Prospective teachers' responses to students' dialogue on fractions: attribute substitution and heuristic approaches

被引:9
作者
Bergman, Anna Marie [1 ]
Gallagher, Keith [2 ]
Zazkis, Rina [3 ]
机构
[1] Simon Fraser Univ, Fac Educ, 8888 Univ Dr, Burnaby, BC V5A 1S6, Canada
[2] Univ Nebraska, Math, Omaha, NE 68182 USA
[3] Simon Fraser Univ, Educ, Burnaby, BC, Canada
关键词
Fractions; attribute substitution; scriptwriting; RATIONAL NUMBERS; AVAILABILITY; PROBABILITY; JUDGMENT;
D O I
10.1080/14794802.2021.2020155
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
Knowing how best to respond to students' mathematical inquiries is an important skill for all teachers to develop. A class of pre-service teachers (PSTs) was presented with a scripting task in which a student conjectured that 1/6.5 was "exactly in between" fractions 1/6 and 1/7. However, instead of addressing the student's inquiry directly, many of the PST's responses contained a variety of explanations for more general information about fractions and their various representations. We offer a classification of the responses using the ideas of attribute substitution along with the availability and representativeness heuristics.
引用
收藏
页码:85 / 104
页数:20
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