Novice teachers require support in learning to attend and respond to students’ thinking as expert teachers do. Video clubs in which groups of teachers respond to videos of one another’s classrooms can help. Van Es and Sherin describe how a video club helped teachers make space for student thinking to emerge, probe students’ understanding, and learn from their students while teaching.
Lobato, Rhodehamel, and Hohensee investigated how learners “transferred” knowledge from one situation to another. They found that both individual cognition and the social organization of the class drove the learners’ process of selecting, interpreting, and working with particular features of mathematical information. They also found the social arrangements of the class influenced what pieces of information students noticed and focused on.
Researchers examined whether engineering activities and lessons can help students apply science and math content in real-world contexts and gain insights into the professional activities and goals of engineers.
This article provides firm evidence, for formal and informal educators alike, that shared learning can be powerful and meaningful, if carefully considered. Findings from a study conducted in a summer middle school mathematics class suggest that when students are able to ask legitimate, authentic questions and share understanding about a common problem, their learning becomes truly “distributed by design.”
Teachers’ and learners’ gestures while giving explanations in mathematics can be categorized into three types, revealing their cognitive nature and communicative purpose: pointing reflects a grounding in the physical environment, representational gestures reveal mental simulations of action and perception, and metaphoric gestures reveal conceptual metaphors grounded in the physical human experience. Informal educators should reflect on their own gestures and those of learners, considering what they may contribute to greater learner understanding.
To create more equitable learning opportunities for students from marginalized communities, educators can design learning experiences that help young people connect their everyday interests and knowledge to academic content. Nasir et al. synthesized research on how students use sophisticated math in everyday practices like discussing basketball, playing dominoes, and selling candy. Then they explain how learning improves when varied student experiences are made relevant in informal and formal learning environments.
This article discusses the potential for learner engagement in the contexts of a basketball team and a mathematics classroom. The qualitative analysis centers on three aspects of each context: access to the domain, the integral roles available to learners, and opportunities for self-expression.
This article discusses intellectual activities in African American culture that privilege mathematical thinking. It is a helpful reference for educators and researchers who want to shift from deficit-oriented perspectives about non-dominant or marginalized groups’ performance to additive perspectives that build on out-of-school cultural knowledge and practices to support student learning in school. The authors suggest how educators might value forms of mathematical thinking that are usually not recognized in school. This recognition can support diverse students’ participation and achievement
This article discusses the design and conditions of high school mathematics activities that aim to distribute opportunities to learn to all students. Of particular interest to ISE educators is the analysis of how some ostensibly equitable group activities may shut down equal participation. Also of interest is the theoretical discussion of the relationship between opportunities to productively participate in mathematical activities and the development of positive mathematical learning identities.
Researchers Jurow, Hall, and Ma examined how conversations and interactions between students and STEM professionals expanded students’ understanding of math modeling.