Main Article Content
Abstract
Research on mathematical representations has predominantly emphasized their cognitive and conceptual benefits; however, limited attention has been given to their emotional dimensions, especially within culturally grounded or ethnomathematical contexts. This gap is critical because emotions play a significant role in shaping preservice teachers’ engagement and long-term attitudes toward mathematics. Addressing this issue, the present study introduces a novel perspective by examining how mathematical representations influence the affective responses of prospective primary teachers when tasks are embedded in cultural practices. Employing a mixed-methods design, the study involved 62 preservice teachers who completed a patterning task based on the Javanese Sedekah Bumi ceremony, followed by a researcher-developed questionnaire measuring enjoyment. The results reveal that 79.03% of participants successfully translated verbal descriptions into graphical forms, reflecting a strong visual preference, and that flexible use of multiple representations (72.54%) enhanced both conceptual understanding and positive emotional engagement. Conversely, reliance on a single representation was associated with lower confidence and reduced enjoyment. Notably, 19.35% of participants explicitly reported that the integration of cultural elements increased their motivation and interest. These findings highlight the potential of culturally embedded mathematical tasks not only to foster representational fluency but also to enrich the affective domain, offering valuable implications for the design of teacher education curricula that promote both cognitive and emotional development in mathematics learning.
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References
- Abdulrahim, N. A., & Orosco, M. J. (2020). Culturally Responsive Mathematics Teaching: A Research Synthesis. Urban Review, 52(1). https://doi.org/10.1007/s11256-019-00509-2
- Agup, R. M., & Agup, R. S. (2020). In Math, Culture Also Counts: A Case Study on the Integration of Ilokano Culture in Teaching Mathematics. Asian Journal of Education and Human Development (AJEHD), 1(1), 1–8. https://doi.org/10.69566/ajehd.v1i1.2
- Alghar, M. Z., Susanti, E., & Marhayati, M. (2022). Ethnomathematics: Arithmetic Sequence Patterns of Minangkabau Carving on Singok Gonjong. Jurnal Pendidikan Matematika (JUPITEK), 5(2), 145–152. https://doi.org/10.30598/jupitekvol5iss2pp145-152
- Batchelor, S., Torbeyns, J., & Verschaffel, L. (2019). Affect and mathematics in young children: an introduction. Educational Studies in Mathematics, 100(3), 201–209. https://doi.org/10.1007/s10649-018-9864-x
- Blanco, L. J., Barona, E. G., & Carrasco, A. C. (2013). Cognition and affect in mathematics problem solving with prospective teachers. Mathematics Enthusiast, 10(1–2), 335–364. https://doi.org/10.54870/1551-3440.1270
- Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning (Revised & expanded ed.). In Studies in mathematical thinking and learning. Routledge. https://doi.org/https://doi.org/10.4324/9781410606365
- Cox, R. (1999). Representation construction, externalised cognition and individual differences. Learning and Instruction, 9(4), 343–363. https://doi.org/10.1016/S0959-4752(98)00051-6
- D’Ambrosio, U., & Paulo, S. (2001). General Remarks on Ethnomathematics. In ZDM (Vol. 33, Issue 3). http://www.fiz-karlsruhe.de/
- De Abreu, G., & Cline, T. (2003). Schooled mathematics and cultural knowledge. Pedagogy, Culture and Society, 11(1), 11–30. https://doi.org/10.1080/14681360300200158
- d’Entremont, Y. (2015). Linking Mathematics, Culture and Community. Procedia - Social and Behavioral Sciences, 174, 2818–2824. https://doi.org/10.1016/j.sbspro.2015.01.973
- Ferreira. (2024). The Importance of Teaching Mathematical Number Sequences: Strategies and Approaches. RCMOS-Revista Científica Multidisciplinar O Saber, 1(1), 1–6. https://doi.org/http://lattes.cnpq.br/8081351926653339
- García García, J. (2014). El contexto cultural y la resolución de problemas: vistos desde el salón de clases de una comunidad Ñuu Savi. Revista Latinoamericana de Etnomatemática, 7 (1), 50–73.
- Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). Cultural effects on the mental number line. In Journal of Cross-Cultural Psychology . 42 (4), pp. 541–542). https://doi.org/10.1177/0022022111406019
- Goldin, G. A. (2020). Mathematical Representations. In Encyclopedia of Mathematics Education (pp. 409–413). Springer, Cham. https://doi.org/10.1007/978-94-007-4978-8_103
- Gómez- Chacón, I. (2011). Beliefs and Strategies of Identity in Mathematical Learning. Current State of Research on Mathematical Beliefs. XVII Proceedings of the MAVI-17 Conference.
- Gómez-Chacón, I. M. (2000). Affective influences in the knowledge of mathematics. Educational Studies in Mathematics, 43(2). https://doi.org/10.1023/A:1017518812079
- Griffin, S. (2009). Learning Sequences in the Acquisition of Mathematical Knowledge: Using Cognitive Developmental Theory to Inform Curriculum Design for Pre-K-6 Mathematics Education. Journal Compilation © 2009 International Mind, Brain, and Education Society and Blackwell Publishing, 3(2), 96–107. https://doi.org/https://doi.org/10.1111/mbe.2009.3.issue-210.1111/j.1751-228X.2009.01060.x
- Hannula, M. S. (2020). Affect in Mathematics Education. In Encyclopedia of Mathematics Education (pp. 32–36). Springer.
- Harding-Dekam, J. L. (2007). Foundations in Ethnomathematics for Prospective Elementary Teachers. The Journal of Mathematics and Culture, 2(1). https://digscholarship.unco.edu/stefacpub/1?utm_source=digscholarship.unco.edu%2Fstefacpub%2F1&utm_medium=PDF&utm_campaign=PDFCoverPages
- Heffernan, K., Peterson, S., Kaplan, A., & Newton, K. J. (2020). Intervening in Student Identity in Mathematics Education: An Attempt to Increase Motivation to Learn Mathematics. International Electronic Journal of Mathematics Education, 15(3). https://doi.org/10.29333/iejme/8326
- Hutchison, L., & McAlister-Shields, L. (2020). Culturally responsive teaching: Its application in higher education environments. Education Sciences, 10(5). https://doi.org/10.3390/educsci10050124
- Janvier, C. (1987). Problems of Representation in the Teaching and Learning of Mathematics. Lawrence Erlbaum Associates.
- Kintsch, W. (1986). Learning from Text. In Cognition and Instruction (2nd ed., Vol. 3, Issue 2, pp. 87–108). Lawrence Erlbaum Associates, Inc. https://www.jstor.org/stable/3233533
- Koedinger, K. R., & Terao, A. (2019). A Cognitive Task Analysis of Using Pictures To Support Pre-Algebraic Reasoning. Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society.
- Ladson-Billings, G. (1995). Toward a Theory of Culturally Relevant Pedagogy. American Educational Research Journal, 32(3). https://doi.org/10.3102/00028312032003465
- Madusise, S. (2015). Revista Latinoamericana de Etnomatemática Cultural villages as contexts for mediating culture and mathematics education in the South African curriculum Aldeas culturales como contextos para la mediación de la cultura y la educación matemática en el currículo de Sudáfrica. In Revista Latinoamericana de Etnomatemática (Vol. 8). http://www.redalyc.org/articulo.oa?id=274041586002
- Mariyam, Wahyuni Rika, Citroresmi P. Nindy, Husna Nurul, Yani Ahmad, Masriani, & Mursidi Andi. (2023). Model Concept Sentence Learning Based on Multiethnic Daycare to Facilitate the Translation Ability Mathematical Representations of Junior High School Students. In Learning Technology for Education Challenges.
- McLeod, D. B. (1992). Research on Affect in Mathematics Education: A Reconceptualization. In Handbook of research on mathematics teaching and learning (pp. 575–596). Macmillan Publishing Company.
