ERIC Number: EJ1092797
Record Type: Journal
Publication Date: 2016-Mar
How Many Jelly Beans Are in the Jar?
Roy, George J.; Hodges, Thomas E.; Graul, LuAnn
Mathematics Teaching in the Middle School, v21 n7 p424-430 Mar 2016
Who will make a better estimate concerning the number of jelly beans in a jar, a single person or a group of people? On one side of the debate is the notion that a person would make a better decision because he or she uses unique knowledge that the group may not possess. On the opposite side of the argument is the claim that because of their breadth of responses, the collective wisdom of a group will arrive at a better conclusion. This is the very dilemma that finance professor Jack Treynor posed to his students regarding "The Wisdom of the Crowds" (Surowiecki 2005). After reading this book, the authors wondered how middle school students would respond to the question. Moreover, they thought the question could be used as an entry point for them to leverage middle school students' mathematical intuitions regarding estimation and then link those estimates to data representation and analysis. In particular, they focused their effort on students' understanding of measures of center, as their experiences have suggested that although middle school students often use the word average, they do not necessarily specify which measure of central tendency they are referencing: mean, median, or mode or some completely different mathematics concept. In this article, the authors suggest that students' mathematical intuition about estimation can serve as an entry point for tasks exploring measures of center by answering the question "how many jelly beans are in the jar?"
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Teaching Methods, Mathematical Concepts, Computation, Technology Uses in Education, Graphs
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: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teaching-in-the-middle-school/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; Middle Schools; Junior High Schools
Authoring Institution: N/A
Grant or Contract Numbers: N/A