Research Article
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Year 2019, , 1159 - 1173, 15.12.2019
https://doi.org/10.17478/jegys.631567

Abstract

References

  • Bailey, D. H., Siegler, R. S., & Geary, D. C. (2014). Early predictors of middle school fraction knowledge. Developmental Science, 17(5), 775–785. https://doi.org/10.1111/desc.12155
  • Chapin, S. H., & Johnson, A. (2006). Math Matters: Understanding The Math You Teach Grade K-8 (Second Edition). Math Solution Publication.
  • Charalambous, C. Y., & Pitta-Pantazi, D. (2005). Revisiting A Theoretical Model On Fractions: Implications for Teaching and Research. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, 233–240.
  • Charalambous, C. Y., & Pitta-Pantazi, D. (2007). Drawing On A Theoretical Model to Study Students’ Understanding of Fractions. Educational Studies in Mathematics, 64(3), 293–316.
  • Doyle, K. M. (2016). The Rational Number Sub-Constructs as a Foundation for Problem Solving. Problem Solving, 11, 22.
  • Ghani, S. N. A., & Maat, S. M. (2018). Misconception of Fraction among Middle Grade Year Four Pupils at Primary School. 2(1), 15.
  • Huda, S., Sholikhakh, R. A., Bina, N. S., Lestari, F., Habibi, B., & Suharso, P. (2019). Effect of Application Smart Circuit Learning Media to Mathematics Learning Outcomes: A Case Study of Junior High School Students. Journal for the Education of Gifted Young Scientists, 7(3), 745–761. https://doi.org/10.17478/jegys.597053
  • Jannah, A. F., & Prahmana, R. C. I. (2019). Learning Fraction using the Context of Pipettes for Seventh-Grade Deaf-Mute Student. Journal for the Education of Gifted Young Scientists, 7(2), 299–321. https://doi.org/10.17478/jegys.576234
  • Kolar, V. M., Hodnik Čadež, T., & Vula, E. (2018). Primary Teacher Students’ Understanding of Fraction Representational Knowledge in Slovenia and Kosovo. Center for Educational Policy Studies Journal, 8(2), 71. https://doi.org/10.26529/cepsj.342
  • Lamon, S. (2012). Teaching fractions and ratios for understanding. New York : Taylor & Francis. Lazić, B., Abramovich, S., Mrđa, M., & Romano, D. A. (2017). On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. 12 (3), 749–767.
  • Makonye, J. P., & Fakude, J. (2016). A Study of Errors and Misconceptions in the Learning of Addition and Subtraction of Directed Numbers in Grade 8. SAGE Open, 6(4), 215824401667137. https://doi.org/10.1177/2158244016671375
  • Mamede, E., Nunes, T., & Bryant, P. (2005). The Equivalence and Ordering of Fraction in Part-Whole and Quotient Situation. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, Pp. 281-288. Melbourne: PME.
  • Mohyuddin, R. G., & Khalil, U. (2016). Misconceptions of Students in Learning Mathematics at Primary Level. Bulletin of Education and Research, 38(1), 133–162.
  • Naiser, E. A., Wright, W. E., & Capraro, R. M. (2003). Teaching Fractions: Strategies Used for Teaching Fractions to Middle Grades Students. Journal of Research in Childhood Education, 18(3), 193–198. https://doi.org/10.1080/02568540409595034
  • Nakamura, A. (2014). Hierarchy Construction of Mathematical Knowledge. Lecture Notes on Information Theory. https://doi.org/10.12720/lnit.2.2.203-207
  • Ojose, B. (2015). Students’ Misconceptions in Mathematics: Analysis of Remedies and What Research Says. 72(72), 5.
  • Resnick, I., Jordan, N. C., Hansen, N., Rajan, V., Rodrigues, J., Siegler, R. S., & Fuchs, L. S. (2016). Developmental growth trajectories in understanding of fraction magnitude from fourth through sixth grade. Developmental Psychology, 52(5), 746–757. https://doi.org/10.1037/dev0000102
  • Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding Students’ Mathematical Errors and Misconceptions: The Case of Year 11 Repeating Students. Mathematics Education Trends and Research, 2014, 1–10. https://doi.org/10.5899/2014/metr-00051
  • Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., Engel, M., Chen, M. (2012). Early Predictors of High School Mathematics Achievement. Psychological Science, 23(7), 691–697. https://doi.org/10.1177/0956797612440101
  • Simon, M. A., Placa, N., Avitzur, A., & Kara, M. (2018). Promoting a concept of fraction-as-measure: A study of the Learning Through Activity research program. The Journal of Mathematical Behavior, 52, 122–133. https://doi.org/10.1016/j.jmathb.2018.03.004
  • Wijaya, A. (2017). The Relationships between Indonesian Fourth Graders’ Difficulties in Fractions and the Opportunity to Learn Fractions: A Snapshot of TIMSS Results. International Journal of Instruction, 10(4), 221–236. https://doi.org/10.12973/iji.2017.10413a

