The mathematics encountered when building a geodesic dome is analyzed and explained. (DT)

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include algebra and geometry. Lessons are organized around four…

Tessellation is included in many mathematics curricula as one way of developing spatial ideas. If students do not understand tessellation in the intended ways, however, the development of other spatial ideas, such as properties of shapes and symmetry, may be compromised. Van Hiele levels were used as a basis for analysing the descriptions of eight…

Space perception is necessary for work in branches of technology from the machine industry to civil, electrical, and material engineering. The spatial perception of students coming to technical universities is not highly developed. There are several reasons for this unfortunate situation: firstly, the lack of emphasis put on geometry and other…

This paper reports the results of student use of a TI-92 graphing calculator to solve algebra and analytic geometry problems in 9th grade Austrian classes. Students who had been trained in using the TI-92 were asked to compute x, given that a right-angled triangle had sides x, x+3, and x+6 in at least three ways, and to document their solution…

Steiner's Porism states that if you can draw a connected ring of circles in the annular region between two original circles, the ring will be successfully completed no matter where you start. This paper explores how the TI-92 graphing calculator can be used to demonstrate Steiner's Porism and illustrate the main points of its proof. Inversion in…

The impact of prior learning on new learning is highlighted by the case of Dean, a Year 8 student who developed his own method to find the sum of the interior angles of a polygon without knowing why his method worked. Enriched transcripts and visual displays of the cognitive, social (Dreyfus, Hershkowitz, & Schwarz, 2001) and affective elements…

This booklet presents the high school assessment program for geometry by listing Maryland's Core Learning Goals. The match of content indicators and the skills for successful elaborations in thinking, communication, and technology regarding geometry are discussed. (ASK)

This paper discusses learning outcomes resulting from three national curricular reform efforts in mathematics. Focus is placed on the College Board's Equity 2000 program which operates on the principle that all students are given the opportunity to demonstrate high levels of academic achievement in mathematics. Information is provided on the…

This teacher's guide is designed to accompany the PBS television program "NOVA." Six science activities correspond to: (1) "Lost at Sea: The Search for Longitude,, which researches and charts the shortest course to circumnavigate the globe; (2) "Chasing El Nino," which formulates a question and designs an experiment to…

This paper illustrates how to teach parallel perspective using Cabri software. Examples include how to move/present cubes, how to use symmetry to draw a star from triangles, how to modify tessellations, and how to present circles by Cabri software. (Author/KHR)

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

After appropriate research, 18 geometry lessons were created using a multicultural approach. The lessons were designed to replace portions of a middle grades geometry curriculum dependent upon standard textbooks, and were piloted in an independent New York City school. The study involved 46 students and lasted for six weeks. The lessons were…

Inuit children and children from an urban environment, inhabiting as they do differing spatial environments, contrasted with one another in terms of perception, representation, and the manifestation of geometric, topographic, and projective properties. The general hypothesis of this research is that the process of mathematical acculturation is…

This paper describes a classroom, instructor-led activity designed to show how graphic calculators can be used to explore coordinate geometry. The activity involves digitizing an image of a hand and transforming the image through geometrical transformations. Teaching notes and calculator instructions are included as are blackline masters. Also…