Reflections of evolution and culture in children's cognition: Implications for mathematical development and instruction.

: An evolution-based framework for understanding biological and cultural influences on children's cognitive and academic development is presented. The utility of this framework is illustrated within the mathematical domain and serves as a foundation for examining current approaches to educational reform in the United States. Within this framework, there are two general classes of cognitive ability, biologically primary and biologically secondary. Biologically primary cognitive abilities appear to have evolved largely by means of natural or sexual selection. Biologically secondary cognitive abilities reflect the co-optation of primary abilities for purposes other than the original evolution-based function and appear to develop only in specific cultural contexts. A distinction between these classes of ability has important implications for understanding children's cognitive development and achievement.

[1]  David C. Geary,et al.  Children's Mathematical Development: Research and Practical Applications , 1996 .

[2]  D. Detterman The case for the prosecution: Transfer as an epiphenomenon. , 1996 .

[3]  R. Shepard Perceptual-cognitive universals as reflections of the world , 1994, Psychonomic bulletin & review.

[4]  Joseph K. Torgesen,et al.  Development of Reading-Related Phonological Processing Abilities: New Evidence of Bidirectional Causality from a Latent Variable Longitudinal Study. , 1994 .

[5]  James W. Stigler,et al.  Why Our Schools Are Failing and What We Can Learn from Japanese and Chinese Education , 1993 .

[6]  Robert J. Crutcher,et al.  The role of deliberate practice in the acquisition of expert performance. , 1993 .

[7]  Shirley L. Yu,et al.  Asking Questions in First-Grade Mathematics Classes: Potential Influences on Mathematical Thought. , 1993 .

[8]  H. P. Bahrick Extending the life span of knowledge. , 1993 .

[9]  David A. Washburn,et al.  Counting by chimpanzees and ordinality judgments by macaques in video-formatted tasks. , 1993 .

[10]  Louis A. Penner,et al.  The Challenge in mathematics and science education : psychology's response , 1993 .

[11]  E. J. Capaldi,et al.  The Development of numerical competence : animal and human models , 1993 .

[12]  R. Sternberg,et al.  Transfer on Trial: Intelligence, Cognition and Instruction , 1993 .

[13]  Rochel Gelman,et al.  A Rational-Constructivist Account of Early Learning About Numbers and Objects , 1993 .

[14]  Sarah T. Boysen,et al.  Counting in Chimpanzees: Nonhuman Principles and Emergent Properties of Number , 1993 .

[15]  Chuansheng Chen,et al.  Mathematics achievement of Chinese, Japanese, and American children: ten years later. , 1993, Science.

[16]  L. R. Goldberg The structure of phenotypic personality traits. , 1993, The American psychologist.

[17]  C. Gallistel,et al.  Preverbal and verbal counting and computation , 1992, Cognition.

[18]  P. Symonds,et al.  Practice vs. motivation , 1992 .

[19]  Karen Wynn,et al.  Addition and subtraction by human infants , 1992, Nature.

[20]  Prentice Starkey,et al.  The early development of numerical reasoning , 1992, Cognition.

[21]  K. Fuson,et al.  Korean children's understanding of multidigit addition and subtraction. , 1992, Child development.

[22]  P. Cobb,et al.  A Constructivist Alternative to the Representational View of Mind in Mathematics Education. , 1992 .

[23]  Roger N. Shepard,et al.  The perceptual organization of colors: An adaptation to regularities of the terrestrial world? , 1992 .

[24]  F. Rivera-batiz,et al.  Quantitative Literacy and the Likelihood of Employment among Young Adults in the United States , 1992 .

[25]  L. R. Novick Chapter 5 The Role Of Expertise In Solving Arithmetic And Algebra Word Problems By Analogy , 1992 .

[26]  L. Trick Chapter 7 A Theory Of Enumeration That Grows Out Of A General Theory Of Vision: Subitizing, Counting, And Finsts , 1992 .

[27]  Leslie P. Steffe,et al.  Schemes of action and operation involving composite units , 1992 .

[28]  Jamie I. D. Campbell The Nature and origins of mathematical skills , 1992 .

