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http://dx.doi.org/10.7468/mathedu.2014.53.1.57

An analysis of the connections of mathematical thinking for multiplicative structures by second, fourth, and sixth graders  

Kim, YuKyung (Chilbo Elementary school)
Pang, JeongSuk (Korea National University of Education)
Publication Information
The Mathematical Education / v.53, no.1, 2014 , pp. 57-73 More about this Journal
Abstract
This study investigated the connections of mathematical thinking of students at the second, fourth, and sixth grades with regard to multiplication, fraction, and proportion, all of which have multiplicative structures. A paper-and-pencil test and subsequent interviews were conducted. The results showed that mathematical thinking including vertical thinking and relational thinking was commonly involved in multiplication, fraction, and proportion. On one hand, the insufficient understanding of preceding concepts had negative impact on learning subsequent concepts. On the other hand, learning the succeeding concepts helped students solve the problems related to the preceding concepts. By analyzing the connections between the preceding concepts and the succeeding concepts, this study provides instructional implications of teaching multiplication, fraction, and proportion.
Keywords
multiplicative structure; multiplicative thinking; mathematical connection; times;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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