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References
- Abdullah, A. H., Liyana, N., Abidin, Z., & Ali, M. (2015). Analysis of students’ errors in solving higher order thinking skills (HOTS) problems for the topic of fractions. Asian Social Science, 11(21), 58-78. http://dx.doi.org/10.5539/ass.v11n21p133
- Agustyaningrum, N., Abadi, A. M., Sari, R. N., & Mahmudi, A. (2018). An analysis of students’ error in solving abstract algebra tasks. Journal of Physics: Conference Series, 1097(1), 012118. https://doi.org/10.1088/1742-6596/1097/1/012118
- Alshwaikh, J., & Adler, J. (2017). Researchers and teachers as learners in Lesson Study. In M. K. Mhlolo, S. N. Matoti, & B. Fredericks (Eds.), SAARMSTE Book of Long Papers (pp. 2-14). https://www.researchgate.net/profile/Jehad-Alshwaikh/publication/312083661_Researchers_and_teachers_as_learners_in_Lesson_Study/links/58d527f2458515337857a616/Researchers-and-teachers-as-learners-in-Lesson-Study.pdf
- Arum, D. P., Kusmayadi, T. A., & Pramudya, I. (2018). Students’ logical-mathematical intelligence profile. Journal of Physics: Conference Series, 1008(1), 012071. https://doi.org/10.1088/1742-6596/1008/1/012071
- Aygor, N., & Ozdag, H. (2012). Misconceptions in linear algebra: the case of undergraduate students. Procedia - Social and Behavioral Sciences, 46, 2989-2994. https://doi.org/https://doi.org/10.1016/j.sbspro.2012.05.602
- Baidoo, J. (2019). Dealing with grade 10 learners’ misconceptions and errors when simplifying algebraic fractions. Journal of Emerging Trends in Educational Research and Policy Studies, 10(1), 47-55. https://doi.org/doi:10.10520/EJC-17aa794007
- Bethany, Y. (2016). 3 Types of math errors and how to prevent them. https://mathgeekmama.com/types-of-math-errors/
- Biggs, J. B., & Collis, K. F. (2014). Evaluating the quality of learning: The SOLO taxonomy (Structure of the Observed Learning Outcome). Academic Press.
- Bohlmann, C. A., Prince, R. N., & Deacon, A. (2017). Mathematical errors made by high performing candidates writing the National Benchmark Tests. Pythagoras, 38(1), 1-10. https://doi.org/doi:10.4102/pythagoras.v38i1.292
- Bray, & Santagata, W. (2013). How to leverage the potential of mathematical errors. Teaching Children Mathematics, 19(7), 424-431. https://doi.org/10.5951/teacchilmath.19.7.0424
- Brown, J., & Skow, K. (2016). Mathematics: Identifying and adressing student errors. IRIS Center. https://iris.peabody.vanderbilt.edu/wp-content/uploads/pdf_case_studies/ics_matherr.pdf
- Chirume, S. (2017). A critical analysis of errors made by rural and urban students in ‘A’ level mathematics paper 1 (4008/1) in Shurugwi and Gweru Districts, Zimbabwe. Asian Journal of Education and e-Learning, 5(2), 63-73. https://pdfs.semanticscholar.org/aecb/4bd1a018ab169e60af4403032352cfe36897.pdf
- Creswell, J. W., & Clark, V. L. P. (2007). Designing and conducting mixed methods research. Sage Publications, Inc.
- Dhlamini, Z, B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions in addition of fractions. Mediterranean Journal of Social Sciences, 5(8), 236-256. https://doi.org/10.5901/mjss.2014.v5n8p236
- Egodawatte, G. (2011). Secondary school students’ misconceptions in algebra. University of Toronto, Toronto.
