Abstract
This paper examines key issues involving the interaction, design and usability of a digital whiteboard interface to support Down syndrome (DS) students in their learning of addition and subtraction algorithms. The research goals include (a) to identify the main interaction difficulties present when executing addition and subtraction operations and (b) to improve the interaction design of the digital whiteboard interface to adapt it to DS characteristics. In order to achieve these goals, several studies (usability and educational) were conducted with experts and children. These methods and techniques included prototyping, questionnaires (pre-post), thinking out loud, video-recording and structured observation. As regards the interaction aspects with the whiteboard, the items evaluated included (a) mouse use, (b) placement of numbers and balls, (c) ball deletion and crossing out, (d) placement of the sign of the operation and (e) use of sensitive areas established in the worksheet. In addition, the paper presents the main strategies, procedures and errors of DS students for carrying out addition and subtraction algorithms that are more predominant in the DS population. Some relevant findings and results are presented, such as the importance of visual aids (graphics, balls, fingers, etc.) in teaching addition and subtraction to individuals with DS, the advantages of using the whiteboard for students who have difficulty writing, as they can focus on the operation at hand and forget their difficulties with handwriting, or mathematical errors arising from interaction issues.



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References
National Association for Down Syndrome. Facts about Down syndrome. http://www.nads.org/pages_new/facts.html (2008). Accessed 25 Dec 2012
Black, B., Wood, A.: Utilising information communication technology to assist the education of individuals with Down syndrome. Down syndrome Issues and Information (2003)
Kirijian, A., Myers, M.: Web fun central: online learning tools for individuals with Down syndrome. In: Lazar, J. (ed.) Universal Usability: Design Computer Interfaces for Diverse Users, pp. 195–230. Wiley, Chichester (2007)
Wishart, J.G.: Learning in young children with Down’s syndrome: developmental trends. In: Rondal, J.A., Perera, J., Nadel, L., Comblain, A. (eds.) Down’s Syndrome Psychological Psychobiological and Socio-Educational Perspectives, pp. 81–96. Whurr, London (1996)
Belmont, J.M.: Medical-behavioral research in retardation. In: Ellis, N.R. (ed.) International Review of Research in Mental Retardation, pp. 181–196. Academic Press, New York (1971)
Gibson, D.: Down Syndrome: The Psychology of Mongolism. Cambridge University Press, Cambridge (1978)
McDade, H., Adler, S.: Down syndrome and short-term memory impairment. Storage or retrieval deficit? Am. J. Ment. Defic. 84, 561–567 (1980)
Hu, R., Feng, J., Lazar, J., Kumin, L.: Investigating input technologies for children and young adults with Down syndrome. J. Univers. Access. Inf. Soc. (2011). doi:10.1007/s10209-011-0267-3
Buckley, S.: Teaching numeracy. Down Syndr. Res. Pract. 12(1), 11–14 (2007)
Lazar, J., Kumin, L., Feng, J.: Understanding the Computer Skills of Adult Expert Users with Down Syndrome: An Exploratory Study. Proceedings of the ACM 2011 Conference on Assistive Technology (ASSETS), pp 51–58 (2011)
Bruno, A. Noda, A.: Necesidades educativas especiales en matemáticas. El caso de personas con síndrome de Down. En Moreno, M.M., Estrada, A., Carrillo, J.Y., Sierra, T.A. (eds.). Investigación en Educación Matemática XIV (pp. 141–162). Lleida, SEIEM (2010)
González, C.S., Guerra D., Sanabria H., Noda N., Bruno A., Moreno L., Learning Mathematics in the Diversity: Play with Divermates. eUniverSALearning Congreso Internacional de Tecnología, Formación y Comunicación Actas del 1er Congreso Internacional. Salamanca (2007)
González, C.S., Guerra, D., Sanabria, H., Moreno, L., Noda, M.A., Bruno, A.: Automatic system for the detection and analysis of errors to support the personalized feedback. Expert Syst. Appl. 37(1), 140–148 (2010)
Gonzalez C.S., Moreno L., Aguilar R.M., Estévez J.I. Towards the Efficient Communication of Knowledge in an Adaptive Multimedia Interface. Proceedings de Interactive Learning Environments for Children. Workshop on Interactive Learning Environments for Children. Available in: http://ui4all.ics.forth.gr/i3SD2000/Gonzalez.PDF (2000)
