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ERIC Number: EJ1088326
Record Type: Journal
Publication Date: 2016
Pages: 24
Abstractor: As Provided
ISSN: ISSN-1098-6065
Opportunities to Learn: Inverse Relations in U.S. and Chinese Textbooks
Ding, Meixia
Mathematical Thinking and Learning: An International Journal, v18 n1 p45-68 2016
This study, focusing on inverse relations, examines how representative U.S. and Chinese elementary textbooks may provide opportunities to learn fundamental mathematical ideas. Findings from this study indicate that both of the U.S. textbook series (grades K-6) in comparison to the Chinese textbook samples (grades 1-6), presented more instances of inverse relations, while also containing more unique types of problems; yet, the Chinese textbooks provided more opportunities supporting meaningful and explicit learning. In particular, before presenting corresponding practice problems, Chinese textbooks contextualized worked examples of inverse relations in real-world situations to aid in sense making of computational or checking procedures. The Chinese worked examples also differed in representation uses especially through concreteness fading. Finally, the Chinese textbooks spaced learning over time, systematically stressing structural relations including the inverse quantities relationships. These findings shed light on ways to support students' meaningful and explicit learning of fundamental mathematical ideas in elementary school.
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Identifiers - Location: China; United States
Grant or Contract Numbers: 1350068