- Elbrink, M. K. (2008). Analyzing and addressing common mathematical errors in secondary education. Ball State University, Cardinal Scholar. http://liblink.bsu.edu/catkey/1365327
- Fisher, D., & Frey, N. (2012). Making time for feedback. Educational Leadership, 70(1), 42-47. https://www.ascd.org/el/articles/making-time-for-feedback
- Frame, R. (2018). What is SOLO taxonomy? https://edu.rsc.org/ideas/what-is-solo-taxonomy/3008902.article
- Fumador, E. S., & Agyei, D. D. (2018). Students ‘errors and misconceptions in algebra: Exploring the impact of remedy using diagnostic conflict and conventional teaching approaches. U. o. C. C. I. Repository. http://hdl.handle.net/123456789/8054
- Gardee, A., & Brodie, K. (2015). A teacher’s engagement with learner errors in her Grade 9 mathematics classroom : original research. Pythagoras, 36(2), 1-9. https://doi.org/doi:10.4102/pythagoras.v36i2.293
- Gumpo, L. (2014). Grade 9 learners' strategies and errors in solving arithmetic and algebraic linear equations (Doctoral dissertation, University of the Witwatersrand, Faculty of Science, School of Science Education).
- Iddrisu, M. M., Abukari, A., & Boakye, S. (2017). Some common misconstructions and misinterpretations in basic algebra: A case of students of university for development studies and Navrongo senior high school in Ghana. British Journal of Education, 5(9), 22-35.
- Jacobs, M., Mhakure, D., Fray, R. L., Holtman, L., & Julie, C. (2014). Item difficulty analysis of a high-stakes mathematics examination using Rasch analysis. Pythagoras, 35(1), 1-7. https://doi.org/10.4102/pythagoras.v35i1.220
- Kakoma, L., & Makonye, P. J. (2010). Learners and misconceptions in elementary analysis: A case study of a Grade 12 class in South Africa. Acta Didactica Napocensia, 3(3), 35-46. https://files.eric.ed.gov/fulltext/EJ1056125.pdf
- Koch, M. A. (2014). The relationship between peer coaching, collaboration and collegiality, teacher effectiveness and leadership (Doctoral dissertation, Walden University).
- Lian, L. H., & Yew, W. T. (2012). Assessing algebraic solving ability: A theoretical framework. International Education Studies, 5(6), 177-188. http://dx.doi.org/10.5539/ies.v5n6p177
- Luneta, K., & Makonye, P. J. (2010). Learner Errors and Misconceptions in Elementary Analysis: A Case Study of a Grade 12 Class in South Africa. Acta Didactica Napocensia, 3(3), 35-46.
- Makonye, J. P. (2011). Learner errors in introductory differentiation tasks: A study of learner misconceptions in the National Senior Certificate examinations. University of Johannesburg, Auckland Park, South Africa.
- 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), 2158244016671375. https://doi.org/2158244016671375
- Makonye, J., & Hantibi, N. (2014). Exploration of grade 9 learners’ errors on operations with directed numbers. Mediterranean Journal of Social Sciences, 5(20), 1564-1572. https://doi.org/10.5901/mjss.2014.v5n20p1564
- Malahlela, M. V. (2017). Using errors and misconceptions as a resource to teach functions to grade 11 learners. University of the Witwatersrand, Johannesburg, South Africa.
- Mashazi, S. (2014). Learners’ explanations of the errors they make in introductory algebra. In U. o. Witwatersrand (Ed.), Wits Mathts Connect secondary project, School of education.
- Mbewe, T. L. (2013). Misconceptions and errors in Algebra at grade 11 levels: The case of two selected secondary schools in Petauke District Zambia.
- Mdaka, B. R. (2011). Learners’ errors and misconceptions associated with common fractions. University of Johannesburg (South Africa).
- Mulungye, M. M., O’Connor, M., & Ndethiu, S. (2016). Sources of student errors and misconceptions in algebra and effectiveness of classroom practice remediation in Machakos County-Kenya. Journal of Education and Practice, 7(10), 31-33. https://files.eric.ed.gov/fulltext/EJ1099568.pdf
- Na’imah, S., Sulandra, M., & Rahardi, R. (2018). Kemampuan siswa field dependent level multistructural dalam menyelesaikan soal pythagoras dan pemberian scaffolding [Ability of multistructural level field dependent students in solving pythagorean problems and scaffolding]. Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan, 3(6), 788-798. https://doi.org/10.17977/jptpp.v3i6.11234
- Ncube, M. (2016). Analysis of errors made by learners in simplifying algebraic expressions at grade 9 level. University of South Africa. http://hdl.handle.net/10500/23199
- Newman, M. A. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks. In M. A. C. J. Foyster (Ed.), Research in Mathematics Education in Australia (Vol. 2, pp. 269-287). Swinburne College Press.
