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2017 | OriginalPaper | Buchkapitel

Data-Driven Design Decisions to Improve Game-Based Learning of Fractions

verfasst von : Manuel Ninaus, Kristian Kiili, Robert S. Siegler, Korbinian Moeller

Erschienen in: Games and Learning Alliance

Verlag: Springer International Publishing

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Abstract

The educational value of games for learning is of prime importance. To design tasks that promote learning, findings from basic research and user data from earlier versions of the game can be very helpful. In the current study, we reanalysed data from two studies using a game-based assessment and a training tool for improving fraction magnitude knowledge. Similar to results from basic research, data of both studies indicated that performance in game-based versions of number line estimation and magnitude comparison were highly correlated (even after controlling for students’ overall math achievement). This suggests that both tasks share an underlying (spatial) representation of number magnitude. Based on this we designed a new task to improve fraction learning. In particular, we merged mechanics of number line estimation and magnitude comparison to consider shared processing of number magnitude in both tasks in our game-based learning of fractions.

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Literatur
2.
Zurück zum Zitat Freire, M., Serrano-laguna, Á., Iglesias, B.M., Martínez-Ortiz, I., Moreno-Ger, P., Fernandez-Manjon, B.: Game learning analytics: learning analytics for serious games. In: Spector, M.J., Lockee, B.B., Childress, M.D. (eds.) Learning, Design, and Technology, pp. 1–29. Springer International Publishing, Cham (2016). https://doi.org/10.1007/978-3-319-17727-4_21-1 Freire, M., Serrano-laguna, Á., Iglesias, B.M., Martínez-Ortiz, I., Moreno-Ger, P., Fernandez-Manjon, B.: Game learning analytics: learning analytics for serious games. In: Spector, M.J., Lockee, B.B., Childress, M.D. (eds.) Learning, Design, and Technology, pp. 1–29. Springer International Publishing, Cham (2016). https://​doi.​org/​10.​1007/​978-3-319-17727-4_​21-1
3.
Zurück zum Zitat Hauge, J.B., Berta, R., Fiucci, G., Manjon, B.F., Padron-Napoles, C., Westra, W., Nadolski, R.: Implications of Learning Analytics for Serious Game Design. In: 2014 IEEE 14th International Conference on Advanced Learning Technologies, pp. 230–232. IEEE (2014) Hauge, J.B., Berta, R., Fiucci, G., Manjon, B.F., Padron-Napoles, C., Westra, W., Nadolski, R.: Implications of Learning Analytics for Serious Game Design. In: 2014 IEEE 14th International Conference on Advanced Learning Technologies, pp. 230–232. IEEE (2014)
4.
Zurück zum Zitat Arnab, S., Lim, T., Carvalho, M.B., Bellotti, F., de Freitas, S., Louchart, S., Suttie, N., Berta, R., De Gloria, A.: Mapping learning and game mechanics for serious games analysis. Br. J. Educ. Technol. 46, 391–411 (2015)CrossRef Arnab, S., Lim, T., Carvalho, M.B., Bellotti, F., de Freitas, S., Louchart, S., Suttie, N., Berta, R., De Gloria, A.: Mapping learning and game mechanics for serious games analysis. Br. J. Educ. Technol. 46, 391–411 (2015)CrossRef
5.
Zurück zum Zitat Räsänen, P., Salminen, J., Wilson, A.J., Aunio, P., Dehaene, S.: Computer-assisted intervention for children with low numeracy skills. Cogn. Dev. 24, 450–472 (2009)CrossRef Räsänen, P., Salminen, J., Wilson, A.J., Aunio, P., Dehaene, S.: Computer-assisted intervention for children with low numeracy skills. Cogn. Dev. 24, 450–472 (2009)CrossRef
6.
Zurück zum Zitat Käser, T., Baschera, G.M., Kohn, J., Kucian, K., Richtmann, V., Grond, U., Gross, M., von Aster, M.: Design and evaluation of the computer-based training program Calcularis for enhancing numerical cognition. Front. Psychol. 4, 1–13 (2013)CrossRef Käser, T., Baschera, G.M., Kohn, J., Kucian, K., Richtmann, V., Grond, U., Gross, M., von Aster, M.: Design and evaluation of the computer-based training program Calcularis for enhancing numerical cognition. Front. Psychol. 4, 1–13 (2013)CrossRef
7.
Zurück zum Zitat Kucian, K., Grond, U., Rotzer, S., Henzi, B., Schönmann, C., Plangger, F., Gälli, M., Martin, E., von Aster, M.: Mental number line training in children with developmental dyscalculia. Neuroimage 57, 782–795 (2011)CrossRef Kucian, K., Grond, U., Rotzer, S., Henzi, B., Schönmann, C., Plangger, F., Gälli, M., Martin, E., von Aster, M.: Mental number line training in children with developmental dyscalculia. Neuroimage 57, 782–795 (2011)CrossRef
