There is a growing consensus that algebra is an important aspect of mathematics teaching and learning and several abilities are required in order students to have successful performance in algebra. The present study uses insights from the domain of psychology to enrich what is currently known in the domain of mathematics education about the…

Recent advances in theory and research provide a basis for defining higher-order thinking skills and for designing tests of such skills. (MCG)

Two studies on M-capacity found factor-analytical and correlational evidence that five M-capacity tests share a common source of variance and that, as subjects' increase in age, scores increase at a similar rate. Results suggest that, in the 6-11 age range, M-capacity can be measured with a battery of tests. (AA)

Two experiments investigated the linear and nonlinear processes involved in a visual search of letter displays. The displays used in the experiments were well-illuminated 6 x 6 degree or 10 x 10 degree fields containing from 2 to 23 capital As, Bs, or Cs located randomly over the displays. The task of the subjects was to decide as rapidly as…

The purpose of this investigation was to classify a sample of high school biology students into concrete and formal operational levels using three separate instruments: (1) a battery of Piagetian tasks (the pendulum, bending rods, and the balance beam); (2) a written biology examination consisting of questions requiring concrete and formal…

Examines subjects' processing in misleading test items. Suggests that the M-power for children, when assessed behaviorally, may increase with age in a discrete manner, and have the potential to generate interval scales of measurement. In addition, suggests that, in light of the results, what statisticians often consider "error of…

Examined the effects of Piagetian-like tasks' characteristics on the performance of those tasks by different age group students. Indicates the method of task presentation had an effect only on young students' performance, while numerical content had an effect on the majority of students in all grades. (Author/CW)

Thinking-aloud protocols of human problem solvers working on geometry problems are presented and discussed. Protocols were obtained from six individuals working on nine different problems in which constructions were used. Nineteen protocols are presented with annotation and discussion, and other protocols are summarized. The primary purpose of the…

This book deals with cognitive development from the perspective of the author's theory of conceptual learning and development (CLD) and from a Piagetian perspective. Chapter I provides an overview of CLD theory and also identifies and discusses the Piagetian constructs of stage, groupement structures, and equilibration. Chapter II focuses on the…

This monograph examines three approaches to intelligence that include cognitive processing components and relates each to assessment and interventions with students having reading disabilities. The first, Sternberg's Triarchic theory of intelligence (1985), includes three subtheories, contextual, experiential, and componential. The second, the…

The Conceptual Learning and Development (CLD) Model suggests four successive levels of concept learning: (1) concrete--recognizing an object which has been encountered previously; (2) identity--recognizing a known object when it appears in a different spatial, time, or sensory perspective; (3) classificatory--generalizing that two items are alike…

An information processing approach was applied to the development and validation of a test battery intended for personnel selection, classification, and guidance; and design of training programs. The approach specifies that tests should measure specific cognitive processes and basic abilities, rather than prior experience. Tests should be short,…

This study sought to determine the extent to which instructional processes characterized by cognitive complexity influence the development of general cognitive abilities during the first, second, and third years of college. The sample for the study consisted of incoming first-year students at 18 four-year and 5 two-year colleges and universities…

This study, with 26 deaf and 26 pair-matched hearing preschool children, first assessed their cognitive modifiability using dynamic and static-convention instruments, and then compared the factorial pattern of the cognitive measures in both groups. Results are interpreted according to the Structural Cognitive Modifiability and Mediated Learning…