Varieties of numerical abilities
Tóm tắt
Từ khóa
Tài liệu tham khảo
Allik, 1991, Occupancy model of perceived numerosity, Perception and Psychophysics, 49, 303, 10.3758/BF03205986
Anderson, 1990, Troubled letters but not numbers: Domain specific cognitive impairments following focal damage in frontal cortex, Brain, 113, 749, 10.1093/brain/113.3.749
Antell, 1983, Perception of numerical invariance in neonates, Child Development, 54, 695, 10.2307/1130057
Ashcraft, 1982, The development of mental arithmetic: A chronometric approach, Developmental review, 2, 213, 10.1016/0273-2297(82)90012-0
Ashcraft, 1987, Children's knowledge of simple arithmetic: A developmental model and simulation, 302
Ashcraft, 1978, Cognitive arithmetics: Evidence for retrieval and decision processes in mental addition, Journal of Experimental Psychology: Human Learning and Memory, 4, 527, 10.1037/0278-7393.4.5.527
Ashcraft, 1981, Mental addition: A test of three verification models, Memory and Cognition, 9, 185, 10.3758/BF03202334
Assal, 1984, Intuition arithmétique chez un acalculique, Revue Neurologique, 140, 374
Atkinson, 1976, The magic number 4 ± 0: A new look at visual numerosity judgments, Perception, 5, 327, 10.1068/p050327
Atkinson, 1976, The dependence of the visual numerosity limit on orientation, colour, and grouping in the stimulus, Perception, 5, 335, 10.1068/p050335
Attneave, 1962, Perception and related areas, vol. 4
Averbach, 1963, The span of apprehension as a function of exposure duration, Journal of Verbal Learning and Verbal Behavior, 2, 60, 10.1016/S0022-5371(63)80068-7
Baird, 1975, Psychophysical study of numbers. I: Generation of numerical response, Psychological Research, 37, 281, 10.1007/BF00309723
Banks, 1981, Two subjective scales of number, Perception and Psychophysics, 29, 95, 10.3758/BF03207272
Banks, 1976, Semantic congruity effects in comparative judgments of magnitudes of digits, Journal of Experimental Psychology: Human Perception and Performance, 2, 435, 10.1037/0096-1523.2.3.435
Banks, 1974, The apparent magnitude of number scaled by random production, Journal of Experimental Psychology, 102, 353, 10.1037/h0035850
Barbizet, 1967, Persistances de possibilités de calculélémentaire au cours des aphasies massives, Revue Neurologique, 116, 170
Baroody, 1983, The development of procedural knowledge: An alternative explanation for chronometric trends of mental arithmetic, Developmental Review, 3, 225, 10.1016/0273-2297(83)90031-X
Baroody, 1984, A reexamination of mental arithmetic models and data: A reply to Ashcraft, Developmental Review, 4, 148, 10.1016/0273-2297(84)90004-2
Baroody, 1984, More precisely defining and measuring the order-irrelevance principle, Journal of Experimental Child Psychology, 38, 33, 10.1016/0022-0965(84)90017-1
Baroody, 1986, The relationship between initial meaningful and mechanical knowledge of arithmetics, 75
Benson, 1969, Verbal paraphasia as a source of calculation disturbances, Archives of Neurology, 21, 96, 10.1001/archneur.1969.00480130110011
Besner, 1979, Ideographic and alphabetic processing in skilled reading of English, Neuropsychologia, 17, 467, 10.1016/0028-3932(79)90053-8
Bevan, 1964, Assimilation and contrast in the estimation of number, Journal of Experimental Psychology, 67, 458, 10.1037/h0041141
Bijeljac-Babic, 1991, How do four-day-old infants categorize multisyllabic utterances?
