Abstract
In many OECD countries, including Australia, attention is required to examine and solve the problem of low levels of engagement in, and aspiration for, advanced mathematics among students coming from economically disadvantaged backgrounds. Not only are students from disadvantaged backgrounds in Australia overrepresented among those who fail to meet the benchmark in national and international tests of school mathematics; they are also underrepresented in mathematics-related degree programs at the university level. Few from disadvantaged groups have shown sustained aspirations for learning mathematics. It is, therefore, important to understand what motivates and sustains disadvantaged students’ aspirations and engagement in mathematics. In this chapter, classroom observations and interview data derived from a longitudinal study will be used to discuss the extent to which disadvantaged students’ aspiration is being promoted in their math classes. Based on the results, this chapter discusses classroom practices that are crucial for offering students the opportunity to aspire for deep learning in mathematics.
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References
Ames, C. (1992). Classrooms: Goals, structures, and student motivation. Journal of educational psychology, 84(3), 261.
Assor, A., Kaplan, H., & Roth, G. (2002). Choice is good, but relevance is excellent: Autonomy-enhancing and suppressing teacher behaviours predicting students’ engagement in schoolwork. British Journal of Educational Psychology, 72(2), 261–278.
Aunola, K., Leskinen, E., & Nurmi, J. E. (2006). Developmental dynamics between mathematical performance, task motivation, and teachers’ goals during the transition to primary school. British Journal of Educational Psychology, 76(1), 21–40.
Balfanz, R., Herzog, L., & Mac Iver, D. J. (2007). Preventing student disengagement and keeping students on the graduation path in urban middle grades schools: Early identification and effective interventions. Educational Psychologist, 42(4), 223–235.
Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Englewood Cliffs: Prentice Hall.
Bandura, A. (1997). Self-efficacy: The exercise of control. New York: Macmillan.
Barrington, F. (2013). Update on the year 12 mathematics student numbers. Melbourne: AMSI.
Bong, M. (2001). Between-and within-domain relations of academic motivation among middle and high school students: Self-efficacy, task value, and achievement goals. Journal of Educational Psychology, 93(1), 23–34. https://doi.org/10.1037/0022-0663.93.1.23
Borman, G. D., & Overman, L. T. (2004). Academic resilience in mathematics among poor and minority students. The Elementary School Journal, 104(3), 177–195.
Cerasoli, C. P., Nicklin, J. M., & Ford, M. T. (2014). Intrinsic motivation and extrinsic incentives jointly predict performance: A 40-year meta-analysis. Psychological Bulletin, 140(4), 980–1008.
Chouinard, R., Karsenti, T., & Roy, N. (2007). Relations among competence beliefs, utility value, achievement goals, and effort in mathematics. British Journal of Educational Psychology, 77(3), 501–517.
Chouinard, R., & Roy, N. (2008). Changes in high-school students’ competence beliefs, utility value and achievement goals in mathematics. British Journal of Educational Psychology, 78(1), 31–50.
Csikszentmihalyi, M. (1990). Flow: The psychology of optimal experience. New York: Harper Perennial.
Deci, E. L., Vallerand, R. J., Pelletier, L. G., & Ryan, R. M. (1991). Motivation in education: The self-determination perspective. Educational Psychologist, 26(3-4), 325–346.
Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53(1), 109–132.
Eccles, J. S., Wigfield, A., & Schiefele, U. (1998). Motivation to succeed. In W. Damon & N. Eisenberg (Eds.), Handbook of child psychology (Vol. 3, 5th ed., pp. 1017–1095). Hoboken, NJ: Wiley.
Frenzel, A. C., Goetz, T., Pekrun, R., & Watt, H. M. G. (2010). Development of mathematics interest in adolescence: Influences of gender, family, and school context. Journal of Research on Adolescence, 20(2), 507–537.
Garon-Carrier, G., Boivin, M., Guay, F., Kovas, Y., Dionne, G., Lemelin, J. P., et al. (2016). Intrinsic motivation and achievement in mathematics in elementary school: A longitudinal investigation of their association. Child Development, 87(1), 165–175.
Haberman, M. (1991). Pedagogy of poverty versus good teaching. Phi Delta Kappan, 73(4), 290–294.
Hagger, M. S., Sultan, S., Hardcastle, S. J., & Chatzisarantis, N. L. (2015). Perceived autonomy support and autonomous motivation toward mathematics activities in educational and out-of-school contexts is related to mathematics homework behavior and attainment. Contemporary Educational Psychology, 41, 111–123.
