A Bibliometric Analysis of Mathematical Problem-Solving: A State of The Art
Abstract
This study aims to explore research on problem-solving in various countries using complete and systematic bibliometrics, mainly Publish or Perish (PoP) and Vos viewer, to analyze data systematically. This analysis reveals the development of research related to problem-solving to provide new ideas and raise research gaps related to this topic. The data used in 2016-2022 is 2959 articles using keywords, namely problem solving and mathematics. The method used in this study used bibliometric analysis with interconnected keyword maps. Through this bibliometric, researchers can find research trends by the chosen topic, explain the updates that can be presented, and determine research gaps. So, this research is the first step to making it easier for researchers to report the results of previous studies and offer further research.
Keywords: bibliometric; mathematics; problem-solving; vos viewer.
Abstrak
Tujuan penelitian ini untuk mengeksplorasi penelitian tentang pemecahan masalah diberbagai negara dengan menggunakan analisis data bibliometric vos viewer dan publish or perish secara lengkap dan sistematis. Analisis ini mengungkapkan perkembangan penelitian terkait pemecahan masalah untuk memberika ide baru serta memunculkan kesenjangan penelitian terkait topik ini. data yang digunakan pada tahun 2016-2022 sebanyak 2959 artikel. Metode yang digunakan dalam penelitian ini menggunakan analisis bibliometric dengan peta kata kunci yang saling berhubungan. Melalui bibliometric ini peneliti dapat menemukan trend penelitian yang sesuai dengan topik yang dipilih, menjelaskan kebeharuan yang dapat disajikan serta menentukan gap penelitian. Sehingga penelitian ini sebagai langkah awal untuk memudahkan peneliti melaporkan hasil penelitian terdahulu untuk dapat menawarkan penelitian yang berbeda dari penelitian yang sudah ada.
Kata Kunci: bibliometrik; matematika; penyelesaian masalah; vos viewer.
2020MSC: 97D50, 97U60.
Keywords
References
T. García, J. Boom, E. H. Kroesbergen, J. C. Núñez, and C. Rodríguez, "Planning, execution, and revision in mathematics problem solving: Does the order of the phases matter?" Studies in Educational Evaluation, vol. 61, pp. 83-93, 2019.
T. D. Prastiti, "Problem-based learning on the learning perseverance of Indonesian senior high school students in solving mathematical problems," Bolema - Mathematics Education Bulletin, vol. 64, no. 68, pp. 1206-1220, 2020.
I. Santia, Purwanto, A. Sutawidjadja, Sudirman, and Subanji, "Exploring Mathematical Representations in Solving Ill-Structured Problems: The Case of Quadratic Function," Journal on Mathematics Education, vol. 10, no. 3, pp. 365-378, 2019
M. N. Kholid, C. Sa'Dijah, E. Hidayanto, and H. Permadi, "Students' reflective thinking pattern changes and characteristics of problem solving," Reflective Practice, 2022.
National Council of Teachers of Mathematics, Principles and standards for school mathematics. Reston, VA: NCTM, 2000.
G. A. Goldin and C. E. Mcclintock, "Task Variabel In Mthematicl Problem Solving," Mathematics, and Environmental Education, Columbus, Ohio, 1979.
D. H. Jonassen, "Instructional design models for well-structured and ill-structured problem-solving learning outcomes," Educational Technology Research and Development, vol. 45, no. 1, pp. 65-94, 1997.
F. P. Yee, "Open Ended Problems for Higher Order Thinking in Mathematics," Institute of Education (Singapore), vol. 20, pp. 49-57, 2002.
G. Polya, How to Solve It. A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press, 1985.
N. J. Van Eck and L. Waltman, "Citation-based clustering of publications using CitNetExplorer and VOSviewer," Scientometrics, vol. 111, no. 2, pp. 1053-1070, 2017.
A. H. Abdullah, S. S. Fadil, S. N. S. Abd Rahman, L. M. Tahir, and M. H. Hamzah, "Emerging patterns and problems of higher-order thinking skills (HOTS) mathematical problem-solving in the form-three Assessment (PT3)," South African Journal of Education, vol. 39, no. 2, 2019.
N. Abdullah, L. Halim, and E. Zakaria, "VStops: A Thinking Strategy and Visual Representation Approach in Mathematical Word Problem Solving toward Enhancing STEM Literacy," Eurasia Journal of Mathematics, Science and Technology Education, vol. 10, no. 3, pp. 165-174, 2014.
