The affective domain has been of interest to mathematics educators and researchers for many years. However, there has been a lack of clarity about the nature and make-up of the affective domain, and so in this chapter we begin by first discussing a conceptual background and framework of affect in relation to mathematics education. This is a contested space, and so we outline an understanding of mathematical affect as including beliefs, values, attitudes and emotions, and this will underpin the empirical and theoretical work reported in this book. The relationship between affect and mathematics and mathematics education is specifically discussed, to this end the concept of mathematical identity is posited as a way to include affective, cognitive and conative aspects of learning. Finally, all these aspects of learning mathematics are considered in the light of middle schooling and adolescent students.
- Mathematics education
- Affective domain
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It seems that in the literature the term ‘math anxiety’ has been widely accepted rather than ‘mathematics anxiety’ or the more common Australian expression, ‘maths anxiety’. This probably reflects the strong American base for this concept.
Of course, this is a simplification, because students do not simply hold to a singular belief about mathematics.
The work of Attard (2014) on promoting engagement in mathematical learning is helpful here.
Attard, C. (2014). I don’t like it, I don’t love it, but I do it and I don’t mind: Introducing a framework for engagement with mathematics. Curriculum Perspectives, 34(3), 1–14.
Australian Mathematical Sciences Institute (AMSI). (2014). Maths for the future: Keep Australia competitive.
Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449–466.
Bishop, A. J. (2000). Down from the ivory tower—Bringing research into the classroom: What values do you teach when you teach mathematics? Vinculum, 37(2), 24–27.
Bishop, A. J., FitzSimons, G. E., Seah, W. T., & Clarkson, P. C. (1999). Values in mathematics education. Paper presented at the combined AARE/NZARE conference, Melbourne.
Brown, M., Brown, P., & Biddy, T. (2008). I would rather die: Reasons given by 16-year-olds for not continuing their study of mathematics. Research in Mathematics Education, 10(1), 3–18.
Buerk, D. (1985). The voices of women making meaning in mathematics. Journal of Education, 167(3), 59–70.
Cates, G. L., & Rhymer, K. N. (2003). Examining the relationship between mathematics anxiety and mathematics performance: An instructional hierarchy perspective. Journal of Behavioral Education, 12, 23–34.
Cheeseman, J., & Mornane, A. (2014). Primary students’ perceptions of their mathematics learning. In J. Anderson, M. Cavanagh, & A. Prescott (Eds.), Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia) (pp. 135–142). Sydney: MERGA.
Clarkson, P. C., & Bishop, A. J. (1999). Values and mathematics education. Paper presented at the conference of the International Commission for the Study and Improvement of Mathematics Education (CIEAEM51), University College, Chichester, UK.
Clarkson, P. C., FitzSimons, G. E., & Seah, W. T. (1999). Values relevant to mathematics? I’d like to see that! In D. Tynam, N. Scott, K. Stacey, G. Asp, J. Dowsey, H. Hollingsworth & B. McRae (Eds.), Mathematics: Across the ages. Melbourne: Mathematics Association of Victoria.
Department of Education and Training (n.d.) Literacy and Numeracy Fact sheet. Retrieved http://education.qld.gov.au/literacyandnumeracy/pdf/factsheet-l-n.pdf.
Dimarakis, N., Bobis, J., Way, J., & Anderson, J. (2014). I just need to believe in myself more: The mathematical self-belief of Year 7 students. In J. Anderson, M. Cavanagh, & A. Prescott (Eds.), Curriculum in focus: Research guided practice (Proceedings of the 37 th annual conference of the Mathematics Education Research Group of Australasia) (pp. 183–190). Sydney: MERGA.
Fennema, E., & Sherman, J. A. (1976). Fennema-Sherman Mathematics Attitudes Scales: Instruments designed to measure attitudes towards the learning of mathematics by males and females. Abstracted in the JSAS Catalog of Selected Documents in Psychology, 6(1), 31. (Ms No. 1225)
FitzSimons, G., Seah, W. T., Bishop, A., & Clarkson, P. C. (2001). Beyond numeracy: Values in the mathematics classroom. In J. Bobis, B. Perry, & M. Mitchelmore (Eds.), Numeracy and beyond (Proceedings of the twenty-fourth annual conference of the Mathematics Education Research Group of Australasia (pp. 202–209). Sydney: MERGA.
Foucault, M. (1984). The subject and power. In B. Wallis (Ed.), Art after postmodernism (pp. 229–252). Chicago, IL: The University of Chicago Press.
Frenzel, A. C., Pekrun, R., & Goetz, T. (2007). Girls and mathematics—A hopeless” issue? A control-value approach to gender differences in emotions towards mathematics. European Journal of Psychology of Education, 22(4), 497–514.
