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An attempt to identify the issues underlying the lack of consistent conceptualisations in the field of student mathematics-related beliefs


Autoři: José Manuel Diego-Mantecón aff001;  Teresa F. Blanco aff002;  José M. Chamoso aff003;  María José Cáceres aff003
Působiště autorů: Faculty of Science, University of Cantabria, Santander, Spain aff001;  Didácticas Aplicadas, University of Santiago de Compostela, Santiago de Compostela, Spain aff002;  Faculty of Education, University of Salamanca, Salamanca, Spain aff003
Vyšlo v časopise: PLoS ONE 14(11)
Kategorie: Research Article
doi: https://doi.org/10.1371/journal.pone.0224696

Souhrn

This paper aims to clarify the inconsistencies present in the field of student mathematics-related beliefs. Despite the general agreement about the important role that beliefs play in the learning of mathematics, the study of student mathematics-related beliefs has resulted in a body of uncoordinated research. The lack of consensus on defining and classifying beliefs has generated much confusing terminology, preventing a consistent conceptualization of the phenomenon. To identify the problem underlying existing inconsistencies, we have undertaken a systematic review of the literature to analyse the belief conceptualisations proposed by the most cited authors in this field of research. Our analysis suggests that authors often fail to conceptualise beliefs in four important ways: existing theories related to the phenomenon under research are normally not considered; definitions are often too broad and do not clearly confine the construct under evaluation; and existing beliefs sub-constructs are rarely defined and thus not explicitly distinguished. Our study has also revealed that some of the scales developed to measure the belief constructs lack of content and internal validity. We believe that these findings open new lines of research that may help to clarify the field of student mathematics-related beliefs.

Klíčová slova:

Human learning – Learning – Mathematics – Psychology – Psychometrics – Research design – Research validity – Teachers


Zdroje

1. Pajares F. Teachers’ beliefs and educational research: Cleaning up a messy construct. Rev. Educ. Res. 1992;62(3):307–332.

2. Thompson A. Teachers’ beliefs and conceptions: A synthesis of the research. In: Grouws DA, editor. Handbook of research on mathematics teaching and learning. New York: Macmillan; 1992. p. 127–146.

3. Goldin G. Affect, meta-affect, and mathematical belief structures. In: Leder G, Pehkonen E, Törner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p. 59–72.

4. Furinghetti F, Pehkonen E. Rethinking characterizations of belief. In: Leder G, Pehkonen E, Törner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p. 39–57.

5. Hannula MS, Laakso J. The structure of mathematics related beliefs, attitudes and motivation among Finnish grade 4 and grade 8 students. In: Ubuz B, editor. Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education. Vol 1. Ankara, Turkey: PME; 2011. p. 9–16.

6. Underhill R. Focus on Research into Practice in Diagnostic and Prescriptive Mathematics: Mathematics learners’ beliefs: A review. Focus on Learning Problems in Mathematics. 1988;10(1):55–69.

7. McLeod DB. Research on affect in mathematics education: A reconceptualization. In: Grouws DA, editor. Handbook of research on mathematics teaching and learning. New York: Macmillan; 1992. p. 575–596.

8. Pehkonen E. Pupils’ View of Mathematics: Initial report for an international comparison project [Research Report 152]. University of Helsinki: Department of Education; 1995.

9. De Corte E. Mathematics-related beliefs of Ecuadorian students of grades 8–10. Int. J. Educ. Res. 2015;72:1–13.

10. Op’t Eynde P, De Corte E, Verschaffel L. Framing students' mathematics-related beliefs: A quest for conceptual clarity and a comprehensive categorization. In: Leder G, Pehkonen E, Törner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p.13–38.

11. Hannula MS, Di Martino P, Pantziara M, Zhang Q, Morselli F, Heyd-Metzuyanim E, et al. Attitudes, beliefs, motivation, and identity in mathematics education. In: Attitudes, Beliefs, Motivation and Identity in Mathematics Education. Springer, Cham, 2016. p. 1–35.

12. Hannula MS, Garcia Moreno-Esteva E. Identifying subgroups of CERME affect research papers. Dooley T, Gueudet G, editors. Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (CERME10), 2017 Feb 1–5; Dublin, Ireland: DCU Institute of Education and ERM; 2017. p. 1098–1105.

13. Diego-Mantecón JM. Clarifying the Field of Student Mathematics-related Beliefs: Developing Measurement Scales for 14/15-year-old Students Across Bratislava, Cambridgeshire, Cantabria, and Cyprus. Thesis manuscript. University of Cambridge. UK; 2012.

