Perspectives to Technology-Enhanced Learning and Teaching in Mathematical Learning Difficulties

Technology has entered education quickly. In developed countries children and teachers have access to hundreds of thousands of learning applications and games. However, the digital divide is significant: some parts of the world still lack the basic requirements for participation in the digital revolution, such as electricity. Development of solar power and mobile technology will narrow this gap, rapidly revolutionizing the access to devices for technology-enabled education globally. One such area of advancements in technology is teacher education, where massive open online courses (MOOC) and other Internet sources offer today’s teachers the means to learn about the best pedagogies. Even though there is still a debate about the effectiveness of using educational technologies and the results have been inconclusive, the use of technology-enhanced learning (TEL) in education is increasing inevitably as the technologies get cheaper. At the same time, the rise in controlled intervention studies of TEL to support children and adults with MLD is offering new possibilities to understand the mechanisms of learning mathematics. During the last 10–15 years, the focus has been on different types of interventions to develop the number sense of the children with MLD. Slowly the interest is turning to more comprehensive models taking into account the core features of numerical understanding, the multiple concepts and representations in mathematics, and the cognitive skills needed in numerical processing, as well as the best pedagogical practices of special needs education.

[1]  Thomas Lowrie,et al.  Visuospatial training improves elementary students’ mathematics performance , 2017, The British journal of educational psychology.

[2]  Elizabeth S. Spelke,et al.  Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling , 2010, Cognition.

[3]  R. Clark Reconsidering Research on Learning from Media , 1983 .

[4]  Sian L. Beilock,et al.  Numerical ordering ability mediates the relation between number-sense and arithmetic competence , 2011, Cognition.

[5]  E. Kroesbergen,et al.  Longitudinal development of number line estimation and mathematics performance in primary school children. , 2015, Journal of experimental child psychology.

[6]  Stefan Ufer,et al.  How Training on Exact or Approximate Mental Representations of Number Can Enhance First-Grade Students' Basic Number Processing and Arithmetic Skills , 2013 .

[7]  Julie Sarama,et al.  Early Childhood Mathematics Intervention , 2011, Science.

[8]  Diana Laurillard,et al.  The educational problem that MOOCs could solve: professional development for teachers of disadvantaged students , 2016 .

[9]  Guilherme Wood,et al.  Developmental dyscalculia: compensatory mechanisms in left intraparietal regions in response to nonsymbolic magnitudes , 2009, Behavioral and Brain Functions.

[10]  Marie-Pascale Noël,et al.  Improving Preschoolers’ Arithmetic through Number Magnitude Training: The Impact of Non-Symbolic and Symbolic Training , 2016, PloS one.

[11]  Kaustubh Supekar,et al.  Cognitive tutoring induces widespread neuroplasticity and remediates brain function in children with mathematical learning disabilities , 2015, Nature Communications.

[12]  M. Aster,et al.  Effekte des Calcularis-Trainings , 2017 .

[13]  D. Ansari,et al.  Strong causal claims require strong evidence: A commentary on Wang and colleagues. , 2017, Journal of experimental child psychology.

[14]  M. Zorzi,et al.  Training numerical skills with the adaptive videogame “The Number Race”: A randomized controlled trial on preschoolers , 2016, Trends in Neuroscience and Education.

[15]  Julie L. Booth,et al.  Numerical magnitude representations influence arithmetic learning. , 2008, Child development.

[16]  S. Varma,et al.  Dyscalculia: From Brain to Education , 2011, Science.

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

[18]  Kyle Greenberg,et al.  The impact of computer usage on academic performance: Evidence from a randomized trial at the United States Military Academy , 2017 .

[19]  Uwe Deichmann,et al.  World development report 2016: Digital dividends , 2016 .

[20]  Andrea Facoetti,et al.  Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia , 2010, Cognition.

[21]  Herbert J. Walberg,et al.  Comparative Effects of Computer-Assisted Instruction: A Synthesis of Reviews , 1987 .

[22]  K. Kucian,et al.  Longitudinal Brain Development of Numerical Skills in Typically Developing Children and Children with Developmental Dyscalculia , 2018, Front. Hum. Neurosci..

