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Spontaneous focusing on numerosity and motivational orientations as predictors of arithmetical skills from kindergarten to grade 2

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Abstract

In this 3-year longitudinal study, we examined the interplay of children’s motivational orientations, spontaneous focusing on numerosity (SFON) and number sequence and arithmetical skills from kindergarten (at age 6) to grade 1 (at age 7). We also examined the direct and indirect contributions of motivation and SFON to the acquisition of arithmetical skills from grades 1 to 2 (at age 8). The study involved 136 Finnish-speaking, typically developing children. Teacher ratings were used to assess the children’s motivational orientations (i.e., task orientation, task avoidance orientation and social dependence orientation) in kindergarten and grade 1. Number sequence skills and SFON were evaluated in kindergarten, and arithmetical skills were assessed in kindergarten, grade 1 and grade 2. A theoretical model of the relationships among the variables was proposed, and the associations were analysed using path analysis. The results showed that task orientation, social dependence orientation and task avoidance orientation were each unique predictors of later arithmetical achievement. Furthermore, together with arithmetical skills in grade 1 and counting abilities in kindergarten, they helped to predict arithmetical achievement in grade 2. Motivational orientations did not explain the significant contributions of SFON to later arithmetical skills. The study suggests that both motivational orientations and SFON require attention and scaffolding in educational contexts, such as assessment and teacher-child interaction from early on.

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Notes

  1. Unfortunately, the authors no longer have access to the original task sheets of basic arithmetical skills in kindergarten and grade 1, thus the reliability values cannot be reported here.

References

  • Aunio, P., & Niemivirta, M. (2010). Predicting children’s mathematical performance in grade one by early numeracy. Learning and Individual Differences, 20, 427–435. https://doi.org/10.1016/j.lindif.2010.06.003

    Article  Google Scholar 

  • Aunola, K., Leskinen, E., Lerkkanen, M.-K., & Nurmi, J.-E. (2004). Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96, 699–713. https://doi.org/10.1037/0022-0663.96.4.699

  • Aunola, K., Leskinen, E., & Nurmi, J.-E. (2006). Developmental dynamics between mathematical performance, task motivation, and teachers’ goals during the transition to primary school. British Journal of Educational Psychology, 76, 21–40.

  • Batchelor, S., Inglis, M., & Gilmore, C. (2015). Spontaneous focusing on numerosity and the arithmetic advantage. Learning and Instruction, 40, 79–88. https://doi.org/10.1016/j.learninstruc.2015.09.005

    Article  Google Scholar 

  • Berhenke, A., Miller, L. M., Brown, E., Seifer, R., & Dickstein, S. (2011). Observed emotional and behavioral indicators of motivation predict school readiness in head start graduates. Early Child Research Quarterly, 26(4), 430–441. https://doi.org/10.1016/j.ecresq.2011.04.001

    Article  Google Scholar 

  • Bojorque, G., Torbeyns, J., Hannula-Sormunen, M., Van Nijlen, D., & Verschaffel, L. (2017). Development of SFON in Ecuadorian kindergartners. European Journal of Psychology of Education, 32, 449–462. https://doi.org/10.1007/s10212-016-0306-9

    Article  Google Scholar 

  • Cattell, R. B. (1987). Intelligence: Its structure, growth, and action. Amsterdam, The Netherlands: Elsevier Science Publishers.

    Google Scholar 

  • Diener, C. I., & Dweck, C. S. (1978). An analysis of learned helplessness: Continuous changes in performance, strategy and achievement cognition following failure. Journal of Personality and Social Psychology, 36(5), 451–462. https://doi.org/10.1037/0022-3514.36.5.451

    Article  Google Scholar 

  • Dix, A., & van der Meer, E. (2015). Arithmetic and algebraic problem solving and resource allocation: The distinct impact of fluid and numerical intelligence. Psychophysiology, 52, 544–554. https://doi.org/10.1111/psyp.123675414

    Article  Google Scholar 

  • Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. C., Klebanov, P., … Japel, C. (2017). School readiness and later achievement. Developmental Psychology, 43(6), 1428–1446. https://doi.org/10.1037/0012-1649.43.6.1428

    Article  Google Scholar 

  • Edens, K. M., & Potter, E. F. (2012). An exploratory look at the relationships among math skills, motivational factors and activity choice. Early Childhood Educational Journal, 41(3), 235–243. https://doi.org/10.1007/s10643-012-0540-y

    Article  Google Scholar 

  • Ford, M. (1992). Motivating humans: Goals, emotions, and personal agency beliefs. Thousand Oaks, CA, USA: SAGE Publications.

