Why and How Parents Promote Math Learning with their Young Children: A Mixed-Methods Investigation

REFERENCES

• Aiken, L. R. (1976). Update on attitudes and other affective variables in learning mathematics. Review of Educational Research, 46(2), 293–311. doi:10.3102/00346543046002293
   Web of Science ®Google Scholar
• Ansari, D., Donlan, C., Thomas, M. S. C., Ewing, S. A., Peen, T., & Karmiloff-Smith, A. (2003). What makes counting count? Verbal and visuo-spatial contributions to typical and atypical number development. Journal of Experimental Child Psychology, 85(1), 50–62. doi:10.1016/S0022-0965(03)00026-2
   PubMed Web of Science ®Google Scholar
• Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185. doi:10.1111/1467-8721.00196
   Web of Science ®Google Scholar
• Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students. Educational Studies in Mathematics, 75, 311–328. doi:10.1007/s10649-010-9260-7
   Web of Science ®Google Scholar
• Benavides-Varela, S., Butterworth, B., Burgio, F., Arcara, G., Lucangeli, D., & Semenza, C. (2016). Numerical activities and information learned at home link to the exact numeracy skills in 5–6 years-old children. Frontiers in Psychology, 7(February). doi:10.3389/fpsyg.2016.00094
   PubMedGoogle Scholar
• Berkowitz, T., Schaeffer, M. W., Maloney, E. A., Peterson, L., Gregor, C., Levine, S. C., & Beilock, S. L. (2015). Math at home adds up to achievement in school. Science, 350(6257), 196–198. doi:10.1126/science.aac7427
   PubMed Web of Science ®Google Scholar
• Betz, N. E. (1978). Prevalence, distribution, and correlates of math anxiety in college students. Journal of Counseling Psychology, 25(5), 441–448. doi:10.1037/0022-0167.25.5.441
   Web of Science ®Google Scholar
• Blevins‐Knabe, B., Austin, A. B., Musun, L., Eddy, A., & Jones, R. M. (2000). Family home care providers’ and parents’ beliefs and practices concerning mathematics with young children. Early Child Development and Care, 165(1), 41–58. doi:10.1080/0300443001650104
   Google Scholar
• Bornstein, M. H. (2009). Toward a model of culture-parent-child transactions. In A. J. Sameroff (Ed.), The transactional model of development: How children and contexts shape each other (pp. 139–161). Washington, DC: American Psychological Association. doi:10.1037/11877-008
   Google Scholar
• Creswell, J., & Creswell, J. D. (2018). Research design qualitative, quantitative, and mixed methods approaches. Los Angeles, CA: SAGE.
   Google Scholar
• Creswell, J., & Plano Clark, V. (2018). Designing and conducting mixed methods research. Thousand Oaks, CA: SAGE.
   Google Scholar
• Cross, C. T., Woods, T. A., & Schweingruber, H. (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Annals of the New York Academy of Sciences, 1167. doi:10.1111/j.1749-6632.2009.04540.x
   Google Scholar
• Crouch, M., & McKenzie, H. (2006). The logic of small samples in interview-based qualitative research. Social Science Information, 45(4), 483–499. doi:10.1177/0539018406069584
   Web of Science ®Google Scholar
• Dearing, E., Casey, B. M., Ganley, C. M., Tillinger, M., Laski, E., & Montecillo, C. (2012). Young girls’ arithmetic and spatial skills: The distal and proximal roles of family socioeconomics and home learning experiences. Early Childhood Research Quarterly, 27(3), 458–470. doi:10.1016/j.ecresq.2012.01.002
   Web of Science ®Google Scholar
• DeFlorio, L., & Beliakoff, A. (2015). Socioeconomic status and -preschoolers’ mathematical knowledge: The contribution of home activities and parent beliefs. Early Education and Development, 26(3), 319–341. doi:10.1080/10409289.2015.968239
   Web of Science ®Google Scholar
• Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science, 284(5416), 970–974. doi:10.1126/science.284.5416.970
