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Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers
Abstract
This study investigated middle school students understanding of unit and unitization concepts in
measurement interpretations of rational numbers using the number line as a tool. Fifty-six seventh-grade students
were pretested and five consecutive whole-class teaching experiments were developed and administered based on
pretest results. Five students were later chosen for semi-structured clinical interviews, based on their conceptions of
unit and unitization. Students’ reasoning was induced from the analysis of pre- and post-tests, observations of
classroom teaching episodes, videotapes of interviews, and transcriptions and photographs of student artifacts.
Results suggested that unit identification created difficulty for students in locating rational numbers on number lines.
Keywords
Kaynakça
- Behr, M., Lesh, R., Post, T., & Silver E. (1983). Rational number concepts. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 91-125). New York: Academic Press.
- Behr, M., Wachsmuth, I., Post T., & Lesh R. (1984). Order and equivalence of rational numbers: A clinical teaching experiment. Journal for Research in Mathematics Education, 15(5), 323-341.
- Behr, M., Wachsmuth, I., & Post, T. (1985). Construct a sum: A measure of children's understanding of fraction size. Journal for Research in Mathematics Education, 16(2), 120-131.
- Behr, M., Harel, G., Post, T., Lesh, R. (1992). Rational number, ratio and proportion. In D.Grouws (Eds.), Handbook of research on mathematics teaching and learning (pp. 296-333). New York: McMillan Publishing.
- Bright, G., Behr, M., Post, T., & Wachsmuth, I. (1988, May).Identifying fractions on number lines. Journal for Research in Mathematics Education., 19(3), 215-232
- Hiebert J., & Tonnessen, L., (1978). Development of the fraction concept in two physical contexts: An exploratory investigation. Journal for Research Mathematics Education 9(5), 374-378.
- Kieren, T.E. (1980). The rational number construct: Its elements and mechanisms. In T.E. Kieren (Eds.), Recent research on number learning (pp. 125- 150). ERIC/SMEAC, Columbus, OH.
- Kieren, T.E. (1976). On the mathematical, cognitive, and instructional foundations of rational numbers. In R. Lesh (Eds.), Number and measurement (pp. 101-150). ERIC/SMEAC, Columbus, OH.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
26 Haziran 2008
Gönderilme Tarihi
26 Haziran 2008
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2008 Cilt: 7 Sayı: 3
APA
Yanik, H. B., Flores, B. H. A., & Flores, A. (2008). Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers. İlköğretim Online, 7(3), 693-705. https://izlik.org/JA86MK38FF
AMA
1.Yanik HB, Flores BHA, Flores A. Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers. İOO. 2008;7(3):693-705. https://izlik.org/JA86MK38FF
Chicago
Yanik, H. Bahadir, Brandon Helding ve Alfinio Flores, ve Alfinio Flores. 2008. “Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers”. İlköğretim Online 7 (3): 693-705. https://izlik.org/JA86MK38FF.
EndNote
Yanik HB, Flores BHA, Flores A (01 Eylül 2008) Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers. İlköğretim Online 7 3 693–705.
IEEE
[1]H. B. Yanik, B. H. A. Flores, ve A. Flores, “Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers”, İOO, c. 7, sy 3, ss. 693–705, Eyl. 2008, [çevrimiçi]. Erişim adresi: https://izlik.org/JA86MK38FF
ISNAD
Yanik, H. Bahadir - Flores, Brandon Helding ve Alfinio - Flores, Alfinio. “Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers”. İlköğretim Online 7/3 (01 Eylül 2008): 693-705. https://izlik.org/JA86MK38FF.
JAMA
1.Yanik HB, Flores BHA, Flores A. Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers. İOO. 2008;7:693–705.
MLA
Yanik, H. Bahadir, vd. “Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers”. İlköğretim Online, c. 7, sy 3, Eylül 2008, ss. 693-05, https://izlik.org/JA86MK38FF.
Vancouver
1.H. Bahadir Yanik, Brandon Helding ve Alfinio Flores, Alfinio Flores. Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers. İOO [Internet]. 01 Eylül 2008;7(3):693-705. Erişim adresi: https://izlik.org/JA86MK38FF