In this exploratory study, we considered the method of combining event-related potentials (ERPs) and source attributions as a means for examining the explicit or implicit nature of second language (L2) knowledge and processing. We recorded electroencephalograms while L2 Spanish participants judged phrase structure and subject-verb agreement…

Functional thinking is an established route into algebra. However, the learning mechanisms that support the transition from arithmetic to functional thinking remain unclear. In the current study we explored children's pre-instructional intuitive reactions to functional thinking content, relying on a conceptual change perspective and using mixed…

Four experiments examined the claims that people can intuitively assess the logical validity of arguments, and that qualitatively different reasoning processes drive intuitive and explicit validity assessments. In each study participants evaluated arguments varying in validity and believability using either deductive criteria (logic task) or via…

Mathematical proof is a logically formed argument based on students' thinking process. A mathematical proof is a formal process which needs the ability of analytical thinking to solve. However, researchers still find students who complete the mathematical proof process through intuitive thinking. Students who have studied mathematical proof in the…

This scholarly personal narrative explores the use of contemplative practices by teachers to support the development of authentic relationships with their students. The narrative demonstrates the value of contemplative practices in education by telling the story of the author's first seven years as a Waldorf teacher and the contemplative practices…

Continuing our critique of the classical derivation of the formula for the area of a disk, we focus on the limiting processes in geometry. Evidence suggests that intuitive approaches in arguing about infinity, when geometric configurations are involved, are inadequate, and could easily lead to erroneous conclusions. We expose weaknesses and…

Experiments on theories of reference have mostly tested referential intuitions. We think that experiments should rather be testing linguistic usage. Substantive Aim (I): to test classical description theories of proper names against usage by "elicited production." Our results count decisively against those theories. Methodological Aim…

This study takes a novel qualitative approach to the investigation of everyday insight experience. It offers ecological validation to findings principally rendered, prior to this research, from a quantitative, cognitive standpoint. In addition, it considers emotional as well as cognitive components of insight. Participants were given different (or…

Creating teacher-authored materials can be a challenging task for a variety of reasons. While relying on coursebooks to provide a ready-made structure to our classes, we often design our own materials to meet some of the specific needs and interests of our learners. Teachers usually approach the task of materials development through intuition and…

Pedagogical tact concerns a teacher's ability to adequately handle complex classroom situations that require immediate action. As such, pedagogical tact can be viewed as an enactment of teachers' intuition. While most teachers, teacher educators, educational leaders and scholars readily recognise the importance of pedagogical tact (and by…

Tacit knowledge, intuitive responses, empirical research -- how can design elevate itself as a discipline when its main forms of knowledge gathering and generation are still believed to be less valuable than those in traditional academia? Beginning design students must learn to put words to their actions, to understand their processes and to be…

Physics education research over the past few decades has made significant advances toward improving instructional practices and developing effective instructional materials for physics classrooms. In some contexts, however, after multiple instructional refinements difficulties can remain persistent. Recent findings in PER suggest that many of…

This exploratory and experimental research aims to describe randomness expressed in 5 to 6-year-old children's drawings. This study considers a six-day activity developed in 5 Chilean kindergartens, with a total of 142 participants. The activity on the mosquito's flight considered the corporal movements to generate the idea of randomness in…

In this article I wish to demonstrate the value of a quality relationship and good communication in the therapeutic process of counselling and psychotherapy. From the very first session, it is important to establish a trusting interaction between the client and the therapist in order to achieve a correct assessment and to establish a meaningful…

Teaching grammar topics is a difficult and complex process. This process needs to be structured with functional activities that are appropriate for the objectives of the instruction, be it face-to-face or distance education. This study aims to investigate and evaluate the quality of grammar instruction in the Turkish lessons on the Education…