Among the materials used for teaching are texts: written descriptions and explanations of the mathematical ideas. This work of interpretation is essential to the life of mathematics; in its absence, mathematical knowledge is nothing but squiggles on paper. Up to now, explanatory math texts have been used almost exclusively in an uncritical way. In…

Black, Wilson, and Yao (this issue) lay out a comprehensive vision for the way that learning progressions (or other "road maps") might be used to inform and coordinate formative and summative purposes of assessment. As Black, Wilson, and others have been arguing for over a decade, the effective use of formative assessment has great potential to…

This commentary discusses the four papers that comprise the special issue on dialogic teaching and learning, while making general observations that apply across the field as a whole. Similarities and differences are identified over the concepts of "dialogue" and "dialogic pedagogy". The possibility is raised that some aspects…

In this paper, the author seeks to initiate a conversation about the discomfort that can emerge and the violence that might possibly take place in the "critical", dialogic, and justice-oriented Foundations of Education classroom between students and instructors when all are invited to negotiate "the necessary conditions" for learning. Believing…

This article presents the experiences of six bilingual Spanish-English students transitioning from high school to college, highlighting the ways they theorize translation and its relationship to writing and learning. As increased attention to theories of translingualism has established translation as deeply embedded in writing processes, and…

This article discusses a case for a different, socio-cultural way of looking at learning progressions as treated in the next generation science standards (NGSS) as described by Ralph Cordova and Phyllis Balcerzak's paper "Co-constructing cultural landscapes for disciplinary learning in and out of school: the next generation science standards…

Paul Black, Mark Wilson, and Shih-Ying Yao in "Road Maps for Learning: A Guide to the Navigation of Learning Progressions" provide a number of important ideas to consider regarding the development of assessments and curriculum materials to support development of core ideas. One major idea that the author found most valuable is the focus on student…

The ultimate goal of "student-centered" education is to empower students to learn beyond educational programs. This means nurturing students' autonomy and fostering the development of their own motivation and mechanisms to become self-directed learners. This idea has been embodied in the "lifelong learning" mantra that pervades contemporary views…

In this regular feature of "Educational Technology," Michael F. Shaughnessy and Susan M. Fulgham present their interview with Ryan Watkins, Associate Professor of Educational Technology at the George Washington University and the author of 10 books and more than 95 articles. In this interview, Watkins discusses the following topics:…

A powerful scholarship of teaching and learning may well be one of the best counters to the instrumentalist and reductionist impulses in the educational reform movement today. The author believes an opening exists in the conversation on the scholarship of teaching and learning that is mentioned only in passing by Killen and Gallagher. About a…

In this essay, the author explores the notion that the focus of learning in classrooms and schools extends beyond the learning of individuals to create a collective body of knowledge that is larger than what any one person knows. This idea was examined in a collaboration between Project Zero researchers and educators from the municipal preschools…

The Black, Wilson, and Yao (this issue) provide a wide-ranging commentary and vision of the interrelationships among curriculum, pedagogy, and assessment. Specifically, they describe how the Berkeley Evaluation & Assessment Research (BEAR) Center Assessment System can be used to integrate and systematize these areas. This commentary focuses on…

The commentary discusses phenomena highlighted in the studies of the special issue such as the hypercorrection effect, overconfidence, and the efficiency of interventions designed to increase monitoring accuracy. The discussion is based on a broader theoretical framework of self-regulation of learning that stresses the inferential character of…

This commentary investigates the extent to which the control-value theory of emotions (Pekrun, 2006) is applicable in online learning environments. Four empirical studies in this special issue of "The Internet and Higher Education" explicitly used the control-value theory as their theoretical framework and several others have components of the…

In this issue, Cavanaugh, Giapponi, and Golden (2016) have discussed the new prominent role of digital devices in the lives of students; the possible impact of these widely-used technologies on developing, learning minds; and the relevance of new cognitive neuroscience research and technologies for better understanding the potential effects of…