- Musawwir, A., Suryadi, D., & Kusnandi. (2021). The exploration of ethnomathematics based on Rapa’i Geleng dance as mathematics learning media. Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012046
- Mustangin, M., Suwarsono, S., & Lukito, A. (2020). The Representation of Students’ Mathematical Concepts in Algebraic Problems Solving Based on Mathematical Ability. International Journal of Trends in Mathematics Education Research, 3(2), 117–121. https://doi.org/https://doi.org/10.33122/ijtmer.v3i2.151
- Nurrahmawati, Sa’dijah, C., Sudirman, & Muksar, M. (2021). Assessing students’ errors in mathematical translation: From symbolic to verbal and graphic representations. International Journal of Evaluation and Research in Education, 10(1), 115–125. https://doi.org/10.11591/ijere.v10i1.20819
- Nuryami, Y. F. (2023). Integration of Culture and Islam in Learning Mathematics in The Independent Curriculum. JSRET (Journal of Scientific, Research, Education, and Technology), 2(3), 2023.
- Olive, J. (2000). Children’s Number Sequences: An Explanation of Steffe’s Constructs and an Extrapolation to Rational Numbers of Arithmetic. The Mathematics Educator, 11, 4–9. https://www.researchgate.net/publication/242298873
- Pangestuti, S., Prahmana, R. C. I., & Fran, F. A. (2024). Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game. Jurnal Elemen, 10(2), 441–458. https://doi.org/10.29408/jel.v10i2.25621
- Pape, S. J., & Tchoshanov, M. A. (2001). The role of representation(s) in developing mathematical understanding. Theory into Practice, 40(2), 118–127. https://doi.org/10.1207/s15430421tip4002_6
- Pasnak, R., Schmerold, K. L., Robinson, M. F., Gadzichowski, K. M., Bock, A. M., O’Brien, S. E., Kidd, J. K., & Gallington, D. A. (2016). Understanding number sequences leads to understanding mathematics concepts. Journal of Educational Research, 109(6), 640–646. https://doi.org/10.1080/00220671.2015.1020911
- Radford, L. (2008). Iconicity and contraction: A semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM - International Journal on Mathematics Education, 40(1). https://doi.org/10.1007/s11858-007-0061-0
- Rosa, M., & Orey, D. C. (2011). Ethnomathematics: the cultural aspects of mathematics Etnomatemática: os aspectos culturais da matemática. Revista Latinoamericana de Etnomatemática, 4(2), 32–54.
- Rosyidin, M. A., & Rosyidi, A. H. (2022). Translation Failure from Verbal to Symbolic Representations on Contextual Mathematics Problems: Female vs Male. In JRPIPM. 5 (2).
- Schliemann, A. D. (2002). Representational Tools and Mathematical Understanding. In Source: The Journal of the Learning Sciences.. 11(3).
- Silva, M. C. A. L., Silva, J. A. da, & Souza, R. M. de A. (2022). The construction of the mathematics teaching process in an affective approach. International Journal of Human Sciences Research, 2(39), 2–11. https://doi.org/10.22533/at.ed.5582392215122
- Skinner, E. A., & Belmont, M. J. (1993). Motivation in the Classroom: Reciprocal Effects of Teacher Behavior and Student Engagement Across the School Year. Journal of Educational Psychology, 85(4), 571–581. https://doi.org/10.1037/0022-0663.85.4.571
- Thorup Eich-Høy, A. (2023). “I have never encountered an exercise as confusing as this one”: Mathematical representations and affect in an urban escape booklet. Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13. https://doi.org/10.4135/9781071802755
- Webb, N. M., Gold, K., & Ql, S. (1990). Mathematical Problem-Solving Processes and Performance: Translation among Symbolic Representations.
