Building on previous research on the tendency in students of diverse ages to overrely on proportionality in different domains of mathematics (e.g., geometry, probability), this study shows that--when confronted with missing-value word problems--Flemish primary school pupils strongly tend to apply proportional solution strategies, also in cases…

The various difficulties and cognitive obstacles that students face when they are introduced to algebra are well documented and described in the relevant bibliography. If it is possible, in order to avoid these difficulties, we have adopted the functional approach widening the meaning of algebraic thinking. In this paper, which is part of wider…

In this paper we report on some patterns of reasoning, which emerged during an activity of proving a mathematical statement performed by nine grade and university mathematics students. The statement in question involves drawing figures, working in arithmetic and in algebra. As for secondary students we detected fluency, flexibility and ability of…

When pre-referral interventions fall short of resolving a student's learning difficulties, a comprehensive psycho educational evaluation may be necessary. This user-friendly book provides school-based practitioners with a clear framework for assessment and evidence-based intervention planning under the revised IDEA guidelines. A step-by-step flow…

Reflection involves active, persistent, and careful consideration of any belief or practice. It promotes understanding of underlying beliefs and application of new knowledge to new situations. Problem-Based Learning (PBL) provides the instructional mechanisms for prompting learner reflective thinking. This study examines the following: factors…

This paper proposes an approach to diagnosing learning disabilities that measures the intrinsic processing or capacity weaknesses that are presumed to underlie academic performance problems. This approach is contrasted with the "diagnosis by exclusion" method currently used. The paper discusses: (1) a definition of intrinsic processes with…

This book uses an analogy of "The Wizard of Oz" to offer information about cognitive research, sharing simple tactics for implementing these ideas in the classroom. The book discusses expert findings about brain growth, structure, and functions to help teachers and administrators foster a love of learning in all students. Key features…

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

This research brief examines the potential of technology to further the goals of restructuring U.S. schools. Strategies are presented for restructuring schools with technology. Although restructuring means different things to different people, the restructuring movement has generally focused on reorganizing school processes, taking a…

This book brings a philosophical perspective to the topic of children's thinking. It attempts to answer the questions of what it is to think and understand, and how children do so. The book provides an introduction to the philosophy of education as it relates to children's understanding, and is careful not to assume any previous philosophical…

This paper further develops an instructional method called here "process-object linking and embedding". The idea is to link the familiar mathematical processes to objects in a familiar situation, then re-embed the new link through mathematical symbols into their mathematical construction. It makes use of children's extra-mathematical,…

The Cognitive Approaches to School Leadership (CASL) Project builds on cognitive-science theories of how people think about problems, with special reference to related studies of administrative practice in general and educational administration in particular. This paper is the second of two papers that reports findings from clinical studies of…

This document consists of the two issues of the journal "Visual Arts in Research" published in 1994. This journal focuses on the theory and practice of visual arts education from educational, historical, philosophical, and psychological perspectives. Number 1 of this volume includes the following contributions: (1) "Zooming in on the Qualitative…

A new standard setting approach is introduced, called the cognitive components approach. Like the Angoff method, the cognitive components method generates minimum pass levels (MPLs) for each item. In both approaches, the item MPLs are summed for each judge, then averaged across judges to yield the standard. In the cognitive components approach,…

This paper argues for the "nurture" side of the "nature versus nurture" debate of the nature of intelligence. It argues for the theory of multiple intelligences in relation to sociocultural and cognitive perspectives of second language learning. A brief historical overview of intelligence is presented, and classroom practices that lead to…