Skip to main content
. Author manuscript; available in PMC: 2014 Sep 1.
Published in final edited form as: Cognition. 2013 Jun 7;128(3):331–352. doi: 10.1016/j.cognition.2013.04.008

Table 5. ARITHMETIC TRANSFORMATIONS.

Visual tracking, Violation of Expectation Procedure

Study Age Transformation Tested Longer looking for Unexpected Number Transformation? Continuous Variables Controlled? Longer Looking for Unexpected Area Transformation?
Wynn (1992) 4-5 mos 1+1 Yes No Yes
Wynn (1992) 4-5 mos 2-1 Yes No Yes
Simon, Hespos, & Rochat (1995) 3-5 mos 1+1 Yes No Yes
Simon, Hespos, & Rochat (1995) 3-5 mos 2-1 Yes No Yes
Feigenson, Carey, & Spelke (2002), Experiements 6 & 7 6-7 mos 1+1 No Yes Yes
Feigenson, Carey, & Spelke (2002), Experiements 6 & 7 6-7 mos 2-1 No Yes Yes
Uller, Carey, Huntley-Fenner, & Klatt (1999) 8 and 10 mos 1+1 Yes No Yes
McCrink & Wynn (2004) 8-9 month olds 5+10 Yes Yes NA
McCrink & Wynn (2004) 8-9 month olds 10-5 Yes Yes NA
Gao, Levine, & Huttenlocher (2000) 6-7 mos ¼ + ½ = ¾ NA NA Yes

This table is list of relevant studies investigating infants’ capacities to respond to transformations of quantity. Stimuli used for most of the studies in this list were three-dimensional dolls. One study (Gao, Levine, & Huttenlocher, 2000) investigated continuous quantity transformation and used liquid in a container as the stimuli. The transformation tested is in Column 3. Column 4 indicates whether infants looked longer at the unexpected outcome to the transformation (for example, looked longer to a scenario of 1+1=1). For the one study investigating continuous quantity transformations, the relevant information for discrimination is in Column 6.