ERIC Number: EJ1150302
Record Type: Journal
Publication Date: 2017-Sep
Pages: 16
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: N/A
Students' Development of Structure Sense for the Distributive Law
Educational Studies in Mathematics, v96 n1 p17-32 Sep 2017
After being introduced to the distributive law in meaningful contexts, students need to extend its scope of application to unfamiliar expressions. In this article, a process model for the development of structure sense is developed. Building on this model, this article reports on a design research project in which exercise tasks support students in developing their structure sense for the distributive law by means of structural mappings and guiding examples. A design experiment was conducted in six groups, each consisting of two eighth graders. Two contrasting cases are qualitatively analyzed and compared in terms of the development of the students' structure sense for the distributive law. Theoretically, this article provides a development model for structure sense. Empirically, six characteristics of these development processes are reconstructed. Under certain conditions that are discussed in the end, the exercise tasks can help students to develop their structure sense for the distributive law.
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Design, Grade 8, Algebra, Multiplication, Addition
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 8; Junior High Schools; Middle Schools; Elementary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A