Binet, 1981
Birnbaum, 1974, Using contextual effects to derive psychophysical laws, Perception and Psychophysics, 15, 89, 10.3758/BF03205834
Briars, 1984, A featural analysis of preschooler's counting knowledge, Developmental Psychology, 20, 607, 10.1037/0012-1649.20.4.607
Buckley, 1974, Comparison of digits and dot patterns, Journal of Experimental Psychology, 103, 1131, 10.1037/h0037361
Campbell, 1987, Network interference and mental multiplication, Journal of Experimental Psychology: Learning, Memory and Cognition, 13, 109, 10.1037/0278-7393.13.1.109
Campbell, 1988, An encoding-complex view of cognitive number processing: Comment on McCloskey, Sokol & Goodman, Journal of Experimental Psychology: General, 117, 204, 10.1037/0096-3445.117.2.204
Campbell, 1989, Time course of error priming in number-fact retrieval: Evidence for excitatory and inhibitory mechanisms, Journal of Experimental Psychology: Learning, Memory, and Cognition, 15, 920, 10.1037/0278-7393.15.5.920
Campbell, 1992, Integrated versus modular theories of number skills and acalculia, Brain and Cognition
Campbell, 1985, Mental multiplication skill: Structure, process, and acquisition, Canadian Journal of Psychology, 39, 338, 10.1037/h0080065
Caramazza, 1987, Dissociations of calculation processes, 221
Chi, 1975, Span and rate of apprehension in children and adults, Journal of Experimental Child Psychology, 19, 434, 10.1016/0022-0965(75)90072-7
Chomsky, 1980
Cohen, 1991, Neglect dyslexia for numbers? A case report, Cognitive Neuropsychology, 8, 39, 10.1080/02643299108253366
Cooper, 1984, Early number development: Discovering number space with addition and subtraction, 157
Cuneo, 1982, Children's judgments of numerical quantity: A new view of early quantification, Cognitive Psychology, 14, 13, 10.1016/0010-0285(82)90003-2
Dahmen, 1982, Disorders of calculation in aphasic patients: Spatial and verbal components, Neuropsychologia, 20, 145, 10.1016/0028-3932(82)90004-5
Dantzig, 1967
Davis, 1991, Infant's numerical discrimination between sets of sequentially presented figures
Davis, 1988, Numerical competence in animals: Definitional issues, current evidence and a new research agenda, Behavioral and Brain Sciences, 11, 561, 10.1017/S0140525X00053437
Dehaene, 1989, The psychophysics of numerical comparison: A reexamination of apparently incompatible data, Perception and Psychophysics, 45, 557, 10.3758/BF03208063
Dehaene, 1991, Two mental calculation systems: A case study of severe acalculia with preserved approximation, Neuropsychologia, 29, 1045, 10.1016/0028-3932(91)90076-K
Dehaene, 1991, The mental representation of parity and numerical magnitude
Dehaene, 1990, Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison, Journal of Experimental Psychology: Human Perception and Performance, 16, 626, 10.1037/0096-1523.16.3.626
Dehaene, 1992, Cross-linguistic regularities in the frequency of number words, Cognition, 43, 1, 10.1016/0010-0277(92)90030-L
Deloche, 1982, From one to 1: An analysis of a transcoding process by means of neuropsychological data, Cognition, 12, 119, 10.1016/0010-0277(82)90009-9
Deloche, 1982, From three to 3: A differential analysis of skills in transcoding quantities between patients with Broca's and Wernicke's aphasia, Brain, 105, 719, 10.1093/brain/105.4.719
Deloche, 1984, Semantic errors reconsidered in the procedural light of the stack concepts, Brain and Language, 21, 59, 10.1016/0093-934X(84)90036-1
Deloche, 1987, Numerical transcoding: A general production model, 137
Duncan, 1980, Isolating the effects of symbolic distance and semantic congruity in comparative judgments: an additive-factors analysis, Memory and Cognition, 8, 612, 10.3758/BF03213781
Folk, 1988, Subitizing: Direct apprehension or serial processing?, Perception and Psychophysics, 44, 313, 10.3758/BF03210412
Frege, 1950
Frith, 1972, The solitaire illusion: An illusion of numerosity, Perception and Psychophysics, 11, 409, 10.3758/BF03206279
Fuson, 1982, An analysis of the counting-on solution procedure in addition, 67
Fuson, 1988
Fuson, 1983, The acquisition of early number word meanings, 49