    Book  Google Scholar 

  • Garon-Carrier, G., Boivin, M., Guay, F., Kovas, Y., Dionne, G., Lemelin, J.-P., … Tremblay, R. E. (2016). Intrinsic motivation and achievement in mathematics in elementary school: A longitudinal investigation of their association. Child Development, 87(1), 165–175. https://doi.org/10.1111/cdev.12458

    Article  Google Scholar 

  • Hannula, M. M., & Lehtinen, E. (2005). Spontaneous focusing on numerosity and mathematical skills of young children. Learning and Instruction, 15(3), 237–256. https://doi.org/10.1016/j.learninstruc.2005.04.005

  • Hannula, M. M., Lepola, J., & Lehtinen, E. (2010). Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills. Journal of Experimental Child Psychology, 107(4), 394–406. https://doi.org/10.1016/j.jecp.2010.06.004

  • Hannula-Sormunen, M. M. (2015). Spontaneous focusing on numerosity and its relation to counting and arithmetic. In R. Cohen Kadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 275–290). Oxford, UK: Oxford University Press. https://doi.org/10.1093/oxford.hb/9780199642342.013.018

    Chapter  Google Scholar 

  • Harter, S. (1981). A new self-report scale of intrinsic versus extrinsic orientation in the classroom: Motivational and informational components. Developmental Psychology, 17, 300–312.

  • Helmke, A., & van Aken, M. A. G. (1995). The causal ordering of academic achievement and self-concept of ability during elementary school: A longitudinal study. Journal of Educational Psychology, 87(4), 624–637. https://doi.org/10.1037/0022-0663.87.4.624

    Article  Google Scholar 

  • Hirvonen, R., Tolvanen, A., Aunola, K., & Nurmi, J.-E. (2012). The developmental dynamics of task-avoidant behavior and math performance in kindergarten and elementary school. Learning and Individual Differences, 22, 715–723. https://doi.org/10.1016/j.lindif.2012.05.014

    Article  Google Scholar 

  • Holt, H. (1964). How children fail. New York, NY: Pitman Publishing.

    Google Scholar 

  • Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6(1), 1–55. https://doi.org/10.1080/10705519909540118

    Article  Google Scholar 

  • Jõgi, A.-L., & Kikas, E. (2016). Calculation and word problem solving skills in primary grades—Impact of cognitive abilities and longitudinal interrelations with task-persistent behavior. British Journal of Educational Psychology, 86, 165–181. https://doi.org/10.1111/bjep.12096

    Article  Google Scholar 

  • Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003). Arithmetic fact mastery in young children: A longitudinal investigation. Journal of Experimental Child Psychology, 85, 103–119. https://doi.org/10.1016/S0022-0965(03)00032-8

    Article  Google Scholar 

  • Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology, 45(3), 850–867. https://doi.org/10.1037/a0014939

    Article  Google Scholar 

  • Kline, R. B. (2011). Principles and practice of structural equation modeling (3rd ed.). New York, NY: Guilford.

    Google Scholar 

  • Krinzinger, H., Kaufmann, L., & Willmes, K. (2009). Math anxiety and math ability in early primary school years. Journal of Psychoeducational Assessment, 27(3), 206–225.

    Article  Google Scholar 

  • Kyttälä, M., Aunio, P., Lepola, J., & Hautamäki, J. (2014). The role of the working memory and language skills in the prediction of word problem solving in 4- to 7-year-old children. Educational Psychology, 34(6), 674–696. https://doi.org/10.1080/01443410.2013.814192

    Article  Google Scholar 

  • Laitinen, S., Lepola, J., & Vauras, M. (2017). Early motivational orientation profiles and language comprehension skills: From preschool to grade 3. Learning and Individual Differences, 53, 69–78. https://doi.org/10.1016/j.lindif.2016.11.002