M. W. Alibali, N. M. Crooks, and N. M. McNeil, "Perceptual support promotes strategy generation: Evidence from equation solving," The British Journal of Developmental Psychology, vol. 36, no. 2, pp. 153-168, 2018.
M. F. Amir, "Interactive Multimedia Based Mathematics Problem Solving to Develop Students' Reasoning," 2019, doi: 10.31219/osf.io/qx63e.
A. Bahar and C. J. Maker, "Cognitive Backgrounds of Problem Solving: A Comparison of Open-ended vs. Closed Mathematics Problems," Eurasia Journal of Mathematics, Science and Technology Education, vol. 11, no. 6, pp. 1531-1546, 2015.
A. Barana, G. Boetti, and M. Marchisio, "Self-Assessment in the Development of Mathematical Problem-Solving Skills," Education Sciences, vol. 12, no. 2, pp. 81, 2022.
H. Bass, "Designing opportunities to learn mathematics theory-building practices," Educational Studies in Mathematics, vol. 95, pp. 229-244, 2017.
G. Bataluna, J. Medina, J. R. Luib, V. Sombilon, and E. Malicoban, "Development of Problem-Solving Approach Lesson Plans in Geometry," Asia Research Network Journal of Education, vol. 1, no. 3, pp. 121-135, 2021.
L. Bazzini and C. Sabena, "Participation in Mathematics Problem-Solving Through Gestures and Narration," in Educational Paths to Mathematics. Advances in Mathematics Education, U. Gellert, J. Giménez Rodríguez, C. Hahn, S. Kafoussi, Eds. Cham: Springer, 2015.
M. J. Bosse, E. S. Young, A. Bayaga, K. L. Davis, A. DeMarte, and C. Fountain, "Cognitive Processes in Problem Solving in a Dynamic Mathematics Environment," International Journal For Mathematics Teaching And Learning, vol. 21, no. 2, pp. 174-196, 2020.
S. Caviola, I. C. Mammarella, M. Pastore, and J-A. LeFevre, "Children's Strategy Choices on Complex Subtraction Problems: Individual Differences and Developmental Changes," Frontiers in Psychology, vol. 9, pp. 1209, 2018
D. Desli and A. Lioliou, "Relationship between Computational Estimation and Problem Solving," International Electronic Journal of Mathematics Education, vol. 15, no. 3, pp. 602, 2020.
M. Doorman et al., "Making and Implementing a Mathematics Day Challenge as a Makerspace for Teams of Students," International Journal of Science and Mathematics Education, vol. 17, no. 1, pp. 149-165, 2019.
E. R. Fyfe and B. Rittle-Johnson, "Mathematics practice without feedback: A desirable difficulty in a classroom setting," Instructional Science, vol. 45, pp. 177-194, 2017.
C. T. Green, S. A. Bunge, V. Briones Chiongbian, M. Barrow, and E. Ferrer, "Fluid reasoning predicts future mathematical performance among children and adolescents," Journal of Experimental Child Psychology, vol. 157, pp. 125-143, 2017.
E. Haataja, E. Garcia Moreno-Esteva, V. Salonen, A. Laine, M. Toivanen, and M. S. Hannula, "Teacher's visual attention when scaffolding collaborative mathematical problem solving," Teaching and Teacher Education, vol. 86, pp. 102877, 2019.
H. Viitala, "Emma's mathematical thinking, problem solving and affect," in CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Prague, Czech Republic, 2015, pp. 1294-1300.
Y. Harisman, M. S. Noto, and W. Hidayat, "Experience student background and their behavior in problem solving," Infinity, vol. 9, no. 1, pp. 59-68, 2020.
N. M. Hassan and S. Rahman, "Problem Solving Skills, Metacognitive Awareness, and Mathematics Achievement: A Mediation Model," New Educational Review, vol. 49, pp. 201-212, 2017.
K. Hoogland, B. Pepin, J. de Koning, A. Bakker, and K. Gravemeijer, "Word problems versus image-rich problems: an analysis of effects of task characteristics on students' performance on contextual mathematics problems," Research in Mathematics Education, vol. 20, pp. 37-52, 2018.