[29]  L. Cosmides,et al.  The Adapted mind : evolutionary psychology and the generation of culture , 1992 .

[30]  David C. Geary,et al.  Numerical Cognition on the Convergence of Componential and Psychometric Models Correspondence and Requests for Reprints Should Be Sent To , 1992 .

[31]  John R. Anderson,et al.  Reflections of the Environment in Memory Form of the Memory Functions , 2022 .

[32]  Michelle Perry,et al.  Learning and Transfer: Instructional Conditions and Conceptual Change , 1991 .

[33]  Stephen J. Ceci,et al.  How Much Does Schooling Influence General Intelligence and Its Cognitive Components? A Reassessment of the Evidence. , 1991 .

[34]  David A. Washburn,et al.  Ordinal Judgments of Numerical Symbols by Macaques (Macaca Mulatta) , 1991, Psychological science.

[35]  Harry P. Bahrick,et al.  Lifetime maintenance of high school mathematics content. , 1991 .

[36]  C. Benbow,et al.  Differential Enhancement of Working Memory with Mathematical versus Verbal Precocity. , 1991 .

[37]  L. Steffe,et al.  Conceptual Models in Educational Research and Practice. , 1991 .

[38]  S. Pinker,et al.  Natural language and natural selection , 1990, Behavioral and Brain Sciences.

[39]  Ad W. Smitsman,et al.  Visual perception of numerosity in infancy. , 1990 .

[40]  Geoffrey B. Saxe,et al.  Culture and cognitive development , 1990 .

[41]  E. Spelke,et al.  Numerical abstraction by human infants , 1990, Cognition.

[42]  Magdalene Lampert,et al.  When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching , 1990 .

[43]  R. Gelman First Principles Organize Attention to and Learning About Relevant Data: Number and the Animate‐Inanimate Distinction as Examples , 1990 .

[44]  C. Gallistel The organization of learning , 1990 .

[45]  Thomas Crump,et al.  The anthropology of numbers , 1990 .

[46]  A. Lewis Training students to represent arithmetic word problems , 1989 .

[47]  J. Campos,et al.  Emergent Themes in the Study of Emotional Development and Emotion Regulation. , 1989 .

[48]  L. Cosmides The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason selection task , 1989, Cognition.

[49]  G. Berntson,et al.  Numerical competence in a chimpanzee (Pan troglodytes). , 1989, Journal of comparative psychology.

[50]  Harris Cooper,et al.  Synthesis of Research on Homework. , 1989 .

[51]  H. Davis,et al.  Numerical competence in animals: Definitional issues, current evidence, and a new research agenda , 1988, Behavioral and Brain Sciences.

[52]  K. Macdonald Social and Personality Development: An Evolutionary Synthesis , 1988 .

[53]  C. Benbow Some of the pathological assumptions in the sciences of gender , 1988, Behavioral and Brain Sciences.

[54]  Paul Rozin,et al.  The adaptive-evolutionary point of view in experimental psychology. , 1988 .

[55]  K. Fuson Children's Counting and Concepts of Number , 1987 .

[56]  John Bishop,et al.  Is the Test Score Decline Responsible for the Productivity Growth Decline? Working Paper No. 87-05. , 1987 .

[57]  J. Sweller,et al.  Effects of schema acquisition and rule automation on mathematical problem-solving transfer. , 1987 .

[58]  Herbert P. Ginsburg,et al.  The Development of Informal and Formal Mathematical Thinking in Korean and U.S. Children. , 1987 .

[59]  James W. Stigler,et al.  Counting in Chinese: Cultural variation in a basic cognitive skill , 1987 .

[60]  W. Greenough,et al.  Experience and brain development. , 1987, Child development.

[61]  J. Flynn Massive IQ gains in 14 nations: What IQ tests really measure. , 1987 .

[62]  Geoffrey B. Saxe,et al.  Social processes in early number development. , 1987 .

[63]  A. Schoenfeld Cognitive Science and Mathematics Education , 1987 .

[64]  Edward A. Silver,et al.  Foundations of cognitive theory and research for mathematics problem-solving instruction. , 1987 .

[65]  S F Witelson Neurobiological aspects of language in children. , 1987, Child development.

