Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…

This paper investigates in-service intermediate phase mathematics teachers' metacognitive awareness based on their engagement in a professional development intervention in two rural and one township school in South Africa. Professional teacher development interventions should be structured and collaborative as teachers tend to revert to…

In this study, we investigated teachers' abilities correctly to identify situations that are appropriate for proportional reasoning and factors that might influence their ability using data on 148 teachers from the U.S. Learning Mathematics for Teaching assessment and other, similar items (with a smaller sample). Through a quantitative exploratory…

Background and Context: in this paper, we argue that integrating Human-Computer Interaction (HCI) into K-12 computing education can present learners with opportunities to develop human-centered design skills as well as higher-order thinking skills. Objective: to address the issues related to the development of HCI forms of expertise, we introduce…

Changing an established role in a classroom is difficult. It involves constructing a new set of relations within a community. In this article we investigate how students with newly developed interest and experience in programming developed outside the classroom pick up and establish their roles as experts in programming within the classroom…

With the recent addition of engineering to most K-12 testable state standards, efficient and comprehensive instruments are needed to assess changes in student knowledge and perceptions of engineering. In this study, I developed the Students' Awareness and Perceptions of Learning Engineering (STAPLE) instrument to quantitatively measure fourth…