The Evolution of Mathematical Reasoning: Everyday versus Idealized Understandings

By A. Schliemann, David W. Carraher. 2002

73 citations recorded by the source corpus.

Subfields: Education, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/527c9075e9c7b1ce199fc74386d1d330001a0cce

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Citations in the corpus

Does Early-Life Exposure to Stress Shape or Impair Cognition? (2013, unknown): “For instance, young Brazilian street vendors that are unable to solve complex arithmetic problems in school-like settings solve these same problems, quickly and accurately, while selling and buying goods on the market (Schliemann & Carraher, 2002).”
Concreteness Fading in Mathematics and Science Instruction: a Systematic Review (2014, background): “First, they provide a practical context that can activate real-world knowledge during learning (Schliemann and Carraher 2002).”
Arithmetic and Algebra in Early Mathematics Education (2006, unknown): “…aimed at bringing out the algebraic haracter of arithmetic (see Brizuela & Schliemann, 2004; Carraher, Brizuela, & Earnest, 2001; Carraher, Schliemann, & Schwartz, in press; Schliemann & Carraher, 2002; Schliemann, Carraher, Brizuela, Earnest, et al., 2003; Schliemann, Goodrow, et al., 2001).”
Should you show me the money? Concrete objects both hurt and help performance on mathematics problems (2009, background): “…closely at how situations can be arranged to encourage students to draw on their real-world knowledge when solving mathematics problems in school (De Bock, Verschaffel, Janssens, Van Dooren, & Claes, 2003; Reusser & Stebler, 1997; Schliemann & Carraher, 2002; Taylor, 2006; Yoshida et al., 1997).”
Early algebra and mathematical generalization (2008, background): “One has to be aware, however, that while contextualized problems and focus on quantities help in providing meaning for mathematical relations and structures, algebraic knowledge cannot be fully grounded in thinking about quantities (see Carraher & Schliemann, 2002a; Schliemann & Carraher, 2002).”