Using Repeating Patterns to Explore Functional Thinking

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Pattern Understanding: Relationships With Arithmetic and Reading Development (2017, background): “However, pattern abstraction tasks require children to go beyond the surface features of the pattern to identify the underlying structure (8, 12) and depend on more complex forms of mental representation, abstraction and manipulation.”
The Influence of Relational Knowledge and Executive Function on Preschoolers’ Repeating Pattern Knowledge (2016, background): “This finding supports the notion that abstracting patterns and identifying the pattern unit are tasks that tap a deeper, more fundamental understanding of the pattern structure than pattern duplication or pattern extension (Economopoulos, 1998; Threlfall, 1999; Warren & Cooper, 2006).”
Emerging Understanding of Patterning in 4-Year-Olds (2013, unknown): “For example, children might be asked to say or to circle the part of the pattern that is repeating (e.g., ask the child to place a piece of string around the repeating part of the pattern; Papic et al., 2011; Warren & Cooper, 2006).”