The aim of this study was to characterize and discuss ways of reasoning that prospective high school mathematics teachers develop and exhibit in a problem-solving scenario that involves the coordinated use of digital technologies. A conceptual framework that includes Virtual Learning Spaces (VLS) and Resources, Activities, Support and Evaluation…

"Use of mathematical representations to model and interpret physical phenomena and solve problems is one of the major teaching objectives in high school math curriculum" [National Council of Teachers of Mathematics (NCTM), "Principles and Standards for School Mathematics", NCTM, Reston, VA, 2000]. Commonly used pre-calculus textbooks provide a…

Many workshops and meetings with the US high school mathematics teachers revealed a lack of familiarity with the use of transformations in solving equations and problems related to the roots of polynomials. This note describes two transformational approaches to the derivation of the quadratic formula as well as transformational approaches to…

The author introduces the birthday problem in this article. This can amuse willing members of any birthday party. This problem can also be used as the motivational first day lecture in number theory for the gifted students in high schools or in community colleges or in undergraduate classes in colleges.

Develops a diagnostic framework that supports teaching and learning in situations that are suitable for students having difficulty in addressing basic problems. Uses data collected from 47 students in a senior mathematics course. Contains 63 references. (Author/ASK)

An instrument developed for measuring mathematical thinking was administered to high school students in Nebraska to determine the effects of class level and gender on mathematical thinking. Results showed significant differences in mathematical thinking due to class level in favor of higher class levels with the exception of grades 11 and 12. (PVD)