ERIC Number: ED606723
Record Type: Non-Journal
Publication Date: 2018
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Various Meanings a Student Uses for Quantified Variables in Calculus Statements: The Case of Zack
Sellers, Morgan; Roh, Kyeong Hah; David, Erika
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 (40th, Greenville, SC, Nov 15-18, 2018)
This study investigates one Calculus student's meanings for quantifiers in Calculus statements involving multiple quantifiers. The student was asked in a two-hour long clinical interview to evaluate and interpret the Intermediate Value Theorem (IVT) and three other statements whose logical structure was similar to the IVT except for the order of both the quantifiers and their attached variables. Four different meanings for variables attached to universal and existential quantifiers emerged from his responses at various moments of the interview. In this paper we detail these four meanings with empirical evidence and discuss implications of our findings to research and teaching of quantified variables in Calculus statements. [For the complete proceedings, see ED606531.]
Descriptors: Calculus, Mathematics Instruction, Mathematical Logic, Validity, Cognitive Processes, College Students, Mathematical Concepts, Logical Thinking, College Mathematics
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: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A