Robust knowledge serves as a common instructional target in academic settings. Past research identifying characteristics of experts' knowledge across many domains can help clarify the features of robust knowledge as well as ways of assessing it. We review the expertise literature and identify three key features of robust knowledge (deep,…

Lorna Quinnell and Merrilyn Carter examine the use of symbols in teaching mathematics and outline the difficulties students experience in "reading symbols and abbreviations." We are sure teachers will appreciate the way the authors have examined the use of symbols and abbreviations in NAPLAN testing and organized them into five distinct…

Despite the accumulation of substantial cognitive science research relevant to education, there remains confusion and controversy in the application of research to educational practice. In support of a more systematic approach, we describe the Knowledge-Learning-Instruction (KLI) framework. KLI promotes the emergence of instructional principles of…

Basic brain function is not a mystery. Given that neuroscientists understand the brain's basic functioning processes, one wonders what their research suggests to teachers of developmental algebra. What if we knew how to teach so as to improve understanding of the algebra taught to developmental algebra students? What if we knew how the brain…

The order of problems presented to students is an important variable that affects learning effectiveness. Previous studies have shown that solving problems in a blocked order, in which all problems of one type are completed before the student is switched to the next problem type, results in less effective performance than does solving the problems…

In school, at least in the US, we were taught to multiply by hand according to a standard algorithm. Most people find that algorithm difficult to use, and many children fail to learn it. We propose a new way to make sense of this difficulty: to treat explicit computation as perceptually supported physical and mental action. Based on recent work in…

Children with mathematics difficulties suffer from working memory deficits. This study investigated the deficit profile of phonological storage and executive functions in working memory among children with mathematics difficulties. Based on multiple instruments and two assessment points, 68 children were screened out of 805 fifth graders. Of these…

In line with the cognitive theory of multimedia learning by Moreno and Mayer (2007), an interactive, multimodal learning environment was designed for the pretraining of science concepts in the joint area of physics, chemistry, biology, applied mathematics, and computer sciences. In the experimental set up, a pretest was embedded in order to…

Research and curriculum development projects have investigated ways to make teaching and learning basic facts easier. Reseach results and implications from four major projects are presented. Ten specific guidelines are then given and illustrated by examples from addition. Modifying instructional sequence and matching learning tasks with learning…

According to cognitive load theory, instruction needs to be designed in a manner that facilitates the acquisition of knowledge in long-term memory while reducing unnecessary demands on working memory. When technology is used to deliver instruction, the sequence in which students learn to use the technology and learn the relevant subject matter may…

The present study was an exploratory study of the content-specific knowledge structures of three teacher educators (two in math and one in science). Pathfinder, a method for eliciting associative memory networks, was used to describe the knowledge structures of the teacher educators. Pathfinder was also used to determine changes in knowledge…

The focus of this paper is on some of the difficulties students experience in learning from texts and in solving other types of academic problems, because of their failure to distinguish between skills needed for everyday thinking and those needed for academic thinking. The paper discusses the types of processing problems children experience when…