Throughout the years of the history of the development of mathematics, starting with the ancient mathematicians, new things were discovered from time to time, which made it a central component of the computerized world, which serves us in many fields, with the young "swimming" in it, and the adults asking: how could we live without it!…

In this paper, we explore how the typical second year undergraduate topic of matrix diagonalisation can be applied to solve a geometric problem which arises frequently in Vector Calculus: to find the curve of intersection of a plane and a surface. We use GeoGebra, which offers a cost-free and dynamic interface, to explore a specific variant of…

We discuss transforming STEM education using three aspects: learning progressions (LPs), constructed response performance assessments, and artificial intelligence (AI). Using LPs to inform instruction, curriculum, and assessment design helps foster students' ability to apply content and practices to explain phenomena, which reflects deeper science…

Recent advances in Artificial Intelligence (AI) have brought society closer to the long-held dream of creating machines to help with both common and complex tasks and functions. From recommending movies to detecting disease in its earliest stages, AI has become an aspect of daily life many people accept without scrutiny. Despite its functionality…

In times of turbulence, uncertainty, novelty, and ambiguity--the so-called TUNA conditions--our experience of the past may prove a poor guide to the future times in which our decisions and their consequences will unfold. Under such conditions, the manufacture of scenarios that are plausible future contexts for a given issue and are designed to…

The options for Artificial intelligence (AI) tools used in teacher education are increasing daily, but more is only sometimes better for teachers working in already complex classroom settings. This team discusses the increase of AI in schools and provides an example from administrators, teacher educators, and computer scientists of an AI virtual…

Research has demonstrated the need to prepare higher education faculty for transitioning from in-person to online modality. Researchers note the need to train faculty in course design, building classroom community, and establishing a teaching presence, among other things. This paper describes a professor's participation in a university-funded…

I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.

This paper explains how to prepare students to learn faster, as learning is not directly connected to classroom teaching. Learning can happen in various forms, and hence, experiential teaching connects students well. The learning could be faster and far greater than expected. This study follows a process incorporated for betterment and advancement…

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…

Using software to teach statistical inference in introductory courses opens the door for methods and practices that are more conceptually appealing to students. With an increasing number of fields requiring competency in statistics including data science, natural and social sciences, public health and more, it is crucial that we as instructors…

Mathematical writing (MW) can support students' mathematical learning and is common in mathematics assessment. However, MW is known to be particularly challenging for students with learning disabilities. While the use of model compositions of both high- and low-quality writing and the act of revision are evidence-based practices in writing…

The history of educational technology is replete with stories of mostly White men who have conducted some of the leading innovations in the field. The stories of educational technologists from minority backgrounds have largely gone untold, perhaps giving the false impression that such individuals were not involved in this field. This article…

Phonemic awareness is a key building block for later reading and spelling development. Students at risk for reading difficulties may have difficulties with phonemic awareness and need additional instruction or intervention to develop these skills. This column discusses evidence-based phonemic awareness instruction and the implementation of…

ePUZSOLVED is designed to help students understand the general communication models and experience the advantages and disadvantages of each. It will highlight how various modes of communication, when used appropriately, may lead people to solve problems, as exemplified by the online puzzle. Courses: Introduction of Communication Models, Review of…