Misconception Analysis of Junior High School Student in Interpreting Fraction

Year 2019, , 1159 - 1173, 15.12.2019
https://doi.org/10.17478/jegys.631567

Abstract

Interpretation of fraction is
the basis of meaningful fraction learning. Students' misconceptions in
interpreting fractions can be obstacles for students to understand further
mathematical concepts. The purpose of this study is to identify students'
misconceptions in interpreting fractions. This research usedcontent
analysismethode. The participants of this study were 63 students (32 female, 31
male) in one junior high school in Bengkulu City, Indonesia. This research
participant has just studied the topic of fractions. Data collection was
carried out by giving tests to 63 participants, and interviews with 6 students
to obtain more comprehensive information. The questions asked in interview are
based on students' answers on the previous test. The selection of students
interviewed was done by purposive sampling. The results showed that students
experienced misconceptions in interpreting fractions as part of whole, as
quotient, as ratios, as operators, and as measures. Based on the results of the
interview, the misconception occurred because students experienced limited
context in recognizing fractions. 













References

  • Bailey, D. H., Siegler, R. S., & Geary, D. C. (2014). Early predictors of middle school fraction knowledge. Developmental Science, 17(5), 775–785. https://doi.org/10.1111/desc.12155
  • Chapin, S. H., & Johnson, A. (2006). Math Matters: Understanding The Math You Teach Grade K-8 (Second Edition). Math Solution Publication.
  • Charalambous, C. Y., & Pitta-Pantazi, D. (2005). Revisiting A Theoretical Model On Fractions: Implications for Teaching and Research. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, 233–240.
  • Charalambous, C. Y., & Pitta-Pantazi, D. (2007). Drawing On A Theoretical Model to Study Students’ Understanding of Fractions. Educational Studies in Mathematics, 64(3), 293–316.
  • Doyle, K. M. (2016). The Rational Number Sub-Constructs as a Foundation for Problem Solving. Problem Solving, 11, 22.
  • Ghani, S. N. A., & Maat, S. M. (2018). Misconception of Fraction among Middle Grade Year Four Pupils at Primary School. 2(1), 15.
  • Huda, S., Sholikhakh, R. A., Bina, N. S., Lestari, F., Habibi, B., & Suharso, P. (2019). Effect of Application Smart Circuit Learning Media to Mathematics Learning Outcomes: A Case Study of Junior High School Students. Journal for the Education of Gifted Young Scientists, 7(3), 745–761. https://doi.org/10.17478/jegys.597053
  • Jannah, A. F., & Prahmana, R. C. I. (2019). Learning Fraction using the Context of Pipettes for Seventh-Grade Deaf-Mute Student. Journal for the Education of Gifted Young Scientists, 7(2), 299–321. https://doi.org/10.17478/jegys.576234
  • Kolar, V. M., Hodnik Čadež, T., & Vula, E. (2018). Primary Teacher Students’ Understanding of Fraction Representational Knowledge in Slovenia and Kosovo. Center for Educational Policy Studies Journal, 8(2), 71. https://doi.org/10.26529/cepsj.342
  • Lamon, S. (2012). Teaching fractions and ratios for understanding. New York : Taylor & Francis. Lazić, B., Abramovich, S., Mrđa, M., & Romano, D. A. (2017). On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. 12 (3), 749–767.
  • Makonye, J. P., & Fakude, J. (2016). A Study of Errors and Misconceptions in the Learning of Addition and Subtraction of Directed Numbers in Grade 8. SAGE Open, 6(4), 215824401667137. https://doi.org/10.1177/2158244016671375
  • Mamede, E., Nunes, T., & Bryant, P. (2005). The Equivalence and Ordering of Fraction in Part-Whole and Quotient Situation. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, Pp. 281-288. Melbourne: PME.
  • Mohyuddin, R. G., & Khalil, U. (2016). Misconceptions of Students in Learning Mathematics at Primary Level. Bulletin of Education and Research, 38(1), 133–162.
  • Naiser, E. A., Wright, W. E., & Capraro, R. M. (2003). Teaching Fractions: Strategies Used for Teaching Fractions to Middle Grades Students. Journal of Research in Childhood Education, 18(3), 193–198. https://doi.org/10.1080/02568540409595034
  • Nakamura, A. (2014). Hierarchy Construction of Mathematical Knowledge. Lecture Notes on Information Theory. https://doi.org/10.12720/lnit.2.2.203-207
  • Ojose, B. (2015). Students’ Misconceptions in Mathematics: Analysis of Remedies and What Research Says. 72(72), 5.
  • Resnick, I., Jordan, N. C., Hansen, N., Rajan, V., Rodrigues, J., Siegler, R. S., & Fuchs, L. S. (2016). Developmental growth trajectories in understanding of fraction magnitude from fourth through sixth grade. Developmental Psychology, 52(5), 746–757. https://doi.org/10.1037/dev0000102
  • Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding Students’ Mathematical Errors and Misconceptions: The Case of Year 11 Repeating Students. Mathematics Education Trends and Research, 2014, 1–10. https://doi.org/10.5899/2014/metr-00051
  • Siegler, R. S., Duncan, G. J., Davis-Kean, P. E., Duckworth, K., Claessens, A., Engel, M., Chen, M. (2012). Early Predictors of High School Mathematics Achievement. Psychological Science, 23(7), 691–697. https://doi.org/10.1177/0956797612440101
  • Simon, M. A., Placa, N., Avitzur, A., & Kara, M. (2018). Promoting a concept of fraction-as-measure: A study of the Learning Through Activity research program. The Journal of Mathematical Behavior, 52, 122–133. https://doi.org/10.1016/j.jmathb.2018.03.004
  • Wijaya, A. (2017). The Relationships between Indonesian Fourth Graders’ Difficulties in Fractions and the Opportunity to Learn Fractions: A Snapshot of TIMSS Results. International Journal of Instruction, 10(4), 221–236. https://doi.org/10.12973/iji.2017.10413a
There are 21 citations in total.

