Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.
Katherine Baker, Naomi A. Jessup, Victoria R. Jacobs, Susan B. Empson, and Joan Case
Amber G. Candela, Melissa D. Boston, and Juli K. Dixon
We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.
Erell Germia and Nicole Panorkou
We present a Scratch task we designed and implemented for teaching and learning coordinates in a dynamic and engaging way. We use the 5Es framework to describe the students' interactions with the task and offer suggestions of how other teachers may adopt it to successfully implement Scratch tasks.
Hamilton L. Hardison and Hwa Young Lee
In this article, we discuss funky protractor tasks, which we designed to provide opportunities for students to reason about protractors and angle measure. We address how we have implemented these tasks, as well as how students have engaged with them.
Debasmita Basu, Nicole Panorkou, Michelle Zhu, Pankaj Lal, and Bharath K. Samanthula
We provide an example from our integrated math and science curriculum where students explore the mathematical relationships underlying various science phenomena. We present the tasks we designed for exploring the covariation relationships that underlie the concept of gravity and discuss the generalizations students made as they interacted with those tasks.
Frank K. Lester Jr and Leslie P. Steffe
Through my work in mathematics education, I have come to the realization that constituting mathematics education as an academic field entails constructing models of mathematical minds that are constructed by students in the context of mathematics teaching beginning in early childhood and proceeding onward throughout the years of schooling. In this article, I recount events that have led me to this realization.
David W. Stinson
This article shows how equity research in mathematics education can be decentered by reporting the “voices” of mathematically successful African American male students as they recount their experiences with school mathematics, illustrating, in essence, how they negotiated the White male math myth. Using post-structural theory, the concepts discourse, person/identity, and power/agency are reinscribed or redefined. The article also shows that using a post-structural reinscription of these concepts, a more complex analysis of the multiplicitous and fragmented robust mathematics identities of African American male students is possible—an analysis that refutes simple explanations of effort. The article concludes, not with “answers,” but with questions to facilitate dialogue among those who are interested in the mathematics achievement and persistence of African American male students—and equity and justice in the mathematics classroom for all students.
In an era when familiar categories of identity are breaking down, an argument is made for using post-structuralist vocabulary to talk about ethical practical action in mathematics education. Using aspects of Foucault's post-structuralism, an explanation is offered of how mathematical identifications are tied to the social organization of power. An analysis of 2 everyday instances is provided to capture the oppressive conditions in which ordinary people involved in mathematics are engaged. Describing how systemic constraints become lived as individual dilemmas offers a way of understanding what we might do to effect change, and what we might do to produce tangible results.
Indigo Esmonde and Jennifer M. Langer-Osuna
In this article, mathematics classrooms are conceptualized as heterogeneous spaces in which multiple figured worlds come into contact. The study explores how a group of high school students drew upon several figured worlds as they navigated mathematical discussions. Results highlight 3 major points. First, the students drew on 2 primary figured worlds: a mathematics learning figured world and a figured world of friendship and romance. Both of these figured worlds were racialized and gendered, and were actively constructed and contested by the students. Second, these figured worlds offered resources for 1 African American student, Dawn, to position herself powerfully within classroom hierarchies. Third, these acts of positioning allowed Dawn to engage in mathematical practices such as conjecturing, clarifying ideas, and providing evidence.