Despite many advances in technology, interaction and colocated collaboration, there is little knowledge of how children communicate around interactive tables. Key to the success of peer collaborations is the extent to which children communicate and the nature of the talk that contributes towards successful learning. Our work examines the communication patterns of children across various conditi...

Egge, in a talk at the AMS Fall Eastern Meeting, 2012, conjectured that permutations avoiding the set of patterns {2143, 3142, τ}, where τ ∈ {246135, 254613, 524361, 546132, 263514}, are enumerated by the large Schröder numbers (and thus {2143, 3142, τ} with τ as above is Wilfequivalent to the set of patterns {2413, 3142}). Burstein and Pantone [J. Combin. 6 (2015) no. 1-2, 55–67] proved the ca...

This research explores the ability of grade 2 students to engage in productive discussion about the state of their knowledge building using group-level feedback tools to support their metadiscourse. Two aspects of knowledge work were common to the comparison and experimental classes: BKnowledge Building talk^ (KB talk) involving teacher-student discussions and the use of Knowledge Forum, an onl...