Abstract
This study examined the relationship of 979 middle school students’ perceptions of their mathematics classroom environment to their motivation and achievement. Structural equation modeling indicated that motivational variables (utility, personal achievement goals, efficacy) mediated the influence of perceived teacher expectations, teacher support and use of reform practices on mathematics standardised test scores. Our study provides empirical evidence that students’ perceptions that their teachers believe that they are capable of learning and understanding mathematics positively relate to their Mastery and Performance Goal orientations and mathematics Utility. Further, we found an interaction between students’ perceptions of the frequency of reform practice use in their mathematics classroom and mathematics efficacy. For students with lower mathematics efficacy, their perceptions of more frequent use of reform practices in their mathematics class related to higher standardised test performance. For students with higher mathematics efficacy, perceived use of reform practices did not significantly relate to standardised test performance. These data suggest that frequent exposure to reform practices is especially critical for students who judge themselves as being less capable in mathematics and who are lower performers. This finding differs from prior research that has suggested that reform practice use benefits higher achievers but not lower achievers. An important implication of our study is the need for coordinated, ongoing professional development that highlights reform pedagogy and beliefs while also focusing on student motivation theories and strategies.
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References
Ames, C., & Archer, J. (1988). Achievement goals in the classroom: Students’ learning strategies and motivation processes. Journal of Educational Psychology, 80, 260–267.
Anderman, E. M., & Wolters, C. A. (2006). Goals, values, and affect: Influences on student motivation. In P. A. Alexander & P. H. Winne (Eds.), Handbook of educational psychology (2nd ed., pp. 369–389). Mahwah, NJ: Lawrence Erlbaum.
Arbuckle, J. L. (2006). AMOS (Version 7.0). Chicago, IL: SmallWaters Corporation.
Bandura, A., Barbaranelli, C., Carpara, G. V., & Pastorelli, C. (1996). Multifaceted impact of self-efficacy beliefs on academic functioning. Child Development, 67, 1206–1222.
Bouchey, H. A., & Harter, S. (2005). Reflected appraisals, academic self-perceptions, and math/science performance during early adolescence. Journal of Educational Psychology, 97, 673–686.
Byrne, B. M. (2001). Structural equation modeling with AMOS: Basic concepts, applications, and programming. Mahwah, NJ: Lawrence Erlbaum.
Byrne, B. M. (2005). Factor analytic models: Viewing the structure of an assessment instrument from three perspectives. Journal of Personality Assessment, 85, 17–32.
Chouinard, R., Karsenti, T., & Roy, N. (2007). Relations among competence beliefs, utility value, achievment goals, and effort in mathematics. British Journal of Educational Psychology, 77, 501–517.
Cole, J. S., Bergin, D. A., & Whittaker, T. A. (2008). Predicting student achievement for low stakes testing with effort and task value. Contemporary Educational Psychology, 33, 609–624.
Darling-Hammond, L. (2009). America’s commitment to equity will determine our future. Phi Delta Kappan, 91, 8–14.
Desimone, L. M., Smith, T. M., & Frisvold, D. E. (2010). Survey measures of classroom instruction: Comparing student and teacher reports. Educational Policy, 24, 267–329.
Dorman, J. P. (2001). Associations between classroom environment and academic efficacy. Learning Environments Research, 4, 243–257.
Eccles, J., Adler, T. F., Futterman, R., Goff, S. B., Kaczala, C. M., Meece, J. L., et al. (1983). Expectancies, values, and academic behaviors. In J. T. Spence (Ed.), Perspectives on achievement and achievement motivation (pp. 75–146). San Francisco: Freeman.
Eccles, J., & Wigfield, A. (1995). In the mind of the actor: The structure of adolescents’ achievement task values and expectancy-related beliefs. Personality and Social Psychology Bulletin, 21, 215–225.
Ellis, M. W., Malloy, C. E., Meece, J. L., & Sylvester, P. R. (2007). Convergence of observer ratings and student perceptions of reform practices in sixth-grade mathematics classrooms. Learning Environments Research, 10, 1–15.
Gilbert, M. C. (2007). Applying contemporary views of mathematical proficiency to the examination of the relationship of motivation and mathematics achievement (Doctoral dissertation). Retrieved from ProQuest Dissertations & Theses database. (Publication No. AAT 3276164).