[66]  J. L. Gould The Locale Map of Honey Bees: Do Insects Have Cognitive Maps? , 1986, Science.

[67]  Alan H. Schoenfeld,et al.  Mathematical Problem Solving , 1985 .

[68]  Valerie J. Shute,et al.  Developmental Differences in Understanding and Solving Simple Mathematics Word Problems , 1985 .

[69]  Jaak Panksepp,et al.  The psychobiology of play: Theoretical and methodological perspectives , 1984, Neuroscience & Biobehavioral Reviews.

[70]  John Knight,et al.  Earnings, Schooling, Ability, and Cognitive Skills , 1985 .

[71]  R. Sternberg Human Abilities: An Information Processing Approach , 1985 .

[72]  Edward S. Johnson Sex differences in problem solving. , 1984 .

[73]  Robert S. Siegler,et al.  A featural analysis of preschoolers' counting knowledge. , 1984 .

[74]  J. Sweller,et al.  Development of expertise in mathematical problem solving. , 1983 .

[75]  E. Spelke,et al.  Detection of intermodal numerical correspondences by human infants. , 1983, Science.

[76]  S E Antell,et al.  Perception of numerical invariance in neonates. , 1983, Child development.

[77]  Hank Davis,et al.  Counting behavior in animals: A critical evaluation. , 1982 .

[78]  Geoffrey B. Saxe,et al.  Culture and the Development of Numerical Cognition: Studies among the Oksapmin of Papua New Guinea , 1982 .

[79]  S. Gould,et al.  Exaptation—a Missing Term in the Science of Form , 1982, Paleobiology.

[80]  B. West,et al.  The Prentice-Hall Encyclopedia of Mathematics , 1982 .

[81]  Charles J. Brainerd Children's Logical and Mathematical Cognition: Progress in Cognitive Development Research. , 1982 .

[82]  H Gleitman,et al.  Spatial knowledge and geometric representation in a child blind from birth. , 1981, Science.

[83]  Robert L. Russell,et al.  The Development of Mental Addition as a Function of Schooling and Culture , 1981 .

[84]  A. Luria Higher Cortical Functions in Man , 1980, Springer US.

[85]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[86]  J. W. Whiting,et al.  Children of Six Cultures: A Psycho-Cultural Analysis , 1975 .

[87]  Claudia Zaslavsky,et al.  Africa Counts: Number and Pattern in African Cultures , 1973 .

[88]  Richard F. Thompson,et al.  Number Coding in Association Cortex of the Cat , 1970, Science.

[89]  Dye Nw,et al.  Growth changes in factorial structure by age and sex. , 1968 .

[90]  P. Very,et al.  Differential factor structures in mathematical ability. , 1967, Genetic psychology monographs.

[91]  R T Osborne,et al.  A longitudinal investigation of change in the factorial composition of intelligence with age in young school children. , 1967, The Journal of genetic psychology.

[92]  T. Husén INTERNATIONAL STUDY OF ACHIEVEMENT IN MATHEMATICS, A COMPARISON OF TWELVE COUNTRIES, VOLUME I. , 1967 .

[93]  K. Frisch The dance language and orientation of bees , 1967 .

[94]  S. G. Vandenberg Contributions of twin research to psychology. , 1966, Psychological bulletin.

[95]  G. M. Guthrie Structure of abilities in a non-western culture. , 1963 .

[96]  S. G. Vandenberg,et al.  The Hereditary Abilities Study: Hereditary Components in a Psychological Test Battery. , 1962, American journal of human genetics.

[97]  S. G. Vandenberg THE PRIMARY MENTAL ABILITIES OF CHINESE STUDENTS: A COMPARATIVE STUDY OF THE STABILITY OF A FACTOR STRUCTURE , 1959 .

[98]  J. Piaget Play, dreams and imitation in childhood , 1951 .

[99]  L. Thurstone Primary mental abilities. , 1938, Science.

[100]  C. Coombs A factorial study of number ability , 1941 .

[101]  L. Thurstone,et al.  Factorial Studies Of Intelligence , 1941 .

[102]  C. Spearman,et al.  "THE ABILITIES OF MAN". , 1928, Science.