Errant mathematical views are widely found among teachers, their students, and authors of applied mathematics texts. Suggests classroom experimentation, both to confirm the occurrence of these errors, and to apply the appropriate corrective teaching. (Author/ASK)

Shows how the joint use of a dynamic geometry program and a spreadsheet can provide a computational environment for exploring geometry on plane lattices that lessens the risk of developing the false empiricist view of mathematics often associated with the use of information technology. Contains 17 references. (Author/ASK)

Presents the University of Chicago School Mathematics Project's (UCMSP) Every Day Mathematics Program as one current reform-based elementary curriculum incorporating geometry throughout the K-6 curriculum, with an emphasis on hands-on and problem-solving activities. Measures the longitudinal effects of such an approach. (Author/CCM)

Describes the implementation of graphing calculators as teaching and learning aids in an intermediate linear algebra unit at the undergraduate level. Outlines the approach taken and discusses the problems that arose in relation to calculator use. (ASK)

Focuses on three activities using the TI-92 graphing calculator that examine the relationship between the intensity of a light source and its distance from a measurement point, properties of a sound wave, and the relationship between the time elapsed and the temperature of a cooling substance. (ASK)

Most people recognize that children should learn basic facts, because knowing them is useful both in school and in real life outside the classroom. Describes a strategies approach to basic addition and subtraction-facts instruction, and discusses assessment techniques and a rationale for the approach. Contains 29 references. (ASK)

Describes an activity in which students investigate the symmetry of factor sets of composite numbers using the TI-83 graphing calculator. This activity allows students to observe patterns, make predictions, and verify their accuracy. (ASK)

Presents a lesson that uses a motion detector in order for students to experience the interplay between motion and its graphical representation of the slope. Focuses on the change in the appearance of the graph with regard to changing speed. (ASK)

Shares two lessons in which students help teachers pose problems and discover the importance of posing problems properly. Presents a fifth-grade lesson in which students found a mistake in a proportion problem, and an eighth-grade lesson that discusses a geometry problem with insufficient information. (ASK)

The ability to undertake approximate calculations and to get a rough feel for data is an important skill which should not be overlooked. Presents some ideas for teaching and assessing approximate calculation. Contains 13 references. (Author/ASK)

Describes an activity in which students use geometry, measurement, estimation, and graphs to create mathematical jack-o'-lanterns using pumpkins carved in the shapes of polygons. (ASK)

Discusses how the misuse of symbols, specifically "=", can impede mathematical understanding. Concludes that teachers should help students learn the appropriate meanings for symbols. (ASK)

Presents an extension of a Japanese mathematics lesson involving the area of a triangle and introduces concepts from trigonometry. (ASK)

Illustrates how the Academy Awards can provide an excellent motivational tool in teaching probability and statistics and presents related activities. (ASK)

Discusses more effective uses of assessment techniques in mathematics classrooms. Presents some examples of powerful assessment techniques. (ASK)