Gilbert, M C., Martin, W. G., & Karabenick, S.A. (2007, January). Changing mathematics teachers’ beliefs and practices through the use of student data and ongoing professional development. Paper presented at the annual meeting of the Association of Mathematics Teacher Educators, Irvine, CA.
Hamilton, L. S., McCaffrey, D. F., Stecher, B. M., Klein, S. P., Robyn, A., & Bugliari, D. (2003). Studying large-scale reforms of instructional practice: An example from mathematics and science. Educational Evaluation and Policy Analysis, 25(1), 1–29.
Harter, S. (1998). The development of self-representations. In W. Damon (Series ed.) & N. Eisenberg (Vol. ed.), Handbook of child psychology: Vol. 3. Social, emotional, and personality development (5th ed., pp. 553–618). New York: Wiley.
Hu, L., & Bentler, P. M. (1998). Fit indices in covariance structure modeling: Sensitivity to under parameterized model misspecification. Psychological Methods, 424–453.
Jong, C., Pedulla, J. J., Reagan, E. M., Salomon-Fernandez, Y., & Cochran-Smith, M. (2010). Exploring the link between reformed teaching practices and pupil learning in elementary school mathematics. School Science and Mathematics, 110, 309–326.
Jussim, L., & Eccles, J. (1992). Teacher expectations II: Construction and reflection of student achievement. Journal of Personality and Social Psychology, 63, 947–961.
Jussim, L., Robustelli, S. L., & Cain, T. R. (2009). Teacher expectations and self-fulfilling prophecies. In K. R. Wentzel & A. Wigfield (Eds.), Handbook of motivation in school (pp. 349–380). New York: Routledge.
Karabenick, S. A. (1994). Relation of perceived teacher support of student questioning to students’ beliefs about teacher attributions for questioning and perceived classroom learning environment. Learning and Individual Differences, 6, 187–204.
Le, V., Lockwood, J. R., Stecher, B. M., Hamilton, L. S., & Martinez, J. (2009). A longitudinal investigation of the relationship between teachers’ self-reports of reform-oriented instruction and mathematics and science achievement. Educational Evaluation and Policy Analysis, 31, 200–220.
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, 197–213.
Ma, J. Y., & Singer-Gabella, M. (2011). Learning to teach in the figured world of reform mathematics: Negotiating new models of identity. Journal of Teacher Education, 62, 8–22.
Maehr, M. L., & Zusho, A. (2009). Achievement goal theory: The past, present, and future. In K. R. Wentzel & A. Wigfield (Eds.), Handbook of motivation in school (pp. 77–104). New York: Taylor Francis.
Marsh, H. W., Koller, O., Trautwein, U., Ludtke, O., & Baumert, J. (2005). Academic self-concept, interest, grades, and standardized test scores: Reciprocal effects of causal ordering. Child Development, 76, 397–416.
Martin, W. G., Strutchens, M. E., Woolley, M. E., & Gilbert, M. C. (2011). Transforming mathematics teachers’ attitudes and practices through intensive professional development. In D. J. Brahier (Ed.), Motivation and disposition: Pathways to learning mathematics (Seventh-third yearbook) (pp. 291–303). Reston, VA: National Council of Teachers of Mathematics.
Mayer, D. P. (1998). Do new teaching standards undermine performance on old tests? Educational Evaluation and Policy Analysis, 20(2), 53–73.
Meece, J. L., Wigfield, A., & Eccles, J. S. (1990). Predictors of math anxiety and its influence on young adolescents’ course enrollment intentions and performance in mathematics. Journal of Educational Psychology, 82, 60–70.
Middleton, M. (2004). Motivating through challenge: Promoting a positive press for learning. In P. R. Pintrich & M. L. Maehr (Eds.), Motivating students, improving schools: The legacy of Carol Midgley (pp. 209–231). Boston: Elsevier.
Middleton, M. J., & Midgley, C. (2002). Beyond motivation: Middle school students’ perceptions of press for understanding in math. Contemporary Educational Psychology, 27, 373–391.
Midgley, C., Maehr, M. L., Hruda, L. Z., Anderman, E., Anderman, L., Freeman, K. E., et al. (2000). Manual for the Patterns of Adaptive Learning Scales (PALS). Ann Arbor, MI: University of Michigan.
