The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in…

In this paper, we derive an equation for the distance covered by a free-falling body as a function of time valid for any arbitrary distance. The equation, interestingly, yields exactly the time according to the Kepler's third law in the limiting case of very large distance compared to the radius of the Earth. The equation, of course, reduces to…

Learning by engaging in the practices of a discipline (practice-based learning) provides museum visitors with opportunities to construct understandings that build on their prior experiences and interests. However, effectively facilitating such learning experiences is difficult. We present a framework that supports facilitators in providing…

The article discusses the origin and development of the school system on the territory of Vologda province in 1725-1917. In the second part of the study, the authors examine the development of the public education system from the end of the 1840 to 1864. In solving research problems, both general scientific methods (concretization and…

The sociological imagination is a core component of all introductory sociology courses. A main focus of this perspective is how social forces are related to individual lives. Undergraduates are often socialized to rely on individualistic explanations of public issues. These explanations often blame, dehumanize, and other the victim, thereby…

New technological developments have frequently had major consequences for anatomy education, and have raised ethical queries for anatomy educators. The advent of three-dimensional (3D) printing of human material is showing considerable promise as an educational tool that fits alongside cadaveric dissection, plastination, computer simulation, and…

Structured thinking activities (STAs) are pedagogical tools used to support metacognition in classrooms. Despite their popularity, little is known about how pupils use STAs as platforms to think about and manage their own thinking (i.e. as metacognitive tools). This case study investigated pupils' use of STAs in relation to metacognition…

Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

A four-month research period into the practice of free music improvisation in Brazil during February-June 2014 allowed intriguing insights into how musicians think about, play and teach the music practice that is referred to as 'free improvisation.' An overview of the term 'free improvisation' with some historical context on its development will…

The need for methods, techniques and approaches that we can develop high-level thinking skills in important activities increases day by day in order to achieve effective use of technology and change in information and communication technologies. In particular, the diversity, complexity of technical skills and to gain technical skills required to…

The mathematics education field recognizes the importance of noticing children's mathematical thinking as a means for supporting children in learning mathematics (Sherin et al. Mathematics teacher noticing. Routledge, New York, 2010). Using the existing literature base around teachers' knowledge of children's mathematical thinking and…

The author describes a literacy activity that took place in an 11th-grade English language arts classroom: student-created role-play. Through a discussion of two such role-plays, the author explores how these performances illustrate students' engagement with raciolinguistic ideologies that marginalize certain speakers through the simultaneous…

Inquiry instruction often neglects graphing. It gives students few opportunities to develop the knowledge and skills necessary to take advantage of graphs, and which are called for by current science education standards. Yet, it is not well known how to support graphing skills, particularly within middle school science inquiry contexts. Using…

Previous meta-analyses on peer tutoring have mainly included studies using treatment-control/comparison design and excluded studies that adopted pre-test-post-test design. However, some recent meta-analyses on other interventions adopting pre-test-post-test design revealed that certain crucial intervention moderators should be considered when…

This coda article offers unified theoretical accounts of the major findings of the empirical studies in this special issue of "Optimizing Second Language Practice in the Classroom: Perspectives from Cognitive Psychology." We present a theoretical framework from cognitive psychology (desirable difficulty framework) and link it to the…