We perform dynamic investigation of two surprising geometrical properties, each of which involves additional properties. In the first task the property belongs to two regular polygons with the same number of sides and with one common vertex. It is found that all the straight lines that connect corresponding vertices of the two polygons intersect…

An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of…

Geometrography, "alias the art of geometric constructions" was proposed by Emile Lemoine between the late 1800s and the early 1900s. It consisted originally of a system to measure the complexity of ruler-and-compass geometric constructions, capable of: designate every geometric construction by a pair of values that manifests its…

In the last years, the interest of mathematics educators in digital tools has progressively increased, having as consequence a great impact on how teachers plan their teaching activities. In this paper we investigate, by using the Meta-Didactical Transposition, if the peer review methodology, carried out in a blended course, can facilitate the…

This article depicts the challenges of language teachers (and all teachers) in the delivery of the instruction and evaluation of the learning process. The author expressed his own views and perspectives regarding the present situations confronting language teachers and other teachers of different subjects. While technology provides the things we…

Research has shown that individuals resettled as refugees are represented as passive victims who are dependent on government aid, and are often associated with trauma (MacDonald, 2015; Shapiro & MacDonald, 2017). This should not undermine the traumatic and difficult experiences that people resettled as refugees undergo, but a focus on such…

In the last decade, mathematics teacher educators have begun to design learning opportunities for preservice mathematics teachers using a pedagogies-of-practice perspective. In particular, learning cycles provide a structure for engaging PSTs in learning to teach through the use of representations, approximations, and decompositions of practice…

Promoted by some of the most critical sectors of the education community, the history of the Spanish pedagogical renewal (19th and 20th centuries) shows all kinds of experiences representing an innovative, committed and transformative way to understand both pedagogical processes and the school. This article shows the final results of the…

Background: Capstone design courses represent a critical juncture in students' development at the transition from school to work. However, few studies have systematically explored teaching in this context, leaving a significant gap in our ability to concretely describe faculty practices in ways that support subsequent explorations of the…

Universal design for learning is intended to provide opportunities for all students to be successful. An exploration of Mr. Morales's middle school social studies classroom reveals the universal design for learning principles of multiple means of engagement, representation, and action and expression infused throughout every lesson. These…

The present study intends to inspire special education teachers to envision ways in which to use evidence-based metacognitivist instructional strategies with a higher effect size than 0.4 in inclusive education schools. These evidence-based instructional strategies included: study skills, concept mapping, and reciprocal teaching. Recommendations…

Instructed second language acquisition (ISLA) research has recently attracted more focal attention due to the publications of three books and as the theme of the 2016 Second Language Research Forum (SLRF) conference that celebrated its 35th anniversary in the field of second language acquisition (SLA). Recent definitions (e.g. Loewen, 2015) have…

The information disciplines are rapidly developing and that development brings twofold challenge for library and information science (LIS) education; in terms of delivering the content, and in terms of the content itself. The former means that, as with any other discipline, it needs to implement new technologies and didactic approaches to provide…

As the Catholic Church encounters secularism and pluralism, one of her main responses has been dialogue. Some of the prime manifestations have been the political initiative of the Courtyard of the Gentiles and the plea from the Congregation for Catholic Education for a grammar of dialogue as envisaged in the recent document Educating for fraternal…

This article describes a seminar I taught on Christianity and colonialism. I wanted to introduce students to some content while also allowing them to practice some of the expert skills that we use in religious studies, and more specifically in my own sub-discipline, the anthropology of religion. In particular, I wanted to make more visible some of…