Murayama, K., & Elliot, A. J. (2009). The joint influence of personal achievement goals and classroom goal structures on achievement-related outcomes. Journal of Educational Psychology, 101, 432–447.
Murdock, T. B. (1999). The social context of risk: Status and motivational predictors of alienation in middle school. Journal of Educational Psychology, 91, 62–75.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
No Child Left Behind Act of 2001, Pub. L. No. 107-110, Rec. 1425. 115 Stat. (2002).
Patrick, H., Anderman, L. H., Ryan, A. M., Edelin, K. C., & Midgley, C. (2001). Teachers’ communication of goal orientations in four fifth-grade classrooms. Elementary School Journal, 102, 35–58.
Patrick, H., Ryan, A. M., & Kaplan, A. (2007). Early adolescents’ perceptions of the classroom social environment, motivational beliefs, and engagement. Journal of Educational Psychology, 99, 83–98.
Pintrich, P. R. (2000). Multiple goals, multiple pathways: The role of goal orientation in learning and achievement. Journal of Educational Psychology, 92, 544–555.
Romberg, T. A., & Kaput, J. J. (1999). Mathematics worth teaching, mathematics worth understanding. In E. Fennema & T. A. Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 3–17). Mahwah, NJ: Lawrence Erlbaum.
Sawada, D., Piburn, M. D., Judson, E., Turley, J., Falconer, K., Benford, R., et al. (2002). Measuring reform practices in science and mathematics classrooms: The reformed teaching observation protocol. School Science and Mathematics, 102, 245–253.
Saxe, G. B., Gearhart, M., & Seltzer, M. (1999). Relations between classroom practices and student learning in the domain of fractions. Cognition and Instruction, 17(1), 1–24.
Skaalvik, E. M. (1997). Self-enhancing and self-defeating ego orientation: Relations with task and avoidance orientation, achievement, self-perceptions, and anxiety. Journal of Educational Psychology, 89, 71–81.
SPSS. (2008). Version 16. Chicago, IL: SPSS Inc.
Stipek, D., Givvin, K. B., Salmon, J. M., & MacGyvers, V. L. (1998). Can a teacher intervention improve classroom practices and student motivation in mathematics? Journal of Experimental Education, 66, 319–337.
Trickett, E. J., & Moos, R. H. (1973). Social environment of junior high and high school classrooms. Journal of Educational Psychology, 65, 93–102.
Turner, J. C., & Patrick, H. (2004). Motivational influences on student participation in classroom learning activities. Teachers College Record, 106, 1759–1785.
Wigfield, A., & Cambria, J. (2010). Students’ achievement values, goal orientations, and interest: Definitions, development, and relations to achievement outcomes. Developmental Review, 30, 1–35.
Wigfield, A., & Eccles, J. (1992). The development of achievement task values: A theoretical analysis. Developmental Review, 12, 265–310.
Wigfield, A., & Eccles, J. (2000). Expectancy-value theory of achievement motivation. Contemporary Educational Psychology, 25(1), 68–81.
Wolters, C. A. (2004). Advancing achievement goal theory: Using goal structures and goal orientations to predict students’ motivation, cognition, and achievement. Journal of Educational Psychology, 96, 236–250.
Woolley, M. E., Strutchens, M. E., Gilbert, M. C., & Martin, W. G. (2010). Mathematics success of Black middle school students: Direct and indirect effects of teacher expectations and reform practices. The Negro Educational Review, 61(1–4), 41–59.
Acknowledgments
The research reported here was supported by grants from the National Science Foundation (NSF) to Transforming East Alabama Mathematics (TEAM-Math; EHR No. 0314959) and to the Math and Science Partnership-Motivation Assessment Program (MSP-MAP; EHR No. 0335369). Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. A version of this study was presented at the 2009 annual meeting of the American Educational Research Association in San Diego, CA.
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Gilbert, M.C., Musu-Gillette, L.E., Woolley, M.E. et al. Student perceptions of the classroom environment: Relations to motivation and achievement in mathematics. Learning Environ Res 17, 287–304 (2014). https://doi.org/10.1007/s10984-013-9151-9
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DOI: https://doi.org/10.1007/s10984-013-9151-9