    Article  Google Scholar 

  • Lehtinen, E., Hannula-Sormunen, M., McMullen, J., & Gruber, H. (2017). Cultivating mathematical skills: From drill-and-practice to deliberate practice. ZDM Mathematics Education, 49, 625–636. https://doi.org/10.1007/s11858-017-0856-6

    Article  Google Scholar 

  • Lehtinen, E., Vauras, M., Salonen, P., Olkinuora, E., & Kinnunen, R. (1995). Long-term development of learning activity: Motivational, cognitive and social interaction. Educational Psychologist, 30(1), 21–35 https://doi.org/10.1207/s15326985ep3001_3

    Article  Google Scholar 

  • Lepola, J. (2004). The role of gender and reading competence in the development of motivational orientations from kindergarten to grade 1. Early Education & Development, 15(2), 215–240. https://doi.org/10.1207/s15566935eed1502_5

    Article  Google Scholar 

  • Lepola, J., Niemi, P., Kuikka, M., & Hannula, M. M. (2005). Cognitive-linguistic skills and motivation as longitudinal predictors of reading and arithmetical achievement: A follow-up study from kindergarten to grade 2. International Journal of Educational Research, 43, 250–271. https://doi.org/10.1016/j.ijer.2006.06.005

    Article  Google Scholar 

  • Lepola, J., Poskiparta, E., Laakkonen, E., & Niemi, P. (2005). Development of and relationship between phonological and motivational processes and naming speed in predicting word recognition in grade 1. Scientific Studies of Reading, 9(4), 367–399. https://doi.org/10.1207/s1532799xssr0904_3

    Article  Google Scholar 

  • Lepola, J., Vauras, M., & Mäki, H. (2000). Gender differences in the development of academic self-concept of attainment from the 2nd to the 6th grade: Relations with achievement and perceived motivational orientation. Hellenistic Journal of Psychology, 7(3), 290–308.

    Google Scholar 

  • Linnenbrink, E. A. (2006). Emotion research in education: Theoretical and methodological perspectives on the integration of affect, motivation, and cognition. Educational Psychology Review, 18, 307–314.

    Article  Google Scholar 

  • Marsh, H. W., & Martin, M. A. (2011). Academic self-concept and academic achievement: Relations and causal ordering. British Journal of Educational Psychology, 81(1), 59–77. https://doi.org/10.1348/000709910X503501

    Article  Google Scholar 

  • Martin, R. B., Cirino, P. T., Sharp, C., & Barnes, M. (2014). Number and counting skills in kindergarten as predictors of grade 1 mathematical skills. Learning and Individual Differences, 34, 12–23 https://doi.org/10.1016/j.lindif.2014.05.006

    Article  Google Scholar 

  • McLeod, D. B. (1994). Research on affect and mathematics learning in the JRME: 1970 to the present. Journal for Research in Mathematics Education, 25, 637–647.

    Article  Google Scholar 

  • Muthen, L. K., & Muthen, B. O. (1998–2013). Mplus: User’s guide (6th ed.). Los Angeles, CA: Muthen & Muthen.

  • Muthén, L.K., & Muthén, B.O. (2008). Mplus: User’s guide (5th ed.). Los Angeles: Muthén & Muthén.

  • Nanu, C., McMullen, J., Munck, P., & Hannula-Sormunen, M. (2018). Spontaneous focusing on numerosity in preschool as a predictor of mathematical skills and knowledge in the fifth grade. Journal of Experimental Child Psychology, 169, 42–58. https://doi.org/10.1016/j.jecp.2017.12.011

    Article  Google Scholar 

  • Nguyen, T., Watts, T. W., Duncan, G. J., Clements, D. H., Sarama, J. S., Wolfe, C., & Spitler, M. E. (2016). Which preschool mathematics competencies are most predictive of fifth grade achievement? Early Childhood Research Quarterly, 36, 550–560. https://doi.org/10.1016/j.ecresq.2016.02.003

    Article  Google Scholar 

  • Nicholls, J. G. (1984). Achievement motivation: Conceptions of ability, subjective experience, task choice and performance. Psychological Review, 91, 328–346.

    Article  Google Scholar 

  • Onatsu-Arvilommi, T., & Nurmi, J.-E. (2000). The role of task-avoidant and task-focused behaviors in the development of reading and mathematical skills during the first school year: A cross-lagged longitudinal study. Journal of Educational Psychology, 92, 478–491.