- Wenger, E. (1998). Communities of Practice: Learning, Meaning, and Identity. Systems Thinker, 9. https://doi.org/10.2277/0521663636
- Wood, L. N. (2000). Communicating Mathematics Across Culture and Time (pp. 1–12). https://doi.org/10.1007/978-94-011-4301-1_1
- Zazkis, R., & Liljedahl, P. (2002). Arithmetic sequence as a bridge between conceptual fields. Canadian Journal of Science, Mathematics and Technology Education, 2(1), 91–118. https://doi.org/10.1080/14926150209556501
- Zulianto, R., & Teguh Budiarto, M. (2020). Kemampuan Translasi Representasi Matematis Siswa Kelas VIII SMP dalam Menyelesaikan Soal Kontekstual. JKPM (Jurnal Kajian Pendidikan Matematika), 5(2), 313–327. http://journal.lppmunindra.ac.id/index.php/jkpm/
References
Abdulrahim, N. A., & Orosco, M. J. (2020). Culturally Responsive Mathematics Teaching: A Research Synthesis. Urban Review, 52(1). https://doi.org/10.1007/s11256-019-00509-2
Agup, R. M., & Agup, R. S. (2020). In Math, Culture Also Counts: A Case Study on the Integration of Ilokano Culture in Teaching Mathematics. Asian Journal of Education and Human Development (AJEHD), 1(1), 1–8. https://doi.org/10.69566/ajehd.v1i1.2
Alghar, M. Z., Susanti, E., & Marhayati, M. (2022). Ethnomathematics: Arithmetic Sequence Patterns of Minangkabau Carving on Singok Gonjong. Jurnal Pendidikan Matematika (JUPITEK), 5(2), 145–152. https://doi.org/10.30598/jupitekvol5iss2pp145-152
Batchelor, S., Torbeyns, J., & Verschaffel, L. (2019). Affect and mathematics in young children: an introduction. Educational Studies in Mathematics, 100(3), 201–209. https://doi.org/10.1007/s10649-018-9864-x
Blanco, L. J., Barona, E. G., & Carrasco, A. C. (2013). Cognition and affect in mathematics problem solving with prospective teachers. Mathematics Enthusiast, 10(1–2), 335–364. https://doi.org/10.54870/1551-3440.1270
Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning (Revised & expanded ed.). In Studies in mathematical thinking and learning. Routledge. https://doi.org/https://doi.org/10.4324/9781410606365
Cox, R. (1999). Representation construction, externalised cognition and individual differences. Learning and Instruction, 9(4), 343–363. https://doi.org/10.1016/S0959-4752(98)00051-6
D’Ambrosio, U., & Paulo, S. (2001). General Remarks on Ethnomathematics. In ZDM (Vol. 33, Issue 3). http://www.fiz-karlsruhe.de/
De Abreu, G., & Cline, T. (2003). Schooled mathematics and cultural knowledge. Pedagogy, Culture and Society, 11(1), 11–30. https://doi.org/10.1080/14681360300200158
d’Entremont, Y. (2015). Linking Mathematics, Culture and Community. Procedia - Social and Behavioral Sciences, 174, 2818–2824. https://doi.org/10.1016/j.sbspro.2015.01.973
Ferreira. (2024). The Importance of Teaching Mathematical Number Sequences: Strategies and Approaches. RCMOS-Revista Científica Multidisciplinar O Saber, 1(1), 1–6. https://doi.org/http://lattes.cnpq.br/8081351926653339
García García, J. (2014). El contexto cultural y la resolución de problemas: vistos desde el salón de clases de una comunidad Ñuu Savi. Revista Latinoamericana de Etnomatemática, 7 (1), 50–73.
Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). Cultural effects on the mental number line. In Journal of Cross-Cultural Psychology . 42 (4), pp. 541–542). https://doi.org/10.1177/0022022111406019
Goldin, G. A. (2020). Mathematical Representations. In Encyclopedia of Mathematics Education (pp. 409–413). Springer, Cham. https://doi.org/10.1007/978-94-007-4978-8_103
Gómez- Chacón, I. (2011). Beliefs and Strategies of Identity in Mathematical Learning. Current State of Research on Mathematical Beliefs. XVII Proceedings of the MAVI-17 Conference.
