Assessing fraction knowledge by a digital game

Serious or educational games gain increasing research interest as tools to augment traditional instructional approaches on scholastic learning, especially in mathematics education. In this study, we investigated whether game-based approaches may not only be useful to foster numerical learning but may also be valid as an assessment tool. To measure their conceptual knowledge of fractions eleven-year-old students played a math game on tablet computers using tilt-control to navigate an avatar along a number line for a total of 30min. Findings indicated that hallmark effects of fraction magnitude processing typically observed in basic research, such as the numerical distance effect, were successfully replicated using the game-based assessment. Moreover, fraction comparison performance as well as fraction estimation accuracy correlated significantly with students' math grades. Therefore, the results of the current study suggest that game-based learning environments for fraction education (even using tilt-control) may also allow for a valid assessment of students fraction knowledge. Fraction understanding is an important predictor of mathematics achievement.We used a digital game with tilt control to assess conceptual fraction knowledge.The digital game employed fraction magnitude estimation and comparison tasks.Hallmark effects of fraction magnitude processing were replicated using the game.Additionally, game performance correlated with students' math grades.

[1]  Korbinian Moeller,et al.  Walk the number line – An embodied training of numerical concepts , 2013, Trends in Neuroscience and Education.

[2]  M. Alibali,et al.  Variability in the natural number bias: Who, when, how, and why , 2015 .

[3]  Kristian Kiili,et al.  Using video games to combine learning and assessment in mathematics education , 2015, Int. J. Serious Games.

[4]  Andreas Obersteiner,et al.  The natural number bias and magnitude representation in fraction comparison by expert mathematicians , 2013 .

[5]  C. Neuper,et al.  See Blockindiscussions, Blockinstats, Blockinand Blockinauthor Blockinprofiles Blockinfor Blockinthis Blockinpublication Neurophysiological Blockinmethods Blockinfor Blockinmonitoring Brain Blockinactivity Blockinin Blockinserious Blockingames Blockinand Blockinvirtual Environments: Blockina Blockin , 2022 .

[6]  S. Vosniadou,et al.  The development of students’ understanding of the numerical value of fractions , 2004 .

[7]  Suyoung Hwang,et al.  Developmental and Individual Differences in Empathy , 2019, The Korean Journal of Educational Psychology.

[8]  Elizabeth Spelke.  Core Systems of Number and Geometry , 2015 .

[9]  Christa Neuper,et al.  The Potential Use of Neurophysiological Signals for Learning Analytics , 2014, 2014 6th International Conference on Games and Virtual Worlds for Serious Applications (VS-GAMES).

[10]  M. Pomplun,et al.  Pupil Dilation as an Indicator of Cognitive Workload in Human-Computer Interaction , 2003 .

[11]  M. L. Scattoni,et al.  David C. Geary: The origin of mind: evolution of brain, cognition and general intelligence , 2006 .

[12]  Riccardo Berta,et al.  Assessment in and of Serious Games: An Overview , 2013, Adv. Hum. Comput. Interact..

[13]  Lieven Verschaffel,et al.  Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks , 2013 .

[14]  Lieven Verschaffel,et al.  Naturally Biased? In Search for Reaction Time Evidence for a Natural Number Bias in Adults. , 2012 .

[15]  Erno Lehtinen,et al.  Modeling the developmental trajectories of rational number concept(s) , 2015 .

[16]  Clarissa A. Thompson,et al.  An integrated theory of whole number and fractions development , 2011, Cognitive Psychology.

[17]  Michael Schneider,et al.  The developmental relations between conceptual and procedural knowledge: a multimethod approach. , 2010, Developmental psychology.

[18]  Julie L. Booth,et al.  Developmental and individual differences in pure numerical estimation. , 2006, Developmental psychology.

[19]  David C. Geary,et al.  The Origin of Mind: Evolution of Brain, Cognition, and General Intelligence , 2004 .

[20]  Cedric E. Ginestet.  ggplot2: Elegant Graphics for Data Analysis , 2011 .

[21]  John Bynner,et al.  Does Numeracy Matter More , 2006 .

[22]  Camilla Persson Benbow,et al.  Rejoinder to the Critiques of the National Mathematics Advisory Panel Final Report , 2008 .

[23]  Julie L. Booth,et al.  Fractions: Could they really be the gatekeeper’s doorman? , 2012 .

[24]  Jannicke Baalsrud Hauge,et al.  Learning Analytics Architecture to Scaffold Learning Experience through Technology-based Methods , 2015, Int. J. Serious Games.

