The aim of this study is to examine how algorithmatizing tasks engage mathematics students in algorithmic thinking. Structured, task-based interviews were conducted with eight Year 12 students as they completed a sequence of algorithmatizing tasks involving maximum flow problems. A deductive-inductive analytical process was used to first classify…

Systems thinking and abstract thinking are important skills for engineers in general and hardware and software engineers in particular. Systems thinking emphasises the interdependence of system components and their synergy. Abstract thinking permits one to focus on the significant details of the current perspective, while temporarily neglecting…

Measurement activities were designed in this study on the basis of authentic professional practices in which linear regression is used, to study considerations of variability by students in Grade 12 (aged 17-18). The question addressed in this article is: In what ways do secondary students consider variability within these measurement activities?…

This paper explores teachers' perceptions of their learners' proficiency in statistical literacy, reasoning and thinking. Research in Statistics education has prompted a move away from the teaching of statistical skills, towards focusing on the development of statistical literacy, reasoning and thinking. The recent South African Grade 10-12…

Drawing on her research into students' evidential reasoning, Elisabeth Pickles explores the possibilities for how such reasoning might be assessed. Existing exam mark schemes focus too heavily on generic processes involved in the analysis of source material and insufficiently on the historical validity of reasoning and conclusions produced.…

This document sets forth the design of a test of reading comprehension. The exam requires students to read passages of written English text--either literary or informational--and to answer questions about what they have read. In some cases, the questions deal with facts in the text or vocabulary. In other cases, a complete answer requires a clear…

There have been few discoveries in geology more important than "deep time"--the understanding that the universe has existed for countless millennia, such that man's existence is confined to the last milliseconds of the metaphorical geological clock. The influence of deep time is felt in a variety of sciences including geology, cosmology,…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…