Fuchs Lynn S, Seethaler Pamela M, Powell Sarah R, Fuchs Douglas, Hamlett Carol L, Fletcher Jack M
Except Child. 2008 Winter;74(2):155-173. doi: 10.1177/001440290807400202.
This study assessed the effects of preventative tutoring on the math problem solving of third-grade students with math and reading difficulties. Students (n = 35) were assigned randomly to continue in their general education math program or to receive secondary preventative tutoring 3 times per week, 30 min per session, for 12 weeks. Schema-broadening tutoring taught students to (a) focus on the mathematical structure of 3 problem types; (b) recognize problems as belonging to those 3 problem-type schemas; (c) solve the 3 word-problem types; and (d) transfer solution methods to problems that include irrelevant information, 2-digit operands, missing information in the first or second positions in the algebraic equation, or relevant information in charts, graphs, and pictures. Also, students were taught to perform the calculation and algebraic skills foundational for problem solving. Analyses of variance revealed statistically significant effects on a wide range of word problems, with large effect sizes. Findings support the efficacy of the tutoring protocol for preventing word-problem deficits among third-grade students with math and reading deficits.
本研究评估了预防性辅导对有数学和阅读困难的三年级学生解决数学问题能力的影响。学生(n = 35)被随机分配,要么继续参加普通教育数学课程,要么接受每周3次、每次30分钟、为期12周的二级预防性辅导。拓展图式辅导教会学生:(a)关注3种问题类型的数学结构;(b)识别属于这3种问题类型图式的问题;(c)解决这3种文字问题类型;(d)将解决方法应用于包含无关信息、两位数运算数、代数方程中首位或第二位缺失信息,或图表、图形和图片中的相关信息的问题。此外,还教会学生掌握解决问题所需的计算和代数技能。方差分析显示,对各种文字问题有统计学上的显著影响,效应量较大。研究结果支持了该辅导方案在预防有数学和阅读缺陷的三年级学生文字问题缺陷方面的有效性。