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Babies add up basic arithmetic skills.


Babies possess many obvious aptitudes -- drooling drooling

the discharge of saliva from the mouth. A normal feature in some breeds of dogs such as St. Bernard, Newfoundland and English bulldog, presumably because of their loose, pendulous lips.
, crying, soiling diapers, and evoking unbounded love from their parents. You can now append To add to the end of an existing structure.  a more surprising talent to that list, according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 a report in the Aug. 27 NATURE: Infants as young as 5 months of age can add and subtract small numbers of items.

"My working theory is that humans are innately endowed en·dow  
tr.v. en·dowed, en·dow·ing, en·dows
1. To provide with property, income, or a source of income.

2.
a.
 with a mental mechanism devoted to quantifying discrete entities, and this mechanism is already operating unconsciously in infants," asserts psychologist Karen Wynn of the University of Arizona (body, education) University of Arizona - The University was founded in 1885 as a Land Grant institution with a three-fold mission of teaching, research and public service.  in Tucson.

In a commentary accompanying Wynn's report, psychologist Peter E. Bryant of the University of Oxford in England calls her paper "a notable event in the history of developmental psychology developmental psychology

Branch of psychology concerned with changes in cognitive, motivational, psychophysiological, and social functioning that occur throughout the human life span.
" that presents "apparently cast-iron evidence" for rudimentary mathematical reasoning by infants.

Research exploring babies' perceptual and mental capacities has ballooned in the past 20 years. Studies indicate that babies see individual objects within an array of items, visually track moving objects, and know that an object exists when it moves behind a barrier. Investigators have also found that infants realize when a small number of drumbeats matches an equal number of objects shown on a slide. Babies also respond to changes in the number of a set of objects.

The perception of a small number of items in the absence of explicit counting, referred to as subitization, may stem from either numerical calculations or a general quantity judgment unrelated to mathematical reasoning.

Most studies of how infants think -- including Wynn's -- rely on a "lookin-time procedure": Babies tend to look markedly longer at new or unexpected stimuli than at recently presented or familiar stimuli.

Wynn first studied 32 baby boys and girls boys and girls

mercurialisannua.
, all around 5 months of age. A "1+1" group saw a rubber Mickey Mouse Mickey Mouse

Famous character of Walt Disney's animated cartoons. He was introduced in Steamboat Willie (1928), the first animated cartoon with sound. Mickey was created by Disney, who also provided his high-pitched voice, and was usually drawn by the studio's head animator,
 doll placed on a table and then obscured by a screen. Next an experimenter placed a second doll behind the screen, in full view of each infant. A "2-1" group saw two dolls placed on a table and then obscured by a screen, followed by an experimeter removing one doll. At that point, the screen was lowered for both groups.

Each infant viewed the addition or subtraction subtraction, fundamental operation of arithmetic; the inverse of addition. If a and b are real numbers (see number), then the number ab is that number (called the difference) which when added to b (the subtractor) equals  six times. In half the instances, an incorrect number of dolls appeared upon removal of the screen, corresponding to "1+1 = 1" or "2-1 = 2." The other trials presented the correct number of dolls. Before the trials began, Wynn also established the baseline amount of time each baby spent looking at one doll and at two dolls.

Both groups looked significantly longer at the incorrect number of dolls in test trials, and allotted al·lot  
tr.v. al·lot·ted, al·lot·ting, al·lots
1. To parcel out; distribute or apportion: allotting land to homesteaders; allot blame.

2.
 less, roughly equal time to looking at one or two dolls in baseline tests. The same pattern held for another 16 infants, also around 5 months old, tested in the same way, Wynn says.

Infants apparently expected the correct number of dolls to emerge from behind the screen and experienced surprise when they saw a different number, she argues. However, since the number of dolls in incorrect trials equaled the number shown before addition or subtraction, infants may only have noticed an unspecified numerical change with no expectations about the size or direction of the change.

A third study suggested that infants can indeed add up small numbers. Wynn exposed 16 infants between 4 and 5 months of age to the "1+1" trials, but the final number of dolls revealed behind the screen was either two or three. Both results differed from the initially presented number of dolls. Infants looked substantially longer at three dolls in test trials, but not in baseline tests with two and three dolls, Wynn says.

Several unpublished studies directed by Renee L. Baillargeon, a psychologist with the University of Illinois at Urbana-Champaign Early years: 1867-1880
The Morrill Act of 1862 granted each state in the United States a portion of land on which to establish a major public state university, one which could teach agriculture, mechanic arts, and military training, "without excluding other scientific
, find comparable calculation skills among 10-month-olds.

Both sets of results also suggest that subitization involves a counting process, supporting contentions that some animals, including birds and apes, calculate small quantities in a way linked to human counting (SN:5/23/87,p.334), Wynn adds.

Infants' limited short-term memory short-term memory
n.
Abbr. STM The phase of the memory process in which stimuli that have been recognized and registered are stored briefly.
 undoubtedly restricts their counting ability she notes. Wynn is now testing 5-month-olds on "3+1" and "3-1."

Wynn's third experiment convincingly demonstrates addition by infants, but she needs to conduct the same control for subtraction, Bryant asserts.

Infants probably do not understand that if, for instance, 3+2 = 5, then 5-3 = 2, he holds. But Wynn's work opens the way to investigating this assumption, Bryant adds.
COPYRIGHT 1992 Science Service, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 1992, Gale Group. All rights reserved. Gale Group is a Thomson Corporation Company.

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Title Annotation:experiments in mathematical reasoning
Author:Bower, Bruce
Publication:Science News
Date:Aug 29, 1992
Words:738
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