14. De Vellis RF. Scale Development: Theory and Applications. Thousand Oaks, CA: Sage Publications; 2003.

15. Marsh HW. Self-concept theory, measurement and research into practice: The role of self-concept in educational psychology. Leicester, UK: British Psychological Society; 2007.

16. Green TF. The activities of teaching. Tokyo: McGraw-Hill Kogakusha; 1971.

17. LeDoux J. The emotional brain. London: Simon & Schuster; 1998.

18. Keenan T. An Introduction to Child Development. London: Sage Publications; 2002.

19. Bell V, Halligan PW, Ellis HD. A Cognitive Neuroscience of Belief. In: Halligan PW, Aylward M, editors. The Power of Belief: Psychological Influence on Illness, Disability, and Medicine. Oxford: Oxford University Press; 2006. p. 3–20.

20. Bartsch K, Wellman HM. Children talk about the mind. Oxford university press; 1995.

21. Malle BF, Moses LJ, Baldwin DA. Intentions and intentionality: Foundations of social cognition. MIT press. Chicago; 2001.

22. Lewis C, Mitchell P. Children's early understanding of mind: Origins and development. New York: Psychology Press; 2014.

23. Lester FK, Garofalo J, Kroll DL. Self-confidence, interest, beliefs, and metacognition: Key influences on problem solving behavior. In: McLeod D, Adams V, editors. Affect and mathematical problem solving. New York: Springer-Verlag; 1989. p. 75–88.

24. Schoenfeld AH. Mathematical problem solving. Orlando, FL: Academic Press; 1985.

25. Da Ponte JP. Mathematics teachers’ professional knowledge. In: Da Ponte JP, Matos JF, editors. Proceedings of the Eighteenth International Conference for the Psychology of Mathematics Education. Lisbon: University of Lisbon; 1994.

26. Andrews P, Hatch G. A new look at secondary teachers’ conceptions of mathematics and its teaching. Br. Educ. Res. J. 1999;25(3):203–223.

27. Abelson RP. Differences between belief and knowledge systems. Cogn. Sci. 1979;3:355–366.

28. Nespor J. The role of beliefs in the practice of teaching. J. Curric. Stud. 1987;19(4):317–328.

29. Goldin G, Roesken B, Toerner G. Beliefs—no longer a hidden variable in mathematical teaching and learning processes. In: Maasz J, Schloeglmann W, editors. Beliefs and attitudes in mathematics education: New research results Rotterdam: Sense; 2009. p. 1–18.

30. Goldin G. Perspectives on emotion in mathematical engagement, learning, and problem solving. In: Pekrun R, Linnenbrink-Garcia L, editors. International handbook of emotions in education New York: Routledge; 2014. p. 392–414.

31. Mason J. Are beliefs believable. Math. Think. Learn. 2004;6(3):343–352.

32. Aiken LR. Attitudes toward mathematics. Rev. Educ. Res. 1970;40(4): 551–596.

33. Sloman A. Motives, mechanisms and emotions. Cogn. Emot. 1987;1(3):209–216.

34. Leder GC, Forgasz HJ. Measuring mathematical beliefs and their impact on the learning of mathematics: A new approach. In: Leder G, Pehkonen E, Toörner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p. 95–114.

35. Rokeach M. Beliefs, attitudes, and values. San Francisco, CA: Jossey-Bass; 1972.

36. Fishbein M, Ajzen I. Understanding attitudes and predicting social behaviour. London: Prentice Hall; 1980.

37. Grigutsch S, Raatz U, Törner G. Einstellungen gegenüber Mathematik bei Mathematiklehrern. JDM. 1998;19(1):3–45.

38. Törner G, Grigutsch S. “Mathematische Weltbilder” bei Studienanfängern–eine Erhebung. JDM. 1994;15(3/4):211–251.

39. Pehkonen E, Törner G. Introduction to the abstract book for the Oberwolfach meeting on belief research. In: Pehkonen E, Törner G, editors. Mathematical beliefs and their impact on teaching and learning of mathematics. Proceedings of the workshop in Oberwolfach; 1999. p. 3–10.

40. Ernest P. The knowledge, beliefs and attitudes of the mathematics teacher: A model. J. Educ. Teach. 1989;15(1):13–33.

41. Lloyd GM, Wilson M. Supporting innovation: The impact of a teacher’s conceptions on functions on his implementation of a reform curriculum. J. Res. Math. Educ. 1998;29(3):248–274.

