NotesFAQContact Us
Collection
Advanced
Search Tips
Publication Date
In 20250
Since 20240
Since 2021 (last 5 years)0
Since 2016 (last 10 years)0
Since 2006 (last 20 years)1
Descriptor
Abstract Reasoning2
Generalization2
Mathematics Instruction2
Case Studies1
Cognitive Structures1
Elementary Secondary Education1
Graphs1
Imagery1
Imagination1
Learning Processes1
Mathematical Logic1
Mathematics Education1
Metaphors1
Models1
Schemata (Cognition)1
Secondary School Students1
Visual Aids1
More ▼
Source
Educational Studies in…2
Author
Presmeg, Norma C.1
Thompson, Patrick W.1
Weber, Eric1
Publication Type
Journal Articles2
Reports - Research2
Education Level
Audience
Location
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating
Showing all 2 results Save | Export
Students' Images of Two-Variable Functions and Their Graphs
Peer reviewed Peer reviewed
Direct linkDirect link
Weber, Eric; Thompson, Patrick W. – Educational Studies in Mathematics, 2014
This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and covariational reasoning, to construct a hypothetical learning trajectory (HLT) for how students might generalize their understanding of graphs of…
Descriptors: Visual Aids, Abstract Reasoning, Learning Processes, Mathematics Instruction
Prototypes, Metaphors, Metonymies and Imaginative Rationality in High School Mathematics.
Peer reviewed Peer reviewed
Presmeg, Norma C. – Educational Studies in Mathematics, 1992
Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)
Descriptors: Abstract Reasoning, Case Studies, Cognitive Structures, Elementary Secondary Education