An engineering problem concerned with relating the coordinates of the centre of a spherical cutting tool to the actual cutting surface leads to a potentially rich example of problem-solving techniques. Basic calculus, Lagrange multipliers and vector calculus techniques are employed to produce solutions that may be compared to better understand…

A lot has been made of the topical puzzle Su Doku, with various claims that it can support development of mathematical abilities. The latest, in March this year, came from the Training and Development Agency when a giant puzzle was used to attract graduates into a career of maths teaching. A giant Su Doku puzzle toured busy city centres with the…

This article illustrates how the arithmetic series 1 + 2 + 3 + ... + n is pervasive in mathematical contexts as a powerful problem-solving tool.

In this article, the author discusses how teachers should not merely teach their students content-mastery and problem-solving skills. She believes that teachers should learn about the sources of their students. The author discusses that in order to effectively teach students, teachers must not give everything to their students. Students must be…

The Career Mathematics file is an occupational problem-solving system, which includes a wide range of mathematical problems and solutions, collected from various resources and helps students establish connections between mathematics and their environment. The study shows that the problems given can be used as realistic examples to study and…

Background: Protective factors associated with positive youth development predict health and education outcomes. This study explored trends in these protective factors and in physical activity among low-income students, and determined the impact of a school-based youth development program on these trends. Methods: This study used a…

Using a multiple-gating procedure, 5 research sites (3 elementary and 2 middle schools) were identified as implementing a Response to Intervention (RTI) framework. This study uses a multiple case study design to describe the RTI implementation in reading at these 5 sites. Findings suggest that the sites studied are utilizing a hybrid model (a…

This book is an easy-to-read primer that describes what it takes to increase student achievement at every grade level, subject area, and student group. Readers will learn how to use data to drive their continuous improvement process as they develop an appreciation of the various types of data, uses for data, and how data are involved with the…

"What does a great paraprofessional need to know and do?" Find out in this survival guide, equally useful for the brand-new paraprofessional or the 20-year classroom veteran. Packed with friendly guidance, practical tips, and relatable first-person stories, this book reveals the best ways to provide effective, respectful services to students in…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Governments and other stakeholders have become increasingly interested in assessing the skills of their adult populations for the purposes of monitoring how well prepared they are for the challenges of the new information world. The current paper provides an overview of the conceptual framework developed for the assessment of problem solving in…

In this paper we consider prior definitions of the terms "ill-defined domain" and "ill-defined problem". We then present alternate definitions that better support research at the intersection of Artificial Intelligence and Education. In our view both problems and domains are ill-defined when essential concepts, relations, or criteria are un- or…

In this study, the effects of teacher-directed and self-directed problem-solving strategies on students' attitudes toward physics were explored. Problem-solving strategies were used with the experimental group, while the control group was instructed using traditional teaching methods. The study was conducted with 270 students at various high…

Technology is a natural part of education for all students across a variety of subjects, including mathematics, as educators work to prepare students for tomorrow's work force and align their curriculum and teaching with national standards such those developed by the National Council of Teachers of Mathematics (NCTM, 2000). This article reviews…

The concept of "wicked issues", originally developed in the field of urban planning, has been taken up by design educators, architects and public health academics where the means for handling "wicked issues" has been developed through "reflective practice". In the education of teachers, whilst reflective practice has…