Exploring Epistemological Beliefs and Their Relationship with Academic Achievement in Mathematics Among Senior High School Students in Sene East District, Ghanas
DOI:
https://doi.org/10.54536/jtel.v4i2.7216Keywords:
Absolutism, Belief, Epistemology, Fallibilist, Mathematics AchievementsAbstract
The purpose of the study was to investigate the epistemological beliefs of students about mathematics teaching and learning and their relationship with academic achievement. In this study, a quantitative research approach through the correlational method was used. Three hundred and fifteen (315) students were randomly sampled from the Kajaji senior high school in the Sene East district of the Bono East region of Ghana. The discipline-focused epistemological beliefs questionnaire (DFEBQ) was adapted after ensuring its validity and reliability. It was found that senior high school students held more absolutist epistemological beliefs about Mathematics teaching and learning than fallibilist epistemological beliefs. It was also found that the students’ academic performance was above average with a good percentage of 63.5% obtaining the tertiary education qualifying grades (A1-C6).based on the findings of the study, it was therefore recommended that stakeholders and policy makers on education in Ghana should train educators on recognizing and addressing absolutist beliefs in students through teaching strategies that will promote relativist or evaluative thinking. It therefore implied that mathematics instructors in high schools should include elements that challenge absolute views such as debate, proofs, interdisciplinary projects which can promote epistemological development among students.
References
Abedalaziz, R. & Akmar, A. (2012) “Relationships among higher secondary students’ beliefs about mathematical ability, goals, learning strategies, and mathematics achievement, in the Maldives: A three-path mediational analysis,” 5(2), 77–123. https://doi.org/10.26686/wgtn.17006134
Alexander, P. A. (2006). Psychology in Learning and Instruction. Upper Saddle River, NJ: Pearson Merrill Prentice Hall.
Arslantaş, H.A. (2015) “Epistemological beliefs and academic achievement,” Journal of Education and Training Studies, 4(1), 23–56. https://doi.org/10.11114/jets.v4i1.1107
Bednar et al. (2017) “The learner in context,” The Wisdom of Strategic Learning, 251–261. Available at: https://doi.org/10.4324/9781315551449-16.
Belenky, M. F., Clinchy, B. M., Goldberger, N. R., & Tarule, J. M. (1986). Women’s ways of knowing. New York: Basic Books. https://doi.org/10.1111/j.1527-2001.1988.tb00084.x
Belenky, M., Clinchy, B., Goldberger, N. & Tarule, J., (2012). Epistemological Development and the Politics of Talk in Family Life. Journal of Education, 167(3), 9-27. https://doi.org/10.1177/002205748516700301
Bendixen, L. D., Schraw, G. & Dunkle, M. E. (1998). Epistemic beliefs and moral reasoning. The Journal of Psychology,132(2), 187-200. https://doi.org/10.1080/00223989809599158
Bendixen, L., Dunkle, M. & Schraw, G., 1994. Epistemological Beliefs and Reflective Judgement. Psychological Reports, 75(3_suppl), 1595-1600. https://doi.org/10.2466/pr0.1994.75.3f.1595
Bendixen, L.D., & Rule, D.C. (2004). An integrative approach to personal epistemology: A guiding model. Educational Psychologist, 39, 69-80. https://doi.org/10.1207/s15326985ep3901_7
Birenbaum, M. & Nasser, F. (2006) “Ethnic and gender differences in mathematics achievement and in dispositions towards the study of Mathematics,” Learning and Instruction, 16(1), 26–40. https://doi.org/10.1016/j.learninstruc.2005.12.004
Blömeke, S., Felbrich, A., Müller, C., Kaiser, G., & Lehmann, R. (2008). Effectiveness of teacher education. ZDM – The International Journal on Mathematics Education, 40, 719-734. https://doi.org/10.1007/s11858-008-0096-x
Bolden, D.S., & Newton, L.D. (2008). Primary teachers’ epistemological beliefs: Some perceived barriers to investigative teaching in primary mathematics. Educational Studies, 34, 419-432. https://doi.org/10.1080/03055690802287595
Boyes, M. C., & Chandler, M. (1992). Cognitive development, epistemic doubt, and identity formation in adolescence. Journal of youth and adolescence, 21(3), 277-304. https://doi.org/10.1007/bf01537019