Harackiewicz, J. M., Rozek, C. S., Hulleman, C. S., & Hyde, J. S. (2012). Helping parents to motivate adolescents in mathematics and science: An experimental test of a utility value intervention. Psychological Science, 23(8), 899–906. https://doi.org/10.1177/0956797611435530
Hulleman, C. S., Godes, O., Hendricks, B. L., & Harackiewicz, J. M. (2010). Enhancing interest and performance with a utility value intervention. Journal of Educational Psychology, 102(4), 880–895.
Kennedy, J., Lyons, T., & Quinn, F. (2014). The continuing decline of science and mathematics enrolments in Australian high schools. Teaching Science: The Journal of the Australian Science Teachers Association, 60(2), 34–46.
Khattab, N. (2015). Students’ aspirations, expectations and school achievement: What really matters? British Educational Research Journal, 41(5), 731–748.
Kiemer, K., Gröschner, A., Pehmer, A. K., & Seidel, T. (2015). Effects of a classroom discourse intervention on teachers’ practice and students’ motivation to learn mathematics and science. Learning and Instruction, 35, 94–103.
Krapp, A. (2005). Basic needs and the development of interest and intrinsic motivational orientations. Learning and Instruction, 15, 381–395.
Lau, S., & Nie, Y. (2008). Interplay between personal goals and classroom goal structures in predicting student outcomes: A multilevel analysis of person-context interactions. Journal of Educational Psychology, 100, 15–29.
Lee, W., Lee, M. J., & Bong, M. (2014). Testing interest and self-efficacy as predictors of academic self-regulation and achievement. Contemporary Educational Psychology, 39(2), 86–99.
León, J., Núñez, J. L., & Liew, J. (2015). Self-determination and STEM education: Effects of autonomy, motivation, and self-regulated learning on high school math achievement. Learning and Individual Differences, 43, 156–163.
Lepper, M. R., Henderlong Corpus, J., & Iyengar, S. S. (2005). Intrinsic and extrinsic motivational orientations in the classroom: Age differences and academic correlates. Journal of Educational Psychology, 97, 184–196.
Linnenbrink, E. A. (2005). The dilemma of performance approach goals: The use of multiple goal contexts to promote students’ motivation and learning. Journal of Educational Psychology, 97(2), 197–213.
Luo, Y. L., Kovas, Y., Haworth, C., & Plomin, R. (2011a). The etiology of mathematical self-evaluation and mathematics achievement: Understanding the relationship using a cross-lagged twin study from ages 9 to 12. Learning and Individual Differences, 21, 710–718.
Ma, X. (1997). Reciprocal relationships between attitude toward mathematics and achievement in mathematics. Journal of Educational Research, 90, 221–229.
Marsh, H. W., Trautwein, U., Ludtke, O., Koller, O., & Baumert, J. (2005). Academic self-concept, interest, grades, and standardized test scores: Reciprocal effects models of causal ordering. Child Development, 76, 397–416.
Martin, A. J., Anderson, J., Bobis, J., Way, J., & Vellar, R. (2012). Switching on and switching off in mathematics: An ecological study of future intent and disengagement among middle school students. Journal of Educational Psychology, 104(1), 1–18.
Martin, D. P., & Rimm-Kaufman, S. E. (2015). Do student self-efficacy and teacher-student interaction quality contribute to emotional and social engagement in fifth grade math? Journal of School Psychology, 53(5), 359–373.
McPhan, G., Morony, W., Pegg, J., Cooksey, R., & Lynch, T. (2008). Maths? Why not? Canberra: Department of Education, Employment and Workplace Relations.
Meece, J. L., Wigfield, A., & Eccles, J. S. (1990). Predictors of math anxiety and its consequences for young adolescents’ course enrollment intentions and performance in mathematics. Journal of Educational Psychology, 82, 60–70.
Meyer, D. K., Turner, J. C., & Spencer, C. A. (1997). Challenge in a mathematics classroom: Students’ motivation and strategies in project-based learning. The Elementary School Journal, 97(5), 501–521.
Middleton, J. A., & Spanias, P. A. (1999). Motivation for achievement in mathematics: Findings, generalizations, and criticisms of the research. Journal for Research in Mathematics Education, 30, 65–88.
Middleton, M. J., Kaplan, A., & Midgley, C. (2004). The change in middle school students’ achievement goals in mathematics over time. Social Psychology of Education, 7(3), 289–311. https://doi.org/10.1037/0022-0663.80.4.514
Murayama, K., Pekrun, R., Lichtenfeld, S., & vom Hofe, R. (2013). Predicting long-term growth in students’ mathematics achievement: The unique contributions of motivation and cognitive strategies. Child Development, 84, 1475–1490.
