Mathematics education often grapples with the challenge of teaching abstract mathematical concepts, particularly those existing in 3D space. Visualizing, manipulating, and comprehending these abstract objects can be a formidable task for learners. While 3D printing technology has found applications in various fields, its utilization in mathematics…

The Cattell-Horn-Carroll (CHC) or three-stratum model of intelligence envisions human intelligence as a hierarchy. General intelligence (g) is situated at the top, under which are a group of broad intelligences such as verbal, visuospatial processing, and quantitative knowledge that pertain to more specific areas of reasoning. Some broad…

The role of visualization and model-based reasoning has become increasingly significant in science education across a range of contexts. It is generally recognized that supporting learning in developing causal explanations for observed astronomical events presents considerable pedagogic challenge. Understanding the Sun's apparent movement…

Normative adult age-related decrements are well documented for many diverse forms of effortful cognitive processing. However, it is currently unclear whether each of these decrements reflects a distinct and independent developmental phenomenon, or, in part, a more global phenomenon. A number of studies have recently been published that show…

Four experiments compared three alternative models of linear syllogistic reasoning: (1) linguistic; (2) spatial; and (3) mixed linguistic-spatial. The mixed model, indicating the importance of both verbal and spatial ability, was supported by all four experiments, and for about three-fourths of the undergraduate students studied. (Author/GDC)

Literature on relational reasoning mainly focuses on the performance question. It is typically argued that problem difficulty relies on the number of ''mental models'' compatible with the problem. However, no study has ever investigated the wording of conclusions that participants formulate. In the present work, we analyze the relational terms…

Two experiments used the sentence-picture verification paradigm to study encoding and comparison processes with spatial information. Subjects decided whether a spatial description of a geometric figure matched a second figure. Three critical results demonstrated that task-specific variables could be the primary determinants of how subjects verify…

Discusses the spatial aspects of Greeno's model of conceptual domains and applies the theory to geometry learning. Examines the relationship between mathematical and spatial thinking in light of Greeno's environmental/spatial view of learning. (Contains 16 references.) (MDH)

The information-processing approach and results of research on spatial ability are analyzed. Performance consists of a sequence of distinct mental operations that seem general across subjects, and can be individually measured. New interpretations for some classical concepts in psychological testing and procedures for abilities are suggested.…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…