The National Council of Teachers of Mathematics's "Principles to Actions" (NCTM, 2014) cites posing purposeful questions and eliciting and using evidence of student thinking as effective mathematics teaching practices. Interviewing students creates opportunities for teachers to develop these practices. Through interviewing, they can try…

In this digital ITEMS module, Dr. Jacqueline Leighton and Dr. Blair Lehman review differences between think-aloud interviews to measure problem-solving processes and cognitive labs to measure comprehension processes. Learners are introduced to historical, theoretical, and procedural differences between these methods and how to use and analyze…

Teachers spend a lot of time talking about students: They talk about how students learn, how to best plan lessons for them, and how to understand their written work using different protocols. Instead of hypothesizing about what a student might do on a task or why a student made a certain mistake, why aren't teachers just asking the student?…

Rosemarie T. Truglio is the senior vice president of curriculum and content at Sesame Workshop, where she is responsible for the development of the interdisciplinary curriculum on which "Sesame Street" is based, and oversees content development across platforms such as television, publishing, toys, home video, and theme park activities.…

This study describes the problem solving behaviour of bilingual (German - Turkish) primary school students, their approaches and preferences while solving the word problems. Four different types of mathematical word problems (combinations, movement, subtraction and addiction) were given successively to four pupils (one girl and three boys) and…

We describe lessons learned from one-and-a-half decades of global virtual immersion practices in subsistence marketplaces, and explore implications for international business teaching and learning in the post-pandemic world. Global virtual immersion refers to bottom-up learning experiences, typically in contexts much different than what we may be…

Originating from interviews with mathematics colleagues, written accounts of mathematicians engaging with mathematics, and Wes's reflections on his own mathematical work, we describe a process that we call mathematical foresight: the imagining of a resolution to a mathematical situation and a path to that resolution. In a sense, mathematical…

During the summer, we interviewed Tony Bryk, Author of Learning to Improve: How America's Schools Can Get Better at Getting Better and head of the Carnegie Foundation for the Advancement of Teaching. His work was seminal in the creation of the Framework for Great Schools, which has spurred New York City schools to rethink the structures and…

In this paper, we report on the implementation of a novel compute-to-learn pedagogy, which is based upon the theories of situated cognition and meaningful learning. The "compute-to-learn" pedagogy is designed to simulate an authentic research experience as part of the undergraduate curriculum, including project development, teamwork,…

One area of algebraic thinking essential for students' success is a relational understanding of the equal sign. Research has indicated a positive correlation between students' relational understanding of the equal sign and their equation-solving performance, suggesting that students' early conception of the equal sign may affect their learning and…

In this article we present and discuss experiences developed through a dialogue conference which we organised as part of a three-year participatory action research project related to primary education and agricultural education in Tanzania. We explore how dialogue conference as a research method can fill a gap between traditional ways of mutual…

A story problem about borrowing money, presented in this article, may be represented with positive or negative numbers and thought about in different ways. The authors describe ideas related to integers (both positive and negative) and how students used them in relation to a story problem, and how they related these ideas to equations.

Previous research into problem solving in physics resulted in researchers introducing six epistemic games to describe the organizational structures of locally coherent resources. We present a new epistemic game--the "answer-making epistemic game"--which was identified in this paper through the analysis of interviews carried out to validate a…

In this paper, the RBC+C framework (Hershkowitz, Schwartz, & Dreyfus, 2001) is used to analyse and describe construction and consolidation of mathematical knowledge by primary pupils in a whole-class setting. I describe a lesson that concerned what is commonly termed the Handshakes problem. One pupil spontaneously established a connection with…

As part of the author's doctoral program at the University of Hawai'i at Manoa, she conducted a study to determine whether and how former sixth-grade students at Waikiki School were using the thinking processes and strategies they were taught in elementary school when they were in middle school. In order to find this out, she interviewed eight…