Discusses the problems of conceptualization of the function limit in technological environments (principally graphing calculators today and symbolic calculators tomorrow) that are gradually being adopted in precalculus teaching. Explains how the instrumentation process and the conceptualization process are dependent on each other. Sets forth a…

Introduces the taxicab metric which is practical for many applications and helps students pursue interesting investigations while deepening their understanding of familiar topics. Uses the taxicab metric to explore the circle, ellipse, and hyperbola in the plane called TaxiLand. (ASK)

Suggests scales as alternative representations of numerical concepts and operations that can be used as arithmetic-mean machines, adding machines, multiplication machines, and geometric-mean machines. (ASK)

Helps students make sense of the three ratios--the ratio between corresponding lengths, the ratio between corresponding areas, and the ratio between corresponding volumes--and begin to construct proportional relationships among them. (ASK)

Takes the concept of using a geometrical or visual approach to teach algebraic concepts and extends it to connect with the section on binomial expansion by using three dimensional objects. (ASK)

The change in the Dutch secondary school mathematics curriculum known as Realistic Mathematics Education advocated by the National Council of Teachers of Mathematics (NCTM 2000) is discussed. There are very good chances in Netherlands to finish its mathematics revolution which would be a revolution in content, teaching style and student learning.

This article examines an innovative question taken from the 1988 Extension 1 (3 unit) Mathematics New South Wales Higher School Certificate examination. Similar questions have made regular subsequent appearances in trial examinations around NSW and many texts now devote whole chapters to the subtle and somewhat laborious process of establishing…

This article investigates a specific instance when the textbook answer for finding a root of a complex number differed with the answer given by the TI-83. After explaining the reason for the difference the article then expands the definition of the integral root of a complex number to an arbitrary complex power of a complex number.

Technology offers ample opportunities to bring reality into the classroom. Students and teachers nowadays have many tools to work in an authentic way with real data in mathematics and science education. However, much research and development are still needed to create a consistent learning trajectory out of the many exciting single activities.…

One frequently overlooked approach to improving academic success is the simple technique of listening to the students. Students are uniquely positioned to understand the nature of school problems, and their perceptions can be useful in forming solutions to problems of academic failure and school leaving. In this study, science-tracked secondary…

This paper describes a unique graduate-level course that prepares teachers of introductory statistics at the college and high school levels. The course was developed as part of a graduate degree program in statistics education. Although originally taught in a face-to-face setting, the class has been converted to an online course to be accessible…

Students' success in mathematics depends upon attitude towards mathematics. It also influences the participation rate of learners. This study was based on a survey of high school students about their attitudes towards mathematics. Students of both the gender constitute the population of this study. Sample of the study was 685 students (male = 379…

Constructivist pedagogies are generally not considered to support the teaching of mathematics for externally assessed examination-based courses. In large part, teachers have believed that such approaches are inefficient in covering a set syllabus. This article summarises the author's learning journey in Year 12 mathematics in 2004 where attempts…

The aim of the study is to develop a web-based mathematics teaching (WBMT) material and to evaluate the effectiveness of the WBMT material for 9th grade students learning the concept of mathematical function. Firstly, a WBMT material was designed and piloted. As a result of this pilot study the site was revised as a final form. The study was…

This article describes how spatial instruction with preservice teachers can be implemented in a middle-grades mathematics methods class. A "Reflect and Discuss" section is included for professional development study. (Contains 4 figures.)