Discusses the use of a dynamic geometry software package to improve teaching of graph theory in basic graph sketching and in isomorphic, bipartite, and planar graphs. (JRH)

Teachers' negative impressions of college mathematics correlate with negative feelings about teaching mathematics. Includes an inventory of 20 questions to determine whether teachers perceive flexibility as a factor that can facilitate the effective teaching of mathematics. (MLF)

Identifies some trends in geometry teaching and illustrates them with reference to some of the more common software packages and their application and possible implications for junior high school geometry teaching and learning. (Contains 23 references.) (ASK)

Many students view mathematics as a collection of theorems and facts that were discovered by intelligent mathematicians and all they have left to do is to study them carefully. Some believe it is important to help students change this view (Lavy & Shriki, 2003). One possible way is to enable students to modify the attributes of a given situation,…

Todd Lee and colleagues share some of the common technology "pranks" and peculiarities from the three most common technology tools used in our classrooms: Microsoft Excel, graphing calculators, and The Geometer's Sketchpad. The "Surfing Note" includes a link to a collection of funny math cartoons from the Carolina Biological Supply Company.

Graphic tips for using the Geometer's Sketchpad (GSP) are described. The methods to import an image into GSP, define a coordinate system, plot points and curve fit the function using a graphical calculator are demonstrated where the graphic features of GSP allow teachers to expand the use of the technology application beyond the classroom.

Jean Louis Nicolet is a Swiss teacher of mathematics who found his subject so fascinating that he was puzzled as to why so many pupils could not share this enjoyment in their studies. He came to a conclusion which is now supported by the results of psychological research into the learning process: he suggested that the mind does not spontaneously…

Because of the pressure to increase test scores in reading and mathematics, content areas such as social studies are being eliminated from many elementary schools' curricula. It is critical that teachers find ways to integrate social studies into reading and mathematics. Social studies and mathematics may not immediately come to mind when…

The idea of "interpretative flexibility" underpins new approaches to studying technological artefacts and curricular resources in use. This paper opens by reviewing, in this light, the evolving design of dynamic geometry, its pioneering use within classroom projects, and early sketches of its mainstream use in ordinary classrooms. After…

"Transition Mathematics" aims to increase 7th- through 12th-grade students' skills in applied arithmetic, pre-algebra, and pre-geometry. This one-year curriculum also addresses general application to different wordings of problems, types of numbers, and contexts for problems and aims to promote mathematical reading skills. The curriculum…

Background: There is much support for using cooperative methods, since important instructional aspects, such as elaboration of new information, can easily be realized by methods like "jigsaw." However, the impact of providing students with additional help like a questioning training and potential limitations of the method concerning the (minimum)…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…

This book aims to present helpful, practical ideas and suggestions for mathematics teaching. Focus is on how teaching can be developed in a Rudolf Steiner (Waldorf) School and includes treatment of mathematical topics applicable to the 7-14 age group. Suggestions for curriculum and examples for children to work on are presented with a very wide…

This simple example demonstrates the physical significance of similarity solutions and the utility of dimensional and asymptotic analysis of partial differential equations. A procedure to determine the existence of similarity solutions is proposed and subsequently applied to transient constant-flux heat transfer. Short-time expressions follow from…

This textbook is an essay on evidence and mathematical reasoning as applied in geometry. This volume also contains: (1) A Letter to Erasmus Darwin, M. D. on a New Method of Treating Pulmonary Consumption, and Some Other Diseases Hitherto Found Incurable; and (2) Letters From Dr. Withering, of Birmingham, Dr. Ewart, of Bath, Dr. Thornton, of…