Many current neurophysiological, psychophysical, and psychological approaches to vision rest on the idea that when we see, the brain produces an internal representation of the world. The activation of this internal representation is assumed to give rise to the experience of seeing. The problem with this kind of approach is that it leaves unexplained how the existence of such a detailed internal representation might produce visual consciousness. An alternative proposal is made here. We propose that seeing is a way of acting. It is a particular way of exploring the environment. Activity in internal representations does not generate the experience of seeing. The outside world serves as its own, external, representation. The experience of seeing occurs when the organism masters what we call the governing laws of sensorimotor contingency. The advantage of this approach is that it provides a natural and principled way of accounting for visual consciousness, and for the differences in the perceived quality of sensory experience in the different sensory modalities. Several lines of empirical evidence are brought forward in support of the theory, in particular: evidence from experiments in sensorimotor adaptation, visual \"filling in,\" visual stability despite eye movements, change blindness, sensory substitution, and color perception.

A sensorimotor account of vision and visual consciousness-Authors' Response-Acting out our sensory experience

Many current neurophysiological, psychophysical, and psychological approaches to vision rest on the idea that when we see, the brain produces an internal representation of the world. The activation of this internal representation is assumed to give rise to the experience of seeing. The problem with this kind of approach is that it leaves unexplained how the existence of such a detailed internal representation might produce visual consciousness. An alternative proposal is made here. We propose that seeing is a way of acting. It is a particular way of exploring the environment. Activity in internal representations does not generate the experience of seeing. The outside world serves as its own, external, representation. The experience of seeing occurs when the organism masters what we call the governing laws of sensorimotor contingency. The advantage of this approach is that it provides a natural and principled way of accounting for visual consciousness, and for the differences in the perceived quality of sensory experience in the different sensory modalities. Several lines of empirical evidence are brought forward in support of the theory, in particular: evidence from experiments in sensorimotor adaptation, visual “filling in,” visual stability despite eye movements, change blindness, sensory substitution, and color perception.

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A sensorimotor account of vision and visual consciousness

Religion is not an evolutionary adaptation per se, but a recurring cultural by-product of the complex evolutionary landscape that sets cognitive, emotional, and material conditions for ordinary human interactions. Religion exploits only ordinary cognitive processes to passionately display costly devotion to counterintuitive worlds governed by supernatural agents. The conceptual founda- tions of religion are intuitively given by task-specific panhuman cognitive domains, including folkmechanics, folkbiology, and folkpsy- chology. Core religious beliefs minimally violate ordinary notions about how the world is, with all of its inescapable problems, thus en- abling people to imagine minimally impossible supernatural worlds that solve existential problems, including death and deception. Here the focus is on folkpsychology and agency. A key feature of the supernatural agent concepts common to all religions is the triggering of an "Innate Releasing Mechanism," or "agency detector," whose proper (naturally selected) domain encompasses animate objects rele- vant to hominid survival - such as predators, protectors, and prey - but which actually extends to moving dots on computer screens, voices in wind, and faces on clouds. Folkpsychology also crucially involves metarepresentation, which makes deception possible and threatens any social order. However, these same metacognitive capacities provide the hope and promise of open-ended solutions through representations of counterfactual supernatural worlds that cannot be logically or empirically verified or falsified. Because religious be- liefs cannot be deductively or inductively validated, validation occurs only by ritually addressing the very emotions motivating religion. Cross-cultural experimental evidence encourages these claims.

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Religion's evolutionary landscape: Counterintuition, commitment, compassion, communion

Number sense development of 411 middle- and low-income kindergartners (mean age 5.8 years) was examined over 4 time points while controlling for gender, age, and reading skill. Although low-income children performed significantly worse than middle-income children at the end of kindergarten on all tasks, both groups progressed at about the same rate. An exception was story problems, on which the low-income group achieved at a slower rate; both income groups made comparable progress when the same problems were presented nonverbally with visual referents. Holding other predictors constant, there were small but reliable gender effects favoring boys on overall number sense performance as well as on nonverbal calculation. Using growth mixture modeling, 3 classes of growth trajectories in number sense emerged.

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Number Sense Growth in Kindergarten: A Longitudinal Investigation of Children at Risk for Mathematics Difficulties

Theoretical analyses of the development of numerical representations suggest that playing linear number board games should enhance young children's numerical knowledge. Consistent with this prediction, playing such a game for roughly 1 hr increased low-income preschoolers' (mean age = 5.4 years) proficiency on 4 diverse numerical tasks: numerical magnitude comparison, number line estimation, counting, and numeral identification. The gains remained 9 weeks later. Classmates who played an identical game, except for the squares varying in color rather than number, did not improve on any measure. Also as predicted, home experience playing number board games correlated positively with numerical knowledge. Thus, playing number board games with children from low-income backgrounds may increase their numerical knowledge at the outset of school.

