Number Line Estimations, Place Value Understanding and Mathematics Achievement

Authors : Mehmet Hayri SARI, Sinan OLKUN

Pages : 37-47

Doi:10.30786/jef.729843

View : 36 | Download : 10

Publication Date : 2021-01-25

Article Type : Research Paper

Abstract :Current study investigated the relationships among mathematics achievement, place value understanding and number line estimations. We used a curriculum-based math achievement test insert ignore into journalissuearticles values(MAT, Mathematics Achievement Test);, a place value test insert ignore into journalissuearticles values(PVT);, and a mental number line estimation test insert ignore into journalissuearticles values(MNL); as the data collection tools. A total of 355 fourth graders participated in the study. They were recruited from schools located in middle-low socioeconomic areas of central Anatolia. Correlations were statistically significant among all these tests scores insert ignore into journalissuearticles values(MAT, PVT, MNL);. The highest correlation was obtained between PVT and MAT scores. PVT have also stronger correlations with MNL insert ignore into journalissuearticles values(0-1000);. The average scores of MAT and MNL tests were correlated inversely as expected. The correlations between mathematics achievement scores and MNL insert ignore into journalissuearticles values(0-1000); was highest. The three MNL tests alltogether have explained 40% of the variance in MAT. Similar to PVT, MNL insert ignore into journalissuearticles values(0-1000); alone accounted for 36% of the variance in MAT. Meanwhile, MNL insert ignore into journalissuearticles values(0-1000); insert ignore into journalissuearticles values(large numbers); contributed MAT more. PVT explained 70% of the variance in MAT. In all tests, PVT contributed more to MAT. Generally, boys did better in all MNL tests but only the result of MNL insert ignore into journalissuearticles values(0-1000); was significant favoring boys. We can conclude, based on these results that both approximate number acuity and place value understanding contribute to the general math achievement as well as each other. While the place value concept seems to be a representational tool that enhence the acuity of approximate numbers, the relative magnitudes of numbers support place value understanding conceptually.
Keywords : Number sense, mental number line, math achievement, place value

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