We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.

The continuous improvement (CI) approach to systems change has rapidly spread across education policy circles in recent years and has been hailed as a promising means to achieve educational equity and social justice. CI's highly routinized, scientific process for improving efficiency and productivity is a somewhat unexpected means to pursue…

This paper demonstrates that a teachable agent (TA) can play a dual role in an online learning environment (OLE) for learning by teaching--the teachable agent working as a synthetic peer for students to learn by teaching and as an interactive tool for cognitive task analysis when authoring an OLE for learning by teaching. We have developed an OLE…

Primary school topics involving abstract concepts are challenging to teach. Electric circuits can be simply constructed but complex to explain. New approaches in teaching students for understanding are needed to advance practice in primary science. This paper combines the strengths of multimodality research perspectives with variation theory to…

The purpose of this study was to examine the effects of focus of attention instructions (i.e. focus on the solo, accompaniment, or collaboration) on listeners' performance evaluations. Participants (N = 159) were inservice band directors who listened to and evaluated the accuracy and expressivity of four excerpts of Haydn's "Concerto for…

A single session of vocalizing through a straw (straw phonation) has been associated with consistent or increased acoustic output and chorister-reported improved choral sound and vocal efficiency. Some choristers, however, report discomfort from the intense pressure of vocalizing through a stirring straw (2.5-3.0 mm opening). It is unclear whether…

Background: Concussions are a prevalent injury among youth, and concussion education has the potential to promote positive concussion-related behaviors. Recent recommendations and legislation have increased concussion education provided in schools; however, little is known about the education context, delivery method, development, and evaluation.…

Background: STEM instructors who leverage student thinking can positively influence student outcomes and build their own teaching expertise. Leveraging student thinking involves using the substance of student thinking to inform instruction. The ways in which instructors leverage student thinking in undergraduate STEM contexts, and what enables…

To this day, autopsies and dissections have been essential in medical education, but declining autopsy numbers have endangered this long-standing tradition. Students' perceptions of these teaching methods should be constantly updated to help educators understand how to achieve their teaching goals. The purpose of this study was to explore the…

The main objectives of this study were to determine the percentage of teachers applying the Sport Education (SE) model in a central region of Spain and to identify the features these teachers perceived they were using when applying it. As a secondary objective, an attempt was made to respond to the differences in the application of the model…

This study examined kindergarten teachers' behavioural intentions to implement play-based learning and its relationship to two types of facilitating factors: organisational (i.e., instructional leadership and trust in colleagues) and individual (i.e., teacher self-efficacy). Structural equation modelling examining the direct and mediating effects…

Professional development is important for all teachers to improve the quality of teaching. This study is aimed to investigate the trends of professional development strategy and learning outcome in 2015-2019. A systematic review was used in analyzing 267 articles published between 2015 and 2019 in the Teaching and Teacher Education. The findings…

The present study investigated the effects of teaching experience on teachers' self-efficacy in Kenyan secondary schools. The study used a sequential explanatory design and the Teacher Self-Efficacy Scale. This scale consisted of a total of 24 items with eight items measuring each of the three domains of teacher self-efficacy: student engagement,…

The transition to hybrid and online instruction during the 2020 pandemic presented unprecedented challenges to the field of art education. This resulted in newly formed communities of inquiry and support, representing a wide range of technological skills and teaching experience. This article spotlights the Michigan Art Education Association (MAEA)…

Argumentation, the justification of claims with reasons and/or evidence, has emerged as a significant educational goal in science education in recent years. It has also been noted as an important pedagogical approach in numerous school subjects. Yet, there is limited understanding of how teachers' views of argumentation and its teaching compare in…