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ERIC Number: EJ1327520
Record Type: Journal
Publication Date: 2021
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-1306-3030
EISSN: N/A
Validation of a Model of Sustainable Place Value Understanding in Turkey
Sari, Mehmet Hayri; Herzog, Moritz; Olkun, Sinan; Fritz, Annemarie
International Electronic Journal of Mathematics Education, v16 n3 Article em0659 2021
Research has shown that a profound place value understanding is crucial for success in learning mathematics. At the same time, a substantial number of students struggles with developing a sustainable place value understanding. In this regard, two aspects of the place value system appear especially relevant: First, the knowledge of the decimal structure of numbers, and second, the relation between the bundling units. To support teaching place value understanding, a developmental model of place value understanding focusing on both aspects has been constructed and validated in Germany. The model comprises five levels of place value understanding that build upon each other hierarchically. This study aims at validating the level hierarchy in Turkey to prepare the usage of the developmental model as learning trajectory for Turkish primary schools. N=437 Turkish students from Grades 2 through 4 completed a translated version of the item collection of the German validation study as well as a Turkish place value test that is not based on a developmental model. In a Rasch analysis, most items of the translated item collection showed item difficulties as predicted by the model. In a regression analysis, item difficulties were well predicted by their allocation within the level hierarchy, while other item characteristics did not inform about the item difficulties. Substantial correlations between the translated item collection and the Turkish test underpin the claim that the model is appropriate to assess Turkish students' place value understanding as well as structuring place value instruction in Turkish primary schools.
International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Publication Type: Journal Articles; Reports - Research
Education Level: Early Childhood Education; Elementary Education; Grade 2; Primary Education; Grade 3; Grade 4; Intermediate Grades
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Turkey; Germany; South Africa
Grant or Contract Numbers: N/A