- Pournara, C. (2020). Grade 9 learners’ algebra performance: Comparisons across quintiles, insights from errors and curriculum implications. South African Journal of Science, 116, 1-7. http://www.scielo.org.za/scielo.php?script=sci_arttext&pid=S0038-23532020000600011&nrm=iso
- Rahim, R. A., Noor, N. M., & Zaid, N. M. (2015). Meta-analysis on element of cognitive conflict strategies with a focus on multimedia learning material development. International Education Studies, 8(13), 73-78. https://doi.org/10.5539/ies.v8n13p73
- Sarımanoğlu, N. U. (2019). The investigation of middle school students’ misconceptions about algebraic equations. Studies in Educational Research and Development, 3(1), 1-22.
- Seng, L. K. (2010). An error analysis of Form 2 (Grade 7) students in simplifying algebraic expressions: A descriptive study. Electronic Journal of Research in Education Psychology, 8(20), 139-162. https://doi.org/https://doi.org/10.25115/ejrep.v8i20.1398
- Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational studies in mathematics, 22(1), 1-36. https://doi.org/10.1007/BF00302715
- Tiwari, C., & Fatima, R. (2019). Secondary school students’ misconceptions in algebra concept. Mahatma Gandhi Central University Journal of Social Sciences, 1(1), 22-33. https://mgcub.ac.in/pdf/journals/mgcujss_1-1_april-september_2019-32-43.pdf
- Ung, H. Q., Phan, M. K., Nguyen, H. T., & Nakagawa, M. (2019). Strategy and tools for collecting and annotating handwritten descriptive answers for developing automatic and semi-automatic marking-an initial effort to math. In 2019 International Conference on Document Analysis and Recognition Workshops (ICDARW) (Vol. 2, pp. 13-18). IEEE.
References
Abdullah, A. H., Liyana, N., Abidin, Z., & Ali, M. (2015). Analysis of students’ errors in solving higher order thinking skills (HOTS) problems for the topic of fractions. Asian Social Science, 11(21), 58-78. http://dx.doi.org/10.5539/ass.v11n21p133
Agustyaningrum, N., Abadi, A. M., Sari, R. N., & Mahmudi, A. (2018). An analysis of students’ error in solving abstract algebra tasks. Journal of Physics: Conference Series, 1097(1), 012118. https://doi.org/10.1088/1742-6596/1097/1/012118
Alshwaikh, J., & Adler, J. (2017). Researchers and teachers as learners in Lesson Study. In M. K. Mhlolo, S. N. Matoti, & B. Fredericks (Eds.), SAARMSTE Book of Long Papers (pp. 2-14). https://www.researchgate.net/profile/Jehad-Alshwaikh/publication/312083661_Researchers_and_teachers_as_learners_in_Lesson_Study/links/58d527f2458515337857a616/Researchers-and-teachers-as-learners-in-Lesson-Study.pdf
Arum, D. P., Kusmayadi, T. A., & Pramudya, I. (2018). Students’ logical-mathematical intelligence profile. Journal of Physics: Conference Series, 1008(1), 012071. https://doi.org/10.1088/1742-6596/1008/1/012071
Aygor, N., & Ozdag, H. (2012). Misconceptions in linear algebra: the case of undergraduate students. Procedia - Social and Behavioral Sciences, 46, 2989-2994. https://doi.org/https://doi.org/10.1016/j.sbspro.2012.05.602
Baidoo, J. (2019). Dealing with grade 10 learners’ misconceptions and errors when simplifying algebraic fractions. Journal of Emerging Trends in Educational Research and Policy Studies, 10(1), 47-55. https://doi.org/doi:10.10520/EJC-17aa794007
Bethany, Y. (2016). 3 Types of math errors and how to prevent them. https://mathgeekmama.com/types-of-math-errors/
Biggs, J. B., & Collis, K. F. (2014). Evaluating the quality of learning: The SOLO taxonomy (Structure of the Observed Learning Outcome). Academic Press.