C. B. Hornburg, M. L. Rieber, and N. M. McNeil, "An integrative data analysis of gender differences in children's understanding of mathematical equivalence," Journal of Experimental Child Psychology, vol. 163, pp. 140-150, 2017.
J. Hwang, P. J. Riccomini, S. Y. Hwang, and S. Morano, "A systematic analysis of experimental studies targeting fractions for students with mathematics difficulties," Learning Disabilities Research & Practice, vol. 34, no. 1, pp. 47, 2019.
T. S. Irving and P. Agarwal, "Conceptualizing Perseverance in Problem Solving as Collective Enterprise," Mathematical Thinking and Learning, vol. 19, no. 2, pp. 115-138, 2017.
A. Jamaludin and D. Hung, "Problem-solving for STEM learning: navigating games as narrativized problem spaces for 21st century competencies," Research and Practice in Technology Enhanced Learning, vol. 12, no. 1, pp. 1, 2017.
A. K. Kenedi, Y. Helsa, Y. Ariani, M. Zainil, and S. Hendri, "Mathematical connection of elementary school students to solve mathematical problems," Journal on Mathematics Education, vol. 10, no. 1, pp. 69-79, 2019.
C. I. Lee, "An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving," Eurasia Journal of Mathematics, Science and Technology Education, vol. 13, no. 3, pp. 893-910, 2017.
I. D. Leo, K. R. Muis, C. A. Singh, and C. Psaradellis, "Curiosity... Confusion? Frustration! The role and sequencing of emotions during mathematics problem solving," Contemporary Educational Psychology, 2019.
S. R. Luria, B. Sriraman, and J. C. Kaufman, "Enhancing equity in the classroom by teaching for mathematical creativity," ZDM Mathematics Education, vol. 49, pp. 1033-1039, 2017.
N. Masson, M. Pesenti, and V. Dormal, "Impact of optokinetic stimulation on mental arithmetic," Psychological Research, vol. 81, pp. 840-849, 2017.
K. Morsanyi, N. Ní Cheallaigh, and R. Ackerman, "Mathematics Anxiety and Metacognitive Processes," Psihologijske Teme, vol. 28, no. 1, pp. 147-169, 2019.
Muhtarom, Y. H. Murtianto, and Sutrisno, "Thinking process of students with high-mathematics ability: (a study on QSR NVivo 11-assisted data analysis)," International Journal of Applied Engineering Research, vol. 12, no. 17, pp. 6934-6940, 2017.
A. S. Nur, S. B. Waluya, R. Rochmad, and W. Wardono, "Contextual Learning with Ethnomathematics In Enhancing the Problem Solving Based on Thinking Levels," Journal of Research and Advances in Mathematics Education, vol. 5, no. 3, pp. 331-344, 2020.
Z. Ç. Özcan and A. Eren Gümüş, "A modeling study to explain mathematical problem-solving performance through metacognition, self-efficacy, motivation, and anxiety," Australian Journal of Education, vol. 63, no. 1, pp. 116-134, 2019.
M. C. Passolunghi, E. Cargnelutti, and S. Pellizzoni, "The relation between cognitive and emotional factors and arithmetic problem-solving," Educational Studies in Mathematics, vol. 100, pp. 271-290, 2019.
I. Pelczer, F. M. Singer, and C. Voica, "Dynamic Thinking and Static Thinking in Problem Solving: Do they Explain Different Patterns of Students' Answers?" Procedia - Social and Behavioral Sciences, vol. 128, pp. 217-222, 2014.
C. J. Peltier, K. J. Vannest, and J. J. Marbach, "A Meta-Analysis of Schema Instruction Implemented in Single-Case Experimental Designs," The Journal of Special Education, vol. 52, no. 2, pp. 89-100, 2018.
C. Peltier and K. J. Vannest, "A Meta-Analysis of Schema Instruction on the Problem-Solving Performance of Elementary School Students," Review of Educational Research, vol. 87, no. 5, pp. 899-920, 2017.
C. Peltier and K. J. Vannest, "The Effects of Schema-Based Instruction on the Mathematical Problem Solving of Students With Emotional and Behavioral Disorders," Behavioral Disorders, vol. 43, no. 2, pp. 277-289, 2018.
P. Phonapichat, S. Wongwanich, and S. Sujiva, "An Analysis of Elementary School Students' Difficulties in Mathematical Problem Solving," Procedia - Social and Behavioral Sciences, vol. 116, pp. 3169-3174, 2014.
