Two decades ago, in an award-winning paper, Dan Kennedy (1995) likened learning mathematics to climbing a tree, for which there was only one way to climb: up a large and solid trunk. In the limited time that is available, many students give up the climb, impede others, fall off the trunk, or fail to climb the tree sufficiently well. In the case of…

Logarithms continue to play an important role in mathematics (most significantly in calculus), science, and engineering. It is therefore important for students to understand logarithms as real numbers as well as the characteristics of logarithmic functions. Exploration of challenges in understanding logarithms as real numbers and logarithmic…

Since the 1990s, computer algebra systems (CAS) have been available in Australia as hand-held devices designed for students with the expectation that they will be used in the mathematics classroom. The data discussed in this paper was collected as part of a pilot study that investigated first year university mathematics and statistics students'…

In 2009, four mathematics subjects were offered at the year 12 level in the Victorian Certificate of Education (VCE). The two subjects at the intermediate level--Mathematical Methods and Mathematical Methods CAS--run in parallel, that is, a student can be enrolled in only one or the other, the choice being made at the school level. The curricular…

Argues that the calculator is fallible as a repository of mathematical knowledge. Suggests that the calculator should be considered not only a labor-saving device but a learning device. Provides examples of the use of calculators as a learning device. Contains 16 references. (ASK)

Demonstrates the capabilities of graphics calculators in assisting with a simple mathematical investigation. Subjects covered include Direct Calculation, Tables, Graphing Particular Cases, Logarithms, Parametric Solutions, and Three-Dimensional Plots and Contours. The question posed for investigation with the calculator is, for what pairs of…

Explores and illustrates the range of ways in which the design of mathematics examination tasks can be influenced by graphics calculators from the perspective of the people designing the exams. Also discusses principles for awarding partial credit to student responses. (Author/PVD)

Discusses the implications for teaching of the decision to permit use of graphics calculators in some Victorian Certificate of Education examinations. Also explores the impact of this decision on assessment in mathematics, argues that some amendments should be made to the policy, and looks ahead to the near future when students will have ready…

Describes four 50-minute lessons in which complex numbers are introduced to year-12 calculus students using hand-held calculators and laptop computers. (ASK)

In this paper we present findings from two studies focusing on computer algebra system (CAS) calculators. In Victoria, Australia, it is currently mandatory for students to use graphics calculators in some grade 12 mathematics examinations. Since 2001, a pilot study has been conducted involving Victorian Certificate of Education (VCE) students…

Considers the use of technology, particularly programmable or graphics calculators and computer software, in the transition years from secondary to higher education. Discusses use of software systems like Mathematica in the extended investigative, problem solving, and modeling Common Assessment Tasks of the Victorian Certificate of Education.…