We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

Students with disabilities often face significant challenges in developing mathematical problem-solving skills, which are critical for academic success. Traditional problem-solving interventions have primarily focused on skill acquisition, leading to issues with knowledge application in real-world contexts. Enhanced Anchored Instruction (EAI)…

Vectors have important applications both within and outside mathematics, but the concept of vectors is often taught to students in a less-than-engaging way, leading to students feeling inadequate and frustrated. This article describes the use of a mathematical microworld, "Driving with Vectors," to explore vectors using equitable…

This research endeavors to assess the efficacy of Mobile Assisted Language Learning (MALL) in elevating students' English proficiency to the Common European Framework of Reference (CEFR) B1 level. The study involves identifying the most suitable mobile application for formative assessment, implementing it to enhance students' English competency,…

Today math teachers can best reach their students and show them how math surrounds us by using manipulatives, children's literature, and GeoGebra while teaching mathematics. These are some of the best pedagogical practices for teaching mathematics today. In our high-tech world, students need to be proficient in science, technology, engineering,…

This fully updated third edition of "Teaching and Learning with Technologies in the Primary School" introduces practising and student teachers to the range of ways in which technology can be used to support and extend teaching and learning opportunities in their classrooms. Newly expanded to include 50% brand new chapters reflecting the…

This open access book provides related theories, methods, strategies, and practical cases for implementing education reform through blended learning in curriculum, program, and institutions in the digital age. It sums up the research and practice achievements of blended learning from different research teams, involving more than 20 experts from…

The understanding of the basic principles of chromatography is of high importance for chemistry, pharmacy, and biology students. In this paper, we present a free web application which can be used as a teaching tool to introduce chromatography to undergraduate students, using one of the simplest chromatography models: the plate theory.

CRISPR-Cas9 is revolutionizing how we conduct scientific research, treat disease, and develop new crops. The widespread impact of this genome-editing technology makes it critical for undergraduate students to understand and engage with this new tool. In this article, we describe a multi-week lab module that teaches undergraduates how to design…

In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical…

Integrated classrooms and 1:1 initiatives are growing in popularity and maturity. Each year, new school- and district-wide 1:1 initiatives launch. Even if schools are not yet a 1:1 environment, teachers and students likely incorporate and encounter more technology with each passing semester. While new initiatives launch each year, the first wave…

This book aims to broaden the teaching repertoires of pre-service and in-service early childhood teachers so they can better meet the needs of the children they teach. Covering 16 early childhood teaching strategies--ranging from traditional play-based approaches through direct teaching and technology-assisted instruction to postmodern…

Facile visualization of biomolecules is an essential component of the undergraduate biochemistry curriculum. In the past, a number of tools have been used to display biomolecules. More recently, the advent of greater accessibility to virtual reality (VR) and augmented reality (AR) programs has created a new mechanism to visualize biomolecules.…

Globally, less than 10% of schools are developing uniquely local artificial intelligence (AI) policies and addressing use cases. Policies and guide rails for using AI in education that are in place have rightfully called for us to address the ethical implications and biases that can arise with regard to AI tools and systems. The landscape of what…

The use of symmetry is widespread in chemistry, as it is used for predictions of the number of allowed and forbidden absorptions in electronic, vibrational, and rotational spectroscopies; for predictions of the combination of atomic orbitals to produce molecular orbitals; and in many other chemical applications. One critical step in these…