We measure the effect of a single test practice on 15-year-old students' ability to solve mathematics problems using large, representative samples of the schooled population in 32 countries. We exploit three unique features of the 2012 administration of the Programme for International Student Assessment (PISA), a large-scale, low-stakes…

Based on cognitive load theory, this paper reports on two experiments investigating the variability effect that occurs when learners' exposure to highly variable tasks results in superior test performance. It was hypothesised that the effect was more likely to occur using high rather than low levels of guidance and testing more knowledgeable than…

Mathematical learning difficulty (MLD) is prevalent in the development of mathematical abilities. Previous interventions for children with MLD have focused on number sense or basic mathematical skills. This study investigated whether mathematical performance of fifth grade children with MLD could be improved by developing knowledge structures by…

Students who struggle with learning mathematics often have difficulties with geometry problem solving, which requires strong visual imagery skills. These difficulties have been correlated with deficiencies in visual working memory. Cognitive psychology has shown that chunking of visual items accommodates students' working memory deficits. This…

In this article, the author explores what Assessing Pupils' Progress (APP) is about. He contends that the predilection for testing is a catastrophe as far as the teaching and learning of mathematics is concerned; it is an outcome of the drive for collecting so-called "data" on pupils. What those people, who should know better, either choose to…

We report on the contents and results for 360 students of a mathematics assessment administered at the start of the second-semester introductory chemistry course required for science and engineering majors at the University of Minnesota. This calculator-free, 20-question, 30-minute, multiple-choice, diagnostic quiz includes questions selected…

Results are reported from a study of the problem-solving abilities of Swedish children aged 12-13. Illustrative problems and conclusions are given to describe a method for defining and testing problem solving. (MNS)

Postsecondary level remediation has recently received a great deal of attention with the public questioning the efficacy of spending money on remedial classes, and scholars questioning whether such courses are effective in helping students graduate. The California State University (CSU) system has responded to the challenge of remediation by…

In most mathematics textbooks, each set of practice problems is comprised almost entirely of problems corresponding to the immediately previous lesson. By contrast, in a small number of textbooks, the practice problems are systematically shuffled so that each practice set includes a variety of problems drawn from many previous lessons. The…

Parents are concerned about their children's math learning. Teachers are concerned about math teaching. When parents see what children are bringing home under the new curriculum, it is clear that their children are not working on the same mathematics that parents remember from the time when they were in school. But, the problem goes beyond grades…

This publication provides a comprehensive interpretation of the second mathematics assessment completed during the 1977-78 school year by the National Assessment of Educational Progress (NAEP). The NAEP results suggest strong implications for the mathematics curriculum of the 1980's that mathematics educators need to evaluate with care. The…

The hypothesis examined suggests that prequestions should be more facilitating than postquestions in directing students to the information necessary for a problem's solution. Fourteen problems were designed for a criterion measure, and 52 students in community college intermediate algebra classes were the subjects. Results indicated question…

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (MNS)

This bulletin focuses on three developments related to evaluation. First, the plans and initial work of the Mathematical Sciences Education Board, formed in 1985, are described. The Board's goals, its view of the major challenges in mathematics education facing the nation's schools, and its plans are discussed. The development of a design for…

Results of 120 studies were combined by meta-analysis to determine effects on mathematics test performance of factors other than knowledge of content. Conditions that enhanced performance included testwiseness training, praise, word problem pictures, and frequent testing. Conditions depressing or not affecting performance were also noted. (MNS)