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Direct linkLaine, A. D. – Australian Senior Mathematics Journal, 2015
There are many geometrical approaches to the solution of the quadratic equation with real coefficients. In this article it is shown that the monic quadratic equation with complex coefficients can also be solved graphically, by the intersection of two hyperbolas; one hyperbola being derived from the real part of the quadratic equation and one from…
Descriptors: Geometric Concepts, Geometry, Equations (Mathematics), Problem Solving
Acosta, Daniel – Australian Senior Mathematics Journal, 2014
This article describes a project inspired by Liping Ma's "Exploring New Knowledge" in which future 7-12 grade mathematics teachers enrolled in a fall 2013 capstone course at a typical regional state university were assigned fictitious student conjectures. These future teachers (all current high school mathematics teachers) were…
Descriptors: Preservice Teachers, Student Teachers, Student Teaching, Secondary School Teachers
Valahas, Theodoros; Boukas, Andreas – Australian Senior Mathematics Journal, 2011
In Years 9 and 10 of secondary schooling students are typically introduced to quadratic expressions and functions and related modelling, algebra, and graphing. This includes work on the expansion and factorisation of quadratic expressions (typically with integer values of coefficients), graphing quadratic functions, finding the roots of quadratic…
Descriptors: Algebra, French, Mathematics Instruction, Mathematics Activities
Fletcher, Rodney – Australian Senior Mathematics Journal, 2008
This article presents a guided investigation into the spacial relationships between the centres of the squares in a Fibonacci tiling. It is essentially a lesson in number pattern, but includes work with surds, coordinate geometry, and some elementary use of complex numbers. The investigation could be presented to students in a number of ways…
Descriptors: Geometry, Mathematics Activities, Number Concepts, Geometric Concepts
Arnold, Stephen – Australian Senior Mathematics Journal, 2006
The possibilities for using graphic calculators to enhance the teaching and learning of mathematics are great. However, the boundaries explode when these powerful tools for learning are connected to data logging devices: a whole new approach to mathematics learning becomes possible. Using real world data to introduce the main functions (which are…
Descriptors: Mathematics Instruction, Mathematics Activities, Class Activities, Mathematics
Turner, Paul – Australian Senior Mathematics Journal, 2006
This article discusses Pythagoras' theorem, typically, it is introduce to students in the junior years of secondary school. Students consolidate their understanding of the theorem by using it for finding missing sides of triangles and for checking whether a given triangle has a right angle. But the topic often seems to dry up rapidly once these…
Descriptors: Secondary School Students, Geometric Concepts, Equations (Mathematics), Professional Personnel
