Wilson Anna J, Dehaene Stanislas, Pinel Philippe, Revkin Susannah K, Cohen Laurent, Cohen David
INSERM-CEA Unit 562 Cognitive Neuroimaging, Service Hospitalier Frédéric Joliot, CEA-DRM-DSV, 91401 Orsay, France.
Behav Brain Funct. 2006 May 30;2:19. doi: 10.1186/1744-9081-2-19.
Adaptive game software has been successful in remediation of dyslexia. Here we describe the cognitive and algorithmic principles underlying the development of similar software for dyscalculia. Our software is based on current understanding of the cerebral representation of number and the hypotheses that dyscalculia is due to a "core deficit" in number sense or in the link between number sense and symbolic number representations.
"The Number Race" software trains children on an entertaining numerical comparison task, by presenting problems adapted to the performance level of the individual child. We report full mathematical specifications of the algorithm used, which relies on an internal model of the child's knowledge in a multidimensional "learning space" consisting of three difficulty dimensions: numerical distance, response deadline, and conceptual complexity (from non-symbolic numerosity processing to increasingly complex symbolic operations).
The performance of the software was evaluated both by mathematical simulations and by five weeks of use by nine children with mathematical learning difficulties. The results indicate that the software adapts well to varying levels of initial knowledge and learning speeds. Feedback from children, parents and teachers was positive. A companion article describes the evolution of number sense and arithmetic scores before and after training.
The software, open-source and freely available online, is designed for learning disabled children aged 5-8, and may also be useful for general instruction of normal preschool children. The learning algorithm reported is highly general, and may be applied in other domains.
自适应游戏软件已成功用于阅读障碍的矫正。在此,我们描述用于开发类似的计算障碍软件的认知和算法原理。我们的软件基于对数字的大脑表征的当前理解以及关于计算障碍是由于数感或数感与符号数字表征之间的联系存在“核心缺陷”的假设。
“数字竞赛”软件通过呈现适合每个孩子表现水平的问题,在一项有趣的数字比较任务中训练儿童。我们报告了所使用算法的完整数学规范,该算法依赖于在一个由三个难度维度组成的多维“学习空间”中儿童知识的内部模型:数字距离、响应期限和概念复杂性(从非符号数量处理到日益复杂的符号运算)。
通过数学模拟以及九名有数学学习困难的儿童使用五周对软件性能进行了评估。结果表明该软件能很好地适应不同水平的初始知识和学习速度。来自儿童、家长和教师的反馈是积极的。一篇配套文章描述了训练前后数感和算术成绩的变化。
该软件是开源的且可在网上免费获取,专为5至8岁的学习障碍儿童设计,对正常学龄前儿童的常规教学可能也有用。所报告的学习算法具有高度通用性,可应用于其他领域。