   PubMed Web of Science ®Google Scholar
• Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. C., Klebanov, P., … Japel, C. (2007). School readiness and later achievement. Developmental Psychology, 43(6), 1428–1446. doi:10.1037/0012-1649.43.6.1428
   PubMed Web of Science ®Google Scholar
• Elliott, L., & Bachman, H. J. (2018). How do parents foster young children’s math skills? Child Development Perspectives, 12(1), 16–21. doi:10.1111/cdep.12249
   Web of Science ®Google Scholar
• Elliott, L., Braham, E. J., & Libertus, M. E. (2017). Understanding sources of individual variability in parents’ number talk with young children. Journal of Experimental Child Psychology, 159, 1–15. doi:10.1016/j.jecp.2017.01.011
   PubMed Web of Science ®Google Scholar
• Engel, M., Claessens, A., & Finch, M. A. (2013). Teaching students what they already know? The (mis) alignment between mathematics instructional content and student knowledge in kindergarten. Educational Evaluation and Policy Analysis, 35(2), 157–178. doi:10.3102/0162373712461850
   Web of Science ®Google Scholar
• Engel, M., Claessens, A., Watts, T., & Farkas, G. (2016). Mathematics content coverage and student learning in kindergarten. Educational Researcher, 45(5), 293–300. doi:10.3102/0013189X16656841
   PubMed Web of Science ®Google Scholar
• Evans, M. A., & Shaw, D. (2008). Home grown for reading: Parental contributions to young children’s emergent literacy and word recognition. Canadian Psychology, 49(2), 89–95. doi:10.1037/0708-5591.49.2.89
   Web of Science ®Google Scholar
• Gelman, R., & Gallistel, C. R. (1986). The child’s understanding of number. Cambridge, MA: Harvard University Press.
   Google Scholar
• Gelman, R., & Meck, E. (1983). Preschoolers’ counting: Principles before skill. Cognition, 13(3), 343–359. doi:10.1016/0010-0277(83)90014-8
   PubMed Web of Science ®Google Scholar
• Guest, G., Bunce, A., & Johnson, L. (2006). How many interviews are enough? An experiment with data saturation and variability. Field Methods, 18(1), 59–82. doi:10.1177/1525822X05279903
   Web of Science ®Google Scholar
• Gunderson, E. A., & Levine, S. C. (2011). Some types of parent number talk count more than others: Relations between parents’ input and children’s cardinal-number knowledge. Developmental Science, 14(5), 1021–1032. doi:10.1111/j.1467-7687.2011.01050.x
   PubMed Web of Science ®Google Scholar
• Gunderson, E. A., Ramirez, G., Beilock, S. L., & Levine, S. C. (2012). The relation between spatial skill and early number knowledge: The role of the linear number line. Developmental Psychology, 48(5), 1229–1241. doi:10.1037/a0027433
   PubMed Web of Science ®Google Scholar
• Jeynes, W. H. (2010a). Parental involvement & academic success. New York, NY: Taylor & Francis/Routledge.
   Google Scholar
• Jeynes, W. H. (2005). A meta-analysis of the relation of parental involvement to urban elementary school student academic achievement. Urban Education, 40(3), 237–269. doi:10.1177/0042085905274540
   Web of Science ®Google Scholar
• Jeynes, W. H. (2010b). The salience of the subtle aspects of parental involvement and encouraging that involvement: Implications for school-based programs. Teachers College Record, 112(3), 747–774.
   Google Scholar
• Johnson, R., & Onwuegbuzie, A. (2004). Mixed methods research: A research paradigm whose time has come. Educational Researcher. doi:10.2307/3700093
   Google Scholar
• Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research & Practice, 22(1), 36–46. doi:10.1111/j.1540-5826.2007.00229.x
   Google Scholar
• Karraker, K. H., & Coleman, P. K. (2005). The effects of child characteristics on parenting. In T. Luster & L. Okagaki (Eds.), Parenting: An ecological perspective (pp. 147–176). Mahwah, NJ: Lawrence Erlbaum Associates Inc.
