Symbolic objects are cognitive tools children must learn to master very early in life. A crucial factor in cognitive development is the instruction or informational support children receive in social contexts. While numerous studies have investigated the relation between instruction and development in various domains, like language or symbolic…

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…

Research on young children and their understanding and use of models indicates that they have particular difficulty understanding and using symbols that are in themselves interesting objects (have dual representation). Implications for the use of symbols for educational purposes are discussed, reviewing several commonly used symbolic objects. (SLD)