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While it has been suggested that patterning activities support early algebra learning, it is widely acknowledged that the shift from perceiving patterns to understanding algebraic functions-and correspondingly, from reporting empirical patterns to providing explanations-is difficult. This paper reports on the collaborations of grade 4 students (n= 68) from three classrooms in diverse urban settings, connected through a knowledgebuilding environment (Knowledge Forum), when solving mathematical generalizing problems as part of an early algebra research project. The purpose of this study was to investigate the underlying principles of idea improvement and epistemic agency and the potential of knowledge building-as supported by Knowledge Forum-to support student work. Our analyses of student-generated collaborative workspaces revealed that students were able to find multiple rules for challenging problems and revise their own conjectures regarding those rules. Furthermore, the discourse was sustained over 8 weeks and students were able to find similarities across problem types without the support of teachers or researchers, suggesting that these grade-4 students had developed a disposition for evidence use and justification that eludes much older students.

Two studies examined children’s developing understanding of Aesop’s fables in relation to reading comprehension and to theory of mind. Study 1 included 172 children from Junior Kindergarten through Grade 6 in a school-wide examination of the relation between reading comprehension skills and understanding of Aesop’s fables told orally. Study 2 examined the relation between theory of mind and fables understanding among 186 Junior (4-year-old) and Senior (5-year-old) Kindergarten children. Study 1 results showed a developmental progression in fables understanding with children’s responses becoming increasingly decontextualized as they were able to extract the life lesson. After general vocabulary, passage comprehension predicted fables understanding. Study 2 results showed a relation between young children’s theory of mind development and their understanding of fables. After general vocabulary, second-order theory of mind predicted children’s fables understanding. Findings point to the importance of developing mental state awareness in children’s ability to judge characters’ intentions and to understand the deeper message embedded in fables.

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