Factors Associated With Children’s Understanding of Mathematical Equivalence: An Investigation Across Six Countries


Simsek E., Xenidou-Dervou I., Hunter J., Dowens M. G., Pang J., Lee Y., ...Daha Fazla

Journal of Educational Psychology, cilt.114, sa.6, ss.1359-1379, 2022 (SSCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 114 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1037/edu0000747
  • Dergi Adı: Journal of Educational Psychology
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus, Academic Search Premier, IBZ Online, PASCAL, Periodicals Index Online, Applied Science & Technology Source, Child Development & Adolescent Studies, Communication Abstracts, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center), Gender Studies Database, Linguistics & Language Behavior Abstracts, MLA - Modern Language Association Database, Psycinfo, DIALNET
  • Sayfa Sayıları: ss.1359-1379
  • Anahtar Kelimeler: Mathematical equivalence, Multilevel sem, Teacher knowledge, Textbooks, The equals sign
  • TED Üniversitesi Adresli: Hayır

Özet

Many primary school students have difficulties understanding mathematical equivalence with considerably poorer performance in some countries than in others. However, students’ formal understanding of equivalence has significant and long-lasting effects, as it predicts arithmetic and algebra achievement throughout school years. Currently, little is known about the factors influencing students’ understanding of mathematical equivalence particularly across different countries. We have conducted the first largescale study to explore the factors associated with primary school students’ understanding of mathematical equivalence across six countries (China, England, New Zealand, South Korea, Turkiye, and the United States). Participants were 2,760 primary school students and their teachers (N = 108). Using multilevel structural equation modeling, we found that students’ knowledge of definitions of the equals sign relates to their equation-solving performance. We also found that while teachers’ knowledge of students’ relational strategies does relate to students’ understanding of equivalence, teachers’ knowledge of students’ operational strategies, and the format of arithmetic practice presented in the students’ current year textbooks do not. Using England as the reference country, we found that this pattern was similar across the samples from all the participating countries. Taken together, our findings have important theoretical and practical implications, providing a more complete picture of the individual and classroomlevel factors associated with students’ understanding of equivalence