The ASE welcomed the removal of the Key Stage 3 tests for England. The change gives teachers in England greater flexibility when planning courses and promotes a wide range of curriculum opportunities for pupils aged between 11 and 14. It will increase children's engagement with science, by encouraging a wider variety of learning and assessment…

Self-efficacy beliefs in mathematics, as a dimension of the affective domain, are related with students' performance on solving tasks and mainly on overcoming cognitive obstacles. The present study investigated the interrelations of cognitive performance on geometry and young students' self-efficacy beliefs about using representations…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

One of the efforts to improve and enhance the performance and achievement in mathematics of learners is the incorporation of life-related contexts in mathematics teaching and assessments. These contexts are normally, with good reasons, decided upon by curriculum makers, textbook authors, teachers and constructors of examinations and tests.…

This article presents features of a qualitative research study concerning the teaching and learning of school algebra using a function-based approach in a grade 8 class, of 23 students, in 26 lessons, in a state school of Athens, in the school year 2003-2004. In this article, we are interested in the inequality concept and our aim is to…

Students have difficulty learning fractions, and problems in understanding fractions persist into adulthood, with moderate to severe consequences for everyday and occupational decision-making. Remediation of student misconceptions is hampered by deficiencies in teachers' knowledge of the discipline and pedagogical content knowledge. We theorized…

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…

Heuristic literacy--an individual's capacity to use heuristic vocabulary in discourse and to apply the selected heuristics to solution of routine and non-routine mathematical tasks--was indirectly promoted in a controlled five-month classroom experiment with Israeli 8th grade students (N = 92). The experiment achieved a moderate mean effect size,…