Full metadata
Title
Students’ Quantifications, Interpretations, and Negations of Complex Mathematical Statements from Calculus
Description
This study investigates several students’ interpretations and meanings for negations of various mathematical statements with quantifiers, and how their meanings for quantified variables impact their interpretations and denials of these quantified statements. Eight students participated in three separate exploratory teaching interviews and were selected from Transition-to-Proof and advanced mathematics courses beyond Transition-to-Proof. In the first interview, students were asked to interpret mathematical statements from Calculus contexts and provide justifications and refutations for why these statements are true or false in particular situations. In the second interview, students were asked to negate the same set of mathematical statements. Both sets of interviews were analyzed to determine students’ meanings for the quantified variables in the statements, and then these meanings were used to determine how students’ quantifications influenced their interpretations, denials, and evaluations for the quantified statements. In the final interview, students were also be asked to interpret and negation statements from different mathematical contexts. All three interviews were used to determine what meanings comprised students’ interpretations and denials for the given statements. Additionally, students’ interpretations and negations across different statements in the interviews were analyzed and then compared within students and across students to determine if there were differences in student denials across different moments.
Date Created
2020
Contributors
- Sellers, Morgan Early (Author)
- Roh, Kyeong Hah (Thesis advisor)
- Kawski, Matthias (Committee member)
- Keene, Karen (Committee member)
- Thompson, Patrick (Committee member)
- Zandieh, Michelle (Committee member)
- Arizona State University (Publisher)
Topical Subject
Resource Type
Extent
366 pages
Language
eng
Copyright Statement
In Copyright
Primary Member of
Peer-reviewed
No
Open Access
No
Handle
https://hdl.handle.net/2286/R.I.57345
Level of coding
minimal
Note
Doctoral Dissertation Mathematics Education 2020
System Created
- 2020-06-01 08:33:45
System Modified
- 2021-08-26 09:47:01
- 3 years 2 months ago
Additional Formats