Active learning is becoming more widely accepted in mathematics as a superior teaching method for student learning and, as a result, faculty are increasingly convinced of the benefits. Our study was designed to close a research gap by determining how to support mathematics faculty in transforming their instruction to active learning. We…

This study examines the effect of teacher education courses for technology integration (TECTI) on preservice teacher attitudes and beliefs from 2007-2017. Technology attitudes are the affective stances leading to observable technology integration behaviors. Technology beliefs are the "pedagogical beliefs" on teaching and learning with…

The annual What's Hot in Literacy survey was conducted to determine what topics are currently receiving attention, and how they are being addressed effectively within schools and in the emerging research. Twenty-five literacy experts served as panelists and were interviewed to determine which of the 30 topics were a focus of current attention. The…

Creative thinking is essential for career success in the information age. According to the World Economic Forum, creative thinking ranks as the fastest growing and second-most important skill among employers. Creative thinking also ranks above artificial intelligence (AI) and big data in terms of companies' skills-training priorities for workers.…

Principal Component Analysis (PCA) is a powerful statistical technique for reducing the complexity of data and making patterns and relationships within the data more easily understandable. By using PCA, students can learn to identify the most important features of a data set, visualize relationships between variables, and make informed decisions…

Vocabulary knowledge plays a critical role in supporting text comprehension and broader learning across the school day. While school offers opportunities to build vocabulary knowledge, studies have shown that very little time is devoted to vocabulary instruction at the elementary level. This may be, in part, because educators commonly report being…

One strategy for developing science literacy and scientific literacy in young children is through published trade books. To better understand how science literacy and scientific literacy may be represented in elementary classrooms, we investigated children's books that explore science concepts. Specifically, we examined high-quality science trade…

We consider the problem of bias arising from conditioning on a post-outcome collider. We illustrate this with reference to Elwert and Winship (2014) but we go beyond their study to investigate the extent to which inverse probability weighting might offer solutions. We use linear models to derive expressions for the bias arising in different kinds…

Montessorians, with their long history of careful attention to children's developmental possibilities, can and should develop materials and pedagogical methods that can help children not merely use but master the technologies of the future. This does not mean putting a computer in the hands of every 3-year-old; quite the contrary. Rather, it means…

My personal exploration of how digital technology can support my Montessori practice has been a 20+-year journey. This journey has taken me to many places-- some fascinating, some frustrating. One place I never imagined it would take me (because I didn't even know this place existed) was to a lake in Massachusetts.

Over the past 35 years, the dance domain has adopted sports medicine as a key driver of professional practice. However, similar to limitations identified within sport, research is yet to achieve its full translational potential within applied settings. This "Viewpoints" paper begins to identify and unpick key philosophical and…

This article discusses the necessity and possibilities of introducing ballet training into the process of teaching Chinese ethnic dance from theoretical and practical perspectives involving pedagogical analysis. We propose that there is a homologous and complementary relationship between ballet and Chinese ethnic dance in philosophy, aesthetic and…

Science teacher education literature has emphasized the importance of prospective teachers' prior knowledge of their K-12 experiences as a key factor influencing their professional development as future science teachers. The purpose of the study was to identify the teaching practices in prospective teachers' prior knowledge of science instruction…

Implementing the delayed measure feature in music education has transformed the learning experience for students that are learning to read music. By combining cognitive engagement, visual perception, and real-time performance, this approach enhances students' ability to recognize, process, and perform intricate rhythm and note patterns…

A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…