[25]  Gerd Gigerenzer,et al.  Calculated Risks: How to Know When Numbers Deceive You , 2002 .

[26]  M. Schocke,et al.  The processing and representation of fractions within the brain. An fMRI investigation. , 2009, NeuroImage.

[27]  Herre van Oostendorp,et al.  Measuring Effectiveness of Persuasive Games Using an Informative Control Condition , 2015, Int. J. Serious Games.

[28]  Alexandre N. Tuch,et al.  Do points, levels and leaderboards harm intrinsic motivation?: an empirical analysis of common gamification elements , 2013, Gamification.

[29]  Baltasar Fernández-Manjón,et al.  Application of Learning Analytics in educational videogames , 2014, Entertain. Comput..

[30]  R. Siegler,et al.  The Development of Numerical Estimation , 2003, Psychological science.

[31]  Michael Schneider,et al.  Representations of the magnitudes of fractions. , 2010, Journal of experimental psychology. Human perception and performance.

[32]  K Moeller,et al.  Adaptive processing of fractions--evidence from eye-tracking. , 2014, Acta psychologica.

[33]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[34]  Zhiwei Zhu,et al.  Real-time nonintrusive monitoring and prediction of driver fatigue , 2004, IEEE Transactions on Vehicular Technology.

[35]  Peter van Rosmalen,et al.  Augmenting the Senses: A Review on Sensor-Based Learning Support , 2015, Sensors.

[36]  Xenia Vamvakoussi.  The development of rational number knowledge: Old topic, new insights , 2015 .

[37]  Jeffrey Earp,et al.  An update to the systematic literature review of empirical evidence of the impacts and outcomes of computer games and serious games , 2016, Comput. Educ..

[38]  Ana Paiva,et al.  Game elements improve performance in a working memory training task , 2015, Int. J. Serious Games.

[39]  W. Pouw,et al.  An Embedded and Embodied Cognition Review of Instructional Manipulatives , 2014 .

[40]  Ulrike Cress,et al.  Full-body Movement in Numerical Trainings: A Pilot Study with an Interactive Whiteboard , 2015, Int. J. Serious Games.

[41]  David Coyle,et al.  Gamification of Cognitive Assessment and Cognitive Training: A Systematic Review of Applications and Efficacy , 2016, JMIR serious games.

[42]  Robert S. Siegler,et al.  Fractions: the new frontier for theories of numerical development , 2013, Trends in Cognitive Sciences.

[43]  Michael von Aster,et al.  Mental number line training in children with developmental dyscalculia , 2011, NeuroImage.

[44]  Geetha B. Ramani,et al.  Playing linear numerical board games promotes low-income children's numerical development. , 2008, Developmental science.

[45]  Stella Vosniadou,et al.  The representation of fraction magnitudes and the whole number bias reconsidered. , 2015 .

[46]  Yujing Ni,et al.  Teaching and Learning Fraction and Rational Numbers: The Origins and Implications of Whole Number Bias , 2005 .

[47]  Robert S. Siegler,et al.  Bridging the Gap: Fraction Understanding Is Central to Mathematics Achievement in Students from Three Different Continents. , 2015 .

[48]  Baltasar Fernández-Manjón,et al.  Virtual Worlds for Serious Applications ( VS-GAMES ' 12 ) Tracing a little for big Improvements : Application of Learning Analytics and Videogames for Student Assessment , 2013 .

[49]  Moustafa El-Gindy,et al.  Real-time non-intrusive monitoring and prediction of driver distraction , 2016 .

[50]  Francesco Bellotti,et al.  User Assessment in Serious Games and Technology-Enhanced Learning , 2013, Adv. Hum. Comput. Interact..

[51]  Mary K. Hoard,et al.  Competence with fractions predicts gains in mathematics achievement. , 2012, Journal of experimental child psychology.

[52]  Pablo Moreno-Ger,et al.  Game Learning Analytics: Learning Analytics for Serious Games , 2016 .

[53]  Ulrike Cress,et al.  Math with the Dance Mat: On the Benefits of Embodied Numerical Training Approaches , 2014 .

[54]  Lieven Verschaffel,et al.  In search for the natural number bias in secondary school students' interpretation of the effect of arithmetical operations , 2015 .

[55]  Christa Neuper,et al.  Neuronal Correlates of Cognitive Control during Gaming Revealed by Near-Infrared Spectroscopy , 2015, PloS one.