42. Saari H. Koulusaavutusten affektiiviset oheissaavutukset. [Affective Consequences of School Achievement] Institute for Educational Research. Publications 348. University of Jyvaskyla [in Finnish]; 1983.

43. Furinghetti F. A theoretical framework for teachers' conceptions. In: Pehkonen E, editor. Current State of Research on Mathematical Beliefs III Proceedings of the MAVI-3 Workshop. Research Report 170. University of Helsinki. Department of Teacher Education; 1996. p.19–25.

44. Freire AM, Sanches MC. Elements for a typology of teachers’ conceptions of physics teaching. Teach. Teach. Educ. 1992;8(5–6):497–507.

45. Op’t Eynde P, De Corte E, Verschaffel L. Balancing between cognition and affect: Students’ mathematic-related beliefs and their emotions during problem solving. In: Pehkonen E, Törner G, editors. Mathematical beliefs and their impact on teaching and learning of mathematics Duisburg: Conference at Mathematics Forschungsinstitut Oberwolfach MFO; 1999. p.97–105.

46. Rösken B, Hannula MS, Pehkonen E, Kaasila R, Laine A. Identifying dimensions of students’ view of mathematics. Proceedings of Fifth Conference of the European Society for Research in Mathematics Education. Larnaca, Cyprus; 2007.

47. Törner G. Self-Estimating teachers’ views on mathematics teaching–modifying Dionne's approach. In: Berenson S, Dawkins K, Blanton M, Coulombe W, Kolb J, Norwood K, Stiff L, editors. Proceedings of the Twentieth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Columbus, OH, USA; 1998. p. 627–634.

48. Wedege T, Skott J. Potential for change of views in the mathematics classroom? In: Pitta-Pantazi D, Philipou G, editors. Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education. Department of Education. Cyprus: University of Cyprus; 2007. p. 389–398.

49. Törner G. Mathematical Beliefs- A Search for a Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations. In: Leder G, Pehkonen E, Törner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p. 73–94.

50. Frank ML. Mathematical beliefs and problem solving. Unpublished doctoral dissertation. Purdue University. University Microfilms International; 1985.

51. Kloosterman P. Students’ beliefs about knowing and learning mathematics: Implications for motivation. In: Carr M, editor. Motivation in Mathematics Cresskill, NJ: Hampton Press; 1996. p. 131–156.

52. Spangler D. Assessing students’ beliefs about mathematics. Math. Educ. 1992;3(1):19–23.

53. Lazim MA, Abu Osman MT, Wan Salihin WA. The statistical evidence in describing the students’ beliefs about mathematics. Int. J. Emerg. Math. Educ. 2004;6(1):1–12.

54. Pintrich PR, De Groot V. Motivational and self-regulated learning components of classroom academic performance. J. Educ. Psychol. 1990;82(1):33–40.

55. Bandura A. Social cognitive theory of self-regulation. Organ. Behav. Hum. Decis. Process. 1991;50(2):248–287.

56. Pintrich PR, Smith DAF, García T, McKeachie WJ. A manual for the use of the Motivated Strategies for Learning Questionnaire MSLQ. Ann Arbor, MI: National Center for Research to Improve Postsecondary Teaching and Learning. University of Michigan; 1991.

57. Schommer M. Effects of beliefs about the nature of knowledge on comprehension. J. Educ. Psychol. 1990;82(3):498–504.

58. Sumpter L. ‘Boys Press All the Buttons and Hope It Will Help’: Upper Secondary School Teachers’ Gendered Conceptions About Students’ Mathematical Reasoning. Int. J. Sci. Math. Educ. 2016;14(8):1535–1552.

59. Yang X, Leung FK. The Relationships among Pre-service Mathematics Teachers’ Beliefs about Mathematics, Mathematics Teaching, and Use of Technology in China. Eurasia J. Math. Sci. Technol. Educ. 2015;116:1363–1378.

60. Bofah EAT, Hannula MS. Students' views on mathematics in single-sex and coed classrooms in Ghana. Eur. J. Sci. Math. Ed. 2016;4(2):229–250.

61. Ren L, Green JL, Smith WM. Using the Fennema-Sherman mathematics attitude scales with lower-primary teachers. Math. Educ. Res. J. 2016;28(2):303–326.

