Learning to respond to a computer program that is not working as intended is often characterized as finding a singular bug causing a singular problem. This framing underemphasizes the wide range of ways that students and teachers could notice discrepancies from their intention, propose causes of those discrepancies, and implement interventions.…

The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

This paper is just a sample template for the prospective authors of IISTE. Over the decades, the concepts of holons and holonic systems have been adopted in many research fields, but they are scarcely attempted on labour planning. A literature gap exists, thus motivating the author to come up with a holonic model that uses exponential smoothing to…

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Students are growing up in a digital world where technology is constantly changing and evolving. However, their use of these technologies is often more social rather than academically as a way to advance their understanding of key concepts or skills as it relates to instructional content. Teachers know how to teach, and our students are definitely…

Lucy Moonen set out to explore whether collaborative writing in small groups, facilitated by the use of Google Docs, would help to sustain students' focus on essay writing as the development of an historical argument. She explains how she set up an essay on the League of Nationals as a collaborative task and demonstrates how the technology enabled…

Many school counsellors have identified "cyber-bullying" among adolescent girls as a growing concern. In order to respond to this issue, this article begins with a new model of cyber-communications from the unique perspective of adolescent girls. Next, it explores the limitations of responding to this model, based on current understandings of…

High schools today have a unique challenge: to equip students with the knowledge and tools they need to prepare for, apply to and enroll in college--all while proving them with digital resources and skills essential for the 21st century. This guide by the Pullias Center's Digital Equity in Education team provides a general overview of what a…

This article uses the analytic lens of power relations and models of power to examine how the participation of two students in an urban US eighth-grade English language arts class was symbolically and literally deleted. The researcher asks why do some students fail despite being placed in a technologically rich educational environment that…

Nowadays, many technological means are available to support teaching, such as the interactive whiteboard, class sets of laptop or netbook computers, and high speed internet access. For mathematics education there are advanced software packages for geometry, algebra, calculus, and statistics, which in many cases are available on line at no cost.…

In this article, the author describes an activity she has used with two different groups: (1) high attaining year 8 children; and (2) Secondary Mathematics PGCE students. In the activity they created what was, ostensibly, the same geometrical objects using paper folding, pencil, ruler and compasses, and the "Geometer's Sketchpad"--an example of…

Harnessing student energy for the positive use of technology in the classroom requires significant change for many educators. Students today exhibit a one-click mentality when using computers in the classroom, and are frustrated when they are not provided with instant gratification. Gone are the reading and higher level thinking skills of the pen…

A popular humorist and avowed mathphobe once declared that in real life, there's no such thing as algebra. Kathie Wilson knows better. Most of the students in her 8th grade class will be thrust into algebra, the definitive course that heralds the beginning of high school mathematics, next school year. The problem: Many of them are about three…

A self-proclaimed technophobe, Kuroly takes the plunge with his eighth-grade class. As a group, they learn PowerPoint, research poets on the Web, and record favorite poems, all of which results in a triumphant series of PowerPoint presentations on favorite poets.

This paper extends the theory of conditional covariances to polytomous items. It has been proven that under some mild conditions, commonly assumed in the analysis of response data, the conditional covariance of two items, dichotomously or polytomously scored, given an appropriately chosen composite is positive if, and only if, the two items…