This paper is drawn from a doctoral thesis (Rosa, 2008) that examines the relations established between the construction of online identities and the teaching and learning of the definite integral concept in an online learning course. The role-playing game (RPG) is played out through chat and calls for the creation of characters (online…

The results of a simulation model of a queuing system are reported. Use in an introductory quantitative analysis course to enhance students' computer and quantitative modeling knowledge is described. (CW)

Reacts to Ohlsson, Ernst, and Rees' paper by initially discussing the costs of methodology that utilizes artificial intelligence (AI) to model cognitive processes. Raises three concerns with the paper: insufficient clarification of the meaning of conceptual versus procedural understanding of base-10 subtraction; realism of the learning model; and…

Responds individually to Shoenfeld's objections that Ohlsson, Ernst, and Rees' model is unclear; that the hypotheses about learning are unjustified; that the models have not been tested against extant data; and that it is unclear whom the model models. (MDH)

Proposes a theory of cognitive processes in doing and learning place value arithmetic. Discusses a computer model that simulates the learning of multicolumn subtraction under one-on-one tutoring to measure the relative difficulty of two methods of subtraction. The model predicts that regrouping is more difficult to learn than an alternative…

This issue of the journal contains abstracts and critical comments for 13 published reports of research in mathematics education. Topics include: (1) effects of mathematics anxiety on preservice elementary teachers; (2) visualizing rectangular solids; (3) computer simulations and abstract thinking; (4) the association of foldout shapes with…

Discusses the importance of the use of models in modern science. Suggests that models can make a significant contribution to the teaching of science and mathematics. Explains that representative models, analogue models, logical models, and theoretical models are most commonly used models in science and mathematics. (TW)