Details

Primary Language English
Subjects Studies on Education
Journal Section Differentiated Instruction
Authors

Winda Ramadianti 0000-0001-9840-1192

Nanang Priatna This is me 0000-0003-2294-745X

Kusnandi Kusnandi This is me 0000-0002-8900-4563

Publication Date December 15, 2019
Published in Issue Year 2019

Cite

APA Ramadianti, W., Priatna, N., & Kusnandi, K. (2019). Misconception Analysis of Junior High School Student in Interpreting Fraction. Journal for the Education of Gifted Young Scientists, 7(4), 1159-1173. https://doi.org/10.17478/jegys.631567
AMA Ramadianti W, Priatna N, Kusnandi K. Misconception Analysis of Junior High School Student in Interpreting Fraction. JEGYS. December 2019;7(4):1159-1173. doi:10.17478/jegys.631567
Chicago Ramadianti, Winda, Nanang Priatna, and Kusnandi Kusnandi. “Misconception Analysis of Junior High School Student in Interpreting Fraction”. Journal for the Education of Gifted Young Scientists 7, no. 4 (December 2019): 1159-73. https://doi.org/10.17478/jegys.631567.
EndNote Ramadianti W, Priatna N, Kusnandi K (December 1, 2019) Misconception Analysis of Junior High School Student in Interpreting Fraction. Journal for the Education of Gifted Young Scientists 7 4 1159–1173.
IEEE W. Ramadianti, N. Priatna, and K. Kusnandi, “Misconception Analysis of Junior High School Student in Interpreting Fraction”, JEGYS, vol. 7, no. 4, pp. 1159–1173, 2019, doi: 10.17478/jegys.631567.
ISNAD Ramadianti, Winda et al. “Misconception Analysis of Junior High School Student in Interpreting Fraction”. Journal for the Education of Gifted Young Scientists 7/4 (December 2019), 1159-1173. https://doi.org/10.17478/jegys.631567.
JAMA Ramadianti W, Priatna N, Kusnandi K. Misconception Analysis of Junior High School Student in Interpreting Fraction. JEGYS. 2019;7:1159–1173.
MLA Ramadianti, Winda et al. “Misconception Analysis of Junior High School Student in Interpreting Fraction”. Journal for the Education of Gifted Young Scientists, vol. 7, no. 4, 2019, pp. 1159-73, doi:10.17478/jegys.631567.
Vancouver Ramadianti W, Priatna N, Kusnandi K. Misconception Analysis of Junior High School Student in Interpreting Fraction. JEGYS. 2019;7(4):1159-73.
By introducing the concept of the "Gifted Young Scientist," JEGYS has initiated a new research trend at the intersection of science-field education and gifted education.