ERIC Number: EJ973361
Record Type: Journal
Publication Date: 2012-May
Pages: 7
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-1072-0839
EISSN: N/A
Available Date: N/A
Functions and the Volume of Vases
McCoy, Ann C.; Barger, Rita H.; Barnett, Joann; Combs, Emily
Mathematics Teaching in the Middle School, v17 n9 p530-536 May 2012
Functions are one of the most important and powerful tools in mathematics because they allow the symbolic, visual, and verbal representation of relationships between variables. The power of functions, as well as the numerous real-world uses of functions, make them an important part of the development of algebraic reasoning in the middle grades. This article describes an investigation that allowed middle-grades students to work with various representations of functions including graphs, tables, and verbal descriptions, within a rich context. Adapted from Van de Walle, Karp, and Bay-Williams (2010), the investigation engaged students in thinking about the relationship between the volume of water poured into a vase and the height of the water in the vase. This investigation helped students see how each representation they created illustrated the functional relationship between the variables involved and how each representation provided a different view of this relationship. (Contains 3 figures.)
Descriptors: Investigations, Algebra, Mathematics Instruction, Mathematics, Correlation, Thinking Skills, Middle Schools, Teaching Methods, Learner Engagement, Middle School Students, Secondary School Mathematics, Graphs
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A