   Google Scholar
• Kleemans, T., Peeters, M., Segers, E., & Verhoeven, L. (2012). Child and home predictors of early numeracy skills in kindergarten. Early Childhood Research Quarterly, 27(3), 471–477. doi:10.1016/j.ecresq.2011.12.004
   Web of Science ®Google Scholar
• Kosslyn, S. M. (1983). Ghosts in the mind’s machine: Creating and using images in the brain. New York, NY: Norton.
   Google Scholar
• LeFevre, J.-A., Polyzoi, E., Skwarchuk, S., Fast, L., & Sowinski, C. (2010). Do home numeracy and literacy practices of Greek and Canadian parents predict the numeracy skills of kindergarten children? International Journal of Early Years Education, 18(1), 55–70. doi:10.1080/09669761003693926
   Google Scholar
• LeFevre, J.-A., Skwarchuk, S. L., Smith-Chant, B. L., Fast, L., Kamawar, D., & Bisanz, J. (2009). Home numeracy experiences and children’s math performance in the early school years. Canadian Journal of Behavioural Science/Revue Canadienne Des Sciences Du Comportement, 41(2), 55. doi:10.1037/a0014532
   Web of Science ®Google Scholar
• Lehnung, M., Leplow, B., Friege, L., Herzog, A., Ferstl, R., & Mehdorn, M. (1998). Development of spatial memory and spatial orientation in preschoolers and primary school children. British Journal of Psychology, 89(3), 463–480. doi:10.1111/bjop.1998.89.issue-3
   PubMedGoogle Scholar
• Levine, S. C., Ratliff, K. R., Huttenlocher, J., & Cannon, J. (2012). Early puzzle play: A predictor of preschoolers’ spatial transformation skill. Developmental Psychology, 48(2), 530–542. doi:10.1037/a0025913
   PubMed Web of Science ®Google Scholar
• Levine, S. C., Suriyakham, L. W., Rowe, M. L., Huttenlocher, J., & Gunderson, E. A. (2010). What counts in the development of young children’s number knowledge? Developmental Psychology, 46(5), 1309–1319. doi:10.1037/a0019671
   PubMed Web of Science ®Google Scholar
• Lew, A. R., Bremner, J. G., & Lefkovitch, L. P. (2000). The development of relational landmark use in six- to twelve-month-old infants in a spatial orientation task. Child Development, 71(5), 1179–1190. doi:10.1111/1467-8624.00222
   PubMed Web of Science ®Google Scholar
• Liebeskind, K. G., Piotrowski, J. T., Lapierre, M. A., & Linebarger, D. L. (2014). The home literacy environment: Exploring how media and parent–Child interactions are associated with children’s language production. Journal of Early Childhood Literacy, 14(4), 482–509. doi:10.1177/1468798413512850
   Google Scholar
• Maloney, E. A., & Beilock, S. L. (2012). Math anxiety: Who has it, why it develops, and how to guard against it. Trends in Cognitive Sciences. doi:10.1016/j.tics.2012.06.008
   PubMed Web of Science ®Google Scholar
• Maloney, E. A., Ramirez, G., Gunderson, E., Levine, S. C., & Beilock, S. L. (2015). Intergenerational effects of parents’ math anxiety on children’s math achievement and anxiety. Psychological Science, 26(9), 1480–1488. doi:10.1177/0956797615592630
   PubMed Web of Science ®Google Scholar
• Malterud, K., Siersma, V. D., & Guassora, A. D. (2016). Sample size in qualitative interview studies: Guided by information power. Qualitative Health Research, 26(13), 1753–1760. doi:10.1177/1049732315617444
   PubMed Web of Science ®Google Scholar
• Miles, M. B., Huberman, A. M., & Saldaña, J. (2013). Qualitative data analysis: A methods sourcebook. Thousand Oaks, CA: SAGE Publications, Incorporated.