Bohlmann, C. A., Prince, R. N., & Deacon, A. (2017). Mathematical errors made by high performing candidates writing the National Benchmark Tests. Pythagoras, 38(1), 1-10. https://doi.org/doi:10.4102/pythagoras.v38i1.292
Bray, & Santagata, W. (2013). How to leverage the potential of mathematical errors. Teaching Children Mathematics, 19(7), 424-431. https://doi.org/10.5951/teacchilmath.19.7.0424
Brown, J., & Skow, K. (2016). Mathematics: Identifying and adressing student errors. IRIS Center. https://iris.peabody.vanderbilt.edu/wp-content/uploads/pdf_case_studies/ics_matherr.pdf
Chirume, S. (2017). A critical analysis of errors made by rural and urban students in ‘A’ level mathematics paper 1 (4008/1) in Shurugwi and Gweru Districts, Zimbabwe. Asian Journal of Education and e-Learning, 5(2), 63-73. https://pdfs.semanticscholar.org/aecb/4bd1a018ab169e60af4403032352cfe36897.pdf
Creswell, J. W., & Clark, V. L. P. (2007). Designing and conducting mixed methods research. Sage Publications, Inc.
Dhlamini, Z, B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions in addition of fractions. Mediterranean Journal of Social Sciences, 5(8), 236-256. https://doi.org/10.5901/mjss.2014.v5n8p236
Egodawatte, G. (2011). Secondary school students’ misconceptions in algebra. University of Toronto, Toronto.
Elbrink, M. K. (2008). Analyzing and addressing common mathematical errors in secondary education. Ball State University, Cardinal Scholar. http://liblink.bsu.edu/catkey/1365327
Fisher, D., & Frey, N. (2012). Making time for feedback. Educational Leadership, 70(1), 42-47. https://www.ascd.org/el/articles/making-time-for-feedback
Frame, R. (2018). What is SOLO taxonomy? https://edu.rsc.org/ideas/what-is-solo-taxonomy/3008902.article
Fumador, E. S., & Agyei, D. D. (2018). Students ‘errors and misconceptions in algebra: Exploring the impact of remedy using diagnostic conflict and conventional teaching approaches. U. o. C. C. I. Repository. http://hdl.handle.net/123456789/8054
Gardee, A., & Brodie, K. (2015). A teacher’s engagement with learner errors in her Grade 9 mathematics classroom : original research. Pythagoras, 36(2), 1-9. https://doi.org/doi:10.4102/pythagoras.v36i2.293
Gumpo, L. (2014). Grade 9 learners' strategies and errors in solving arithmetic and algebraic linear equations (Doctoral dissertation, University of the Witwatersrand, Faculty of Science, School of Science Education).
Iddrisu, M. M., Abukari, A., & Boakye, S. (2017). Some common misconstructions and misinterpretations in basic algebra: A case of students of university for development studies and Navrongo senior high school in Ghana. British Journal of Education, 5(9), 22-35.
Jacobs, M., Mhakure, D., Fray, R. L., Holtman, L., & Julie, C. (2014). Item difficulty analysis of a high-stakes mathematics examination using Rasch analysis. Pythagoras, 35(1), 1-7. https://doi.org/10.4102/pythagoras.v35i1.220
Kakoma, L., & Makonye, P. J. (2010). Learners and misconceptions in elementary analysis: A case study of a Grade 12 class in South Africa. Acta Didactica Napocensia, 3(3), 35-46. https://files.eric.ed.gov/fulltext/EJ1056125.pdf
Koch, M. A. (2014). The relationship between peer coaching, collaboration and collegiality, teacher effectiveness and leadership (Doctoral dissertation, Walden University).
Lian, L. H., & Yew, W. T. (2012). Assessing algebraic solving ability: A theoretical framework. International Education Studies, 5(6), 177-188. http://dx.doi.org/10.5539/ies.v5n6p177
Luneta, K., & Makonye, P. J. (2010). Learner Errors and Misconceptions in Elementary Analysis: A Case Study of a Grade 12 Class in South Africa. Acta Didactica Napocensia, 3(3), 35-46.