8.
Zurück zum Zitat Siegler, R.S., Fazio, L.K., Bailey, D.H., Zhou, X.: Fractions: The new frontier for theories of numerical development. Trends Cogn. Sci. 17, 13–19 (2013)CrossRef Siegler, R.S., Fazio, L.K., Bailey, D.H., Zhou, X.: Fractions: The new frontier for theories of numerical development. Trends Cogn. Sci. 17, 13–19 (2013)CrossRef
9.
Zurück zum Zitat National Mathematics Advisory Panel: Foundations for success: The final report of the National Mathematics Advisory Panel (2008) National Mathematics Advisory Panel: Foundations for success: The final report of the National Mathematics Advisory Panel (2008)
10.
Zurück zum Zitat Bailey, D.H., Hoard, M.K., Nugent, L., Geary, D.C.: Competence with fractions predicts gains in mathematics achievement. J. Exp. Child Psychol. 113, 447–455 (2012)CrossRef Bailey, D.H., Hoard, M.K., Nugent, L., Geary, D.C.: Competence with fractions predicts gains in mathematics achievement. J. Exp. Child Psychol. 113, 447–455 (2012)CrossRef
11.
Zurück zum Zitat Booth, J.L., Newton, K.J.: Fractions: could they really be the gatekeeper’s doorman? Contemp. Educ. Psychol. 37, 247–253 (2012)CrossRef Booth, J.L., Newton, K.J.: Fractions: could they really be the gatekeeper’s doorman? Contemp. Educ. Psychol. 37, 247–253 (2012)CrossRef
12.
Zurück zum Zitat Fazio, L.K., Bailey, D.H., Thompson, C., Siegler, R.S.: Relations of different types of numerical magnitude representations to each other and to mathematics achievement. J. Exp. Child Psychol. 123, 53–72 (2014)CrossRef Fazio, L.K., Bailey, D.H., Thompson, C., Siegler, R.S.: Relations of different types of numerical magnitude representations to each other and to mathematics achievement. J. Exp. Child Psychol. 123, 53–72 (2014)CrossRef
13.
Zurück zum Zitat Fazio, L.K., Kennedy, C.A., Siegler, R.S.: Improving children’s knowledge of fraction magnitudes. PLoS ONE 11, e0165243 (2016)CrossRef Fazio, L.K., Kennedy, C.A., Siegler, R.S.: Improving children’s knowledge of fraction magnitudes. PLoS ONE 11, e0165243 (2016)CrossRef
14.
Zurück zum Zitat Ninaus, M., Kiili, K., McMullen, J., Moeller, K.: Assessing fraction knowledge by a digital game. Comput. Hum. Behav. 70, 197–206 (2017)CrossRef Ninaus, M., Kiili, K., McMullen, J., Moeller, K.: Assessing fraction knowledge by a digital game. Comput. Hum. Behav. 70, 197–206 (2017)CrossRef
15.
Zurück zum Zitat Kiili, K., Moeller, K., Ninaus, M.: Evaluating the effectiveness of a game-based rational number training - in-game metrics as learning indicators. Comput. Educ. (under Review) Kiili, K., Moeller, K., Ninaus, M.: Evaluating the effectiveness of a game-based rational number training - in-game metrics as learning indicators. Comput. Educ. (under Review)
16.
Zurück zum Zitat Schneider, M., Thompson, C.A., Rittle-Johnson, B.: Associations of magnitude comparison and number line estimation with mathematical competence: a comparative review. In: Lemaire, P. (ed.) Cognitive development from a strategy perspective: A festschrift for Robert S. Siegler. Psychology Press, London (2018) Schneider, M., Thompson, C.A., Rittle-Johnson, B.: Associations of magnitude comparison and number line estimation with mathematical competence: a comparative review. In: Lemaire, P. (ed.) Cognitive development from a strategy perspective: A festschrift for Robert S. Siegler. Psychology Press, London (2018)
17.
Zurück zum Zitat de Hevia, M.D., Girelli, L., Cassia, V.M.: Minds without language represent number through space: Origins of the mental number line. Front. Psychol. 3, 1–4 (2012)CrossRef de Hevia, M.D., Girelli, L., Cassia, V.M.: Minds without language represent number through space: Origins of the mental number line. Front. Psychol. 3, 1–4 (2012)CrossRef
18.
Zurück zum Zitat Siegler, R.S., Opfer, J.E.: The development of numerical estimation: evidence for multiple representations of numerical quantity. Psychol. Sci. 14, 237–243 (2003)CrossRef Siegler, R.S., Opfer, J.E.: The development of numerical estimation: evidence for multiple representations of numerical quantity. Psychol. Sci. 14, 237–243 (2003)CrossRef
19.
