A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

The purpose of this study was to examine the differences between Finnish and Taiwanese textbooks for grades 7 to 9 on the topic of solving systems of linear equations (simultaneous equations). The specific textbooks examined were TK in Taiwan and FL in Finland. The content analysis method was used to examine (a) the teaching sequence, (b)…

This study compared one lesson across four U.S. "traditional" textbook series, two U.S. reform-based textbook series, and one Chinese mathematics textbook series in teaching the connection between multiplication and division. The results showed the differences across U.S. and Chinese lessons in both the teaching and the practice parts of…

The "Cognitive Tutor[R] Algebra I" curriculum, published by Carnegie Learning, is an approach that combines algebra textbooks with interactive software. The software is developed around an artificial intelligence model that identifies strengths and weaknesses in each individual student's mastery of mathematical concepts. It then…

This article describes a problem-centered curriculum for grades 9-12, using problem sets developed by a mathematics department and designed to take the place of textbooks. The students discover mathematical concepts in the context of the problems and activities in the materials.

THIS STUDY WAS AN EXPERIMENTAL COMPARISON OF TWO METHODS OF PROGRAMING TEACHING MACHINES. THE BASIC RESEARCH HYPOTHESIS WAS THAT SUBJECTS WHO USED TEACHING MACHINE PROGRAMS WITH EXPOSITORY PRESENTATIONS INTRODUCED BY PROBLEM-SETTING QUESTIONS WOULD LEARN AND RETAIN MORE INFORMATION AND WOULD LEARN MORE RAPIDLY THAN SUBJECTS WHO USED TEACHING…

Analyzed are textbook word problems that are typically used as applications of mathematics and shows some of the difficulties in making these problems realistic. A discussion and examples of sources of genuine mathematical applications in real life follows. (MN)

This volume, a part of the Elements of Mathematics Program (EM), contains 200 problems which require no special training beyond elementary mathematics, but often careful analysis and some ingenuity. The statements of some problems involve functional notation, but most are stated either in prose or prose accompanied by illustrations. Problems are…

Prepared as part of a project to help managers and supervisors develop practical, up-to-date managerial skills in a relatively short time, this instructional workbook provides information and exercises applicable to on-the-job situations encountered by public administrators. Unit I focuses on leadership, management theories, time and stress…