistry students that is strongly based on symbolic computation and allows an instructor to explore a topic or principle is reviewed. The mathematical software available, nominally for symbolic computation associated with numerical and graphical capabilities are highly developed and provides an invaluable…

The authors develop and test generalized versions of take-the-best (TTB) and rational (RAT) models of multiattribute paired-comparison inference. The generalized models make allowances for subjective attribute weighting, probabilistic orders of attribute inspection, and noisy decision making. A key new test involves a response-time (RT)…

In this report, the authors describe the value-added models used as part of teacher evaluation systems in the District of Columbia Public Schools (DCPS) and in eligible DC charter schools participating in Race to the Top. They estimated (1) teacher effectiveness in DCPS and eligible DC charter schools during the 2011-2012 school year; and (2)…

This article calls attention to testing as an integral part of teaching mental computation. It begins with an overview of students' performance and is followed by some specific suggestions for testing mental computation skills in the classroom. (Author)

A study of activities in mental computation and in paper and pencil enrichment activities for sixth graders showed that both treatments produced increases in achievement test scores. Examples of both types of activities used are included. (DT)

Two mental algorithms, one for addition and one for subtraction, are described. It is felt such algorithms should be taught explicitly. The usual process taught for paper and pencil is seen to inhibit mental arithmetic, and a need to include mental algorithms in the regular mathematics curriculum is promoted. (MP)

This paper describes how decisions were made on procedures for counting the homeless population for the 1990 census. These topics are covered: (1) reasons the Census Bureau did not specifically label anyone as "homeless" while still including homeless persons in the census; (2) how the lists of sites where homeless persons might be found were…

Discusses high school students' problems with computation. Presents results from the Third International Mathematics and Science Study (TIMSS), the National Assessment of Educational Progress (NAEP), and research articles to prove that students have difficulty with basic computation. (ASK)

Discusses intelligent tutoring systems and the application of Bayesian networks to student modeling. Considers reasons for not using Bayesian networks, including the computational complexity of the algorithms and the difficulty of knowledge acquisition, and proposes an approach to simplify knowledge acquisition that applies causal independence to…