[23]  Marie-Pascale Noël,et al.  Neural Correlates of Symbolic Number Comparison in Developmental Dyscalculia , 2010, Journal of Cognitive Neuroscience.

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

[25]  Rubaba Ali,et al.  Who Benefits Most from Rural Electrification? Evidence in India , 2012 .

[26]  Elizabeth M Brannon,et al.  Training the Approximate Number System Improves Math Proficiency , 2013, Psychological science.

[27]  L. Feigenson,et al.  Preschoolers' Precision of the Approximate Number System Predicts Later School Mathematics Performance , 2011, PloS one.

[28]  Michael F. Young,et al.  Our Princess Is in Another Castle , 2012 .

[29]  Elizabeth M. Brannon,et al.  Improving arithmetic performance with number sense training: An investigation of underlying mechanism , 2014, Cognition.

[30]  Christian T. Doabler,et al.  Evaluating Three Elementary Mathematics Programs for Presence of Eight Research-Based Instructional Design Principles , 2012 .

[31]  M. Passolunghi,et al.  Working memory and early numeracy training in preschool children , 2016, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[32]  Justin Halberda,et al.  Number sense across the lifespan as revealed by a massive Internet-based sample , 2012, Proceedings of the National Academy of Sciences.

[33]  Heinz Holling,et al.  Interventions for Children With Mathematical Difficulties A Meta-Analysis , 2015 .

[34]  Daniel C. Hyde,et al.  Effects of Non-Symbolic Approximate Number Practice on Symbolic Numerical Abilities in Pakistani Children , 2016, PloS one.

[35]  J. Sarama,et al.  “Concrete” Computer Manipulatives in Mathematics Education , 2009 .

[36]  Lucy Cragg,et al.  Explaining the relationship between number line estimation and mathematical achievement: The role of visuomotor integration and visuospatial skills. , 2016, Journal of experimental child psychology.

[37]  Victoria Menzies,et al.  A longitudinal analysis of estimation, counting skills, and mathematical ability across the first school year. , 2013, Developmental psychology.

[38]  Ruth Stevens,et al.  Improving children's working memory and classroom performance , 2010 .

[39]  Justin Halberda,et al.  Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). , 2011, Child development.

[40]  S. Dehaene,et al.  Computer-Assisted Intervention for Children with Low Numeracy Skills , 2009 .

[41]  Tanja Käser,et al.  Evaluation of a Computer-Based Training Program for Enhancing Arithmetic Skills and Spatial Number Representation in Primary School Children , 2016, Front. Psychol..

[42]  Patricia S. Moyer,et al.  Third Graders Learn about Fractions Using Virtual Manipulatives: A Classroom study , 2005 .

[43]  H. O'Neil,et al.  Classification of learning outcomes: evidence from the computer games literature , 2005 .

[44]  R. Kozma Will media influence learning? Reframing the debate , 1994 .

[45]  K. Kucian,et al.  Functional hyperconnectivity vanishes in children with developmental dyscalculia after numerical intervention , 2017, Developmental Cognitive Neuroscience.

[46]  L. Feigenson,et al.  Changing the precision of preschoolers' approximate number system representations changes their symbolic math performance. , 2016, Journal of experimental child psychology.

[47]  Ulrike Cress,et al.  Sensori-motor spatial training of number magnitude representation , 2011, Psychonomic bulletin & review.

[48]  Robert E. Slavin,et al.  Effective Programs in Elementary Mathematics: A Best-Evidence Synthesis , 2007 .

[49]  J. Witt Action’s Effect on Perception , 2011 .

[50]  Qing Li,et al.  A Meta-analysis of the Effects of Computer Technology on School Students’ Mathematics Learning , 2010 .

[51]  Julie Sarama,et al.  Building Blocks for early childhood mathematics , 2003 .

[52]  Elizabeth M. Brannon,et al.  Malleability of the approximate number system: effects of feedback and training , 2012, Front. Hum. Neurosci..

