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Relational Reasoning and Mathematical Knowledge: Exploring the Connection
Sat, April 18, 10:35am to 12:05pm, Virtual RoomSession Type: Symposium
Abstract
The aim of this symposium is to probe the various connections between relational reasoning (RR) and mathematical knowledge (MK). Broadly defined, relational reasoning represents the ability to discern meaningful patterns within any informational stream (Alexander & DRLRL, 2012). To date, relatively few studies have explored the connection between RR and MK, and their results have suggested that these two critical abilities are linked in significant ways. Thus, this symposium brings together international scholars who have investigated RR and MK in creative and diverse ways by examining other forms of reasoning (e.g., anomalous reasoning), contexts (e.g. spontaneous focusing), and topics in mathematics (e.g., fractions). These scholars will contribute new insights on the confluence of reasoning relationally and mathematical knowledge.
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Chair
Papers
Relational Reasoning Is Among the Cognitive Abilities That Predict Fraction Understanding - Elena Leib, University of California - Berkeley; Ariel Starr, University of Washington; Jessica Younger, University of California - San Francisco; Melina Uncapher, University of Californina; Silvia Bunge, University of California - Berkeley
The Comparative Importance of Two Types of Relational Reasoning for Supporting Fractions Knowledge - Percival Grant Matthews, University of Wisconsin - Madison; Edward Michael Hubbard, University of Wisconsin - Madison; Priya Kalra, University of Wisconsin - Madison; Yunji Park, University of Wisconsin - Madison
Spontaneous Focusing on Multiplicative Relations Predicts the Development of Complex Rational Number Knowledge - Jake A. McMullen, University of Turku; Minna M Hannula-Sormunen, University of Turku; Erno A. Lehtinen, University of Turku; Robert Siegler, Teachers College, Columbia University
Exploring the Connection Between Error Patterns on a Novel Mathematical Task and Relational Reasoning Ability - Hongyang Zhao, University of California - Irvine; Patricia A. Alexander, University of Maryland - College Park; Yuting Sun, University of Maryland - College Park