62. Diego-Mantecón JM, Córdoba-Gómez FJ. Adaptación y validación del MRBQ (Mathematics Related Beliefs Questionnaire) al contexto colombiano con estudiantes de secundaria. Educación Matemática. 2019;31(1):66–91.

63. Leder G, Pehkonen E, Törner G, editors. Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer; 2002. p. 59–72.

64. Pepin B, Roesken-Winter B. From beliefs to dynamic affect systems in mathematics education. London/New York: Springer; 2015.

65. Fennema E, Sherman JA. Fennema-Sherman mathematics attitudes scales: Instruments designed to measure attitudes toward the learning of mathematics by females and males. J. Res. Math. Educ. 1976;7(5):324–326.

66. Kloosterman P, Stage FK. Measuring beliefs about mathematical problem solving. Sch. Sci. Math. 1992;92(3):109–115.

67. Op’t Eynde P, De Corte E. Students' Mathematics-Related Belief Systems: Design and Analysis of a Questionnaire. Paper presented in the symposium "The relationship between students' epistemological beliefs, cognition, and learning", organized at the 2003 Annual Meeting of the American Educational Research Association, April 21–25, 2003 in Chicago. Retrieved from https://eric.ed.gov/?id=ED475708.

68. Blomqvist A, Elamari U, Sumpter L. Grade 2 and grade 5 students' conceptions about mathematics and mathematics education. Proceedings of NORMA, 11; 2012.

69. Oladipo SE, Arigbabu AA, Kazeem R. Gender, Need-Achievement and Assertiveness as Factors of Conceptions about Math among Secondary School Students in Ogun State, Nigeria. Rev. Eur. Stud. 2012;4(4):141.

70. Lam CC, Lai E, Wong JLY. Hong Kong junior secondary students’ changing conceptions of mainland China. Int. Res. Geog. Environ. Educ. 2012;213:223–246.

71. Furr RM, Bacharach VR. Psychometrics: An introduction. Thousand Oaks, CA: Sage Publications; 2008.

72. Raykov T, Marcoulides GA. Introduction to Psychometric Theory. New York: Routledge/Taylor & Francis; 2011.

73. McQueen R, Knussen C. Research methods for social science: An introduction. Harlow: Pearson Education Limited; 2002.

74. Osborn M. New methodologies for comparative research; Establishing ‘constants’ and ‘contexts’ in educational experience. Oxf. Rev. Educ. 2004,30(2):265–285.

75. Anastasiadou S. Reliability and validity testing of a new scale for monitoring attitudes toward learning statistics with technology. Acta Didactica Napocensia. 2011;4(1):1–10.

76. Cohen L, Manion L, Morrison K. Research methods in education. London: Routledge Falmer; 2003.

77. Beck CT, Bernal H, Froman RD. Methods to document semantic equivalence of a translated scale. Res. Nurs. Health. 2003,26:64–73. doi: 10.1002/nur.10066 12532368

78. Peña ED. Lost in translation: Methodological Considerations in Cros-Cultural Research. Child Dev. 2007;78(4):1255–1264. doi: 10.1111/j.1467-8624.2007.01064.x 17650137

79. Smith TW. Developing and evaluating cross-national survey instruments. In: Pressler S, Rothgeb JM, Couper MP, Lessler JT, Martin E, Martin J, Singer E, editors. Methods for Testing and Evaluating Survey Questionnaires. Hoboken, NJ: Wiley & Sons, Inc.; 2004. p. 431–452.

80. Pehkonen E. A hidden regulating factor in mathematics classrooms: Mathematics-related beliefs. In: Ahtee M, Bjockqvist O, Pehkonen E, Vatanen V, editors. Research on Mathematics and Science Education. Institute for Educational Research: University of Jyvaskyla. 2001. p. 11–35.

81. Mousoulides N, Philippou G. Students’ motivational beliefs, self-regulation strategies and mathematics achievement. In: Chick HL, Vincent JI, editors. Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Vol. 3. Melbourne, Australia: PME; 2005. p. 321–328.

82. Marsh HW, Hau KT, Artelt C, Baumert J, Peschar JL. OECD’s Brief Self-Report Measure of Educational Psychology’s Most Useful Affective Constructs: Cross-Cultural, Psychometric Comparisons Across 25 Countries. Int. J. Test. 2006;6(4):311–360.

83. Deci EL, Ryan RM. Intrinsic motivation and self-determination in human behavior. New York: Plenum Press; 1985.

84. Garofalo J. Beliefs and their influence on mathematical performance. Math. Teach. 1989;82(7):502–505.

85. Jehng JJ, Johnson S, Anderson RC. Schooling and students’ epistemological beliefs about learning. Contemp. Educ. Psychol. 1993;18:23–35.

