The distinction between procedural and conceptual learning has long been a topic of discussion in mathematics education and the idea of compression into thinkable concepts that enable the individual make links between them (Tall, 2007). In addition to, the compression to thinkable concept was to be thinking mechanism arising naturally and…

Investigated the effects of model status and various symbolic modeling procedures on brainstorming behavior in female undergraduate education majors (N=136). Results indicated that more solutions were produced by the experimental and higher-status model groups than by the control and peer model groups. (LLL)

Discusses implications for emergent literacy of a study of children two to three years old that examined how age and differing mnemonic cues are related to problem-solving strategies. The study found a transitional stage between older children's symbolic problem solving and younger children's reliance on trial and error. Suggests ways to…

Discusses development of symbolic thinking in toddlers as a step in language acquisition and skill development. Examines means of encouraging this symbolic problem solving, such as setting the stage for problems, helping children plan problem-solving strategies, and encouraging children in self-evaluating their skills. Examines development of…

Examined whether toddlers would use information presented through video to solve a retrieval problem. Found that 2.5-year-olds were very successful at finding a hidden toy based on viewing a televised hiding event, but 2-year-olds were not. Substantially better performance was achieved by other 2-year-olds who either watched or believed they were…

Reviews approaches to machine learning (development of techniques to automate acquisition of new information, skills, and ways of organizing existing information) in symbolic domains. Four categorical tasks addressed in machine learning literature are examined: learning from examples, learning search heuristics, learning by observation, and…

A review of research on children's symbolic play discusses ways for teachers to (1) defend the inclusion of play in the curriculum; (2) understand and respect differences in the ways children play; and (3) facilitate play in the classroom. Discusses the complexity of play and the controversy about play as part of the curriculum. (GLR)

This longitudinal study investigated the ways in which two groups of eight students used spreadsheets to represent and solve algebra problems and related this to their previous arithmetical experiences and evolving use of symbolic language. The spreadsheet environment supported students to move from specific to general thinking. Includes story…