[53]  B. Reynvoet,et al.  Enhancing arithmetic in pre-schoolers with comparison or number line estimation training: Does it matter? ☆ , 2016 .

[54]  Joonkoo Park,et al.  Non-symbolic approximate arithmetic training improves math performance in preschoolers. , 2016, Journal of experimental child psychology.

[55]  P. Wouters,et al.  A meta-analysis of the cognitive and motivational effects of serious games , 2013 .

[56]  Diana Laurillard,et al.  Learning number sense through digital games with intrinsic feedback , 2016 .

[57]  Heinz Holling,et al.  Number sense or working memory? The effect of two computer-based trainings on mathematical skills in elementary school , 2014, Advances in cognitive psychology.

[58]  D. Fum,et al.  Dissociable processes underlying decisions in the Iowa Gambling Task: a new integrative framework , 2009, Behavioral and Brain Functions.

[59]  Tzu-Chien Liu,et al.  The effects of integrating mobile devices with teaching and learning on students' learning performance: A meta-analysis and research synthesis , 2016, Comput. Educ..

[60]  S. Dehaene,et al.  An open trial assessment of "The Number Race", an adaptive computer game for remediation of dyscalculia , 2006, Behavioral and Brain Functions.

[61]  T. Klingberg,et al.  Behavior and neuroimaging at baseline predict individual response to combined mathematical and working memory training in children , 2016, Developmental Cognitive Neuroscience.

[62]  Francesco Avvisati Students, computers and learning : making the connection , 2015 .

[63]  Markus Gross,et al.  Design and evaluation of the computer-based training program Calcularis for enhancing numerical cognition , 2013, Front. Psychol..

[64]  M. von Aster,et al.  Number development and developmental dyscalculia , 2007, Developmental medicine and child neurology.

[65]  Monica Melby-Lervåg,et al.  Is working memory training effective? A meta-analytic review. , 2013, Developmental psychology.

[66]  Patricia Moyer-Packenham,et al.  Young Children's Use of Virtual Manipulatives and Other Forms of Mathematical Representations , 2005 .

[67]  E. Kroesbergen,et al.  Training working memory in kindergarten children: Effects on working memory and early numeracy , 2014, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[68]  Stanislas Dehaene,et al.  Effects of an Adaptive Game Intervention on Accessing Number Sense in Low-Socioeconomic-Status Kindergarten Children , 2009 .

[69]  Justin Halberda,et al.  Individual differences in non-verbal number acuity correlate with maths achievement , 2008, Nature.

[70]  Joni Holmes,et al.  Adaptive training leads to sustained enhancement of poor working memory in children. , 2009, Developmental science.

[71]  M. Oketch,et al.  Why are there proportionately more poor pupils enrolled in non-state schools in urban Kenya in spite of FPE policy? , 2010 .

[72]  Markus H. Gross,et al.  Modelling and Optimizing the Process of Learning Mathematics , 2012, ITS.

[73]  Julie L. Booth,et al.  Development of numerical estimation in young children. , 2004, Child development.

[74]  K. Kucian,et al.  Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study , 2006, Behavioral and Brain Functions.

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

[76]  T. Klingberg,et al.  Effect of working memory training on working memory, arithmetic and following instructions , 2014, Psychological Research.

[77]  Yanhong Zhang,et al.  A View Inside Primary Schools : A World Education Indicators (WEI) cross-national study , 2008 .

[78]  D. Ansari,et al.  Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading , 2016, PloS one.

[79]  Markus H. Gross,et al.  Modelling and Optimizing Mathematics Learning in Children , 2013, International Journal of Artificial Intelligence in Education.

[80]  J. Peters,et al.  Impacts of rural electrification in Rwanda , 2011, SSRN Electronic Journal.

[81]  Dénes Szűcs,et al.  A critical analysis of design, facts, bias and inference in the approximate number system training literature: A systematic review , 2017, Trends in Neuroscience and Education.

[82]  Paul Kim,et al.  A Comparative Analysis of a Game-Based Mobile Learning Model in Low-Socioeconomic Communities of India. , 2012 .