Two intervention studies are described. Both were designed to study the effects of teaching children about the inverse relation between addition and subtraction. The interventions were successful with 8-year-old children in Study 1 and to a limited extent with 5-year-old children in Study 2. In Study 1 teaching children about inversion increased…

National tests, an influential assessment practice in many countries in East Asia, are often blamed as obstacles to good instructional practices. In this paper, the positive impact of assessment, national tests in particular, is discussed using the case of Singapore. The first part of the paper includes an analysis of items from the primary grade…

This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…

Our research project examined the effects of graphic calculators amongst ninth grade pupils from Arab society in the Negev area in Israel. The goal of this research was to discover and characterise the ways of thinking in this population about the concept of positivity and negativity of functions. To perform this investigation we compared two…

This paper makes an in-depth comparison of the PISA (OECD) and TIMSS (IEA) mathematics assessments conducted in 2003. First, a comparison of survey methodologies is presented, followed by an examination of the mathematics frameworks in the two studies. The methodologies and the frameworks in the two studies form the basis for providing…

In this article, we explore the game based on the following problem from the 1st Mathematical Olympiad of Central America and the Caribbean, held in Costa Rica in 1999: Player A turns on the calculator, presses a digit key and then presses the + key. A second later, player B presses a digit key in the same row or column of the last digit key…

Explores the myths surrounding the use of calculators in primary school. (Author/CCM)

Questions the effectiveness of graphics calculators in developing mathematical understanding. Investigates how a small group of students actually used graphics calculators in examination conditions. Finds that very little was made of the calculator when taking the exam with most students preferring to use a scientific calculator instead unless a…

Introducing any new initiative into teaching involves professional development and training. This paper investigates the reactions of three teachers to the introduction of graphics calculators into their department. Each teacher was followed through one academic year. They were interviewed formally on two occasions and also met informally with the…

This research examines students' use of graphics calculators and investigates the extent to which the students' use meets their teachers aim when using graphics calculators in the classroom. The teacher's use of her graphics calculator was analysed over a week using Key Record software. The teacher was questioned about her aims and expectations…

Computer algebra system (CAS) calculators are becoming increasingly common in schools and universities. While they offer quite sophisticated mathematical capability to teachers and students, it is not clear at present how they may best be employed. In particular their integration into students' learning and problem-solving remains an issue. In…

Discusses the appropriateness of lower secondary school students using graphics calculators instead of scientific calculators. (ASK)

In England and Wales, there has been a significant investment in technology to support teaching and learning in all subjects and school phases since the mid-1990s and a number of training models and approaches have been used, which include the development of online materials to support face-to-face sessions with expert teacher educator support.…

Algebraic calculators with symbolic manipulation capabilities are tools in some classrooms for 14-19 year olds, and their use in learning and teaching mathematics is likely to increase over time. Explains the reports of government-initiated working groups that consider the implications of their use in academic mathematics examinations for…

Assesses the status and use of the hand-held calculator in the current school curriculum. Comments on current proposals to restrict its use in the examination room at A-level. Concludes that at the stage of A-level mathematics, calculations that are not practicable without calculating aids cannot be avoided without indefensible contrivance.…