This paper explores and describes learners’ mindsets and their influence on mathematics learning. I draw on Dweck’s mindsets theories and Illeris’ social learning theory to understand learners’ mindsets and their relations to the learning of mathematics. A qualitative research method was employed, and data was collected from one High School in Gauteng Province, South Africa. An in-depth interview of ten learners was conducted. The interview covers a range of questions relating to mindsets and mathematical learning. A discursive analysis was used to analyze learners’ interviews. The findings of the study reveal that high achievers in mathematics learning demonstrate growth mindsets within the three dimensions of learning, and low achievers demonstrate fixed mindsets within the cognitive and emotional dimensions, and growth mindset within the social dimension. It is therefore concluded that mindsets are socially constructed and have an influence on the learners’ achievements in mathematics. Based on this finding, for effective learning of subjects like mathematics, there is a strong need for interventions to support learners’ development of growth mindsets, particularly within the cognitive and emotional dimensions of learning.
References
[1]
Abdulhamid, L., & Venkat, H. (2018). Primary Mathematics Teachers’ Responses to Students’ Offers: An “Elaboration” Framework. Journal of Mathematical Behavior, 51, 80-94. https://doi.org/10.1016/j.jmathb.2017.08.007
[2]
Adolphus, T. (2011). Problems of Teaching and Learning of Geometry in Secondary Schools in Rivers State, Nigeria. International Journal of Emerging Sciences, 1, 143-152.
[3]
Ali, I., Bhagawati, S., & Sarmah, J. (2014). Performance of Geometry among the Secondary School Students of Bhurbandha CD Block of Morigaon District, Assam, India. International Journal of Innovative Research and Development, 3, 73-77.
[4]
Anthony, G., & Walshaw, M. (2009). Effective Pedagogy in Mathematics. UNESCO and International Bureau of Education, Educational Practices Series 19, Gonnet Imprimeur.
[5]
Attard, C. (2011). “My Favourite Subject Is Mathematics. For Some Reason No-One Really Agrees with Me”: Student Perspectives of Mathematics Teaching and Learning in the Upper Primary Classroom. Mathematics Education Research Journal, 23, 363-377.
https://doi.org/10.1007/s13394-011-0020-5
[6]
Badyal, D. K., & Singh, T. (2017). Learning Theories: The Basics to Learn in Medical Education. International Journal of Applied and Basic Medical Research, 7, S1-S3.
https://doi.org/10.4103/ijabmr.IJABMR_385_17
[7]
Bansilal, S., Webb, L., & James, A. (2015). Teacher Training for Mathematical Literacy: A Case Study Taking the Past into the Future. South African Journal of Education, 35, 1-10.
[8]
Barnes, H. E. (2009). Pre-Service Teachers’ Mathematics Profiles and the Influence Thereof on Their Instructional Behavior. PhD Thesis, University of Pretoria, Pretoria.
[9]
Bernecker, K., & Job, V. (2019). Mindset Theory. In K. Sassenberg, & M. L. W. Vliek (Eds.), Social Psychology in Action (pp. 179-191). Springer.
https://doi.org/10.1007/978-3-030-13788-5_12
[10]
Bernstein, B. (1973a). Class, Codes and Control (Vol. 2). Routledge & Kegan Paul.
[11]
Bernstein, B. (1973b). On the Classification and Framing of Educational Knowledge. In R. Brown (Ed.), Knowledge, Education, and Cultural Change. Routledge.
[12]
Bernstein, B. (1975). Class, Codes and Control Volume 3: Towards a Theory of Educational Transmissions. Routledge & Kegan Paul.
[13]
Bishop, J. P. (2012). “She’s Always Been the Smart One. I’ve Always Been the Dumb One”: Identities in the Mathematics Classroom. Journal for Research in Mathematics Education, 43, 34-74. https://doi.org/10.5951/jresematheduc.43.1.0034
[14]
Blackwell, L. S., Trzesniewski, K. H., & Dweck, C. S. (2007). Implicit Theories of Intelligence Predict Achievement across an Adolescent Transition: A Longitudinal Study and an Intervention. Child Development, 78, 246-263.
https://doi.org/10.1111/j.1467-8624.2007.00995.x
[15]
Boaler, J. (2013). Ability and Mathematics: The Mindset Revolution That Is Reshaping Education. Forum, 55, 143-152. https://doi.org/10.2304/forum.2013.55.1.143
[16]
Boaler, J. (2016). Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages, and Innovative Teaching (1st ed.). PB Printing.
[17]
Boaler, J., William, D., & Zevenbergen, R. (2000). The Construction of Identity in Secondary Mathematics Education. In The International Mathematics Education and Society Conference (pp. 26-31). Montechoro.
[18]
Cann, R. (2009). Girls’ Participation in Post-16 Mathematics: A View from Pupils in Wales. Gender and Education, 21, 651-669.
https://doi.org/10.1080/09540250802680065
[19]
Cohen, L., Manion, L., & Morrison, K. (2007). Research Methods in Education (6th ed.). Routledge. https://doi.org/10.4324/9780203029053
[20]
Creswell, J. (2012). Educational Research. Pearson.
