Construction and evaluation of a number sense test with head start children

Journal of Educational Psychology

Volumn 96, Issue 4, 2004, Pages 648-659

  Malofeeva, Elena ^a,c   Day, Jeanne ^a   Saco, Ximena ^a   Young, Laura ^a   Ciancio, Dennis ^b  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSITY OF TEXAS   (United States)

^c University of Notre Dame ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844274577     PISSN: 00220663     EISSN: None     Source Type: Journal    
DOI: 10.1037/0022-0663.96.4.648     Document Type: Article

References (44)

1. Alibali, M. W., & DiRusso, A. A. (1999). The function of gesture in learning to count: More than keeping track. Cognitive Development, 14, 37-56.
2. Arnold, D. S., & Whitehurst, G. J. (1994). Accelerating language development through picture book reading: A summary of dialogic reading and its effect. In D. K. Dickinson (Ed.), Bridges to literacy: Children, families, and schools (pp. 103-128). Maiden, MA: Blackwell.
3. Avesar, C. (1984). The understanding of one to one correspondence by preschool children. Dissertation Abstracts International, 46(3), 975B.
4. Baroody, A. J. (1987). Children's mathematical thinking: A developmental framework for preschool, primary, and special education teachers. New York: Teachers College Press.
5. Baroody, A. J. (1989). Kindergartners' mental addition with single-digit combinations. Journal for Research in Mathematics Education, 20, 159-172.
6. Baroody, A. J. (1992). The development of kindergartners' mental-addition strategies. Learning and Individual Differences, 4, 215-235.
7. Baroody, A. J. (1993). The relationship between the order-irrelevance principle and counting skill. Journal for Research in Mathematics Education, 24, 415-427.
8. Baroody, A. J., & White, M. S. (1983). The development of counting skills and number conservation. Child Study Journal, 13, 95-105.
9. Baroody, A. J., & Wilkins, J. L. (1999). The development of informal counting, number, and arithmetic skills and concepts. In J. V. Copley (Ed.), Mathematics in the early years (pp. 48-65). Washington, DC: National Association for the Education of Young Children.
10. Bertelli, R., Joanni, E., & Martlew, M. (1998). Relationship between children's counting ability and their ability to reason about number. European Journal of Psychology of Education, 13, 371-384.
11. Bond, M. (1991). Paddington's 123. New York: Viking Press.
12. Carle, E. (1990). The very quiet cricket. New York: Philomel Books.
13. Case, R. (1998). April). A psychological model of number sense and its development. Paper presented at the annual meeting of the American Educational Research Association. San Diego, CA.
14. Case, R., Griffin, S., & Kelly, W. M. (1999). Socioeconomic gradients in mathematical ability and their responsiveness to intervention during early childhood. In D. P. Keating (Ed.), Developmental health and the wealth of nations: Social, biological, and educational, and educational dynamics (pp. 125-149). New York: Guilford Press.
15. Case, R., & Sandieson, R. (1991). Testing for the presence of a central quantitative structure: Use of the transfer paradigm. In R. Case (Ed.), The mind's staircase: Exploring the conceptual underpinnings of children's thought and knowledge (pp. 117-132). Hillsdale, NJ: Erlbaum.
16. Chao, S. J., Stigler, J. W., & Woodward, J. A. (2000). The effects of physical materials on kindergartners' learning of number concepts. Cognition and Instruction, 18, 285-316.
17. Clements, D. H. (1984). Training effects on the development and generalization of Piagetian logical operations and knowledge of number. Journal of Educational Psychology, 76, 766-776.
18. Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouw's (Ed.). Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 243-275). New York: Macmillan.
19. Geary, D. C. (1994). Children's mathematical development: Research and practical aplications. Washington, DC: American Psychological Association.
20. Gelman, R. (1982). Accessing one-to-one correspondence: Still another paper about conservation. British Journal of Psychology, 73, 209-220.
21. Gelman, R., & Gallistel, C. R. (1978). The child's understanding of number. Cambridge, VIA: Harvard University Press.
22. Gelman, R., & Gallistel, C. R. (1986). The child's understanding of number. Cambridge, VIA: Harvard University Press.
23. Gersten, R., & Chard, D. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. Journal of Special Education, 33, 18-28.
24. Griffin, S., Case, R., & Capodilupo, A. (1995). Teaching for understanding: The importance of the central conceptual structures in the elementary mathematics curriculum. In A. McKeough & J. Lupart (Eds.). Teaching for transfer: Forstering generalization in learning (pp. 123-151). Hillsdale, NJ: Erlbaum.
25. Griffin, S., Case, R., & Siegler, R. S. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 25-49). Cambridge, MA: MIT Press.
26. Hughes, M. (1981). Can preschool children add and subtract? Educational Psychology, 1, 207-219.
27. Huston, A. C. Carpenter, C. J., Atwater, J. B., & Johnson, L. M. (1986). Gender, adult structuring of activities, and social behavior in middle childhood. Child Development, 57, 1200-1209.
28. Kelleher, H. J. (1997). Making sense of number: A study of children's developing competence. Unpublished doctoral dissertation, University of British Columbia, Vancouver, British Columbia, Canada.
29. Kingma, J., & Koops, W. (1981). On the sequentiality of ordinality and cardinality. International Journal of Behavioral Development, 4, 391-402.
30. Mahan, B. (1994). Ants go marching. Racine, WI: Merrigold Press.
31. National Council of Teachers of Mathematics. (1994). 1994-95 handbook: NCTM goals, leaders, and positions. Reston. VA: Author.
32. Payne, J. E. (1990). Mathematics for the young child. Reston. VA: National Council of Teachers of Mathematics.
33. Phillips, D., & .Stipek, D. (1993). Early formal schooling: Are we promoting achievement or anxiety? Applied and Preventive Psychology, 2, 141-150.
34. Pike, C. D., & Forrester, M. A. (1997). The influence of number-sense on children's ability to estimate measures. Educational Psychology, 17, 483-500.
35. Richardson, K. (1997). Too easy for kindergarten and just right for first grade. Teaching Children Mathematics, 3, 432-437.
36. Sowder, J. T. (1992). Making sense of numbers in school mathematics. In G. Leinhardt & R. T. Putnam (Eds.). Analysis of arithmetic for mathematics teaching (pp. 1-51), Hillsdale, NJ: Erlbaum.
37. Stipek, D. J. (1995). The development of pride and shame in toddlers. In J. P. Tangney & K. W. Fischer (Eds.). Self conscious emotions: The psychology of shame, guilt, embarrassment, and pride (pp. 237-252). New York: Guilford Press.
38. Stipek, D. J., Feiler, R., Daniels, D., & Milburn, S. (1995). Effects of different instructional approaches on young children's achievement and motivation. Child Development, 66, 209-223.
39. Stipek, D. J., & Gralinski, J. H. (1991). Gender differences in children's achievement-related beliefs and emotional responses to success and failure in mathematics. Journal of Educational Psychology, 83, 361-371.
40. Stipek, D. J., & Ryan, R. H. (1997). Economically disadvantaged preschoolers: Ready to learn but further to go. Developmental Psychology, 33, 711-723.
41. Valeski, T. N., & Stipek, D. J. (2001). Young children's feelings about school. Child Development, 72, 1198-1213.
42. Van De Walle, J. (1990). Elementary school mathematics: Teaching developmentally, White Plains, NY: Longman.
43. Warren, J. (1997). Kids celebrate numbers. Torrance. CA: McGraw-Hill.
44. Wechsler, D. (1967). Wechsler Preschool and Primary Scale of Intelligence. San Antonio, TX: Psychology Corporation.