Nagy, G., Watt, H. M. G., Eccles, J. S., Trautwein, U., Ludtke, O., & Baumert, J. (2010). The development of students’ Mathematics self-concept in relation to gender: Different countries, different trajectories? Journal of Research on Adolescence, 20(2), 482–506.
Ng, C. (2005). Academic self-schemas and their self-congruent learning patterns: Findings verified with culturally different samples. Social Psychology of Education, 8(3), 303–328.
Ng, C. (2014). Examining the self-congruent engagement hypothesis: The link between academic self-schemas, motivation, learning and achievement within an academic year. Educational Psychology, 34(6), 730–762.
Ng, C. (2016). High school students’ motivation to learn mathematics: The role of multiple goals. International Journal of Science and Mathematics Education, 16, 357–375. https://doi.org/10.1007/s10763-016-9780-4
Noyes, A., Wake, G., & Drake, P. (2011). Widening and increasing post-16 mathematics participation: Pathways, pedagogies and politics. International Journal of Science and Mathematics Education, 9, 483–501.
Ntoumanis, N. (2005). A prospective study of participation in optional school physical education based on self-determination theory. Journal of Educational Psychology, 97, 444–453.
Pajares, F., & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24(2), 124−139.
Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203.
Pajares, F., & Schunk, D. (2001). Self-beliefs and school success: Self-efficacy, self-concept, and school achievement. In R. J. Riding & S. G. Rayner (Eds.), International perspectives of individual differences (pp. 239–266). Westport, CT: Ablex.
Pantziara, M., & Philippou, G. N. (2015). Students’ motivation in the mathematics classroom. Revealing causes and consequences. International Journal of Science and Mathematics Education, 13(2), 385–411. https://doi.org/10.1007/s10763-013-9502-0
Parker, P. D., Marsh, H. W., Ciarrochi, J., Marshall, S., & Abduljabbar, A. S. (2014). Juxtaposing math self-efficacy and self-concept as predictors of long-term achievement outcomes. Educational Psychology, 34(1), 29–48.
Patrick, H., Ryan, A. M., & Kaplan, A. (2007). Early adolescents’ perceptions of the classroom social environment, motivational beliefs, and engagement. Journal ofEducational Psychology, 99, 83–98.
Phan, H. P. (2012). The development of English and mathematics self-efficacy: A latent growth curve analysis. Journal of Educational Research, 105, 196–209.
Pintrich, E. A., & Schrauben, B. (1992). Students’ motivational beliefs and their cognitive engagement in classroom academic tasks. In D. H. Schunk & J. L. Meece (Eds.), Student perceptions in the classroom (pp. 149–183). Hillsdale, NJ: Erlbaum.
Pintrich, P. R. (1999). The role of motivation in promoting and sustaining self-regulated learning. International Journal of Educational Research, 31(6), 459–470.
Reeve, J., & Jang, H. (2006). What teachers say and do to support students’ autonomy during a learning activity. Journal of Educational Psychology, 98, 209–218.
Rozek, C. S., Hyde, J. S., Svoboda, R. C., Hulleman, C. S., & Harackiewicz, J. M. (2015). Gender differences in the effects of a utility-value intervention to help parents motivate adolescents in mathematics and science. Journal of Educational Psychology, 107(1), 195–206.
Ryan, A. M., & Pintrich, P. R. (1997). Should I ask for help? The role of motivation and attitudes in adolescents’ help seeking in math class. Journal of Educational Psychology, 89(2), 329–341.
Ryan, R. M., & Connell, J. P. (1989). Perceived locus of causality and internalization: Examining reasons for acting in two domains. Journal of Personality and Social Psychology, 57, 749–761.
Ryan, R. M., & Deci, E. L. (2002). Overview of self-determination theory: An organismic dialectical perspective. In E. L. Deci & R. M. Ryan (Eds.), Handbook of self-determination research (pp. 3–33). Rochester, NY: University of Rochester Press.
Schoenfeld, A. H. (2014). What makes for powerful classrooms, and how can we support teachers in creating them? A story of research and practice, productively intertwined. Educational Researcher, 43(8), 404–412.
Schunk, D. H. (1985). Participation in goal setting: Effects on self-efficacy and skills of learning-disabled children. Journal of Special Education, 19, 307–317.
