دورية أكاديمية

Why Is Paper-and-Pencil Multiplication Difficult for Many People?

التفاصيل البيبلوغرافية
العنوان: Why Is Paper-and-Pencil Multiplication Difficult for Many People?
اللغة: English
المؤلفون: Speiser, Robert, Schneps, Matthew H., Heffner-Wong, Amanda, Miller, Jaimie L., Sonnert, Gerhard
المصدر: Journal of Mathematical Behavior. Dec 2012 31(4):463-475.
الإتاحة: Elsevier. 6277 Sea Harbor Drive, Orlando, FL 32887-4800. Tel: 877-839-7126; Tel: 407-345-4020; Fax: 407-363-1354; e-mail: usjcs@elsevier.com; Web site: http://www.elsevier.com
Peer Reviewed: Y
Page Count: 13
تاريخ النشر: 2012
نوع الوثيقة: Journal Articles
Reports - Research
Education Level: Elementary Secondary Education
Descriptors: Evidence, Mathematics, Urban Schools, Short Term Memory, Difficulty Level, Mental Computation, Neuropsychology, Mathematical Formulas, Instructional Innovation, Educational Strategies, Learning Strategies, Multiplication, Problem Solving, Teaching Methods
مصطلحات جغرافية: United States
DOI: 10.1016/j.jmathb.2012.08.001
تدمد: 0732-3123
مستخلص: In school, at least in the US, we were taught to multiply by hand according to a standard algorithm. Most people find that algorithm difficult to use, and many children fail to learn it. We propose a new way to make sense of this difficulty: to treat explicit computation as perceptually supported physical and mental action. Based on recent work in neuroscience, we trace the flow of arithmetic information to emphasize demands on visual working memory and attention. We predict that algorithms that make moderate demands on memory and attention will work better than others that make stronger demands. We suggest that the judicious use of spatial schemas can reduce such cognitive demands. Experimental evidence from children in an inner-city school supports this claim. Our work suggests new ways to think about instruction. The goal should be to minimize demands that present obstacles and maximize instead what human eyes, bodies, and brains do well. (Contains 7 figures and 2 tables.)
Abstractor: As Provided
Entry Date: 2012
رقم الأكسشن: EJ983360
قاعدة البيانات: ERIC
الوصف
تدمد:0732-3123
DOI:10.1016/j.jmathb.2012.08.001