Penalaran Proporsional Siswa dalam Strategi Worked Example
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Misnasanti, R. W. Utami, and F. R. Suwanto, “Problem based learning to improve proportional reasoning of students in mathematics learning,” in AIP Conference Proceedings, 2017. doi: 10.1063/1.4995129.
D. Ben-Cham, J. T. Fey, W. M. Fitzgerald, C. Benedetto, and J. Miller, “Proportional reasoning among 7th grade students with different curricular experiences,” Educ. Stud. Math., vol. 36, no. 3, pp. 247–273, 1998, doi: 10.1023/A.
M. S. Pelen, P. D. Artut, and P. D. Seventh, “Seventh grade students ’ problem solving success rates on proportional reasoning problems seventh grade students ’ problem solving success rates on proportional reasoning problems,” Int. J. Res. Educ. angd Sci., vol. 2, no. 1, pp. 29–34, 2016.
A. Prayitno, A. Rossa, and F. D. Widayanti, “Level penalaran proporsional siswa dalam memecahkan missing value problem,” J. Ris. Pendidik. Mat., vol. 6, no. 2, pp. 177–187, 2019, doi: 10.21831/jrpm.v6i2.19728.
Kemendikbudristek BSKAP, Salinan keputusan kepala badan standar, kurikulum, dan asesmen pendidikan, kementerian pendidikan, kebudayaan, riset, dan teknologi nomor 008/H/KR/2022 tentang capaian pembelajaran pada pendidikan anak usia dini jenjang pendidikan dasar, no. 021. 2022.
E. Vanluydt, “The importance of specific mathematical language for early proportional reasoning,” Early Child. Res. Q., vol. 55, pp. 193–200, 2021, doi: 10.1016/j.ecresq.2020.12.003.
G. Kurt, F. Önel, and Ö. Çakıoğlu, “An investigation of middle school students’ spatial reasoning skills,” Int. Electron. J. Elem. Educ., vol. 16, no. 1, pp. 123–141, 2023, doi: 10.26822/iejee.2023.319.
E. Jacobson, J. Lobato, and C. H. Orrill, “Middle school teachers use of mathematics to make sense of student solutions to proportional reasoning problems,” Int. J. Sci. Math. Educ., vol. 16, no. 8, pp. 1541–1559, 2018, doi: 10.1007/s10763-017-9845-z.
M. Irfan, C. Sa’dijah, N. Ishartono, S. Widodo, A. Rahman, and M. Hudha, “Interference in solving mathematical problems,” 2019, doi: 10.4108/eai.19-10-2018.2281319.
A. Renkl, “Learning from worked-examples in mathematics: students relate procedures to principles,” ZDM - Math. Educ., vol. 49, no. 4, pp. 571–584, 2017, doi: 10.1007/s11858-017-0859-3.
C. Schadl and S. Ufer, “Mathematical knowledge and skills as longitudinal predictors of fraction learning among sixth-grade students.,” J. Educ. Psychol., vol. 115, no. 7, pp. 985–1003, 2023, doi: 10.1037/edu0000808.
C. A. H. F. Santosa, I. Rafianti, and D. Yulistiany, “Worked-example method on mathematical problem-solving ability in term of students’ initial ability,” Kreano, J. Mat. Kreat., vol. 13, no. 2, pp. 210–220, 2022, doi: 10.15294/kreano.v13i2.33301.
K. N. Begolli, “Could probability be out of proportion? Self-explanation and example-based practice help students with lower proportional reasoning skills learn probability,” Instr. Sci., vol. 49, no. 4, pp. 441–473, 2021, doi: 10.1007/s11251-021-09550-9.
B. Ojose, “Proportional reasoning and related concepts: analysis of gaps and understandings of middle grade students,” Univers. J. Educ. Res., vol. 3, no. 2, pp. 104–112, 2015, doi: 10.13189/ujer.2015.030206.
F. Mardika and A. Mahmudi, “An analysis of proportional reasoning ability of junior high school students,” J. Ris. Pendidik. Mat., vol. 8, no. 1, pp. 22–32, 2021, doi: 10.21831/jrpm.v8i1.14995.
S. H. Im and A. K. Jitendra, “Analysis of proportional reasoning and misconceptions among students with mathematical learning disabilities,” J. Math. Behav., vol. 57, no. August 2019, 2020, doi: 10.1016/j.jmathb.2019.100753.
J. Sweller, “Cognitive load theory and educational technology,” Educ. Technol. Res. Dev., vol. 68, no. 1, pp. 1–16, 2020, doi: 10.1007/s11423-019-09701-3.