Gómez-Chacón, I. M. (2000). Affective influences in the knowledge of mathematics. Educational Studies in Mathematics, 43(2). https://doi.org/10.1023/A:1017518812079
Griffin, S. (2009). Learning Sequences in the Acquisition of Mathematical Knowledge: Using Cognitive Developmental Theory to Inform Curriculum Design for Pre-K-6 Mathematics Education. Journal Compilation © 2009 International Mind, Brain, and Education Society and Blackwell Publishing, 3(2), 96–107. https://doi.org/https://doi.org/10.1111/mbe.2009.3.issue-210.1111/j.1751-228X.2009.01060.x
Hannula, M. S. (2020). Affect in Mathematics Education. In Encyclopedia of Mathematics Education (pp. 32–36). Springer.
Harding-Dekam, J. L. (2007). Foundations in Ethnomathematics for Prospective Elementary Teachers. The Journal of Mathematics and Culture, 2(1). https://digscholarship.unco.edu/stefacpub/1?utm_source=digscholarship.unco.edu%2Fstefacpub%2F1&utm_medium=PDF&utm_campaign=PDFCoverPages
Heffernan, K., Peterson, S., Kaplan, A., & Newton, K. J. (2020). Intervening in Student Identity in Mathematics Education: An Attempt to Increase Motivation to Learn Mathematics. International Electronic Journal of Mathematics Education, 15(3). https://doi.org/10.29333/iejme/8326
Hutchison, L., & McAlister-Shields, L. (2020). Culturally responsive teaching: Its application in higher education environments. Education Sciences, 10(5). https://doi.org/10.3390/educsci10050124
Janvier, C. (1987). Problems of Representation in the Teaching and Learning of Mathematics. Lawrence Erlbaum Associates.
Kintsch, W. (1986). Learning from Text. In Cognition and Instruction (2nd ed., Vol. 3, Issue 2, pp. 87–108). Lawrence Erlbaum Associates, Inc. https://www.jstor.org/stable/3233533
Koedinger, K. R., & Terao, A. (2019). A Cognitive Task Analysis of Using Pictures To Support Pre-Algebraic Reasoning. Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society.
Ladson-Billings, G. (1995). Toward a Theory of Culturally Relevant Pedagogy. American Educational Research Journal, 32(3). https://doi.org/10.3102/00028312032003465
Madusise, S. (2015). Revista Latinoamericana de Etnomatemática Cultural villages as contexts for mediating culture and mathematics education in the South African curriculum Aldeas culturales como contextos para la mediación de la cultura y la educación matemática en el currículo de Sudáfrica. In Revista Latinoamericana de Etnomatemática (Vol. 8). http://www.redalyc.org/articulo.oa?id=274041586002
Mariyam, Wahyuni Rika, Citroresmi P. Nindy, Husna Nurul, Yani Ahmad, Masriani, & Mursidi Andi. (2023). Model Concept Sentence Learning Based on Multiethnic Daycare to Facilitate the Translation Ability Mathematical Representations of Junior High School Students. In Learning Technology for Education Challenges.
McLeod, D. B. (1992). Research on Affect in Mathematics Education: A Reconceptualization. In Handbook of research on mathematics teaching and learning (pp. 575–596). Macmillan Publishing Company.
Musawwir, A., Suryadi, D., & Kusnandi. (2021). The exploration of ethnomathematics based on Rapa’i Geleng dance as mathematics learning media. Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012046
Mustangin, M., Suwarsono, S., & Lukito, A. (2020). The Representation of Students’ Mathematical Concepts in Algebraic Problems Solving Based on Mathematical Ability. International Journal of Trends in Mathematics Education Research, 3(2), 117–121. https://doi.org/https://doi.org/10.33122/ijtmer.v3i2.151
Nurrahmawati, Sa’dijah, C., Sudirman, & Muksar, M. (2021). Assessing students’ errors in mathematical translation: From symbolic to verbal and graphic representations. International Journal of Evaluation and Research in Education, 10(1), 115–125. https://doi.org/10.11591/ijere.v10i1.20819
Nuryami, Y. F. (2023). Integration of Culture and Islam in Learning Mathematics in The Independent Curriculum. JSRET (Journal of Scientific, Research, Education, and Technology), 2(3), 2023.
