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,…

This note presents a teaching suggestion, using the history of mathematics, to give students from middle school and high school the possibility of facing problems found in old mathematics books and comparing their solutions with those given in those books. (Contains 3 figures and 1 table.)

This paper examines the intersection between creativity, problem solving, cognitive psychology and neuroscience in a discussion surrounding the genesis of new ideas and innovative science. Three creative activities are considered. These are (a) the interaction between visual-spatial and analytical or verbal reasoning, (b) attending to feeling in…

The National Council of Teachers of Mathematics (2000) recommends that students at all grade levels be provided with instructional programs that enable them to "create and use representations to organize, record, and communicate mathematical ideas; select, apply, and translate among mathematical representations to solve problems; and use…

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

Meanings of "surprise" are wide and include uplifting and engaging facets like wonder and amazement on the one hand as well as ones that may be of the opposite nature like interruption and disrupt on the other. Pedagogically, educators who use surprise in class activities are focusing on students being "taken aback" by a situation, hopefully…

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…

This book presents materials, activities, background information, and student handouts for conducting educational programs that allow students to explore packaging and handling practices as these relate to waste generation and management options. An educational approach used in the development of these materials is based on the idea that solid…

These learning activities are intended to help elementary school children learn how to communicate, cooperate, and prevent or solve conflicts through creative thinking. There are 17 chapters. The first five chapters provide background information for teachers, discussing the Children's Creative Response to Conflict (CCRC) Program, ways to create a…

A practical guidebook of ideas, lesson materials, and related resources for developing imaginative and productive thinking skills of children is presented to assist teachers and parents. Emphasis is placed on the use of strategies and techniques that enhance originality, mental imagery, reverie, reflection, humor, novel playfulness, and divergent…

Four books are incorporated into a volume for secondary and postsecondary teachers who wish to become familiar with experiential learning techniques. An overview on experience-based learning and the facilitative role of the teacher is presented in Book One. Book Two deals with planning with students, Book Three concerns the monitoring of student…

Mitchell High School's Senior Seminar is a 5-credit interdisciplinary and experiential intensive learning program offered for one semester during a student's senior year. During that time the student takes no other coursework; he focuses on single subjects in learning blocks that may extend from two to four weeks. Program goals center on learning…

This study examined the effects of level of instructional scaffolding on students' use of Geometer's Sketchpad and other software tools in a technology-integrated geometry curriculum. In order to revitalize education at the secondary level and in particular in the mathematics curriculum, educational reformers have advocated the incorporation of…

This booklet is designed to be used with a video of the classroom of second-grade teacher Victoria Bill. The 40-minute video shows the teacher using a variety of manipulations, facilitating both large- and small-group discussions, and applying a problem-solving approach to math. The text in the booklet is based on spoken comments made by observers…