Sensitive topics evaluation presents both a maze and a minefield to qualitative evaluators due to their complexity and their potential to create areas of misanalysis. For novice and experienced qualitatve practitioners alike, the evaluator can find the task of broaching complex content and developing trusting relationships to be serious…

Evidence suggests that some students have learned procedures with little or no underpinning understanding while others have a much more connected and conceptual levels of understanding. In this article, the work of four primary students is discussed in terms of their contextual understanding of multiplicative concepts. The difference between…

This chapter describes a multidisciplinary faculty self-study about reciprocity in service-learning. The study began with each coauthor participating in a Decoding interview. We describe how Decoding combined with collaborative self-study had a positive impact on our teaching practice.

The aim of this article is to contribute to the understanding and use of the theory of communities of practice. In order to clarify terms, explore applications for education and reflect on various critiques of the theory in the literature, two educational researchers conducted a series of interviews with the theorist Etienne Wenger-Trayner. The…

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Based on a study with six elementary school teachers and 115 students in grades 3, 4, and 5, this article discusses ways that teachers might support an understanding of variable as students explore pattern-finding activities. The practices emerged from interviews with teachers and a yearlong observation of teaching algebraic thinking during an…

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…

The minus sign is a mathematical symbol that is multi-functional. Yet, how often is its use explicit to the non-mathematician, or more importantly the learner, who is expected to interpret the symbolism appropriately, when often the "meaning" stems from context of its use. From the perspective of the learner, such nuances of use simply…

The ability to reason with formal logic is a foundational skill for computer scientists and computer engineers that scaffolds the abilities to design, debug, and optimize. By interviewing students about their understanding of propositional logic and their ability to translate from English specifications to Boolean expressions, we characterized…

In this paper, we discuss the characteristics of a form of pedagogy capable of addressing differences across nations and cultures in ways that do not inflate differences. We suggest that those conceptual insights are particularly relevant to the teaching of "global citizenship". We have labelled this a "worldly" pedagogy,…

In this article, the author tells the story of her search for appropriate tools to conceptualise policy work. She had set out to explore the relationship between the Programme for International Student Assessment (PISA) of the Organisation for Economic Co-operation and Development (OECD) and Australia's education policy, but early interview data…

This paper outlines the theoretical foundation of a skill enhancement programme in early childhood settings which follows the ideas of the Anti-Bias approach. A focal point of the concept is to acknowledge the connection between societal, structural and individual biases. It challenges those biases and assists educators in improving their…

The Quantum Mechanics Conceptual Survey (QMCS) is a 12-question survey of students' conceptual understanding of quantum mechanics. It is intended to be used to measure the relative effectiveness of different instructional methods in modern physics courses. In this paper, we describe the design and validation of the survey, a process that included…

Although preservice elementary school teachers (PSTs) lack the understanding of multidigit whole numbers necessary to teach in ways that empower students mathematically, little is known about their conceptions of multidigit whole numbers. The extensive research on children's understanding of multidigit whole numbers is used to explicate PSTs'…