   Google Scholar
• Missall, K., Hojnoski, R. L., Caskie, G. I. L., & Repasky, P. (2014). Home numeracy environments of preschoolers: Examining relations among mathematical activities, parent mathematical beliefs, and early mathematical skills. Early Education and Development, 26(3), 356–376. doi:10.1080/10409289.2015.968243
   Web of Science ®Google Scholar
• Morrison, F. J., Bachman, H. J., & Connor, C. M. (2005). Improving literacy in America: Guidelines from research. New Haven, CT: Yale University Press.
   Google Scholar
• Musun-Miller, L., & Blevins-Knabe, B. (1998). Adults’ beliefs about children and mathematics: How important is it and how do children learn about it? Early Development and Parenting, 7, 191–202. doi:10.1002/(ISSN)1099-0917
   Web of Science ®Google Scholar
• Tourangeau, K., Nord, C., Lê, T., Sorongon, A.G., Hagedorn, M.C., Daly, P., and Najarian, M. (Forthcoming). Early childhood longitudinal study, kindergarten class of 2010-11 (ECLS-K:2011), User’s manual for the ECLS-K:2011 kindergarten data files and electronic codebook. Washington, DC: National Center for Education Statistics, Institute of Education Sciences, U.S. Department of Education.
   Google Scholar
• Niklas, F., & Schneider, W. (2014). Casting the die before the die is cast: The importance of the home numeracy environment for preschool children. European Journal of Psychology of Education, 29, 327–345. doi:10.1007/s10212-013-0201-6
   Web of Science ®Google Scholar
• Payne, A. C., Whitehurst, G., & Angel, A. L. (1994). The role of home literacy environment in the development of language ability in preschool children from low-income families. Early Childhood Research Quarterly, 9, 427–440. doi:10.1016/0885-2006(94)90018-3
   Web of Science ®Google Scholar
• Pomerantz, E., Kim, E. M., & Cheung, C. S. (2012). Parents’ involvement in children’s learning. In K. R. Harris, S. Graham, T. C. Urdan, S. Graham, J. M. Royer, & M. Zeider (Eds.), APA educational psychology handbookI: Vol 2: Individual differences and cultural contextual factors (pp. 417–439). Washington, D.C.: American Psychological Association. doi:10.1037/13274-017
   Google Scholar
• Pruden, S. M., Levine, S. C., & Huttenlocher, J. (2011). Children’s spatial thinking: Does talk about the spatial world matter? Developmental Science, 14(6), 1417–1430. doi:10.1111/j.1467-7687.2011.01088.x
   PubMed Web of Science ®Google Scholar
• Ramani, G. B., Rowe, M. L., Eason, S. H., & Leech, K. A. (2015). Math talk during informal learning activities in Head Start families. Cognitive Development, 35, 15–33. doi:10.1016/j.cogdev.2014.11.002
   Web of Science ®Google Scholar
• Ramani, G. B., & Siegler, R. S. (2008). Promoting broad and stable improvements in low-income children’s numerical knowledge through playing number board games. Child Development, 79(2), 375–394. doi:10.1111/j.1467-8624.2007.01131.x
   PubMed Web of Science ®Google Scholar
• Rodriguez, E. T., & Tamis-LeMonda, C. S. (2011). Trajectories of the home learning environment across the first 5 years: Associations with children’s vocabulary and literacy skills at prekindergarten. Child Development, 82(4), 1058–1075. doi:10.1111/cdev.2011.82.issue-4
   PubMed Web of Science ®Google Scholar
• Saldaña, J. (2009). The coding manual for qualitative researchers. Thousand Oaks, CA: Sage.