[21]
Darragh, L. (2013). Constructing Confidence and Identities of Belonging in Mathematics at the Transition to Secondary School. Research in Mathematics Education, 15, 215-229.
https://doi.org/10.1080/14794802.2013.803775
[22]
Department of Basic Education (2014). National Senior Certificate Examination School Subject Report. Department of Basic Education, South Africa.
[23]
Department of Education (2002). Revised National Curriculum Statement (Grader-9). Department of Education, South Africa.
[24]
Dweck, C. S. (2000). Self-Theories: Their Role in Motivation, Personality, and Development. Taylor & Francis Group.
[25]
Dweck, C. S. (2006). Mindset: The New Psychology of Success. Random House.
[26]
Dweck, C. S. (2007). Is Math a Gift? Beliefs That Put Females at Risk. In S. J. Ceci, & W. Williams (Eds.), Why Aren’t More Women in Science? Top Researchers Debate the Evidence (pp. 47-55). American Psychological Association.
[27]
Dweck, C. S. (2012). Personal Communication, Teaching Mathematics for a Growth Mindset Workshop. Stanford University.
[28]
Dweck, C. S. (2013a). Mindset. http://en.wikipedia.org/wiki/Mindset
[29]
Dweck, C. S. (2013b). Mindset—The New Psychology of Success at Happiness and Its Causes. https://www.youtube.com/watch?v=QGvR_0mNpWM
[30]
Dweck, C. S. (2013c). Teaching a Growth Mindset’ at Young Minds.
https://www.youtube.com/watch?v=kXhbtCcmsyQ
[31]
Ertmer, P. A., & Newby, T. J. (2013). Behaviorism, Cognitivism, Constructivism: Comparing Critical Features from an Instructional Design Perspective. Performance Improvement Quarterly, 26, 43-71. https://doi.org/10.1002/piq.21143
[32]
Fontana, A., & Frey, J. H. (2000). The Interview: From Structured Questions to Negotiated Text. In N. K. Denzin, & Y. S. Lincoln (Eds.), The Sage Handbook of Qualitative Research (2nd ed., pp. 645-672). Sage.
[33]
Haimovitz, K., & Dweck, C. S. (2017). The Origins of Children’s Growth and Fixed Mindsets: New Research and a New Proposal. Child Development, 88, 1849-1859.
https://doi.org/10.1111/cdev.12955
[34]
Heyd-Metzuyanim, E. (2013). The Co-Construction of Learning Difficulties in Mathematics-Teacher-Student Interactions and Their Role in the Development of a Disabled Mathematical Identity. Educational Studies in Mathematics, 83, 341-368.
https://doi.org/10.1007/s10649-012-9457-z
[35]
Illeris, K. (2002). The Three Dimensions of Learning: Contemporary Learning Theory in the Tension Field between the Cognitive, the Emotional and the Social. NIACE.
[36]
Illeris, K. (2003). Towards a Contemporary and Comprehensive Theory of Learning. Int. Journal of Lifelong Education, 22, 396-406. https://doi.org/10.1080/02601370304837
[37]
Illeris, K. (2007). How We Learn: Learning and Non-Learning in School and Beyond. Routledge. https://doi.org/10.4324/9780203939895
[38]
Illeris, K. (2009). A Comprehensive Understanding of Human Learning. In K. Illeris (Ed.), Contemporary Theories of Learning (pp. 7-20). Routledge.
https://doi.org/10.4324/9780203870426
[39]
Illeris, K. (2015). The Development of a Comprehensive and Coherent Theory of Learning. European Journal of Education, 50, 29-40. https://doi.org/10.1111/ejed.12103
[40]
Jansen, J. (1999). A Very Noisy OBE: The Implementation of OBE in Grade 1 Classrooms. In J. Jansen, & P. Christie (Eds.). Changing Curriculum: Studies on Outcomes-Based Education in South Africa (pp. 203-218). Juta.
[41]
Leder, G. C., & Taylor, P. J. (2010). Are Raelene, Marjorie, and Betty Still in the Race? Australian Mathematics Teacher, 66, 17-24.
[42]
Maliki, A. E., Ngban, A. N., & Ibu, J. E. (2009). Analysis of Students’ Performance in Junior Secondary School Mathematics Examination in Bayelsa State of Nigeria. Studies on Home and Community Science, 3, 131-134.
https://doi.org/10.1080/09737189.2009.11885288
[43]
Martin, D. B. (2006). Mathematics Learning and Participation as Racialized Forms of Experience: African American Parents Speak on the Struggle for Mathematics Literacy. Mathematical Thinking and Learning, 8, 197-229.
https://doi.org/10.1207/s15327833mtl0803_2
[44]
Mbugua, Z. K., Kibet, K., Muthaa, G. M., & Nkonke, G. R. (2012). Factors Contributing to Students’ Poor Performance in Mathematics at Kenya Certificate of Secondary Education in Kenya: A Case of Baringo County, Kenya. American International Journal of Contemporary Research, 2, 87-91.
