Early Algebra Is Not the Same as Algebra Early
By David W. Carraher, A. Schliemann, Judah L. Schwartz. 2017
96 citations recorded by the source corpus.
Subfields: Education, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/64f2c3eabd3289eeb9433cec106a8e72d3ad6d4f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Education
- Mi Yeon Lee
- Eric J. Knuth
- Ana C. Stephens
- Angela Murphy Gardiner
- M. Blanton
- Isil Isler
- Susanne Strachota
- Jee-Seon Kim
In Statistics and Probability
- Mi Yeon Lee
- Ana C. Stephens
- M. Blanton
- Angela Murphy Gardiner
- Eric J. Knuth
- Isil Isler
- Jee-Seon Kim
- Ashley Newman-Owens
Citations in the corpus
- The Development of Children's Algebraic Thinking: The Impact of a Comprehensive Early Algebra Intervention in Third Grade. (2015, methodology): “…children have difficulty accepting the ambiguity of unknown quantities and, instead, have a deeply held tendency to assign specific numerical values to unknown quantities even if it violates the problem situation (e.g., Carraher et al., 2008; Knuth, Alibali, McNeil, Weinberg, & Stephens, 2005).”
- A Learning Progression for Elementary Students’ Functional Thinking (2017, methodology): “Several studies suggest that when confronted with functional relationships, students initially tend to focus not on relationships between varying quantities but on recursive patterns in the dependent variable (Carraher et al., 2008; Lannin et al., 2006; Warren & Cooper, 2008).”
- Relationships between Students' Fractional Knowledge and Equation Writing. (2015, methodology): “…in many specific instances of relationships among quantities prior to representing generalizations with equations (e.g., Carraher et al., 2006; Carraher et al., 2008; Gravemeijer et al., 2000; Russell et al., 2011b).3 For example, Carraher, Schliemann, and Schwartz (2008) used a variable…”
- Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas (2015, methodology): “…research on upper elementary school children’s use of variable notation in this particular mathematical domain (e.g., Blanton et al., 2015; Brizuela & Schliemann, 2004; Carraher et al., 2008; Cooper & Warren, 2011; Moss, Beatty, Shillolo, & Barkin 2008; Moss & McNab, 2011; Schliemann et al., 2007).”