Olive, J. (2000). Children’s Number Sequences: An Explanation of Steffe’s Constructs and an Extrapolation to Rational Numbers of Arithmetic. The Mathematics Educator, 11, 4–9. https://www.researchgate.net/publication/242298873
Pangestuti, S., Prahmana, R. C. I., & Fran, F. A. (2024). Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game. Jurnal Elemen, 10(2), 441–458. https://doi.org/10.29408/jel.v10i2.25621
Pape, S. J., & Tchoshanov, M. A. (2001). The role of representation(s) in developing mathematical understanding. Theory into Practice, 40(2), 118–127. https://doi.org/10.1207/s15430421tip4002_6
Pasnak, R., Schmerold, K. L., Robinson, M. F., Gadzichowski, K. M., Bock, A. M., O’Brien, S. E., Kidd, J. K., & Gallington, D. A. (2016). Understanding number sequences leads to understanding mathematics concepts. Journal of Educational Research, 109(6), 640–646. https://doi.org/10.1080/00220671.2015.1020911
Radford, L. (2008). Iconicity and contraction: A semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM - International Journal on Mathematics Education, 40(1). https://doi.org/10.1007/s11858-007-0061-0
Rosa, M., & Orey, D. C. (2011). Ethnomathematics: the cultural aspects of mathematics Etnomatemática: os aspectos culturais da matemática. Revista Latinoamericana de Etnomatemática, 4(2), 32–54.
Rosyidin, M. A., & Rosyidi, A. H. (2022). Translation Failure from Verbal to Symbolic Representations on Contextual Mathematics Problems: Female vs Male. In JRPIPM. 5 (2).
Schliemann, A. D. (2002). Representational Tools and Mathematical Understanding. In Source: The Journal of the Learning Sciences.. 11(3).
Silva, M. C. A. L., Silva, J. A. da, & Souza, R. M. de A. (2022). The construction of the mathematics teaching process in an affective approach. International Journal of Human Sciences Research, 2(39), 2–11. https://doi.org/10.22533/at.ed.5582392215122
Skinner, E. A., & Belmont, M. J. (1993). Motivation in the Classroom: Reciprocal Effects of Teacher Behavior and Student Engagement Across the School Year. Journal of Educational Psychology, 85(4), 571–581. https://doi.org/10.1037/0022-0663.85.4.571
Thorup Eich-Høy, A. (2023). “I have never encountered an exercise as confusing as this one”: Mathematical representations and affect in an urban escape booklet. Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13. https://doi.org/10.4135/9781071802755
Webb, N. M., Gold, K., & Ql, S. (1990). Mathematical Problem-Solving Processes and Performance: Translation among Symbolic Representations.
Wenger, E. (1998). Communities of Practice: Learning, Meaning, and Identity. Systems Thinker, 9. https://doi.org/10.2277/0521663636
Wood, L. N. (2000). Communicating Mathematics Across Culture and Time (pp. 1–12). https://doi.org/10.1007/978-94-011-4301-1_1
Zazkis, R., & Liljedahl, P. (2002). Arithmetic sequence as a bridge between conceptual fields. Canadian Journal of Science, Mathematics and Technology Education, 2(1), 91–118. https://doi.org/10.1080/14926150209556501
Zulianto, R., & Teguh Budiarto, M. (2020). Kemampuan Translasi Representasi Matematis Siswa Kelas VIII SMP dalam Menyelesaikan Soal Kontekstual. JKPM (Jurnal Kajian Pendidikan Matematika), 5(2), 313–327. http://journal.lppmunindra.ac.id/index.php/jkpm/