Elementary Grades Students' Capacity for Functional Thinking.

By M. Blanton, James J. Kaput. 2004

130 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/302e95835ea7990910c54453205b895a5a711774

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Citations in the corpus

Using Repeating Patterns to Explore Functional Thinking (2006, background): “This activity is commonly referred to as pattern finding in a single variation data set (Blanton & Kaput, 2004).”
The Growth of early mathematical patterning: an intervention study (2007, background): “Young children have been observed developing skills in argumentation (Dockett & Perry, 2001) and algebraic reasoning ( Blanton & Kaput, 2004 ).”
A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships. (2015, methodology): “For example, children in Kindergarten and Grade 1 can create function tables as a means to organize covarying data (Blanton & Kaput, 2004; Brizuela & Alvarado, 2010), and by Grade 2, they can begin to use this representation transparently as a tool for thinking about these data (Brizuela & Earnest,…”
Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking (2008, background): “The results confirm the conjecture of Blanton and Kaput (2004) that young students are capable of thinking functionally.”
A Learning Progression for Elementary Students’ Functional Thinking (2017, background): “Our work is based on promising research that shows children are capable of sophisticated functional thinking and that such thinking can develop earlier thanmight be expected (e.g., Blanton, Brizuela, et al., 2015; Blanton & Kaput, 2004; Brizuela & Alvarado, 2010).”
One Hundred Years of Elementary School Mathematics in the United States: A Content Analysis and Cognitive Assessment of Textbooks From 1900 to 2000 (2010, unknown): “…computation—and research on cognitive demand and mathematics education focusing on curricular and instructional ways that increase elementary school students’ ability to reason about mathematical operations and properties (e.g., Blanton & Kaput, 2000, 2003, 2004, 2005a, 2005b; NCTM, 2000).”
Young Children's Ability to Generalise the Pattern Rule for Growing Patterns. (2005, background): “However young children are believed to be capable of thinking functionally at an early age (Blanton & Kaput, 2004).”
Developing students’ functional thinking in algebra through different visualisations of a growing pattern’s structure (2016, background): “Blanton and Kaput (2004) conjectured that even very young students are capable of functional thinking. Hunter (2010) found that upper primary students benefited from “carefully designed tasks, specific pedagogical actions and extended discourse” that enabled them to develop their understanding of va”