In this article, the author argues that coordinate geometry and all its trappings should be banned from key stage 2 in English schools. To explain why he makes such a strong statement, he discusses geometry problems tackled by the Ancient Greeks, showing how meaningful problem solving can occur without the use of coordinates and the corresponding…

Many students believe that math is something one learns about, but they do not understand that it is a tool for learning about other concepts. Mathematics is a language used to describe the relationship between objects, events, and time. Learning math requires that a student interacts with a system of symbols just as a person interacts with…

Many students who enter colleges and universities seem to be focused on memorizing and regurgitating information rather than on developing critical thinking and problem solving skills. Mentoring is crucial to help these students transition from the current approach to one that will be successful in college. Successful mentoring requires a…

The aim of this study is to explore student multiple representation skills and creativity in solving mathematical problems when supported by a multimedia whiteboard system. The subjects were 6th grade primary school students that were tested and selected as excellent students in mathematics. Twenty-one numerical and geometry problems were given to…

The present study reports the short- and long-term effects of an anti-bullying intervention program based on a particular set of curricular activities that aimed to create classroom opportunities for awareness raising, self-reflection, and problem-solving situations relevant to bullying. The core of the intervention was a four-week period during…

Children's problem solving while working by themselves or with a partner was investigated to explore whether young children are susceptible to social facilitation and social loafing. Five-year-olds were asked to complete easy or hard puzzles, either alone or with a partner. Half of the children were given instructions indicating that their…

A typical form of thinking to approach problem solutions humanly is thinking in analogous structures. Therefore school, especially mathematical lessons should help to form and to develop corresponding heuristic abilities of the pupils. In the contribution, a summary of possibilities of mathematics lessons regarding this shall particularly be…

Intelligent tutoring systems are highly interactive learning environments that have been shown to improve upon typical classroom instruction. Cognitive Tutors are a type of intelligent tutor based on cognitive psychology theory of problem solving and learning. Cognitive Tutors provide a rich problem-solving environment with tutorial guidance in…

In mathematics instruction, can a teacher implement surface features of instruction that foster self-regulated learning as well as achieve quality at the deeper level of instruction, that is, focus on higher-order thinking, problem-solving, and mathematical modeling? An educational reform effort in Switzerland, which is based on constructivist and…

In this article, the author presents an innovative approach to teaching multiplication facts for children in middle school or younger. After introducing the dangers of some contradictions that persist, relating a brief summary of related research and guidelines regarding math facts and their relation to strategic approaches to more complex math,…

The purpose of this article is to provide an overview of research-based interventions that incorporate self-regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self-regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self-regulation and…

One issue that all teachers at all proficiency levels deal with in teaching music--whether in individual or group settings--is how to effectively solve problems encountered during lessons or rehearsals. What differentiates novice teachers from master teachers is the skill and efficiency with which they solve these problems. The seemingly…

The field of education is experiencing a rapid shift as internet-enabled distance learning becomes more widespread. Often, traditional classroom teaching pedagogical techniques can be ill-suited to the online environment. While a traditional entry-level class might see a student attrition rate of 5-10%, the same teaching pedagogy in an online…

This guide is designed to support the development of mathematics proficiency for youth in short-term juvenile correctional facilities. Mathematics proficiency includes mastery and fluency in foundational numeracy; an understanding of complex, grade-appropriate concepts and procedures; and application of those competencies to solve relevant,…

"Reinventing the Open Door" is designed to serve as a practical guide for community college leaders and practitioners as they work to align their programs, services, structures, and processes to meet the demands of their increasingly diverse student bodies and communities. It is also intended for use by community college boards of trustees and…