Background: Being able to think independently is a must for students to construct new knowledge in their minds. Self-explaining is a constructive learning strategy that encourages students to think for themselves and to make inferences that go beyond the given information. The Self-explain--Discuss--Re-explain (SDR) strategy adapted from…

Making sense of fractions is critical for building the mathematical competence of upper elementary students with and at-risk for a mathematics learning disability. The primary aim of this study was to investigate the effectiveness of teaching students with and at-risk for learning disabilities an intervention in which they learned to construct…

This study focuses on teacher learning of student thinking through grading homework, assessing and analyzing misconceptions. The data were collected from 10 teachers at fifth-eighth grade levels in the USA. The results show that assessing and analyzing misconceptions from grading homework is an important approach to acquiring knowledge of…

When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter level, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school be clarified. In this study we focus on the teaching and learning of "division with…

In the first issue of "Australian Educational Computing," in 1986, Cumming and Abbott reported a controlled comparison of top-down and bottom-up teaching strategies for Grade 5 and 6 students' use of a simple logic programming language. They found that both strategies were rated highly by students and teachers, and gave useful learning;…