Furinghetti, F., & Pehkonen, E. (2002). Rethinking characterization of beliefs. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 39–57). Dordrecht: Kluwer.
Furner, J. M. (2000). The effects of a math curriculum course on the beliefs of preservice teachers regarding the National Council of Teachers of Mathematics’ standards. Issues in the Undergraduate Preparation of School Teachers, 2. Retrieved September 4, 2011 from the World Wide Web: http://www.k-12prep.math.ttu.edu/journal/pedagogy/volume.shtml.
Goodykoontz, E. (2008). Factors that affect college students’ attitude towards mathematics. http://books.google.com.au/books?id=hUxXCBmVYlQC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false.
Green, T. (1971). The activities of teaching. New York: McGraw-Hill.
Grootenboer, P. J. (2003). Preservice primary teachers’ affective development in mathematics. Unpublished doctoral dissertation, University of Waikato, NZ.
Grootenboer, P. J. (2008). Mathematical belief change in preservice primary teachers. Journal of Mathematics Teacher Education, 11(6), 479–497.
Grootenboer, P. J. (2010). Primary teachers’ affective development in mathematics: Developing positive beliefs, attitudes and feelings about mathematics. Saarbrücken, Germany: Lambert Academic Publishing.
Grootenboer, P. J., Smith, T., & Lowrie, T. (2006). Researching identity in mathematics education: The lay of the land. In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.), Identities, cultures and learning spaces (Proceedings of the 29th annual conference of Mathematics Education Research Group of Australasia (Vol. 2, pp. 612–615). Canberra, Australia: MERGA.
Hailikari, T., Nevgi, A., & Komulainen, E. (2008). Academic self-beliefs and prior knowledge as predictors of student achievement in mathematics: a structural model. Educational Psychology: An International Journal of Experimental Educational Psychology, 28(1), 59–71.
Hannula, M. (2006). Affect in mathematical thinking and learning. In J. Maaβ & W. Schlöeglmann (Eds.), New mathematics education research and practice. Sense: Rotterdam.
Hannula, M., Bofah, E., Tuohilampi, L., & Mestämuuronen, J. (2014). A longitudinal analysis of the relationship between mathematics-related affect and achievement in Finland. In S. Oesterle, P. Liljedahl, P. Nicol, & D. Allan (Eds.), Proceedings of the Joint Meeting of PME 38 and PME-NA 36 (Vol. 3, pp. 249–256). Vancouver, Canada: PME.
Harkness, S., D’ambrosio, B., & Morrone, A. (2007). Preservice elementary teachers’ voices describe how their teacher motivated them to do mathematics. Educational Studies in Mathematics, 65(2), 235.
Hersh, R. (1985). Some proposals for reviewing the philosophy of mathematics. In T. Tymoczko (Ed.), New directions in the philosophy of mathematics. Birkhäuser: Boston, MA.
Holland, D., Lachicotte, W., Skinner, D., & Cain, C. (1998). Identity and agency in cultural worlds. Cambridge, MA: Harvard University Press.
Hubbard, B. (2001). Picking up pebbles on the beach. New Zealand Education Review 10.
Isiksal, M., Curran, J. M., Koc, Y., & Askun, C. S. (2009). Mathematics anxiety and mathematical self-concept: Considerations in preparing elementary-school teachers. Social Behavior and Personaility, 37(5), 631–644.
Jackson, C. D., & Leffingwell, R. J. (1999). The role of instructor in creating math anxiety in students from kindergarten through college. Mathematics Teacher, 92(7), 583–586.
Jorgensen, R., Grootenboer, P., Niesche, R., & Lerman, S. (2010). Challenges for teacher education: the mismatch between beliefs and practice in remote Indigenous contexts. Asia Pacific Journal of Teacher Education, 32(2), 161–175.
Kloosterman, P. (2002). Beliefs about mathematics and mathematics learning in the secondary school: Measurement and the implications for motivation. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 247–269). Dordrecht: Kluwer.
Larkin, K. & Jorgensen, R. (2015). I hate maths: Why do we need to do maths? Using video diaries to investigate attitudes and emotions towards mathematics in year three and year six students. International Journal of Science and Mathematics Education, doi:10.1007/s10763-015-9621-x.
Leder, G. (1992). Attitudes to mathematics. Mathematics Education Research Journal, 4(3), 1–7.
Leder, G., & Forgasz, H. (2002). Measuring mathematical beliefs and their impact on learning of mathematics: A new approach. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 95–113). Dordrecht: Kluwer.
Leder, G., & Grootenboer, P. (2005). Affect and mathematics education. Mathematics Education Research Journal, 17(2), 1–8.