Makonye, J. P. (2011). Learner errors in introductory differentiation tasks: A study of learner misconceptions in the National Senior Certificate examinations. University of Johannesburg, Auckland Park, South Africa.
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), 2158244016671375. https://doi.org/2158244016671375
Makonye, J., & Hantibi, N. (2014). Exploration of grade 9 learners’ errors on operations with directed numbers. Mediterranean Journal of Social Sciences, 5(20), 1564-1572. https://doi.org/10.5901/mjss.2014.v5n20p1564
Malahlela, M. V. (2017). Using errors and misconceptions as a resource to teach functions to grade 11 learners. University of the Witwatersrand, Johannesburg, South Africa.
Mashazi, S. (2014). Learners’ explanations of the errors they make in introductory algebra. In U. o. Witwatersrand (Ed.), Wits Mathts Connect secondary project, School of education.
Mbewe, T. L. (2013). Misconceptions and errors in Algebra at grade 11 levels: The case of two selected secondary schools in Petauke District Zambia.
Mdaka, B. R. (2011). Learners’ errors and misconceptions associated with common fractions. University of Johannesburg (South Africa).
Mulungye, M. M., O’Connor, M., & Ndethiu, S. (2016). Sources of student errors and misconceptions in algebra and effectiveness of classroom practice remediation in Machakos County-Kenya. Journal of Education and Practice, 7(10), 31-33. https://files.eric.ed.gov/fulltext/EJ1099568.pdf
Na’imah, S., Sulandra, M., & Rahardi, R. (2018). Kemampuan siswa field dependent level multistructural dalam menyelesaikan soal pythagoras dan pemberian scaffolding [Ability of multistructural level field dependent students in solving pythagorean problems and scaffolding]. Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan, 3(6), 788-798. https://doi.org/10.17977/jptpp.v3i6.11234
Ncube, M. (2016). Analysis of errors made by learners in simplifying algebraic expressions at grade 9 level. University of South Africa. http://hdl.handle.net/10500/23199
Newman, M. A. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks. In M. A. C. J. Foyster (Ed.), Research in Mathematics Education in Australia (Vol. 2, pp. 269-287). Swinburne College Press.
Pournara, C. (2020). Grade 9 learners’ algebra performance: Comparisons across quintiles, insights from errors and curriculum implications. South African Journal of Science, 116, 1-7. http://www.scielo.org.za/scielo.php?script=sci_arttext&pid=S0038-23532020000600011&nrm=iso
Rahim, R. A., Noor, N. M., & Zaid, N. M. (2015). Meta-analysis on element of cognitive conflict strategies with a focus on multimedia learning material development. International Education Studies, 8(13), 73-78. https://doi.org/10.5539/ies.v8n13p73
Sarımanoğlu, N. U. (2019). The investigation of middle school students’ misconceptions about algebraic equations. Studies in Educational Research and Development, 3(1), 1-22.
Seng, L. K. (2010). An error analysis of Form 2 (Grade 7) students in simplifying algebraic expressions: A descriptive study. Electronic Journal of Research in Education Psychology, 8(20), 139-162. https://doi.org/https://doi.org/10.25115/ejrep.v8i20.1398
Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational studies in mathematics, 22(1), 1-36. https://doi.org/10.1007/BF00302715
Tiwari, C., & Fatima, R. (2019). Secondary school students’ misconceptions in algebra concept. Mahatma Gandhi Central University Journal of Social Sciences, 1(1), 22-33. https://mgcub.ac.in/pdf/journals/mgcujss_1-1_april-september_2019-32-43.pdf
Ung, H. Q., Phan, M. K., Nguyen, H. T., & Nakagawa, M. (2019). Strategy and tools for collecting and annotating handwritten descriptive answers for developing automatic and semi-automatic marking-an initial effort to math. In 2019 International Conference on Document Analysis and Recognition Workshops (ICDARW) (Vol. 2, pp. 13-18). IEEE.