Fuson, 1985, Collection terms and preschoolers' use of the cardinality rule, Cognitive Psychology, 17, 315, 10.1016/0010-0285(85)90011-8
Gallistel, 1990
Gallistel, 1991, Subitizing: The preverbal counting mechanism
Geary, 1986, Cognitive addition and multiplication: evidence for a single memory network, Memory and Cognition, 14, 478, 10.3758/BF03202519
Gelman, 1978
Gelman, 1983, Preschooler's counting: Principles before skill, Cognition, 13, 343, 10.1016/0010-0277(83)90014-8
Gelman, 1986, The notion of principle: The case of counting, 29
Gelman, 1986, Young children's numerical competence, Cognitive Development, 1, 1, 10.1016/S0885-2014(86)80021-1
Gelman, 1975, Further investigations of the young child's conception of number, Child Development, 46, 167, 10.2307/1128845
Gibbon, 1981, Time left: Linear versus logarithmic subjective time, Journal of Experimental Psychology: Animal Behavior Processes, 7, 87, 10.1037/0097-7403.7.2.87
Ginsburg, 1976, Effect of item arrangement on perceived numerosity: Randomness vs. regularity, Perceptual and motor skills, 43, 663, 10.2466/pms.1976.43.2.663
Ginsburg, 1978, Perceived numerosity, item arrangement, and expectancy, American Journal of Psychology, 91, 267, 10.2307/1421536
Gonzalez, 1982, Mental manipulation of arithmetic symbols, Journal of Experimental Psychology: Learning, Memory, and Cognition, 8, 308, 10.1037/0278-7393.8.4.308
Gonzalez, 1987, Notational constraints on mental operations, 27
Graham, 1987, An associative retrieval model of arithmetic memory: How children learn to multiply, 123
Greeno, 1984, Conceptual competence and children's counting, Cognitive Psychology, 16, 94, 10.1016/0010-0285(84)90005-7
Groen, 1972, A chronometric analysis of simple addition, Psychological Review, 79, 329, 10.1037/h0032950
Guitel, 1975
Guttmann, 1937, Congenital arithmetic disability and acalculia (Henschen), British Journal of Medical Psychology, 16, 16, 10.1111/j.2044-8341.1936.tb01919.x
Hayes, 1973, On the function of visual imagery in elementary mathematics, 177
Hécaen, 1961, Les variétés cliniques des acalculies au cours des lésions rétro-rolandiques: Approche statistique du problème, Revue Neurologique, 105, 85
Henmon, 1906, The time of perception as a measure of differences in sensation, Archives of Philosophy, Psychology, and Scientific Method, 8, 5
Henschen, 1919, Uber Sprach-, Musik- un Rechenmechanismen und ihre Lokalisationen im Groβhirn, Zeitschrift für die desamte Neurologie und Psychiatrie, 52, 273, 10.1007/BF02872428
Hinrichs, 1982, Place information in multidigit number comparison, Memory and Cognition, 10, 487, 10.3758/BF03197652
Hinrichs, 1981, Two-digit number comparison: Use of place information, Journal of Experimental Psychology: Human Perception and Performance, 7, 890, 10.1037/0096-1523.7.4.890
Hurford, 1975
Hurford, 1987
Ifrah, 1981
Jamieson, 1975, Relational judgments with remembered stimuli, Perception and Psychophysics, 18, 373, 10.3758/BF03204108
Kaufman, 1949, The discrimination of visual number, American Journal of Psychology, 62, 498, 10.2307/1418556
Kitcher, 1984
Klahr, 1973, Quantification processes, 3
Klahr, 1973, The role of quantification operators in the development of conservation, Cognitive Psychology, 4, 301, 10.1016/0010-0285(73)90016-9
Kolers, 1968, Bilingualism and information processing, Scientific American, 218, 78, 10.1038/scientificamerican0368-78
Krueger, 1982, Single judgments of numerosity, Perception and Psychophysics, 31, 175, 10.3758/BF03206218
Krueger, 1989, Reconciling Fechner and Stevens: Toward a unified psychophysical law, Behavioral and Brain Sciences, 12, 251, 10.1017/S0140525X0004855X
Krueger, 1984, Why 2 + 2 = 5 looks so wrong: On the odd-even rule in sum verification, Memory and Cognition, 12, 171, 10.3758/BF03198431
Laming, 1989, Experimental evidence for Fechner's and Stevens' laws (commentary), Behavioral and Brain Sciences, 12, 277, 10.1017/S0140525X00048676
LeFevre, 1988, Cognitive arithmetic: Evidence for obligatory activation of arithmetic facts, Memory and Cognition, 16, 45, 10.3758/BF03197744
Mandler, 1982, Subitizing: An analysis of its component processes, Journal of Experimental Psychology: General, 111, 1, 10.1037/0096-3445.111.1.1