Lomas, G., Grootenboer, P., & Attard, C. (2012). The affective domain in mathematics education. In B. Perry, T. Lowrie, T. Logan, A. MacDonald, & J. Greenlees (Eds.), Research in mathematics education in Australasia 2008-2011 (pp. 23–38). Amsterdam: Sense.
Ma, X. (1997). Reciprocal relationships between attitude toward mathematics and achievement in mathematics. The Journal of Educational Research, 90(4), 221–229.
Ma, X. (1999). A meta-analysis of the relationship between anxiety and toward mathematics and achievement in mathematics. Journal for Research in Mathematics Education, 30, 502–540.
Ma, X., & Kishnor, D. (1997). Attitude toward self. Social factors, and achievement in mathematics: A meta-analytic review. Journal for Research in Mathematics Education, 28(1), 26–47.
Macher, D., Paechter, M., Papousek, I., & Ruggeri, K. (2012). Statistics anxiety, trait anxiety, learning behaviour, and academic performance. European Journal of Psychology of Education, 27, 483–498.
McDonough, A., & Sullivan, P. (2014). Seeking insights into young children’s beliefs about mathematics and learning. Educational Studies in Mathematics, doi:10.1007/s16049-014-9565-z.
McGregor, D. (2014). Does inquiry-based learning affect students’ beliefs and attitudes toward mathematics. In J. Anderson, M. Cavanagh & A. Prescott (Eds.). Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia) pp. 453–460. Sydney: MERGA
McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 575–596). New York: Macmillan.
Mosvold, R., & Fauskanger, J. (2014). Teachers’ beliefs about mathematical knowledge for teaching definitions. International Electronic Journal of Mathematics Education, 8(2–3), 43–61.
Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332.
Pekrun, R., Frenzel, A. C., Goetz, T., & Perry, R. P. (2007). The control-value theory of achievement emotions: An integrative approach to emotions in education. In P. A. Schultz & R. Pekrun (Eds.), emotions in education (pp. 13–37). London: Academic.
Philipp, R. A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (Vol. 1). USA: National Council of Teachers of Mathematics.
Radisic, J., Videnovic, M., & Baucal, A. (2014). Math anxiety—contributing school and individual level factors. European Journal of Psychology of Education,. doi:10.1007/s10212-014-0224-7.
Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula (Ed.), Handbook of research on teacher education (2nd ed.) (pp. 102–119). New York: Association of Teacher Educators.
Rokeach, M. (1968). Beliefs, attitudes and values: A theory of organisational change. San Francisco, CA: Jossey-Bass.
Rokeach, M. (1973). The nature of human values. New York, NY: The Free Press.
Seah, W. T., & Barkatsas, T. (2014). What Australian primary school students value in mathematics learning: A WIFI Preliminary Study. In J. Anderson, M. Cavanagh, & A. Prescott (Eds.), Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia) (pp. 565–572). Sydney: MERGA.
Swars, S. L., Daane, C. L., & Giesen, J. (2007). Mathematics anxiety and mathematics teacher efficacy: What is the relationship in preservice elementary teachers? School Science and Mathematics, 106(7), 306–315.
Tillema, H. H. (2000). Belief change towards self-directed learning in student-teachers: Immersion in practice or reflection on action. Teaching and Teacher Education, 16, 575–591.
Wesson, C. J., & Derrer-Rendall, N. M. (2011). Self-beliefs and student goal achievement. Psychology Teaching Review, 17(1), 3–12.
Wilkins, J., & Brand, B. (2004). Change in preservice teachers’ beliefs: an evaluation of a mathematics methods course. School Science and Mathematics, 104(5), 226–232.
Yee, L. S. (2010). Mathematics attitudes and achievement of junior college students in Singapore. In L. Sparrow, B. Kissane, & C. Hurst (Eds.), Shaping the future of mathematics education (Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia, Fremantle (pp. 681–688). Fremantle, WA: MERGA.
Young-Loveridge, J., Taylor, M., Sharma, S., & Hawera, N. (2006). Students’ perspectives on the nature of mathematics. In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.), Identities, cultures and learning spaces (Proceedings of the 29th annual conference of Mathematics Education Research Group of Australasia (Vol. 2, pp. 583–590). Canberra, Australia: MERGA.
Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematics, 63(2), 113–121.
Zembylas, M. (2003). Emotions and teacher identity: A poststructural perspective. Teachers and Teaching: theory and practice, 9(3), 213–238.
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Grootenboer, P., Marshman, M. (2016). The Affective Domain, Mathematics, and Mathematics Education. In: Mathematics, Affect and Learning. Springer, Singapore. https://doi.org/10.1007/978-981-287-679-9_2
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