Shelley Yijung Wu and Dan Battey
Although considerable literature illustrates how students’ experiences and identities are racialized in mathematics education, little attention has been given to Asian American students. Employing ethnographic methods, this study followed 10 immigrant Chinese-heritage families to explore how the racial narrative of the model minority myth was locally produced in mathematics education. We draw on constructs of racial narratives and cultural production to identify the local production of the narrative Asians are smart and good at math during K–12 schooling. Specifically, the Asian American students (re)produced racial narratives related to three cultural resources: (a) Their immigrant parents’ narratives about the U.S. elementary school mathematics curriculum; (b) the school mathematics student tracking system; and (c) students’ locally generated racial narratives about what being Asian means.
Percival G. Matthews, Patricio Herbst, Sandra Crespo, and Lichtenstein Erin K.
Elise Lockwood, Zackery Reed, and Sarah Erickson
Combinatorial proof serves both as an important topic in combinatorics and as a type of proof with certain properties and constraints. We report on a teaching experiment in which undergraduate students (who were novice provers) engaged in combinatorial reasoning as they proved binomial identities. We highlight ways of understanding that were important for their success with establishing combinatorial arguments; in particular, the students demonstrated referential symbolic reasoning within an enumerative representation system, and as the students engaged in successful combinatorial proof, they had to coordinate reasoning within algebraic and enumerative representation systems. We illuminate features of the students’ work that potentially contributed to their successes and highlight potential issues that students may face when working with binomial identities.
Dawkins Paul Christian and Dov Zazkis
This article documents differences between novice and experienced undergraduate students’ processes of reading mathematical proofs as revealed by moment-by-moment, think-aloud protocols. We found three key reading behaviors that describe how novices’ reading differed from that of their experienced peers: alternative task models, accrual of premises, and warranting. Alternative task models refer to the types of goals that students set up for their reading of the text, which may differ from identifying and justifying inferences. Accrual of premises refers to the way novice readers did not distinguish propositions in the theorem statement as assumptions or conclusions and thus did not use them differently for interpreting the proof. Finally, we observed variation in the type and quality of warrants, which we categorized as illustrate with examples, construct a miniproof, or state the warrant in general form.
Courtney K. Baker, Terrie M. Galanti, Kimberly Morrow-Leong, and Tammy Kraft
The Teaching for Robust Understanding framework facilitates online collaborative problem solving with digital interactive notebooks that position all students as doers of mathematics.
Sabrina De Los Santos Rodríguez, Audrey Martínez-Gudapakkam, and Judy Storeygard
An innovative program addresses the digital divide with short, engaging videos modeling mathematic activities sent to families through a free mobile app.
When learning is virtual and students’ webcams are turned off, the ways that we interacted in an in-person classroom fall short. These six strategies for hearing from all students during whole-group instruction and small-group work honor students’ need to keep their webcams off.