This research aims to: 1) analyze the types of errors made in solving mathematical problems (MP) based on Newman's procedures by students taught through problem-based learning (PBL); 2) to find the cause of errors in completing the MP based on the Newman procedure after PBL implementation. The subjects in this study were students of class VII Middle Secondary School (MSS) MTsN 3 Aceh Tamiang. Subjects for the purpose of in-depth interviews consisted of six students from different mathematical ability: two students with high ability, two students with moderate ability, and two students with low ability. The object in this study is the completion error in the MPS of students who learning mathematics through PBL on the subject of 'algebraic form'. Based on the results of data analysis, the percentage of students' errors in completing MP was: (1) reading error: 10%; comprehension error: 23.33%; transformation error: 36.67%; process skill error: 43.33%; encoding error: 73.33%; (2) Specific types of failure made by students in solving math problems happened in: (1) changing questions into their own language, (2) representing problems in the form of mathematical equations, (3) doing calculations, (4) manipulating algebra problems, and (5) interpreting the solution of the problem.
| [1] | Ruseffendi, E.T. 1992. Pendidikan Matematika 3. Jakarta: Depdikbud |
| [2] | Ronis, D., L. (2008). Problem-based Learning for Math & Science; Integrating Inquiry and the Internet. California: Corwin Press. |
| [3] | Ronis, D., L. (2008). Problem-based Learning for Math & Science; Integrating Inquiry and the Internet. California: Corwin Press. |
| [4] | Fogarty, R. (1997). PBL in Other Curriculum Models for Multiple Intelligence Classroom. Melbourne, Vic: Hawker Bronlow Education. |
| [5] | Branca, N.A., (1980). Problem Solving as a Goal, Process, and Basic Skill. Dalam Krulik, S. (ed). Problem Solving ini School Mathematics. 1980 Yearbook. Reston, VA: NCTM. |
| [6] | Ruchaedi, D., Suryadi, D., Herman, T. 2017. Pengaruh Problem Based Learning (PBL) Terhadap Kemampuan Heuristik Pemecahan Masalah dan Sikap Matematis Siswa Sekolah Dasar, Jurnal Eduhumaniora Pendidikan Dasar . Vol 7, No 1.View Article |
| [7] | Rohmah, M. & Sutiarso, S. (2018). Analysis Problem Solving in Mathematics Using Newman Theory. Eurasia Journal Math., Sci Tech.: 14(2), 671-681.View Article |
| [8] | Minarni, A. & Napitupulu, E. E. (2018). Eight Grade Mathematical Problem Solving Ability: Public School Case. Conference Proceeding of the 3rd Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL 2018).View Article |
| [9] | Arends, R.I. (20r04). Learning to Teach, 6th Edition. New York: The McGraw-Hill Company, Inc. |
| [10] | Posamentier, A., S., and Krulik, S. (2009). Problem Solving in Mathematics: Grade 3-6: Powerful Strategies to Deepen Understanding. California: Corwin Publisher. |
| [11] | Minarni, A. & Napitupulu, E. E. (2017). Developing Instruction Materials Based on Joyful PBL to Improve Students Mathematical Representation Ability. International Education Studies; Vol. 10, No. 9, pp. 23-38.View Article |
| [12] | Napitupulu. E.E., Suryadi, D., & Kusumah, Y.S. (2016). Cultivating Upper Secondary Students’ Mathematical Reasoning Ability and Attitudes towards Mathematics through Problem-Based Learning. Indo-MS Journal on Mathematics Education, Vol. 7. No. 2, pp 61-71.View Article |
| [13] | Anderson, L.W., et al., (2001). A Taxonomy for Learning, Teaching, and Assessing. New York: Addison Wesley Longman, Inc. |
| [14] | NCTM. (2000). Principle and Standards for School Mathematics. Reston: VA. |
| [15] | Resnick, L. B. (1987). Education and Learning to Think. Washington DC: National Academic Press. |
| [16] | Berg, Laurence, B., & Lune, H. (2008). Qualitative Research Methods for the Social Sciences. Boston: ISBN 9780205809387. |