[45]
McMillan, J. H., & Schumacher, S. (2010). Research in Education: Evidence-Based Inquiry. Pearson Education.
[46]
Mercer, S., & Ryan, S. (2010). A Mindset for EFL: Learners’ Beliefs about the Role of Natural Talent. ELT Journal, 64, 436-444. https://doi.org/10.1093/elt/ccp083
[47]
Moore, M. (2018). Mindset and Mathematics in an All-Girls Secondary School. PhD Thesis, Charles Sturt University.
[48]
Murray, S. (2011). Secondary Students’ Descriptions of “Good” Mathematics Teachers. Australian Mathematics Teacher, 67, 14-20.
[49]
Nasir, N. S., & Hand, V. M. (2006). Exploring Socio-Cultural Perspectives on Race, Culture, and Learning. Review of Educational Research, 76, 449-475.
https://doi.org/10.3102/00346543076004449
[50]
Patton, M. Q. (2002). Qualitative Research and Evaluation Methods (3rd ed.). Sage.
[51]
Reyes, L. H., & Stanic, G. M. A. (1998). Race, Sex, Socioeconomic Status, and Mathematics. Journal for Research in Mathematics Education, 19, 26-43.
https://doi.org/10.5951/jresematheduc.19.1.0026
[52]
Schratz, M. (2006). Leading and Learning: Odd Couple’ or Powerful Match? Leading and Managing, 12, 40-53.
[53]
Schunk, D. H. (2012). Learning Theories—An Educational Perspective (6th ed.). Pearson.
[54]
Shively, R. L., & Ryan, C. S. (2013). Longitudinal Changes in College Math Students’ Implicit Theories of Intelligence. Social Psychology of Education, 16, 241-256.
https://doi.org/10.1007/s11218-012-9208-0
[55]
Sibiya, M. R., & Mudaly, V. (2018). The Effects of the Geoboard on Learner Understanding of Geometry Theorems. International Journal of Sciences and Research, 74, 90-98.
https://doi.org/10.21506/j.ponte.2018.11.8
[56]
Strauch, C. C., & Alomar, M. J. (2014). Critical Analysis of Learning Theories and Ideologies and Their Impact on Learning: “Review Article”. The Online Journal of Counseling and Education, 3, 62-77.
[57]
Suter, W. N. (2012). Introduction to Educational Research: A Critical Thinking Approach. Sage. https://doi.org/10.4135/9781483384443
[58]
Tirri, K., & Kujala, T. (2016). Students’ Mindsets for Learning and Their Neural Underpinnings. Psychology, 7, 1231-1239. https://doi.org/10.4236/psych.2016.79125
[59]
Tshabalala, T., & Ncube, A. C. (2013). Causes of Poor Performance of Ordinary Level Pupils in Mathematics in Rural Secondary Schools in Nkayi District: Learner’s Attributions. Nova Journal of Medical and Biological Sciences, 1, 4-14.
[60]
Uwerhiavwe, A. A. (2014). The Impact of Teacher Development and Student Preparation in Mathematics Education in Senior Secondary Schools in Delta State, Nigeria: A Collective Case Study. Master’s Dissertation, Memorial University of Newfoundland.
[61]
Van Aalderen-Smeets, S. I., & Walma Van Der Molen, J. H. (2018). Modeling the Relation between Students’ Implicit Beliefs about Their Abilities and Their Educational STEM Choices. International Journal of Technology and Design Education, 28, 1-27.
https://doi.org/10.1007/s10798-016-9387-7
[62]
Vermeer, A. (2012). 15 Benefits of the Growth Mindset.
https://alexvermeer.com/15-benefits-growth-mindset/
[63]
Weber, E. (2008). Educational Change in South Africa: Reflections on Local Realities, Practices, and Reforms. Sense Publishers. https://doi.org/10.1163/9789087906603
[64]
Wenger, E. (1998). Communities of Practice. Learning, Meaning and Identity. Cambridge University Press. https://doi.org/10.1017/CBO9780511803932
[65]
Wenger, E. (2009). A Social Theory of Learning. In K. Illeris (Ed.). Contemporary Theories of Learning (pp. 209-218). Routledge.
[66]
Yeager, D. S., & Dweck, C. S. (2012). Mindsets That Promote Resilience: When Students Believe That Personal Characteristics Can Be Developed. Educational Psychologist, 47, 302-314. https://doi.org/10.1080/00461520.2012.722805
[67]
Yong, D. (2017). Growth Mindset and Learning about Equity, Diversity, and Inclusion.
https://profteacher.com/2017/04/24/growth-mindset-and-learning-about-diversity-and-inclusion/
[68]
Zhang, J., Kuusisto, E., & Tirri, K. (2017). How Teachers’ and Students’ Mindsets in Learning Have Been Studied: Research Findings on Mindset and Academic Achievement. Psychology, 8, 1363-1377. https://doi.org/10.4236/psych.2017.89089
