In this article, the authors show how students can form familiar geometric figures on the calculator keypad and generate numbers that are all divisible by a common number. Students are intrigued by the results and want to know "why it works". The activities can be presented and students given an extended amount of time to think about…

The one theorem just about every student remembers from school is the theorem about the side lengths of a right angled triangle which Euclid attributed to Pythagoras when writing Proposition 47 of "The Elements". Usually first met in middle school, the student will be continually exposed throughout their mathematical education to the…

Finding patterns, and making and justifying conjectures are considered the building blocks of mathematical reasoning and proof. Curriculum revisions in the United States and Australia place increased emphasis on problem solving and reasoning in the primary school curriculum. A number of curriculum resources for teachers are available but under…

The interrelationships of a variety of student aptitude and achievement measures are examined in a sample of 88 Australian undergraduate students, and the critial role of the data analyst in examining the relationships is discussed. (MSE)

This manual describes the theory behind the Learning Process Questionnaire (LPQ) used in Australia and defines what the subscale and scale scores mean. The LPQ is a 36-item self-report questionnaire that yields scores on three basic motives for learning and three learning strategies, and on the approaches to learning that are formed by these…

This manual describes the theory behind the Study Process Questionnaire (SPQ) and explains what the subscale and scale scores mean. The SPQ is a 42-item self-report questionnaire used in Australia to assess the extent to which a tertiary student at a college or university endorses different approaches to learning and the motives and strategies…

A common thread in contemporary research in student learning refers to the ways in which students go about learning. A theory of learning is presented that accentuates the interaction between the person and the situation. Research evidence implies a form of meta-cognition called meta-learning, the awareness of students of their own learning…

This handbook was designed to help Australian technical, adult, and further education (TAFE) teachers, especially those in vocational education areas, to assess and evaluate students. The guide contains seven chapters, each written so it can stand alone. At the beginning of each chapter is an explanation of what is to follow and a statement of the…