ERIC Number: ED658432
Record Type: Non-Journal
Publication Date: 2023
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Mental Operations for Altering Length and Preserving Angularity
Hamilton L. Hardison
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (45th, Reno, NV, Oct 1-4, 2023)
Angularity is a persistent quantity throughout K-12+ school mathematics, and many studies have shown that individuals often conflate angularity with linear attributes (e.g., the length of an angle model's sides). However, few studies have examined the productive ways in which students might reason about angularity while attending to linear attributes like side lengths. Leveraging data from a yearlong teaching experiment with ninth-grade students, I present four mental operations that students indicated for altering lengths while preserving angularity. Additionally, I consider implications of these mental operations for teaching and research. [For the complete proceedings, see ED658295.]
Descriptors: Mathematics Skills, Thinking Skills, Geometry, Spatial Ability, Abstract Reasoning, Middle School Students, Grade 9, Computation
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Junior High Schools; Middle Schools; Secondary Education; Grade 9; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A