Ginsburg, H. Learning to count. Computing with written numbers. Mistakes. In: Ginsburg, H., Children’s Arithmetic: How They Learn It and How You Teach It, pp. 1–29, 79–129. Pro-Ed. Austin, Texas (1977)
Brown, J.S., Van Lehn, K. Towards a generative theory of “bugs”. In Carpenter, T., Moser, J. Romberg, T. (eds.). Addition and Subtraction: A Cognitive Perspective, pp 117–135. LEA, New Jersey (1982)
Fiori, C., Zuccheri, L.: An experimental research on errors patterns in written subtraction. Educ. Stud. Math. Educ. 60, 323–331 (2005)
Roberts, G.H.: The failure strategies of third grade arithmetic’s pupils. Arith. Teach. 15, 442–446 (1968)
Cox, L.S.: Systematic errors in the four algorithms in normal and handicapped populations. J. Res. Math. Educ. 6(4), 202–220 (1975)
Carpenter, T., Fennema, E., Franke, M.L., Levi, L. Y., Empson, S.B. (1999). Children’s Mathematics. Cognitively Guided Instruction. Portsmouth, NH. Heinemann
Carpenter, T., Moser, J., The development of addition and subtraction problem-solving skills. En Carpenter, T., Moser, J, Romberg, T. (eds.). Addition and Subtraction: A Cognitive Perspective. LEA, New Jersey (1982)
Druin, A., Alborzi, H., Boltman, A., Cobb, S., Montemayor, J., Neale, H., Platner, M., Porteous, J., Sherman, L., Simsarian, K., Stanton, D., Sundblad, Y., Taxen, G.: Participatory design with children: Techniques, challenges, and successes. Proceedings of PDC 2000. New York: CPSR (2000)
Muller, M.J., Kuhn, S. (eds.). Communications of the ACM special issue on participatory design, 36(6) (1993)
Stephanidis, C. et al. Universal accessibility in HCI: Process oriented design guidelines and tool requirements. Available in: http://ui4all.ics.forth.gr/UI4ALL-98/stephanidis1.pdf (1998). Retrieved December 30th 2012
Stephanidis, C. (ed) (2001) User Interfaces for all—Concepts, Methods And Tools. Lawrence Erlbaum Associates, Mahwah, NJ. ISBN 0-8058-2967-9
Nielsen, J.: Alternative Interfaces for Accessibility. Alertbox, 7 de Abril de 2003. Available in: http://www.useit.com/alertbox/20030407.html (2003). Retrieved December 30th 2012
Lazar, J. (ed.) Universal Usability: Designing Computer Interfaces for Diverse User Populations. Wiley, Chichester
Center for Universal Design. Guidelines for Use of the Principles of Universal Design. Available in: http://www.ncsu.edu/www/ncsu/design/sod5/cud/about_ud/udprinciples.htm (2002). Retrieved December 30th, 2012
Steven P.D., Julie F., Dan S., Beth A., Daniel L.S., Scott R.K.: Prototyping dynamics: sharing multiple designs improves exploration, group rapport, and results. In CHI: ACM Conference on Human Factors in Computing Systems, 2011. Available online: http://hci.stanford.edu/publications/2011/PrototypingDynamics/PrototypingDynamics-CHI2011.pdf (2011). Accessed 25 December 2012
Jakob Nielsen’s Group. A/B Testing, Usability Engineering, Radical Innovation: What Pays Best? Available online: http://www.nngroup.com/articles/ab-testing-usability-engineering/ (2012). Accessed 25 December 2012
Nielsen, J.: Usability Engineering. AP Professional (1993)
Kumin, L., Lazar, J., Feng, J., Wentz, B., Ekedebe, N.: Usability evaluation of workplace-related tasks on a multi-touch tablet computer by adults with down syndrome. J. Usability Stud. 7(4), 118–142 (2012)
Fitts, P.M., Switzer, G.: Cognitive aspects of information processing. I. The familiarity of S-R sets and subsets. J. Exp. Psychol. 63, 321–329 (1962)
Gelman, R.: The child’s understanding of number. Harvard University Press, Cambridge, MA (1978)
Acknowledgments
This work has been supported by the EDU2011-29324: “Formal Models and cognitive competence in numerical and algebraic thinking students of primary, secondary and primary teachers in training” of the Ministry of Science and Innovation (Spain).
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González, C., Noda, A., Bruno, A. et al. Learning subtraction and addition through digital boards: a Down syndrome case. Univ Access Inf Soc 14, 29–44 (2015). https://doi.org/10.1007/s10209-013-0330-3
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DOI: https://doi.org/10.1007/s10209-013-0330-3