   Google Scholar
• Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York, NY: Routledge. doi:10.4324/9780203883785
   Google Scholar
• Sénéchal, M., & Lefevre, J.-A. (2014). Continuity and change in the home literacy environment as predictors of growth in vocabulary and reading. Child Development, 85(4), 1552–1568. doi:10.1111/cdev.12222
   PubMed Web of Science ®Google Scholar
• Siegler, R. S., & Ramani, G. B. (2008). Playing linear numerical board games promotes low-income children’s numerical development. Developmental Science, 11(5), 655–661. doi:10.1111/j.1467-7687.2008.00714.x
   PubMed Web of Science ®Google Scholar
• Simpkins, S. D., Weiss, H. B., McCartney, K., Kreider, H. M., & Dearing, E. (2006). Mother-child relationship as a moderator of the relation between family educational involvement and child achievement. Parenting, 6(1), 49–57. doi:10.1207/s15327922par0601_2
   Web of Science ®Google Scholar
• Skwarchuk, S. L. (2009). How do parents support preschoolers’ numeracy learning experiences at home? Early Childhood Education Journal, 37(3), 189–197. doi:10.1007/s10643-009-0340-1
   Google Scholar
• Skwarchuk, S. L., Sowinski, C., & LeFevre, J.-A. (2014). Formal and informal home learning activities in relation to children’s early numeracy and literacy skills: The development of a home numeracy model. Journal of Experimental Child Psychology, 121(1), 63–84. doi:10.1016/j.jecp.2013.11.006
   PubMed Web of Science ®Google Scholar
• Small, M. L. (2011). How to conduct a mixed methods study: Recent trends in a rapidly growing literature. Annual Review of Sociology, 37, 57–86. doi:10.1146/annurev.soc.012809.102657
   Web of Science ®Google Scholar
• Sonnenschein, S., Galindo, C., Metzger, S. R., Thompson, J. A., Huang, H. C., & Lewis, H. (2012). Parents’ beliefs about children’s math development and children’s participation in math activities. Child Development Research, 2012, 1–13. doi:10.1155/2012/851657
   Google Scholar
• Taylor, L. C., Clayton, J. D., & Rowley, S. J. (2004). Academic socialization: Understanding parental influences on children’s school-related development in the early years. Review of General Psychology, 8(3), 163–178. doi:10.1037/1089-2680.8.3.163
   Web of Science ®Google Scholar
• Vandermaas-Peeler, M., Boomgarden, E., Finn, L., & Pittard, C. (2012). Parental support of numeracy during a cooking activity with four-year-olds. International Journal of Early Years Education, 20(1), 78–93. doi:10.1080/09669760.2012.663237
   Google Scholar
• Vandermaas-Peeler, M., Nelson, J., Bumpass, C., & Sassine, B. (2009). Numeracy-related exchanges in joint storybook reading and play. International Journal of Early Years Education, 17(1), 67–84. doi:10.1080/09669760802699910
   Google Scholar
• Verdine, B. N., Golinkoff, R. M., Hirsh-Pasek, K., & Newcombe, N. S. (2014). Finding the missing piece: Blocks, puzzles, and shapes fuel school readiness. Trends in Neuroscience and Education, 3(1), 7–13. doi:10.1016/j.tine.2014.02.005
   Google Scholar
• Verdine, B. N., Golinkoff, R. M., Hirsh-Pasek, K., Newcombe, N. S., Filipowicz, A. T., & Chang, A. (2014). Deconstructing building blocks: Preschoolers’ spatial assembly performance relates to early mathematical skills. Child Development, 85(3), 1062–1076. doi:10.1111/cdev.12165
   PubMed Web of Science ®Google Scholar
• Whitehurst, G. J., & Lonigan, C. J. (1998). Child development and emergent literacy. Child Development, 69(3), 848. doi:10.2307/1132208
   PubMed Web of Science ®Google Scholar
• Yoshikawa, H., Weisner, T. S., Kalil, A., & Way, N. (2008). Mixing qualitative and quantitative research in developmental science: Uses and methodological choices. Developmental Psychology, 44, 344–354. doi:10.1037/0012-1649.44.2.344
   PubMed Web of Science ®Google Scholar
• Zorzi, M., Priftis, K., & Umiltà, C. (2002). Neglect disrupts the mental number line. Nature, 417(May), 138–140. doi:10.1038/417138a
   PubMedGoogle Scholar