This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…

An augmented reality (AR) application and an activity worksheet have been developed to support students in visualizing the concepts involved when solving [superscript 1]H NMR problems. This instructional resource was designed to encourage conceptual problem-solving and prevent memorization by eliminating the use of chemical shift tables. It uses…

The purpose of this article is to set out the design principles and architecture of a second language (L2) learning voice chatbot. Building on L2 acquisition theories and chatbot research, in this article, we report on a South Korean government-funded longitudinal project in which we designed and developed a chatbot called "Ellie".…

The technology works as a catalyst through which many changes occur in the learning approaches, teaching methodologies, research arena, in the work environment and in the use of information and knowledge. Helping students to learn using technological tools rather than using conventional techniques has become more popular in the 21st century in…

Solving systems of equations at school, at least in Argentina, is usually a task that students are given as a series of techniques that "allow" them to find a solution. How to overcome educational obstacles that are generated from a fragmented approach of knowledge? What can DGS do, in particular the CAS environment? What epistemic and…

This writing looks at an elemental aspect of learning and communication, the question, and contends that questions can be viewed as a technology for education. Questions that we ask in the classroom, online, or in discussion can shape learning and develop skills in students, and they should be more systematically employed in education. This…

Cell phones have been banned in 69% of today's classrooms (CommonSense, 2010). Reasons for the banning of cell phones may seem obvious--kids will misuse them to cheat, use textese in place of Standard English, cyberbully, and sexting (Brady & Conn, 2006; Johnson, 2004; Obringer & Coffey, 2007). These fears have disregarded the fact that today's…

In the first piece in this series ("Teaching for Engagement: Part 1: Constructivist Principles, Case-Based Teaching, and Active Learning"), William Hunter sought to make the case that a wide range of teaching methods (e.g., case-based teaching, problem-based learning, anchored instruction) that share an intellectual grounding in…

The fluency of basic arithmetical operations is a precondition for mathematical problem solving. However, the training of skills plays a minor role in contemporary mathematics instruction. The authors proposed individualization of practice as a means to improve its efficiency, so that the time spent with the training of skills is minimized. As a…

A combination of regular classroom teaching with the use of resources available on the Moodle platform has been designed to foster the development of skills for learning to learn for students in an undergraduate general chemistry course. The use of the Moodle platform essentially aimed at strengthening the students' prior knowledge of…

In this paper we examine how two groups of middle school students arrive at shared understandings of and solutions to mathematical problems. Our data consists of logs of student participation in the Virtual Math Teams (VMT) system as they work on math problems. The project supports interaction both through chat and through a virtual whiteboard. We…

Fluid intelligence (Gf) predicts performance on a wide range of cognitive activities, and children with impaired Gf often experience academic difficulties. Previous attempts to improve Gf have been hampered by poor control conditions and single outcome measures. It is thus still an open question whether Gf can be improved by training. This study…

Critical user interface design features of computer-assisted instruction programs in mathematics for students with learning disabilities and corresponding implementation guidelines were identified in this study. Based on the identified features and guidelines, a multimedia computer-assisted instruction program, "Math Explorer", which delivers…

Two studies investigated the effects on students' perceptions (Study 1) and learning and motivation (Study 2) of different levels of feedback in mathematical problems. In these problems, an error made in one step of the problem-solving procedure will carry over to the following steps and consequently to the final solution. Providing immediate…

Two groups of students aged between 12 and 14 years--27 with attention deficit/hyperactivity disorder (ADHD) and 28 with both ADHD and learning problems--were compared to a sample of 29 typically developing students in terms of the acquisition and retention of declarative, conditional and procedural knowledge either in a hypermedia learning or in…