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Promoting Broad and Stable Improvements in Low-Income Children's Numerical Knowledge Through Playing Number Board Games

Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention

Two experiments investigated whether infants would look longer at a rotating "drawbridge" that appeared to violate physical laws because they knew that it was causally impossible, as claimed by R. Baillargeon, E. S. Spelke, and S. Wasserman (1985) and R. Baillargeon (1987a). Using a habituation paradigm, they reported that infants looked longer at a display that appeared impossible (rotated 180 degrees while an obstructing box was behind it) than at one that appeared possible (rotated only 112 degrees, appearing to stop at the box). Experiment 1 eliminated habituation to 180 degree screen rotations. Still, infants looked longer at the 180 degree impossible rotations. Critically, however, infants also looked longer at possible 180 degree rotations in Experiment 2, in which no obstruction was present. Moreover, no difference in effect size was found between the 2 experiments. These findings indicate that infants' longer looking at 180 degree rotations is due to simple perceptual preference for more motion. They question R. Baillargeon's (1987a) claim that it is due to infants' representational reasoning about physically impossible object permanence events.

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The drawbridge phenomenon: representational reasoning or perceptual preference?

Three experiments (N = 68), using Wynn's procedure, tested 5-month-old infants' looking time reactions to correct and incorrect results of simple addition and subtraction transformations. The aim was to investigate both the robustness and the parameters of infants' arithmetic competence. Experiments 1 and 2 (N = 44) were replications of Wynn's first two experiments in which infants were shown addition (1 + 1 = 1 or 2) and subtraction (2 - 1 = 1 or 2) requiring imprecise calculation. Experiment 3 (N = 24) was a subtraction counterpart (3 - 1 = 1 or 2) to Wynn's third experiment requiring precise calculation of addition (1 + 1 = 2 or 3). Unlike Wynn, we found no systematic evidence of either imprecise or precise adding and subtracting in young infants. Our results, together with the mix of both positive and negative findings from other studies of infant arithmetic, suggest that infants' reactions to displays of adding and subtracting are variable and, therefore, that infants' numerical competencies are not robust. This conclusion is consistent with previous findings indicating that simple adding and subtracting develops gradually and continuously throughout infancy and early childhood.

Can young infants add and subtract

This study examined home and classroom support for early mathematical development. Teachers and parents of preschool children completed questionnaires evaluating young children's readiness for school mathematics. Teachers were selected from licensed preschool programs and Head Start programs. Findings indicated that a minority of teachers and parents did not believe that young children possessed types of mathematical knowledge which research has shown to be in their developmental range; that parents attributed more mathematical knowledge to pre-kindergarten children than their teachers did; and that a minority of teachers believed that children possessed math knowledge outside their developmental range. The surveys also revealed the extent of math activities provided to children in the home and at school, teacher's knowledge of curriculum, and the need for a comprehensive preschool math curriculum. Based on the findings, a pre-kindergarten math curriculum was developed, organized into topical units, each with a set of informal math activities accompanied by concrete materials, and including home and school components. Instructional approaches and professional development activities were included in the curriculum.(JPB) ******************************************************************************** * Reproductions supplied by EDRS are the best that can be made * * from the original document. * ******************************************************************************** U.S. DEPARTMENT OF EDUCATION Office of Educational Research and Improvement EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) \f.) This document has been reproduced as 0\ received from the person or organization originating it. 710 Minor changes have been made to improve reproduction quality. Points of view or opinions stated in this document do not necessarily represent official OERI position or policy. Supporting Pre-kindergarten Children's Readiness for School Mathematics Alice Klein, Prentice Starkey, and Ann Wake ley University of California, Berkeley PERMISSION TO REPRODUCE AND DISSEMINATE THIS MATERIAL HAS BEEN GRANTED BY TO THE EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) 1 Poster presented at NIECDE Project Directors' meeting, Washington, D.C., June 8-10, 1998. Preparation of this poster was supported by U.S. Department of Education grant R307F60024 to P.S. and A.K. The Berkeley Math Readiness project would not be possible without the involvement and dedication of graduate student researchers Jill Applegarth, Christina Bown, Irene Chang, Linda Charmaraman, Sally Kim, and Ann Wakeley and teacher-consultants Alma Ramirez and Barbara Scales.

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Supporting Pre-Kindergarten Children's Readiness for School Mathematics.

Findings on whether young infants look longer at incorrect addition and subtraction have been inconsistent or, as in our study, negative. We hypothesize that imprecise ordinal calculating with very small numbers of objects develops in late infancy and precise calculating in early childhood.

Ann Wakeley

Papers

Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention

The drawbridge phenomenon: representational reasoning or perceptual preference?

Can young infants add and subtract

Supporting Pre-Kindergarten Children's Readiness for School Mathematics.

Not Proved: Reply to Wynn