Matches in SemOpenAlex for { <https://semopenalex.org/work/W2395776369> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2395776369 abstract "Author(s): DeWolf, Melissa | Advisor(s): Holyoak, Keith J. | Abstract: The study of how children and adults learn mathematics has given rise to a rich set of psychological phenomena involving mental representation, conceptual understanding, working memory, relational reasoning and problem solving. The subfield of understanding rational number processing and reasoning focuses on mental representation and conceptual understanding of rational numbers, and in particular fractions. Fractions differ from other number types, such as whole numbers, both conceptually and in format. Previous research has highlighted the extent to which fractions and other rational numbers pose challenges for children and adults with respect to magnitude estimation and misconceptions. The goal of this dissertation is to highlight the distinct differences in reasoning with different types of rational numbers. First, a neuroimaging study provides evidence that fractions yield a distinct pattern of neural activation during magnitude estimation that differs from both decimals and integers (Chapter 2). Second, a set of behavioral studies with adults highlights the affordances of the bipartite format of fractions for relational reasoning tasks (Chapter 3). Finally, a developmental study with pre-algebra students provides evidence for a significant relationship between relational understanding of fractions and algebra performance, and specifically algebraic modeling. This work is presented in the context of viewing mathematical notation as a type of conceptual modeling. In particular, decimals have advantages in measurement and representing magnitude. Fractions, on the other hand, have advantages in relational contexts, due to the fact that fractions, with their bipartite (a/b) format, inherently specify a relation between the cardinalities of two sets. When mathematics is viewed as a type of relational modeling, rational expressions provide a gateway to more complex mathematical notations and concepts, such as those in algebra." @default.
- W2395776369 created "2016-06-24" @default.
- W2395776369 creator A5087785006 @default.
- W2395776369 date "2016-01-01" @default.
- W2395776369 modified "2023-09-27" @default.
- W2395776369 title "Relational Reasoning with Rational Numbers: Developmental and Neuroimaging Approaches" @default.
- W2395776369 hasPublicationYear "2016" @default.
- W2395776369 type Work @default.
- W2395776369 sameAs 2395776369 @default.
- W2395776369 citedByCount "0" @default.
- W2395776369 crossrefType "journal-article" @default.
- W2395776369 hasAuthorship W2395776369A5087785006 @default.
- W2395776369 hasConcept C118615104 @default.
- W2395776369 hasConcept C151730666 @default.
- W2395776369 hasConcept C154945302 @default.
- W2395776369 hasConcept C15744967 @default.
- W2395776369 hasConcept C169760540 @default.
- W2395776369 hasConcept C169900460 @default.
- W2395776369 hasConcept C177264268 @default.
- W2395776369 hasConcept C17744445 @default.
- W2395776369 hasConcept C188147891 @default.
- W2395776369 hasConcept C199360897 @default.
- W2395776369 hasConcept C199539241 @default.
- W2395776369 hasConcept C2776359362 @default.
- W2395776369 hasConcept C2779343474 @default.
- W2395776369 hasConcept C33923547 @default.
- W2395776369 hasConcept C41008148 @default.
- W2395776369 hasConcept C45357846 @default.
- W2395776369 hasConcept C46875033 @default.
- W2395776369 hasConcept C86803240 @default.
- W2395776369 hasConcept C94375191 @default.
- W2395776369 hasConcept C94625758 @default.
- W2395776369 hasConcept C96199812 @default.
- W2395776369 hasConceptScore W2395776369C118615104 @default.
- W2395776369 hasConceptScore W2395776369C151730666 @default.
- W2395776369 hasConceptScore W2395776369C154945302 @default.
- W2395776369 hasConceptScore W2395776369C15744967 @default.
- W2395776369 hasConceptScore W2395776369C169760540 @default.
- W2395776369 hasConceptScore W2395776369C169900460 @default.
- W2395776369 hasConceptScore W2395776369C177264268 @default.
- W2395776369 hasConceptScore W2395776369C17744445 @default.
- W2395776369 hasConceptScore W2395776369C188147891 @default.
- W2395776369 hasConceptScore W2395776369C199360897 @default.
- W2395776369 hasConceptScore W2395776369C199539241 @default.
- W2395776369 hasConceptScore W2395776369C2776359362 @default.
- W2395776369 hasConceptScore W2395776369C2779343474 @default.
- W2395776369 hasConceptScore W2395776369C33923547 @default.
- W2395776369 hasConceptScore W2395776369C41008148 @default.
- W2395776369 hasConceptScore W2395776369C45357846 @default.
- W2395776369 hasConceptScore W2395776369C46875033 @default.
- W2395776369 hasConceptScore W2395776369C86803240 @default.
- W2395776369 hasConceptScore W2395776369C94375191 @default.
- W2395776369 hasConceptScore W2395776369C94625758 @default.
- W2395776369 hasConceptScore W2395776369C96199812 @default.
- W2395776369 hasLocation W23957763691 @default.
- W2395776369 hasOpenAccess W2395776369 @default.
- W2395776369 hasPrimaryLocation W23957763691 @default.
- W2395776369 hasRelatedWork W1526317547 @default.
- W2395776369 hasRelatedWork W1873373958 @default.
- W2395776369 hasRelatedWork W1978926703 @default.
- W2395776369 hasRelatedWork W1983090104 @default.
- W2395776369 hasRelatedWork W1989441810 @default.
- W2395776369 hasRelatedWork W2039738667 @default.
- W2395776369 hasRelatedWork W2062918498 @default.
- W2395776369 hasRelatedWork W2072409560 @default.
- W2395776369 hasRelatedWork W2110460224 @default.
- W2395776369 hasRelatedWork W2169382901 @default.
- W2395776369 hasRelatedWork W2218473164 @default.
- W2395776369 hasRelatedWork W2235347769 @default.
- W2395776369 hasRelatedWork W2328729851 @default.
- W2395776369 hasRelatedWork W2333860956 @default.
- W2395776369 hasRelatedWork W2340416631 @default.
- W2395776369 hasRelatedWork W2557893231 @default.
- W2395776369 hasRelatedWork W3123063689 @default.
- W2395776369 hasRelatedWork W3134095113 @default.
- W2395776369 hasRelatedWork W3134970496 @default.
- W2395776369 hasRelatedWork W1563090819 @default.
- W2395776369 isParatext "false" @default.
- W2395776369 isRetracted "false" @default.
- W2395776369 magId "2395776369" @default.
- W2395776369 workType "article" @default.