The authors wondered if there was a way to support their reluctant Grades 4, 5, and 6 students in contributing their starting points and strategies and advancing their collective knowledge. They wanted to ensure that the students had the space to develop and take ownership of the strategies they produced through a visual representation of ideas…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…

Traditionally, the first mathematical task for primary grade students to master is addition. Mastering addition facts is truly a positive experience. Then one turns to subtraction. After mastering addition facts, many students think that subtraction facts are a whole new set of facts to learn that have nothing to do with addition facts. They do…

This article presents learning strategies to help high school students with learning disabilities succeed in technical classes. Strategies address time management, memorization, and learning to use charts and graphs. Figures offer an example of breaking a project into subtasks, a self-questioning strategy, the CAN DO learning strategy, and a…

This study assessed long-term effects of an early education intervention for specific learning disabilities. Children at risk for learning problems were observed in classrooms performing analyzed tasks in five content areas: perceptual-motor, auditory, visual, cognitive, and social-emotional. Small-group instruction was then directed to the 37…

Various counting tasks were presented to 24 congenitally, totally blind children, aged 3-13, to determine the behaviors employed to ensure accurate counting. Three dimensions of tactile strategies were found, including "scanning,""organizing," and "partitioning." A developmental progression in the ontogenesis of each…

Examines strategic differences between more and less competent novices in story-sorting, problem-solving tasks by comparing two Hong Kong primary school teachers, two competent and two less competent secondary students on problem-solving tasks. Indicates subjects used a wide variety of solution strategies. Suggests that success depended on how…