Marsh, 1976, Efficiency of arithmetic operations in bilinguals as a function of language, Memory and Cognition, 4, 459, 10.3758/BF03213203
McCloskey, 1992, Facts, rules, and procedures in normal calculation: Evidence from multiple single-patient studies of impaired arithmetic fact retrieval, Brain and Cognition
McCloskey, 1987, Cognitive mechanisms in normal and impaired number processing, 201
McCloskey, 1986, Cognitive processes in verbal-number production: Inferences from the performance of brain-damaged subjects, Journal of Experimental Psychology: General, 115, 307, 10.1037/0096-3445.115.4.307
McCloskey, 1990, Cognitive representations and processes in number production: Evidence from cases of acquired dyscalculia, 1
McCulloch, 1965
Mech, 1983, A mode control model of counting and timing processes, Journal of Experimental Psychology: Animal Behavior Processes, 9, 320, 10.1037/0097-7403.9.3.320
Menninger, 1969
Miller, 1956, The magical number seven plus or minus two: Some limits on our capacity for processing information, Psychological Review, 63, 81, 10.1037/h0043158
Miller, 1990, Starting to add worse: Effects of learning to multiply on children's addition, Cognition, 37, 213, 10.1016/0010-0277(90)90046-M
Miller, 1984, Cognitive arithmetics: Comparison of operations, Journal of Experimental Psychology: Learning, Memory and Cognition, 10, 46, 10.1037/0278-7393.10.1.46
Miller, 1987, Counting in Chinese: Cultural variation in a basic cognitive skill, Cognitive Development, 2, 279, 10.1016/S0885-2014(87)90091-8
Minturn, 1951, The effect of differential reinforcement on the discrimination of visual number, Journal of Psychology, 31, 201, 10.1080/00223980.1951.9712804
Mitchell, 1985, Discriminative responding of a dolphin (Tursiops truncatus) to differentially rewarded stimuli, Journal of comparative psychology, 99, 218, 10.1037/0735-7036.99.2.218
Moore, 1987, Effect of auditory numerical information on infant's looking behavior: contradictory evidence, Developmental Psychology, 23, 665, 10.1037/0012-1649.23.5.665
Morin, 1967, Recognition memory and reaction time, Acta Psychologica, 27, 298, 10.1016/0001-6918(67)90072-8
Morton, 1970, A functional model of memory
Moyer, 1967, Time required for judgements of numerical inequality, Nature, 215, 1519, 10.1038/2151519a0
Noel, 1992, Arabic number reading deficit: A single case study, Cognitive Neuropsychology
Parkman, 1972, Temporal aspects of simple multiplication and comparison, Journal of Experimental Psychology, 95, 437, 10.1037/h0033662
Parkman, 1971, Temporal aspects of simple addition and comparison, Journal of Experimental Psychology, 89, 335, 10.1037/h0031198
Piaget, 1952
Poltrock, 1984, Comparative judgments of multidigit numbers, Journal of Experimental Psychology: Learning, Memory and Cognition, 10, 32, 10.1037/0278-7393.10.1.32
Power, 1978, Learning to count: A computational model of language acquisition, Proceedings of the Royal Society (London), B 200, 319
Restle, 1970, Speed of adding and comparing numbers, Journal of Experimental Psychology, 83, 274, 10.1037/h0028573
Rilling, 1965, Signal detection in fixed ratio schedules, Science, 148, 526, 10.1126/science.148.3669.526
Rosner, 1965, The power law and subjective scales of number, Perceptual and Motor Skills, 21, 42, 10.2466/pms.1965.21.1.42
Rule, 1969, Equal discriminability scale of number, Journal of Experimental Psychology, 79, 35, 10.1037/h0026880
Rumbaugh, 1987, Summation in the chimpanzee (Pantroglodytes), Journal of Experimental Psychology: Animal Behavior Processes, 13, 107, 10.1037/0097-7403.13.2.107
Schaeffer, 1974, Number development in young children, Cognitive Psychology, 6, 357, 10.1016/0010-0285(74)90017-6
Schneider, 1974, A scale for the psychological magnitude of numbers, Perception and Psychophysics, 16, 43, 10.3758/BF03203247
Sekuler, 1977, Children's judgments of numerical inequality, Child Development, 48, 630, 10.2307/1128664
Seron, 1983, From 4 to four: A supplement to “from three to 3”, Brain, 106, 735, 10.1093/brain/106.3.735
Seron, 1987, The production of counting sequences by aphasics: A matter of lexical processing?, 171