86. Fadlelmula FK, Cakiroglu E, Sungur S. Developing a structural model on the relationship among motivational beliefs, self-regulated learning strategies, and achievement in mathematics. Int. J. Sci. Math. Educ. 2015;13(6),1355–1375.

87. Pintrich PR. Motivation and classroom learning. In: Weiner IB, Reynolds WM, Miller GJ, editors. Handbook of psychology. Hoboken, NJ: John Wiley & Sons; 2003. p. 103–122.

88. Mason L. High school students’ beliefs about maths, mathematical problem solving and their achievement in maths: a cross-sectional study. Educ. Psychol. 2003;23(1):73–85.

89. Hart L. Describing the affective domain: Saying what we mean. In: McLeod D, Adams V, editors. Affect and mathematical problem solving. New York: Springer-Verlag; 1989. p. 37–45.

90. Beswick K. The beliefs/practice connection in broadly defined contexts. Math. Educ. Res. J. 2005;17(2):39–68.

91. Frempong G. Assessing students’ attitudes toward mathematics from a multilevel perspective. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. 1998. p. 515–520.

92. Wong NY, Lam CC, Wong KM, Leung FKS, Mok IAC. How do Hong Kong students think about mathematics? Edu. Math. 2003;6:7–21.

93. Rolka K, Roesken-Winter B. Networking Theories to Understand Beliefs and Their Crucial Role in Mathematics Education. In: From beliefs to dynamic affect systems in mathematics education. Springer International Publishing; 2015. p. 73–93.

94. Tsiapou V. Liu Hui Shares His Views with Young Students. In: Mathematics, Education and History. Springer, Cham; 2018. p. 231–254.

95. Jackson M, Aurah C, Wanjala M. Teachers' Attitude Toward Mathematics Classroom Discourse in Secondary Schools in Kenya. Int. J. Sci. Res. Manag. 2018;6(09):M-2018.

96. Tapia M, Marsh GE. An instrument to measure mathematics attitudes. Acad. Exch. Q. 2004;8(2):16–21.

97. Gil-Ignacio N, Guerrero E, Blanco L. The affective domain in mathematics learning. Int. Electron. J. Math. Educ. 2006;1(1):16–32.

98. Dweck CS, Elliott ES. Achievement motivation. In: Mussen PH, editor. Handbook of child psychology: Socialization, personality, and social development. Vol. 4. New York: Wiley; 1983. p. 643–691.

99. Darnon C, Muller D, Schrager SM, Pannuzzo N, Butera F. Mastery and performance goals predict epistemic and relational conflict regulation. J. Educ. Psychol. 2006;98(4):766–776.

100. Elliot AJ, McGregor HA. A 2 x 2 achievement goal framework. J. Pers. Soc. Psychol. 2001;80(3): 501–519. doi: 10.1037/0022-3514.80.3.501 11300582

101. Eccles JS, Adler TF, Futterman R, Goff SB, Kaczala CM, Meece JL, et al. Expectancies, values, and academic behaviors. In: Spence JT, editor. Achievement and Achievement Motivation. San Francisco, CA: Freeman; 1983. p. 75–146.

102. Caballero A, Guerrero E, Blanco LJ. Actitudes y emociones ante las Matemáticas en estudiantes para Maestros. In: Camacho M, Bolea P, Murillo P, González MT, editors. Investigación en Educación Matemática. XI Simposio de la SEIEM. La laguna: SEIEM; 2007. p. 41–52.

103. Martin MO, Kelly DL, editors. TIMSS technical report. Volume II. Implementation and analysis, primary and middle school years. Chestnut Hill, MA: Boston College; 1997.

104. Mullis I, Martin MO, Gonzalez EJ, Gregory KD, Garden RA, O’Connor KM, et al. TIMSS 1999. International Mathematics Report. Boston: International Study Center, Lynch School of Education and Boston College. 2000.

105. Mullis I, Martin MO, Foy P, Hooper M. TIMSS 2015 International Results in Mathematics. TIMSS & PIRLS International Study Center. 2016.

106. Mullis I, Martin MO. TIMSS 2019 Assessment Frameworks. International Association for the Evaluation of Educational Achievement. Herengracht 487, Amsterdam, 1017 BT, The Netherlands. 2017.

