Science classes are full of abstract or challenging concepts that are easier to understand if an analogy is used to illustrate the points. Effective analogies motivate students, clarify students' thinking, help students overcome misconceptions, and give students ways to visualize abstract concepts. When they are used appropriately, analogies can…

In this paper we report on a research aimed to identify and characterize secondary school students' reasoning and proof abilities when working with 3-dimensional geometric solids. We analyze students' answers to two problems asking them to prove certain properties of prisms. As results of this analysis, we get, on the one side, a characterization…

This book shows students how to increase their power to analyze problems and comprehend what they read. First it outlines and illustrates methods that good problem solvers use in attacking complex ideas, then it provides practice in applying these methods to a variety of comprehension and reasoning questions. The "Whimbey Method" of teaching…

The 16 units of this book are designed as textbook supplements to encourage students to think mathematically and as mathematicians. Each unit begins with an orientation session which raises general concerns that always occur within mathematical exploration. This is followed by a short, original text in which a mathematician creates a particular…

This booklet is part of the "Getting to Grips with..." series, which is intended for the general reader who wants to understand important trends in vocational education and training. It is designed to provide the reader with an understanding of the concept of key technologies, to describe the potential importance that this way of…

Challenges the readers comprehension of mathematical induction by presenting four examples of arguments that misrepresent the concept. Discusses the reasons why the arguments lead to false conclusions. (MDH)

The purpose of this booklet is to explain examination registration procedures and to introduce the Psychometric Entrance Examination so that students will know what to expect, what types of questions they will be asked, and how they will be expected to answer. The aim of the examination is to evaluate a variety of cognitive abilities: verbal,…