Cognitive Load Theory's Four Component Instructional Design (4C/ID) Model has been used in mathematics education but not confirmed as an instructional theory. Using the Factors Influencing College Success in Mathematics (FICSMath) project and confirmatory factor equation modeling, we empirically validated the model and created the 4C/IDMath Model.…

Within the context of complex cognitive processing and educational interventions, Woolfolk (2016) makes reference to problem solving acquisition, problem solving retention, and problem solving transfer. In each of the aforementioned types of problem solving activities, problem identification and problem representation (reflecting procedural…

A Virtual Resource Center (VRC) has been brought into use since 2008 as an integral part of a task-based language teaching and learning program for Business English courses at Nantes University, France. The objective of the center is to enable students to work autonomously and individually on their language problems so as to improve their language…

The process of figuring things out probably is more intriguing than anything else. Metaphor and memory contribute to the figuring out which is done in two personal essays: "Think about It" by Frank Conroy and "The Hidden Teacher" by Loren Eiseley. Metaphor and memory close distances between text and reader, and evoke conditions…

Research indicates that people do not spontaneously transfer prior clues to solve problems, even though the necessary information is available in memory. To investigate the effects of the symmetry between clue statements and problem statements on problem solving performance, subjects were asked to provide plausible explanations for five…

The effect of using either abstract or concrete words on verbal problem solving was examined in this study. Twelve undergraduate students in each of two conditions mentally solved identically structured problems by reordering and chaining together previously memorized pairs of words. Subjects who received concrete words both memorized the word…

Twenty kindergarten children, 5 to 6 years of age, were presented a free recall task in which half of the subjects were asked to generate a "plan of attack" for remembering before experiencing a study-test sequence. The materials were three different sets of 12 pictures each. In each set, three different conceptual categories were represented…

Literature in mathematic problem-solving suggests that learners store information in memory which helps them solve stereotyped algebra word problems. Cluster analysis has been used as an exploratory tool to infer the types of problems which have common representations in memory. This study compares the results of a hierarchical cluster analysis of…

This paper describes an investigation of problem sequencing as part of a symposium presenting theoretical concerns and research findings regarding several diverse types of strategies for designing and presenting instructional materials. The first step involved analyzing a set of problems, to determine the knowledge (rules) required for solving the…

The relative importance of spatial-position as a memory aid in a block pattern reproduction task was investigated by analyzing the object-selection and object-placement strategies of 69 nursery school children. Subjects were given a task modeled on Piaget's assessment of Static Reproductive Images and Action that had been modified into a…

Three studies investigating the emergence and early refinement of intelligent self-correction are described. Forty-one children ranging in age from 18 to 30 months served as subjects. Parents taught their children a hide-and-seek game in which the parent hid a toy in natural locations in the home while the child watched. After a 3- or 5-minute…

In this paper, Simon describes contemporary information processing approaches to the study of learning and thinking, and discusses the relevance of these studies to the distinction between rote and meaningful learning. Before defining the basic terminology of information processing research, he provides a brief literature review, describing some…

Self-regulation components linked to academic problem-solving were studied. Cognitive process instruction on analogy problems was given to 63 undergraduates on a Monday. On Wednesday, problem-solving performance within the inductive reasoning domain was assessed with 30 Remote Associate Test (RAT) problems. On Friday, problem-solving performance…

Research has not clearly determined whether memory development in childhood and adulthood can be accounted for by the age variation of cognitive processes other than memory. To examine this issue, a study was conducted based on a model of structures and processes in complex information processing. Subjects (N=162) were presented with two lists of…

Described in the context of a computer simulation are highlights of a program of research focusing on the storage of mathematics problem solving information in young children's memory and the development of such knowledge structures in older children. Specifically discussed are the problem size effect, the network nature of the memory…