Zurück zum Zitat Schneider, M., Stern, E.: The developmental relations between conceptual and procedural knowledge: a multimethod approach. Dev. Psychol. 46, 178–192 (2010)CrossRef Schneider, M., Stern, E.: The developmental relations between conceptual and procedural knowledge: a multimethod approach. Dev. Psychol. 46, 178–192 (2010)CrossRef
20.
Zurück zum Zitat Siegler, R.S., Ramani, G.B.: Playing linear number board games—but not circular ones—improves low-income preschoolers’ numerical understanding. J. Educ. Psychol. 101, 545–560 (2009)CrossRef Siegler, R.S., Ramani, G.B.: Playing linear number board games—but not circular ones—improves low-income preschoolers’ numerical understanding. J. Educ. Psychol. 101, 545–560 (2009)CrossRef
21.
Zurück zum Zitat Moyer, R.S., Landauer, T.K.: Time required for Judgements of Numerical Inequality. Nature 215, 1519–1520 (1967)CrossRef Moyer, R.S., Landauer, T.K.: Time required for Judgements of Numerical Inequality. Nature 215, 1519–1520 (1967)CrossRef
22.
Zurück zum Zitat Schneider, M., Siegler, R.S.: Representations of the magnitudes of fractions. J. Exp. Psychol. Hum. Percept. Perform. 36, 1227–1238 (2010)CrossRef Schneider, M., Siegler, R.S.: Representations of the magnitudes of fractions. J. Exp. Psychol. Hum. Percept. Perform. 36, 1227–1238 (2010)CrossRef
23.
Zurück zum Zitat Siegler, R.S., Ramani, G.B.: Playing linear numerical board games promotes low-income children’s numerical development. Dev. Sci. 11, 655–661 (2008)CrossRef Siegler, R.S., Ramani, G.B.: Playing linear numerical board games promotes low-income children’s numerical development. Dev. Sci. 11, 655–661 (2008)CrossRef
24.
Zurück zum Zitat Laski, E.V., Siegler, R.S.: Is 27 a big number? correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. Child Dev. 78, 1723–1743 (2007)CrossRef Laski, E.V., Siegler, R.S.: Is 27 a big number? correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. Child Dev. 78, 1723–1743 (2007)CrossRef
25.
Zurück zum Zitat Link, T., Nuerk, H.-C., Moeller, K.: On the relation between the mental number line and arithmetic competencies. Q. J. Exp. Psychol. 67, 1597–1613 (2014)CrossRef Link, T., Nuerk, H.-C., Moeller, K.: On the relation between the mental number line and arithmetic competencies. Q. J. Exp. Psychol. 67, 1597–1613 (2014)CrossRef
26.
Zurück zum Zitat Siegler, R.S., Thompson, C., Schneider, M.: An integrated theory of whole number and fractions development. Cogn. Psychol. 62, 273–296 (2011)CrossRef Siegler, R.S., Thompson, C., Schneider, M.: An integrated theory of whole number and fractions development. Cogn. Psychol. 62, 273–296 (2011)CrossRef
27.
Zurück zum Zitat Fischer, U., Moeller, K., Huber, S., Cress, U., Nuerk, H.-C.: Full-body movement in numerical trainings: a pilot study with an interactive whiteboard. Int. J. Serious Games. 2, 23–35 (2015)CrossRef Fischer, U., Moeller, K., Huber, S., Cress, U., Nuerk, H.-C.: Full-body movement in numerical trainings: a pilot study with an interactive whiteboard. Int. J. Serious Games. 2, 23–35 (2015)CrossRef
28.
Zurück zum Zitat Kiili, K., Ketamo, H.: Evaluating cognitive and affective outcomes of a digital game-based math test. IEEE Trans. Learn. Technol. PP(99), p. 1 (2017)CrossRef Kiili, K., Ketamo, H.: Evaluating cognitive and affective outcomes of a digital game-based math test. IEEE Trans. Learn. Technol. PP(99), p. 1 (2017)CrossRef
30.
Zurück zum Zitat Wei, T., Simko, V.: corrplot: Visualization of a Correlation Matrix. R package version 0.77 (2016) Wei, T., Simko, V.: corrplot: Visualization of a Correlation Matrix. R package version 0.77 (2016)
31.
32.
Zurück zum Zitat Lindstedt, A., Kiili, K.: Evaluating playing experience and adoption of a math learning game. In: Proceedings of the 1st International GamiFIN Conference, pp. 39–46. CEUR Workshop Proceedings (2017) Lindstedt, A., Kiili, K.: Evaluating playing experience and adoption of a math learning game. In: Proceedings of the 1st International GamiFIN Conference, pp. 39–46. CEUR Workshop Proceedings (2017)
Metadaten
Titel
Data-Driven Design Decisions to Improve Game-Based Learning of Fractions
verfasst von
Manuel Ninaus
Kristian Kiili
Robert S. Siegler
Korbinian Moeller
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-71940-5_1

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