S. Psycharis and M. Kallia, "The effects of computer programming on high school students' reasoning skills and mathematical self-efficacy and problem-solving," Instructional Science, vol. 45, pp. 583-602, 2017.
N. Rahmi, I. M. Arnawa, and Yerizon, "Preparation Development Of Learning Device Problem Based Learning Model With Scientific Approach To Improve Mathematical Problem Solving Ability," International Journal of Scientific & Technology Research, vol. 8, pp. 522-529, 2019.
J. R. Root, S. K. Cox, and S. Gonzalez, "Using Modified Schema-Based Instruction with Technology-Based Supports to Teach Data Analysis," Research and Practice for Persons with Severe Disabilities, vol. 44, no. 1, pp. 53-68, 2019
J. R. Root, S. K. Cox, N. Hammons, A. F. Saunders, and D. Gilley, "Contextualizing mathematics: Teaching problem solving to secondary students with intellectual and developmental disabilities," Intellectual and Developmental Disabilities, vol. 56, no. 6, pp. 442-457, 2018
D. D. Samo, Darhim, and B. G. Kartasasmita, "Culture-based contextual learning to increase the problem-solving ability of first year university student," Journal on Mathematics Education, vol. 9, no. 1, pp. 81-93, 2018.
A. Savard and E. Polotskaia, "Who's wrong? Tasks fostering understanding of mathematical relationships in word problems in elementary students," ZDM Mathematics Education, vol. 49, pp. 823-833, 2017
Z. Shen, V. Popov, A. B. Delahay et al., "Item strength affects working memory capacity," Memory & Cognition, vol. 46, pp. 204-215, 2018.
M. Shin and D. P. Bryant, "Improving the Fraction Word Problem Solving of Students With Mathematics Learning Disabilities: Interactive Computer Application," Remedial and Special Education, vol. 38, no. 2, pp. 76-86, 2017.
P. G. Sidney, C. A. Thompson, and F. Rivera, "Number lines, but not area models, support children's accuracy and conceptual models of fraction division," Contemporary Educational Psychology, 2019.
I. M. Suarsana, I. A. P. D. Lestari, and N. M. S. Mertasari, "The Effect of Online Problem Posing on Students' Problem-Solving Abilitiy in Mathematics," International Journal of Instruction, vol. 12, no. 1, pp. 809-820, 2019.
P. Supontawanit and S. Lertlit, "Usage of reading comprehension to enhance word problem solving skills in mathematics," Journal of English Educators Society, vol. 6, no. 2, pp. 260-266, 2021.
H. L. Swanson and M. McMurran, "The impact of working memory training on near and far transfer measures: Is it all about fluid intelligence?" Child Neuropsychology, vol. 24, no. 3, pp. 370-395, 2018.
S. A. Tachie, "Meta-cognitive Skills and Strategies Application: How this Helps Learners in Mathematics Problem-solving," Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 5, pp. 1702, 2019.
H. Viitala, "Emma's mathematical thinking, problem solving and affect," 2015.
S. S. Wu, L. Chen, C. Battista, A. K. Smith Watts, E. G. Willcutt, and V. Menon, "Distinct influences of affective and cognitive factors on children's non-verbal and verbal mathematical abilities," Cognition, vol. 166, pp. 118-129, 2017.
J. B. W. Yeo, "Development of a Framework to Characterise the Openness of Mathematical Tasks," International Journal of Science and Mathematics Education, vol. 15, pp. 175-191, 2017.
A. E. Young and F. C. Worrell, "Comparing Metacognition Assessments of Mathematics in Academically Talented Students," Gifted Child Quarterly, vol. 62, no. 3, pp. 259-275, 2018.
P. Yuanita, H. Zulnaidi, and E. Zakaria, "The effectiveness of Realistic Mathematics Education approach: The role of mathematical representation as mediator between mathematical belief and problem solving," PLoS ONE, vol. 13, no. 9, pp. e0204847, 2018.
V. G. Zakirova, N. A. Zelenina, L. M. Smirnova, and O. A. Kalugina, "Methodology of Teaching Graphic Methods for Solving Problems with Parameters as a Means to Achieve High Mathematics Learning Outcomes at School," Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 9, pp. 1741, 2019.
DOI: 10.15408/inprime.v6i2.41418
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