International large-scale assessments of student achievement such as International Association for the Evaluation of Educational Achievement's Trends in International Mathematics and Science Study (TIMSS) and Progress in International Reading Literacy Study and Organization for Economic Cooperation and Development's Program for International…

This paper describes instruments designed to use multimedia to study at scale the instructional decisions that mathematics teachers make as well as teachers' recognition of elements of the context of their work that might influence those decision. This methodological contribution shows how evidence of constructs like instructional norm and…

The push to ensure pre-service teachers are numerate, on face value, is appropriate. However, the way in which numeracy is described is of great importance as it will determine what is assessed and how it is assessed. The way numeracy is described will also impact on how teacher educators assist pre-service teachers to develop their numeracy. This…

Albrecht Dürer is well known as a Renaissance artist, but his 1525 work, the "Underweysung der Messung," or "Manual on Measurement," also contains a significant amount of mathematics. This article outlines four projects inspired by parts of this work, with additional material coming from Staigmüller's 1891 "Dürer als…

In this article Anne Roche describes some of the different types of story problems defined in the Cognitively Guided Instruction professional development program. Teachers will find the table reproduced on page 32 to be very helpful in designing word problems. Roche then gives some suggestions for improving the way division stories are used in the…

Computer-aided assessment (CAA) has been used at a university with one of the largest mathematics and engineering undergraduate cohorts in the UK for more than ten years. Lecturers teaching mathematics to first year students were asked about their current use of CAA in a questionnaire and in interviews. This article presents the issues that these…

Visual-spatial ability is important for mathematics learning but also for future STEM participation. Some studies report children with dyslexia have superior visual-spatial skills and other studies report a deficit. We sought to further explore the relationship between children formally identified as having dyslexia and visual-spatial ability.…

The PISA for Development brief series is a set of concise monthly education policy-oriented notes published by the OECD which are designed to describe a specific PISA for Development topic. In this brief, the role of PISA-D to assesses students' skills and knowledge in three cognitive domains--reading, mathematics and science--and collection of…

A design of principles for teacher professional learning was developed to improve the teaching of "Cultural Mathematics" in elementary schools in Papua New Guinea. The design's appropriateness for PNG elementary schools is the focus of the research implemented through week-long workshops using technology enhancement. Implementation has…

Values are the personal convictions which one finds important. Three different aspects which are associated with mathematics education differently are identified, namely, values through mathematics education, values of mathematics education, and values for mathematics. These are paired with Bishop's (1996) conceptions of general educational,…

"Reasoning and sense making should occur in every classroom every day," states "Focus in High School Mathematics: Reasoning and Sense Making" (NCTM 2009, p. 5). As this book suggests, reasoning can take many forms, including explorations and conjectures as well as explanations and justifications of student thinking. Sense making, on the other…

Calculus courses often present a large number of difficulties to undergraduate students of scientific studies, especially in engineering degrees. These difficulties are sometimes related to teaching and assessment strategies. In this paper, a teaching innovation experience is presented within the framework of the Universitat Oberta de Catalunya.…

Values are the personal convictions which one finds important. Three different aspects which are associated with mathematics education differently are identified, namely, values through mathematics education, values of mathematics education, and values for mathematics. These are paired with Bishop's (1996) conceptions of general educational,…

This paper describes the use of diagrams as self-explanatory tools. It considers the use of diagrams, in general, and more specifically, examines research that is currently being undertaken in the broad field of visualisation. The research participants referred to in this article were Advanced Certificate of Education students and the paper…

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…