Senko, C., Hulleman, C. S., & Harackiewicz, J. (2011). Achievement goal theory at the crossroads: Old controversies, current challenges, and new directions. Educational Psychologist, 46(1), 26–27.
Singh, K., Granville, M., & Dika, S. (2002). Mathematics and science achievement: Effects of motivation, interest, and academic engagement. Journal of Educational Research, 95(6), 323–332.
Skaalvik, E. M. (1997a). Issues in research on self-concept. In M. Meahr & P. R. Pintrich (Eds.), Advances in motivation and achievement (Vol. 10, pp. 51–97). Greenwich, CT: JAI Press Inc.
Skaalvik, E. M. (1997b). Self-enhancing and self-defeating ego orientation: Relations with task and avoidance orientation, achievement, self-perceptions, and anxiety. Journal of Educational Psychology, 89(1), 71.
Skaalvik, E. M., Federici, R. A., & Klassen, R. M. (2015). Mathematics achievement and self-efficacy: Relations with motivation for mathematics. International Journal of Educational Research, 72, 129–136.
Spinath, B., Spinath, F. M., Harlaar, N., & Plomin, R. (2006). Predicting school achievement from general cognitive ability, self-perceived ability, and intrinsic value. Intelligence, 4, 363–374.
Stankov, L., Lee, J., Luo, W., & Hogan, D. J. (2012). Confidence: A better predictor of academic achievement than self-efficacy, self-concept and anxiety? Learning and Individual Differences, 22, 747–758.
Sullivan, P., Clarke, D., & Clarke, B. (2009). Converting mathematics tasks to learning opportunities: An important aspect of knowledge for mathematics teaching. Mathematics Education Research Journal, 21(1), 85–105.
Thomson, S., De Bortoli, L., & Buckley, S. (2013). PISA in brief: Highlights from the full Australian report: PISA 2012: How Australia measures up.
Usher, E. L., & Pajares, F. (2009). Sources of self-efficacy in mathematics: A validation study. Contemporary Educational Psychology, 34(1), 89–101.
Utsumi, M. C., & Mendes, C. R. (2000). Researching the attitudes towards mathematics in basic education. Educational Psychology, 2, 237–244.
Viljaranta, J., Lerkkanen, M.-K., Poikkeus, A.-M., Aunola, K., & Nurmi, J.-E. (2009a). Cross-lagged relations between task motivation and performance in arithmetic and literacy in kindergarten. Learning and Instruction, 19, 335–344.
Viljaranta, J., Nurmi, J.-E., Aunola, K., & Salmela-Aro, K. (2009b). The role of task values in adolescents’ educational tracks: A person-oriented approach. Journal of Research on Adolescence, 19(4), 786–798.
Watt, H. M. G. (2004). Development of adolescents’ self-perceptions, values, and task perceptions according to gender and domain in 7th-through 11th-grade Australian students. Child Development, 75(5), 1556–1574.
Watt, H. M. G. (2006). The role of motivation in gendered educational and occupational trajectories related to maths. Educational Research and Evaluation, 12(4), 305–322.
Wigfield, A., Eccles, J., Mac Iver, D., Reuman, D., & Midgley, C. (1991). Transitions at early adolescence: Changes in children’s domain-specific self-perceptions and general self-esteem across the transition to junior high school. Developmental Psychology, 27, 552–565.
Wigfield, A., & Eccles, J. S. (2000). Expectancy-value theory of motivation. Contemporary Educational Psychology, 25, 68–81.
Wigfield, A., & Eccles, J. S. (2002). The development of competence beliefs, expectancies for success, and achievement values from childhood through adolescence. In A. Wigfield & J. S. Eccles (Eds.), Development of achievement motivation (pp. 91–120). San Diego, CA: Academic Press.
Wong, E. H., Wiest, D. J., & Cusick, L. B. (2002). Perceptions of autonomy support, parent attachment, competence and self-worth as predictors of motivational orientation and academic achievement: An examination of sixth-and-ninth-grade regular education students. Adolescence, 37, 255–266.
Zeldin, A. L., & Pajares, F. (2000). Against the odds: Self-efficacy beliefs of women in mathematical, scientific, and technological careers. American Educational Research Journal, 37(1), 215–246.
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Ng, C., Bartlett, B., Elliott, S.N. (2018). “Opportunity to Aspire”: Promoting Mathematics Engagement and Aspiration for Challenging Mathematics. In: Empowering Engagement . Springer, Cham. https://doi.org/10.1007/978-3-319-94652-8_6
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