107. Becker M, McElvany N, Kortenbruck M. Intrinsic and extrinsic reading motivation as predictors of reading literacy: A longitudinal study. J. Educ. Psychol. 2010;102(4):773–785.

108. Marsh HW, Craven RG. Reciprocal effects of self-concept and performance from a multidimensional perspective: Beyond seductive pleasure and unidimensional perspectives. Perspect. Psychol. Sci. 2006;1 (2):133–163. doi: 10.1111/j.1745-6916.2006.00010.x 26151468

109. Andrews P, Diego-Mantecón JM, Op ‘t Eynde P, Sayers J. Evaluating the sensitivity of the refined mathematics-related beliefs questionnaire to nationality, gender and age. In: Pitta-Pantazi D, Philipou G, editors. Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education. Cyprus: University of Cyprus. Department of Education; 2007. p. 209–218.

110. Marsh HW. Verbal and math self-concepts: An internal/external frame of reference model. Am. Educ. Res. J. 1986;23:129–149.

111. Marsh HW. The structure of academic self-concept: The Marsh/Shavelson model. J. Educ. Psychol. 1990;82(4):623–636.

112. Marsh HW, O'Mara A. Reciprocal effects between academic self-concept, self-esteem, achievement, and attainment over seven adolescent years: Unidimensional and multidimensional perspectives of self-concept. Pers. Soc. Psychol. Bull. 2008;34(4),542–552. doi: 10.1177/0146167207312313 18340036

113. Marsh H, Xu W, Martin AJ. Self-concept: A synergy of theory, method, and application. In: Harris K, Graham S, Urdan T, editors. APA Educational Psychology Handbook, Vol. 1: Theories, Constructs, and Critical Issues. American Psychological Association, Washington, DC; 2012. p. 427–458.

114. Meece JL, Anderman EM, Anderman LH. Classroom goal structure, student motivation, and academic achievement. Annu. Rev. Psychol. 2006;57: 487–503. doi: 10.1146/annurev.psych.56.091103.070258 16318604

115. Meece JL, Wigfield A, Eccles JS. Predictors of math anxiety and its influence on young adolescents’ course enrollment intentions and performance in mathematics. J. Educ. Psychol. 1990;82(1):60–70.

116. OECD. PISA 2018 Assessment and Analytical Framework. Paris, Francia: Organisation for Economic Cooperation and Development Publishing. 2019.

117. Bandura A. Social Learning Theory General Learning Press, New York. 1977.

118. Schunk DH. Self-efficacy and academic motivation. Educ. Psychol. 1991;26(3–4):207–231.

119. OECD. PISA 2012 Results: Ready to Learn: Students’ Engagement, Drive and Self-Beliefs (Volume III). PISA, OECD; 2013. Retrieved from: http://dx.doi.org/10.1787/9789264201170-en.

120. OECD. PISA 2012 Results: Creative Problem Solving: Students’ Skills in Tackling Real-life Problems (Volume V). PISA. Paris: OECD Publishing; 2014. Retrieved from: http://dx.doi.org/10.1787/9789264208070-en.

121. Taylor MW. Changing Students’ Minds about Mathematics: Examining Short-Term Changes in the Beliefs of Middle-School Students. Paper presented at the American Educational Research Association Conference. New York City, New York; 2008.

122. Anastasi A. Psychological Testing. New York: Macmillan Publishing; 1976.

123. Pedhazur E, Schmelkin L. Measurement, Design and Analysis: An Integrated Approach. Hillsdale, NJ: Lawrence Erlbaum; 1991.

124. Streiner DL, Norman GR. Health Measurement Scales: A Practical Guide to Their Development and Use. Oxford: Oxford University Press; 1995.

125. Doepken D, Lawsky E, Padwa L. Modified fennema-sherman attitude scales. Paper presented at Woodrow Wilson Gender Equity in Mathematics and Science Congress. Princetown, NJ. 1993. Retrieved from http://www.woodrow.org/teachers/math/gender/08scale.html.

126. Op’t Eynde P, De Corte E, Verschaffel L. Beliefs and metacognition: An analysis of junior-high students’ mathematics-related beliefs. In: Veenman M, Desoete A, editors. Metacognition in mathematics education. Hauppauge, NY: Nova Science Publisher; 2006. p. 79–97.

127. Andrews P, Diego-Mantecón JM. Instrument adaptation in cross-cultural studies of students’ mathematics-related beliefs: Learning from healthcare research. Compare. 2015;45(4): 545–567.


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