ERIC Number: EJ1463192
Record Type: Journal
Publication Date: 2025
Pages: 9
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: EISSN-2330-0582
Available Date: 0000-00-00
Mathematical Modeling with Water Bottle Filling Stations
Jonathan Brown; Erin Turner; Delia Sotelo Fierros
Mathematics Teacher: Learning and Teaching PK-12, v118 n2 p118-126 2025
Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and assessing the solution, iterating, and implementing the model. The modeling process begins with connections to a real- world context and students' experiences. These real- world contexts could be in the classroom, school, or broader community. Next, students make sense of a situation within the context, sharing what they notice, understand, and wonder. As students share questions about the situation, teachers support them in posing an authentic and relevant modeling problem. Once students pose the problem, students identify and list important quantities and assumptions. Generally, students make a list of things they already know, things they need to know, and things they can assume or decide as a team. Students represent and explore different ways to relate the quantities and assumptions identified using pictures, equations, tables, and other mathematical representations. Eventually, students create a modeling solution that answers the problem they posed. Finally, students interpret their models by comparing them to those of other groups and assessing their solutions. This article describes how one teacher uses mathematical modeling to turn an authentic context in her school into a mathematically rich task. Students drive the work as they collect and analyze data, predict future outcomes, and take action to reduce plastic water bottle waste at their school.
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Problem Solving, Student Experience, Teamwork, Authentic Learning, Task Analysis, Plastics, Wastes, Water, Prediction, Futures (of Society), Conservation (Environment), Bilingual Education, Spanish, English (Second Language), Second Language Learning, Second Language Instruction, Elementary School Students, Grade 3, Grade 4
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 - Descriptive
Education Level: Elementary Education; Early Childhood Education; Grade 3; Primary Education; Grade 4; Intermediate Grades
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A