This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: (1) A focus on the research areas that have benefited from Dr. Silver's intellectual…

Imagine teachers, administrators, and university mathematicians and staff learning together in a lab setting where students are excited about attending a week-long summer math event because they are at the forefront of the experience. Piloted in three New Mexico classrooms during summer 2014, MathLab expanded into 17 lab settings over six…

In this action research, first-graders were challenged to cope with a sequence of modelling tasks involving an analysis of given situations and choices of mathematical tools. In the course of the sequence, they underwent a change in the nature of their problem-solving processes and developed modelling competencies. Moreover, during the task…

This paper presents a qualitative case study of statistical practice in a university-based statistical consulting centre. Naturally occurring conversations and activities in the consulting sessions provided opportunities to observe questions, problems, and decisions related to selecting, using, and reporting statistics and statistical techniques…

This study offers an analysis of the learning of practicing teachers as they acquire a deeper knowledge of mathematics. While some professional developers have shifted part of their focus to helping practicing teachers acquire a deeper knowledge of mathematics (e.g., Stein & Silver, 1996), the results from studies often describe what translates…

A mathematics contest for community colleges is described. A two-hour written examination is followed by a problem-solving competition between teams. (MP)

States that real problem solving must become an effective and integral part of education at all levels. Describes the relationship of real problem solving to the USMES class, interdisciplinary education, and the total school program. (GS)

US students continue to lag behind the rest of the world in science, technology, engineering, and math--taken together, STEM. Even as the US falls further and further behind other countries in these four critical academic areas, not everyone sees it as a crisis. Fortunately, there are those who do. One organization out front on the issue is,…

Incorporating computers and computing into high school mathematics courses and college teacher-education courses had no negative effects on students' achievement levels and attitudes toward mathematics and had a positive effect on their attitudes toward computers. (Author)

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

Alternative techniques are suggested to some of the conventional approaches to teaching problem solving. Three general, conventional approaches are noted, and the nature and use of visual thinking is detailed as the fourth alternative. Examples of lessons with fifth graders using the fourth approach are provided to promote this method. (MP)

This document is intended as a resource and guide to help teachers integrate a problem-centered approach into their curricula. It outlines the typical components of problem-centered mathematics and science activities, and offers practical suggestions, examples, and resources to assist this endeavor. The first section of this document, "What is…

Three types of homework are described: consolidation, challenge, and diagnostic. Details on homework for less able students, general guidelines, and replies to arguments against a homework program are included. (MP)

Details of a course on mathematical modeling for graduate teachers of mathematics are presented. The rationale, objectives, course content, assessment methods are discussed along with several illustrative examples and difficulties encountered in finding appropriate problems. (MP)