In this paper, we present an emerging set of learning conjectures and design principles to be used in the development of professional learning tasks that support elementary teachers' learning of mathematics learning trajectories. We outline our theoretical perspective on teacher knowledge of learning trajectories, review the literature concerning…

It seems intuitively obvious that active exploration of a new environment would lead to better spatial learning than would passive visual exposure. It is unclear, however, which components of active learning contribute to spatial knowledge, and previous literature is decidedly mixed. This experiment tests the contributions of 4 components to…

This study investigated the effectiveness of "Solve It!" instruction on students' knowledge of math problem-solving strategies. "Solve It!" is a cognitive strategy intervention designed to improve the math problem solving of middle school students with learning disabilities (LD). Participants included seventh- and eighth-grade…

The teaching brain is a new concept that mirrors the complex, dynamic, and context-dependent nature of the learning brain. In this article, I use the structure of the human nervous system and its sensing, processing, and responding components as a framework for a re-conceptualized teaching system. This teaching system is capable of responses on an…

There is a missing link between our understanding of teaching as high-level social phenomenon and teaching as a physiological phenomenon of brain activity. We suggest that the science of human interaction is the missing link. Using over one-million days of human-behavior data, we have discovered that "collective activenes" (CA), which indicates…

Based on cognitive load theory, it is well known that when studying a diagram that includes explanatory text, optimal learning occurs when the text is physically positioned close to the diagram as it eliminates the need for learners to split their attention between the two sources of information. What is not known is the effect on learning when…

Reading is conceptualized as a hierarchy of component skills where lower order emergent literacy skills set the foundation for higher order reading skills such as fluency and comprehension. Approximately 20% of readers struggle within this hierarchical process (Fielding, Kerr, & Rosier, 2007). Struggling readers are susceptible to the Matthew…

Learning is the acquisition and storage of information as a consequence of experience. The human brain is designed in such a way that thousands bits of sensory data are processed each minute. The brain pays attention to what is relevant to daily life, always asking: "What's going on?" and "How is it important relevant to me?"…

In January 2011, a trio of researchers published the results of an experiment in which they demonstrated that students who read material in difficult, unfamiliar fonts learned it more deeply than students who read the same material in conventional, familiar fonts. Strange as that may seem, the finding stems from a well-established principle in…

This article highlights four concepts related to embodied knowledge for community awareness: (1) possibilities; (2) risk; (3) collective engagement; and (4) performance. It examines the author's narrative study investigation manifested in a performance text as a case study on how women embodied repressed knowledge and released it through…

A conceptual replication of Izumi and Bigelow's research, this study used multiple measures to investigate second language (L2) learners' processes in output-input-output sequences. Specifically, it examined whether producing the target language impacts learners' attention to L2 structures in subsequent input. Thirty learners of English as a…

In this exploratory multiple case study, it is examined how a computer game focused on improving ineffective learning behavior can be used as a tool to assess, improve, and study real-time mouse behavior (MB) in different types of children: 18 children (3.8-6.3 years) with Autistic Spectrum Disorder (ASD), Attention Deficit/Hyperactivity Disorder…

Learning persistence in a cyber-learning environment is not only an index determining the success or failure of individual learners but also a source of important information to establish the management direction of educational programs in an organization. Accordingly, learners need to be motivated to continue to grow in order to ensure both…

College campuses have become rich sites of hip-hop culture and knowledge production. Despite the attention that campus personnel and researchers have paid to student life, the field of higher education has often misunderstood the ways that hip-hop culture exists in college students' lives. Based upon in-depth interviews, observations of…

Approaches to standards, curriculum development, and pedagogy are remarkably diverse; however, recent years have seen a growing movement to base each of these on learning trajectories. In this paper, I discuss and compare the various terms and conceptions of this construct, present our definition, differentiate between our conception and that of…