A study investigated properties of children's naturally occurring arguments. The arguments were sampled from transcripts of 20 discussions held in 4 fourth-grade classrooms. The principal findings were that children's arguments are filled with seemingly vague referring expressions; that the arguments sometimes do not contain explicit conclusions;…

Designed to develop K-3 children's thinking skills before the children have mastered reading, this book presents 32 activities in which children learn to complete analogies--presented with an "attribute block" with 3 attributes, children choose a fourth attribute block to complete the analogy. The attribute blocks in the book are of 4 types--shape…

Suitable for secondary school students, the workbook provides flowcharting activities to help students understand the logical steps used in problem solving. Before applying the flowcharting procedures to mathematical problems, students are first introduced to familiar non-mathematical problems such as sharpening a pencil or eating peanuts. Section…

The development of paired associate learning and formal thinking during adolescence was investigated with 78 sixth and tenth grade students. The hypothesis predicting paired associate learning to be positively related to divergent thinking, and negatively related to formal thinking was not supported. (Author/DEP)

The author argues that the "least number principle" (well-ordering for positive integers) is more intuitively acceptable to high school students than mathematical induction which can be derived from it. (SD)

In an experimental sequence for students about to complete high school, mathematical fallacies, the Fibonacci series, and deeper treatments of school mathematics were studied. (SD)

An integration of "systems" and "synectic" approaches and an unconventional use of role-playing are salient features of the problem solving workshop, looking for fresh approaches to the improvement of undergraduate education. (JH)

Describes two exercises which demonstrate to students the mechanics involved in arriving at logical conclusions. (BR)

Examines the effects of principle of inference, relatedness of content, and mode of test presentation on the development of the conditional reasoning abilities of primary-grade children. (Author/SDH)

This study examines the ability of 20 5- and 6-year-old children to determine whether an inference could reliably be made or whether a problem was undecidable. Children were given a random series of 8 decidable and 16 undecidable problems in which they had to determine in which of 2 houses a target character could be found. There were two…

In their efforts to understand the grammar of English as a second language, students often confuse the two roles that grammatical elements play: form and function. A classroom technique for helping students distinguish between the two is to create playful analogies for specific structures, in which students must use reasoning to determine the form…

In an experiment using a conditional logic task, subjects were given a set of cards defining a particular conditional relationship. The subjects were required to determine the rule and predict the outcomes of the rule. Rule structure was varied by providing subjects with either a suggested rule, a partial rule, or no rule for each set of cards.…

Scholars have long been interested in the relation between rhetoric and dialectic. Recent theorists suggest that one way of viewing argument is through the perspective of argument-as-procedure, in which rules such as those attendant to the conduct of dialectic, debate, or discussion come under the purview of argumentation. This paper is a critical…

This paper contains an elementary and short proof for the case that the underlying distribution function F is discrete, and then extends the result to the general F. In other proofs underlying iid sequences of random variables with continuous distributions are considered to be the "ideal" case. In this paper discretization of the underlying iid…

The purpose of this study was to determine whether relationships occur among spatial skills, logical reasoning, and various genetic concepts. Twenty-one students enrolled in an undergraduate genetics course in a northern New Jersey institution completed a series of tests and tasks designed to measure flexibility of closure, visualization,…