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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

Thompson, Ian – Australian Senior Mathematics Journal, 2017

In this paper, an example is offered of a problem-solving task for senior secondary school students which was given in the context of a story. As the story unfolds, the task requires progressively more complex forms of linear programming to be applied. Coding in MATLAB is used throughout the task in such a way that it supports the increasing…

Descriptors: Foreign Countries, Programming, High School Seniors, Mathematics Education

Keane, Therese; Loch, Birgit – Australian Senior Mathematics Journal, 2017

While the flipped classroom has found much discussion recently, peer tutoring using screencast resources produced by students has not yet. In this paper, we describe student responses to the approach taken at a secondary Catholic school in Melbourne, Australia, where the mathematics teachers used the roll out of tablet PCs to all teachers and…

Descriptors: Peer Teaching, Tutoring, Student Developed Materials, Mathematical Concepts

Wares, Arsalan – Australian Senior Mathematics Journal, 2014

The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem-solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Manipulative Materials

Maltas, Dimitrios; Prescott, Anne – Australian Senior Mathematics Journal, 2014

Many people are discussing the issues surrounding mathematics at all levels of education. Politicians, parents, students, universities, education departments all have a view about what the problem is and all have ideas about what should happen. This article represents a synthesis of the issues and implications of one of the problems evident in…

Descriptors: Calculus, Mathematics, Mathematics Instruction, Foreign Countries

Marshman, Margaret; Dunn, Peter K.; McDougall, Robert; Wiegand, Aaron – Australian Senior Mathematics Journal, 2015

The new secondary Australian mathematics curricula have more statistics than the existing Queensland senior mathematics curricula. This paper discusses the attitudes to, and preparedness for, aspects of the implementation of the Australian Senior Mathematics Curricula within a group of Sunshine Coast (Queensland) mathematics educators. We found on…

Descriptors: Foreign Countries, Secondary School Mathematics, National Curriculum, Statistics

Foster, Colin – Australian Senior Mathematics Journal, 2013

Pythagoras' theorem in two and three dimensions appears in General Mathematics, Units 1-2, section 6 (Geometry and trigonometry: Shape and measurement) in the Victorian Certificate of Education Mathematics Study Design (Victorian Curriculum Assessment Authority, 2010). It also comes in Further Mathematics, Units 3-4 (Applications: Geometry and…

Descriptors: Mathematics Instruction, Geometric Concepts, Geometry, Trigonometry

Michaelson, Matthew T. – Australian Senior Mathematics Journal, 2008

Many students experience considerable difficulties when they learn and then attempt to construct and communicate proofs of conjectures using the principle of mathematical induction. Although research on the pedagogy of mathematical induction has gained only occasional attention since the 1970s, there has been an increasing interest in this field…

Descriptors: Logical Thinking, Mathematical Logic, Literature Reviews, Educational Research

Nillsen, Rodney – Australian Senior Mathematics Journal, 2017

In this paper, an investment problem is investigated in terms of elementary algebra, recurrence relations, functions, and calculus at high school level. The problem comes down to understanding the behaviour of a function associated with the problem and, in particular, to finding the zero of the function. A wider purpose is not only to formulate…

Descriptors: Comparative Analysis, Foreign Countries, Mathematics Instruction, Algebra

Dayal, Hem Chand – Australian Senior Mathematics Journal, 2013

In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Teachers, Teacher Attitudes

Michaelson, Matthew T. – Australian Senior Mathematics Journal, 2009

This article presents a mathematical solution to a motorway problem. The motorway problem is an excellent application in optimisation. As it integrates the concepts of trigonometric functions and differentiation, the motorway problem can be used quite effectively as the basis for an assessment tool in senior secondary mathematics subjects.…

Descriptors: Trigonometry, Calculus, Mathematical Concepts, Secondary School Mathematics

Merrotsy, Peter – Australian Senior Mathematics Journal, 2008

The concept of symmetry is fundamental to mathematics. Arguments and proofs based on symmetry are often aesthetically pleasing because they are subtle and succinct and non-standard. This article uses notions of symmetry to approach the solutions to a broad range of mathematical problems. It responds to Krutetskii's criteria for mathematical…

Descriptors: Logical Thinking, Mathematics Instruction, Cognitive Ability, Mathematical Logic

Padula, Janice – Australian Senior Mathematics Journal, 2006

Mathematical fiction has probably existed since ideas have been written down and certainly as early as 414 BC (Kasman, 2000). Mathematical fiction is a recently rediscovered and growing literature, as sales of the novels: "The Curious Incident of the Dog in the Night-time" (Haddon, 2003) and "The Da Vinci Code" (Brown, 2004) attest. Science…

Descriptors: Novels, Films, Fiction, Drama

Sokolowski, Andrzej – Australian Senior Mathematics Journal, 2013

This paper presents a study about using scientific simulations to enhance the process of mathematical modelling. The main component of the study is a lesson whose major objective is to have students mathematise a trajectory of a projected object and then apply the model to formulate other trajectories by using the properties of function…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Simulation

Chang, Mu-Ling – Australian Senior Mathematics Journal, 2009

A problem given in the Australian Mathematics Competition for the Westpac Awards was stated as follows: With how many zeros does 2008! end? In this article, the author solves this problem, and provides further discussion on the related problems. These problems form a good model that helps students develop a logical thinking process toward problem…

Descriptors: Problem Solving, Logical Thinking, Foreign Countries, Mathematics Instruction