Shepard, 1970, Second-order isomorphism of internal representations: Shapes of states, Cognitive Psychology, 1, 1, 10.1016/0010-0285(70)90002-2
Shepard, 1975, The internal representation of numbers, Cognitive Psychology, 7, 82, 10.1016/0010-0285(75)90006-7
Shipley, 1990, Countable entities: Developmental changes, Cognition, 34, 109, 10.1016/0010-0277(90)90041-H
Siegler, 1987, The perils of averaging data over strategies: An example from children's addition, Journal of Experimental Psychology: General, 116, 250, 10.1037/0096-3445.116.3.250
Siegler, 1987, Strategy choices in subtraction, 81
Siegler, 1988, Strategy choice procedures and the development of multiplication skill, Journal of Experimental Psychology: General, 3, 258, 10.1037/0096-3445.117.3.258
Siegler, 1982, The development of numerical understandings, Vol. 16, 242
Siegler, 1984, Strategy choices in addition: How do children know what to do?, 229
Song, 1988, The effect of the Korean number system on young children's counting: A natural experiment in numerical bilingualism, International Journal of Psychology, 23, 319, 10.1080/00207598808247769
Sophian, 1987, Infant's understanding of numerical transformations, British Journal of Developmental Psychology, 5, 257, 10.1111/j.2044-835X.1987.tb01061.x
Starkey, 1983, Detection of intermodal numerical correspondences by human infants, Science, 222, 179, 10.1126/science.6623069
Starkey, 1990, Numerical abstraction by human infants, Cognition, 36, 97, 10.1016/0010-0277(90)90001-Z
Stazyk, 1982, A network approach to mental multiplication, Journal of Experimental Psychology: Learning, Memory and Cognition, 8, 320, 10.1037/0278-7393.8.4.320
Strauss, 1984, Development of numerical concepts in infancy, 131
Svenson, 1975, Analysis of time required by children for simple additions, Acta Psychologica, 39, 289, 10.1016/0001-6918(75)90013-X
Takahashi, 1983, Numerical judgments with Kanji and Kana, Neuropsychologia, 21, 259, 10.1016/0028-3932(83)90042-8
Taves, 1941, Two mechanisms for the perception of visual numerousness, Archives of Psychology, 37
Teghtsoonian, 1989, Unified psychophysics: Wouldn't it be loverly...(commentary), Behavioral and Brain Sciences, 12, 292, 10.1017/S0140525X00048809
Thomas, 1980, Relative numerousness judgments by squirrel monkeys, Bulletin of the Psychonomic Society, 16, 79, 10.3758/BF03334444
Timmers, 1990, The generality of mental addition models: Simple and complex addition in a decision-production task, Memory and Cognition, 18, 310, 10.3758/BF03213884
Treiber, 1984, Discrimination of number by infants, Infant Behavior and Development, 7, 93, 10.1016/S0163-6383(84)80025-9
Trick, 1988
Trick, 1989
Trick, 1991
van Lehn, 1986, Arithmetic procedures are induced from examples, 133
van Lehn, 1990
van Loosbroek, 1990, Visual perception of numerosity in infancy, Developmental Psychology, 26, 916, 10.1037/0012-1649.26.6.911.b
van Oeffelen, 1982, A probabilistic model for the discrimination of visual number, Perception & Psychophysics, 32, 163, 10.3758/BF03204275
Vos, 1988, Interactions between area and numerosity, Psychological Research, 50, 148, 10.1007/BF00310175
Warrington, 1982, The fractionation of arithmetical skills: A single case study, Quarterly Journal of Experimental Psychology, 34A, 31, 10.1080/14640748208400856
Washburn, 1991, Ordinal judgments of numerical symbols by macaques (Macaca mulatta), Psychological Science, 2, 190, 10.1111/j.1467-9280.1991.tb00130.x
Weddel, 1991, A dyscalculic patient with selectively impaired processing of the numbers 7, 9 and 0, Brain and Cognition, 17, 240, 10.1016/0278-2626(91)90076-K
Widaman, 1989, A componential model for mental addition, Journal of Experimental Psychology: Learning, Memory and Cognition, 15, 898, 10.1037/0278-7393.15.5.898
Winkelman, 1974, Associative confusions in mental arithmetic, Journal of Experimental Psychology, 102, 734, 10.1037/h0036103
Woodruff, 1981, Primative (sic) mathematical concepts in the chimpanzee: Proportionality and numerosity, Nature, 293, 568, 10.1038/293568a0
Zbrodoff, 1986, On the autonomy of mental processes: A case of study of arithmetic, Journal of Experimental Psychology: General, 115, 118, 10.1037/0096-3445.115.2.118