    Article  Google Scholar 

  • Pakarinen, E., Kiuru, N., Lerkkanen, M.-K., Poikkeus, A.-M., Ahonen, T., & Nurmi, J.-E. (2011). Instructional support predicts children’s task-avoidance in kindergarten. Early Child Research Quarterly, 26(3), 376–386. https://doi.org/10.1016/j.ecresq.2010.11.003

    Article  Google Scholar 

  • Raven, J. C. (1962). Guide for using coloured progressive matrices. London, UK: H. K. Lewis.

    Google Scholar 

  • Salonen, P., Lehtinen, E., & Olkinuora, E. (1998). Expectations and beyond: The development of motivation and learning in a classroom context. In J. Brophy (Ed.), Advances in research on teaching (Vol. 7, pp. 111–150). Greenwich, CT: JAI.

    Google Scholar 

  • Salonen, P., Lepola, J., & Vauras, M. (2007). Scaffolding interaction in parent-child dyads: Multimodal analysis of parental scaffolding with task and non-task oriented children. European Journal of Psychology of Education, 22(1), 77–96. https://doi.org/10.1007/BF03173690

    Article  Google Scholar 

  • Salonen, P., Lepola, J., Vauras, M., Rauhanummi, T., Lehtinen, E., & Kinnunen, R. (1994). Diagnostiset testit 3. Motivaatio, metakognitio ja matematiikka [Diagnostic tests 3. Motivation, metacognition and mathematics]. Finland: University of Turku, Centre for Learning Research.

  • Sorvo, R., Koponen, T., Viholainen, H., Aro, T., Räikkönen, E., Peura, P., … Aro, M. (2017). Math anxiety and its relationship with basic arithmetic skills among primary school children. British Journal of Educational Psychology, 87(3), 309–327. https://doi.org/10.1111/bjep.12151

    Article  Google Scholar 

  • Stipek, D., Feiler, R., Daniels, D., & Milburn, S. (1995). Effects of different instructional approaches on young children’s achievement and motivation. Child Development, 66(1), 209–223.

    Article  Google Scholar 

  • Stipek, D. J., & Greene, J. K. (2001). Achievement motivation in early childhood: Cause for concern or celebration? In S. L. Golbeck (Ed.), Psychological perspectives on early childhood education: Reframing dilemmas in research and practice (pp. 64–91). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Tin-Yau Wong, T., & Suk-Han Ho, C. (2017). Component processes in arithmetic word-problem solving and their correlates. Journal of Educational Psychology, 109(4), 520–531.

    Article  Google Scholar 

  • Urdan, T., & Maehr, M. L. (1995). Beyond a two-goal theory of motivation and achievement: A case for social goals. Review of Educational Research, 65(3), 213–243.

    Article  Google Scholar 

  • Viljaranta, J., Lerkkanen, M.-K., Poikkeus, A.-M., Aunola, K., & Nurmi, J.-E. (2009). Cross-lagged relations between task motivation and performance in arithmetic and literacy in kindergarten. Learning and Instruction, 19, 335–344.

    Article  Google Scholar 

  • Wu, S., Barth, M., Amin, H., Malcarne, V., & Menon, V. (2012). Math anxiety in second and third graders and its relation to mathematics achievement. Frontiers in Psychology, 3. https://doi.org/10.3389/fpsyg.2012.00162

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Acknowledgments

We thank the personnel at day care centres, kindergartens and schools, the teachers of children and the children themselves for very pleasant collaboration while conducting the study.

Funding

This study was based on a longitudinal research project (Origins of Exclusion) conducted at the University of Turku, Finland, and was supported by Grant 118330 from the Academy of Finland to the first author and by Grants 113997 and 278579 from the Academy of Finland to the second author.

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  1. Department of Teacher Education, University of Turku, Assistentinkatu 5, FI-20014, Turku, Finland

    Janne Lepola & Minna Hannula-Sormunen

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  1. Janne Lepola
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  2. Minna Hannula-Sormunen
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Correspondence to Janne Lepola.

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Lepola, J., Hannula-Sormunen, M. Spontaneous focusing on numerosity and motivational orientations as predictors of arithmetical skills from kindergarten to grade 2. Educ Stud Math 100, 251–269 (2019). https://doi.org/10.1007/s10649-018-9851-2

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