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ERIC Number: EJ1402530
Record Type: Journal
Publication Date: 2023
Pages: 11
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: EISSN-2330-0582
Available Date: N/A
Filling Vases and Making Tanks
Dean, Jana
Mathematics Teacher: Learning and Teaching PK-12, v116 n9 p666-675 2023
In this article, the author shares two investigations that relate the variables of height and volume using different contexts. Each of the investigations surfaced unfinished learning for students, regardless of their starting place, and facilitated growth in understanding of measurement and algebra. The Functions and Volume of Vases task challenged students to deepen their understanding of graphing functions. The Making Water Tanks task provided more geometric structure as each tank was a rectangular prism rather than a curvaceous cylinder. Taken together, Filling Vases and Making Water Tanks supported students realizing that a graph is more than a picture of a situation. Everyone benefited from one another's explanations of the graphs and from the cognitive dissonance of switching input and output from one context to the next. Most importantly, all of the students persisted in productive struggle and revisited and revised initial responses as they learned more about what it means to measure volume and graph a function.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A