The role of prediction in the teaching and learning of mathematics

被引:16
|
作者
Lim, Kien H. [1 ]
Buendia, Gabriela [2 ]
Kim, Ok-Kyeong [3 ]
Cordero, Francisco [4 ]
Kasmer, Lisa [5 ]
机构
[1] Univ Texas El Paso, Dept Math Sci, 500 West Univ Ave, El Paso, TX 79968 USA
[2] Ctr Invest Ciencia Aplicada & Tecnol Avanzada, Programa Matemat Educ, Mexico City 29050, DF, Mexico
[3] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA
[4] IPN, Ctr Invest & Estudios Avanzados, Dept Matemat Educat, Mexico City 07360, DF, Mexico
[5] Auburn Univ, Dept Curriculum & Teaching, Auburn, AL 36849 USA
关键词
prediction; mental act; reasoning; learning; thinking; mathematical activity; socio-epistemological practice; mathematical tasks;
D O I
10.1080/00207391003605239
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students' prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one's prediction, (2) prediction as a mathematical activity highlights the spectrum of prediction tasks that are common in mathematics curricula and (3) prediction as a socio-epistemological practice highlights the construction of mathematical knowledge in classrooms. Each perspective supports the claim that prediction when used effectively can foster mathematical learning. Considerations for supporting the use of prediction in mathematics classrooms are offered.
引用
收藏
页码:595 / 608
页数:14
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