This study investigated the effect of presentation of a good solution method on poor students' solving generalization problems and the difference between good and poor students' evaluation of a good method. Subjects were fourth, fifth, and sixth graders. Three hints were presented: the suggestion of using a "solve a simpler problem" strategy,…

This paper examines to show how an investigative approach to mathematics teaching can honor its two important dimensions--a thinking and reasoning side to go with the skill development. The paper addresses the question of why a problem solving approach has failed, makes the case for investigations as an overarching organizer, and discusses the…

This book describes an approach to mathematics instruction that attempts to honor children's thinking and sense-making ability. The book aims to weave strands of mathematics (addition, subtraction, place value, and problem solving) together and offer a wide variety of contexts for genuine mathematical exploration. The book is intended as a…

Identifies 31 research topics concerning the future that geographers can explore. Suggests how various research topics will benefit society as well as geographic education. Topics include malnutrition as a cause of social instability, cultural exclusion of the aged, global firewood shortage, and vulnerability of water supplies. (Author/DB)

Describes an exercise designed to help students experience the inequities of land and wealth distribution and to raise serious questions about solutions to those inequities. (FL)

Presents a solution of the three-sailors-and-the-bananas problem and attempts a generalization. Introduces an interesting way of looking at the mathematics with an idea drawn from discrete dynamical systems. (KHR)

Provides a discussion and an example of a problem which occurs in mathematical contests or entrance examinations and deals with the question of the magnitude of exponentials. Includes additional illustrative examples. (RT)

The deaf student can excel in industrial education programs through a competent and challenging curriculum and a teacher's stimulating presentation of course content. Deaf students have talents and abilities that often remain untapped until appropriate avenues of communication are opened to them. (Author)

Four of the author's favorite calculus word problems are presented. These aid students in recognizing and applying concepts in contexts unlike those in typical textbook problems. (MNS)

This article offers suggestions to teachers of hearing-impaired students on teaching basic mathematical problem-solving skills. Eight suggestions include allowing time for problem solving, encouraging persistence, providing open-ended problems, using problems based on student experiences, and using appropriate evaluation strategies. (DB)

Describes the "Two-Eight" instructional model for students who have arithmetic computational skills but lack the ability to select appropriate strategies to solve problems. Offers examples showing the replacement of the actual values used in a word problem with the simple numeric values of 2 and 8 to create a parallel, solvable problem. (DMM)

The common teaching practice habit of connecting mathematics classroom activities with reality is still substantially delegated to wor(l)d problems. A growing body of empirical research suggests that the practice of word problem solving in school mathematics does not match this idea of mathematical modeling. Presents some classroom activities that…

This article discusses using a Problem-Based Learning (PBL) curriculum to engage gifted learners. The benefits of PBL are described and a list of seven useful Web sites that explain PBL and provide examples of problems that can be used to excite gifted children about learning is provided. (CR)

Young people are growing up at a time when issues of domestic and international conflict and a myriad of problems are increasingly intertwined. Rather than resorting to threats of retaliatory violent action, schools need to find ways to resolve conflicts peaceably. This article proposes that students be given specific opportunities to a)…