Chunking, namely the grouping of sequence elements in clusters, is ubiquitous during sequence processing, but its impact on performance remains debated. Here, we found that participants who adopted a consistent chunking strategy during symbolic sequence learning showed a greater improvement of their performance and a larger decrease in cognitive…

Two non-verbal cognitive systems, an approximate number system (ANS) for extracting the numerosity of a set and a parallel individuation (PI) system for distinguishing between individual items, are hypothesized to be foundational to symbolic number and mathematics abilities. However, the exact role of each remains unclear and highly debated. Here…

Reports and surveys by the U.S. government and international organizations have repeatedly acknowledged the achievement problem in math in K-12 regardless of various efforts (e.g., by the U.S. Department of Education) to diminish it. To address the problem in math achievement in K-12, teachers, scholars, and the U.S. government have developed…

Although a large part the Physics Education Research (PER) literature investigates students' conceptual understanding in physics, these investigations focus on qualitative, conceptual reasoning. Even in modeling expert problem solving, attention to conceptual understanding means a focus on initial qualitative analysis of the problem; the equations…

Children with congenital deafblindness are a population of learners who may need intervention in order to develop symbolic understanding. They experience a combination of vision and hearing impairments that can affect how they make sense of the world, develop relationships, and understand symbols. In this article, the author reviewed a…

This article used two studies to investigate sign and symbol mediation in children aged 8-11 years. In role play, children exist at one at the same time in objective reality and their representation of reality. We cannot observe their mental representation directly, but the issue of whether signs or symbols mediate early role play is an important…

This research investigated the extent and nature of the informational support that enables young children to understand pictures as symbols. Two experiments were conducted using an object-retrieval task. The first experiment varied the amount (complete and no instructions) and kind of information (intended function of the symbol and…

Examines some of the issues that underlie the conceptual structure of the computational approach to cognition. Finds that this approach construes symbolization too narrowly, thereby blocking more adequate treatments of learning and acquisition of skills. Discusses the notion of symbol and symbolization and suggests an alternative approach to the…

Three studies were conducted to assess the abstraction processes involved in the development of the ability to associate numerals with sets of the appropriate size (numeration). Experiment 1 examined the sequence of the ability to discriminate relative numerical magnitude, numerical equivalence, Arabic numerals, absolute size of a set, and…

Examines Kolers and Smythe's 1984 paper on the computational approach to cognition. Considers: (1) five specific criticisms of the computational approach, (2) their analysis of the conceptual basis of symbolization, and (3) their proposed alternative approach. Summarizes their position and discusses its shortcomings. (SED)

Discusses Kolers and Smythe's 1984 paper on the computational approach to cognition. Suggests some factors that support the continued emphasis on the analytic approach of the psychological representation of knowledge, but also acknowledges that they have provided a useful set of distinctions and at least one vocabulary for describing them. (SED)

Results indicate that verbalization is the preferred symbolic process in young children. Portions of this paper were presented at the annual meeting of the American Educational Research Association, Los Angeles, California, 1969. (MH)

An approach to cognitive development which builds upon Piagetian assumptions and methods but which takes into account specific characteristics of diverse symbol systems and media is outlined. Such an approach may account for several phenomena left unexplained by Piaget, integrate diverse strands of research, and suggest promising lines of…

Adolescents defined as educable retarded who have demonstrated their ability to profit from experiences (highscorers and gainers) were hypothesized to perform more adequately than nongainers on the Stroop Color-Word interference task. The tasks were administered on three successive days to each subject in the following order: color, word,…