A. Renkl, “Learning from worked-out examples: A study on individual differences,” Cogn. Sci., vol. 21, no. 1, pp. 1–29, 1997, doi: 10.1207/s15516709cog2101_1.
V. Hoogerheide, S. M. M. Loyens, and T. Van Gog, “Comparing the effects of worked examples and modeling examples on learning,” Comput. Human Behav., vol. 41, pp. 80–91, 2014, doi: 10.1016/j.chb.2014.09.013.
T. van Gog, L. Kester, K. Dirkx, V. Hoogerheide, J. Boerboom, and P. P. J. L. Verkoeijen, “Testing after worked example study does not enhance delayed problem-solving performance compared to restudy,” Educ. Psychol. Rev., vol. 27, no. 2, pp. 265–289, 2015, doi: 10.1007/s10648-015-9297-3.
O. Chen, E. Retnowati, and S. Kalyuga, “Element interactivity as a factor influencing the effectiveness of worked example–problem solving and problem solving–worked example sequences,” Br. J. Educ. Psychol., vol. 90, no. S1, pp. 210–223, 2020, doi: 10.1111/bjep.12317.
W. E. Maryati, E. Retnowati, and N. K. Thoe, “Learning mathematics formulas by listening and reading worked example,” Indones. J. Teach. Sci., vol. 2, no. 1, pp. 61–74, 2022.
I. Kollar, E. Reichersdorfer, F. Vogel, F. Fischer, and K. Reiss, “Effects of collaboration scripts and heuristic worked examples on the acquisition of mathematical argumentation skills of teacher students with different levels of prior,” pp. 22–36, 2014, doi: 10.1016/j.learninstruc.2014.01.003.
K. N. Begolli, T. Dai, K. M. McGinn, and J. L. Booth, Could probability be out of proportion ? Self ‑ explanation and example ‑ based practice help students with lower proportional reasoning skills learn probability, vol. 49, no. 4. Springer Netherlands, 2021. doi: 10.1007/s11251-021-09550-9.
E. Retnowati, P. Ayres, J. Sweller, E. Retnowati, P. Ayres, and J. Sweller, “Can collaborative learning improve the effectiveness of worked Examples in learning mathematics ? Can collaborative learning Improve the effectiveness of worked examples in learning mathematics ?,” 2016.
D. K. Wibowo and E. Retnowati, “Perbandingan efektivitas faded example dan worked example ditinjau dari kemampuan pemecahan masalah peluang,” J. Pedagog. Mat., vol. 8, no. 1, pp. 49–64, 2022.
F. T. Hu, P. Ginns, and J. Bobis, “Does tracing worked examples enhance geometry learning?,” Aust. J. Educ. Dev. Psychol., vol. 14, no. 612, pp. 45–49, 2014.
J. W. Creswell and V. L. Pl. Clark, Design and conducting mixed metohods research, 2nd ed. Thosand oaks: SAGE Publications, 2010.
B. Bentley and G. C. R. Yates, “Facilitating proportional reasoning through worked examples : Two classroom-based experiments,” Cogent Educ., vol. 197, no. 1, pp. 1–14, 2017, doi: 10.1080/2331186X.2017.1297213.
E. Retnowati, P. Ayres, and J. Sweller, “Worked example effects in individual and group work settings,” Educ. Psychol., vol. 30, no. 3, pp. 349–367, 2010, doi: 10.1080/01443411003659960.
T. van Gog and N. Rummel, “Example-based learning: Integrating cognitive and social-cognitive research perspectives,” Educ. Psychol. Rev., vol. 22, no. 2, pp. 155–174, 2010, doi: 10.1007/s10648-010-9134-7.
B. Bentley and G. C. R. Yates, “Facilitating proportional reasoning through worked examples : Two classroom-based experiments Facilitating proportional reasoning through worked examples : Two classroom-based experiments,” Cogent Educ., vol. 197, no. 1, 2017, doi: 10.1080/2331186X.2017.1297213.
E. P. Vollman, “Learning beyond accuracy : evidence for worked examples as support for students ’ proportional reasoning gains,” no. June, pp. 9–53, 2021.
A. Prayitno, A. Rossa, F. D. Widayanti, S. Rahayuningsih, A. H. B, and M. Baidawi, “Characteristics of students ’ proportional reasoning in solving missing value problem characteristics of students ’ proportional reasoning in solving missing value problem,” 2018.
DOI: https://doi.org/10.37905/jmathedu.v5i1.23798
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