Issues of equity in mathematics classrooms existed prior to COVID-19. For many students, however, meaningful participation in mathematical discussions became nearly impossible in online settings during the pandemic. In this study, we note the diversity in and nature of participation in mathematical discourse in an online course for preservice teachers (PSTs). We investigate the influence of implementing two support strategies for discussion: (a) establishing a “rough-draft/revision” orientation to mathematical tasks; and (b) providing time and structure (tasks and prompts) in an online discussion board for PSTs to post their initial thoughts, react to peers’ solutions, and collectively revise their ideas. In this article, we highlight several benefits of these support strategies to equitable PST participation in a unit on number theory. For example, as compared with oral discussions where only a few PSTs offered their ideas, the written discussion format encouraged every PST to post their ideas. Using a rough-draft/revision stance in the prompts fostered sharing and revealed diverse mathematical approaches, perspectives, and ideas. We argue that giving students opportunities to interact with one another and the mathematics in a variety of ways promotes equitable participation.
Margaret Rathouz, Nesrin Cengiz-Phillips, and Angela S. Krebs
Jerilynn Lepak and Taren Going
Teaching transparently about the process and goals can support students as they make and support mathematical claims.
Design projects to encourage your students’ self-efficacy and motivate mathematics learning by helping them apply their prior knowledge from real-world experiences.
Meghan Shaughnessy, Nicole Garcia, and Darrius D. Robinson
Using cases from early childhood, elementary, and secondary classrooms, we showcase the work that teachers do to support students in building a collective argument and critiquing an individual’s argument. We identify four areas of work central to teaching students to build and critique mathematical arguments.
This department provides a space for current and past PK–12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.
Kathryn Lavin Brave, Mary McMullen, and Cecile Martin
The application of exact terminology benefits students when forming and supporting mathematical arguments virtually.
Steve Ingrassia and Molly Rawding
Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to email@example.com. If published, the authors of problems will be acknowledged.
Rachel Wiemken, Russasmita Sri Padmi, and Gabriel Matney
Teachers from two countries designed a model-eliciting activity about the global issue of wind energy. They share teaching and student outcomes from a cross-border engagement in the task with students from Indonesia and the United States through synchronous video conference.
Kathryn O’Connor, Emma Dearborne, and Tutita M. Casa
A version of math workshop centrally positions students to inquire mathematically.
Amanda L. Cullen, Carrie A. Lawton, Crystal S. Patterson, and Craig J. Cullen
In this lesson, third graders were asked how many degrees is a full rotation around a circle. After we gave students time and space to disagree, to make and test conjectures, and to explore, they reasoned about angle as turn and determined a full rotation is 360 degrees.