Briefly discusses several frequently encountered barriers to learning--negative impact on inner self, threatening situations, rewards, and blockage of spontaneous exploration--from both theoretical and practical perspectives. Ways in which Logo is useful in removing these barriers are noted. (MBR)

Reviews Logo programming language's developmental history, including Papert's vision, creation of LISP, and evolution of Logo from LISP; discusses reasons for Logo not becoming a commonplace programming language; describes Logo program design and its utility for serious programmers; and lists sources of further information on Logo. (MBR)

When is a gifted child ready for the discovery of a new idea? When is this child ready for independent searching and inquiry? Sometimes in many traditional educational settings, it seems as if a student must wait until graduate school before he is allowed to carry out independent inquiry. At the turn of this century, there is more to learn and…

To discover a generalization from a pattern of data, students need to know how to analyze the data. This is a description of how high school students can find a formula to predict the number of spherical fruits in a piling by using differences. (JP)

Details of pupil exploration as to the largest number of sides that a polygon could have on a geoboard are presented. The problem is not seen as open-ended, but many different avenues of pursuit stem from it. (MP)

Calculators are seen to shift the student focus in problem-solving situations from "how to do it" to "what to do," by keeping computation from standing in the way when pupils write or solve problems. (MP)

A discussion on the general equation of a line shows how students can be lead to discover mathematical properties, find how one discovery leads to another, see how different branches of mathematics can lead to a solution, and be provided with a starting point for studying special mathematical topics. (MP)

Discovery learning, defined as intentional learning through problem solving and under the supervision of the teacher, is discussed in terms of its advantages and disadvantages, with suggestions for its application. (JMF)

Activities designed to aid pupils explore the Fibonacci sequence are presented in worksheets. (MP)

A sophomore-level course in applications of mathematics was designed to introduce students to the diversity of situations in which mathematical models are used. The course precedes the study of the calculus, and is composed of a sequence of modules. A problem-solving approach is used. (SD)

A mathematician who has been teaching for 58 years discusses 3 types of knowledge that are subjects for teaching or learning (what, how, and why) and why teaching must include problem solving or the use of the Socratic, Moore, or discovery method. (MKR)

Discusses the mathematics education philosophy of J. W. A. Young and how it compares to the principles in the National Council of Teachers of Mathematic's "Curriculum and Evaluation Standards for School Mathematics." Elaborates on Young's views concerning rote learning, establishing connections between mathematics and other disciplines,…

As work organizations restructure to remain competitive, problem solving is being pushed down to frontline workers, and emphasis is increasingly placed on workplace learning. In this exploratory, qualitative study, we focus on workers' experiences of problems within the context of their work and how these contexts foster their learning and…