Bråten, I. & Olaussen, B.S. (2005) “Profiling individual differences in student motivation: A longitudinal cluster-analytic study in different academic contexts,” Contemporary Educational Psychology, 30(3), 359–396. https://doi.org/10.1016/j.cedpsych.2005.01.003
Bromme, R., Kienhues, D., & Porsch, T. (2010). Who knows what and who can we believe? Epistemological beliefs are beliefs about knowledge (mostly) to be attained from others. Personal epistemology in the classroom: Theory, research, and implications for practice, 163-193. https://doi.org/10.1017/cbo9780511691904.006
Buehl, M. M. & Alexander, P. A. (2001). Motivation and performance differences in students’ domain- specific epistemological belief profiles. American Educational Research Journal, 42(46), 697-726. https://doi.org/10.3102/00028312042004697
Buehl, M. M., & Alexander, P. A. (2006). Examining the dual nature of epistemological beliefs. International Journal of Educational Research, 45(1-2), 28-42. https://doi.org/10.1016/j.ijer.2006.08.007
Buehl, M.M., Alexander, P.A., & Murphy, P. (2002). Beliefs about schooled knowledge: Domain specific or domain general. Contemporary Educational Psychology, 27, 415-449. https://doi.org/10.1006/ceps.2001.1103
Chan, K. W., & Elliott, R. G. (2002). Exploratory study of epistemological beliefs of Hong Kong teacher education students: Resolving conceptual and empirical issues. AsiaPacific Journal of Teacher Education, 28 (3), 225-234. https://doi.org/10.1080/713650691
Clarebout, G., Elen, J., Luyten, L., & Bamps, H. (2001). Assessing epistemological beliefs: Schommer’s questionnaire revisited. Educational Research and Evaluation, 7(1), 53-77. https://doi.org/10.1076/edre.7.1.53.6927
Conn, S., English, J., Scheffler, F., & Hall, S. (2010). Using Undergraduate Information Systems Student Epistemic Belief Data in Course Design: A Research-Based Approach to Improve Student Academic Success. Proceedings of the Information Systems Educators Conference, October 27-30 2010. Nashville, TN.
Das, T.H. (1983). Qualitative research in organizational behavior. Journal of Management Studies, 20(3), 301-314. https://doi.org/10.1111/j.1467-6486.1983.tb00209.x
Debacker, T. K., Beesley, A. D. and Thoma, S. J. (2008). The challenge of measuring epistemic beliefs: an analysis of three self-report instruments. The Journal of Experimental Education, 76(3), 281–312. https://doi.org/10.3200/jexe.76.3.281-314
Duell, O.K. and Schommer-Aikins, M (2001) ‘Epistemological beliefs, mathematical problem-solving beliefs, and academic performance of Middle School students’, The Elementary School Journal, 105(3), pp. 289–304. doi:10.1086/428745.
Dweck C. S. (1986) Motivational processes affecting learning. American Psychologist 41: 1040–1048. https://doi.org/10.1037//0003-066x.41.10.1040
Dweck, C. S., & Leggett, E. L. (1988). A social-cognitive approach to motivation and personality. Psychological Review, 95, 256-273. https://doi.org/10.1037//0033-295x.95.2.256
Ernest, P. (1985). The impact of beliefs on the teaching of mathematics. Mathematics teaching: The state of the art, 249, 254. https://doi.org/10.1093/teamat/4.1.7
Ernest, P. (1991). Values, gender and images of mathematics: A philosophical perspective. International Journal of Mathematical Education in Science and Technology, 26(3), 449-462. https://doi.org/10.1080/0020739950260313
Ernest, P. (2014). What is mathematics, and why learn it? In P. Andrews & T. Rowland (Eds.), Masterclass in mathematics education: International perspectives on teaching and learning (3-14). London: Bloomsbury. https://doi.org/10.5040/9781350284807.ch-001
Eynde, P., De Corte, E., & Verschaffel, L. (2006). Epistemic dimensions of students’ mathematics-related belief systems. International Journal of Educational Research, 45, 57-70. https://doi.org/10.1016/j.ijer.2006.08.004
Felbrich, A., Kaiser, G., & Schmotz, C. (2012). The cultural dimension of beliefs: An investigation of future primary teachers’ epistemological beliefs concerning the nature of mathematics in 15 countries. ZDM Mathematics Education, 44, 355-366. https://doi.org/10.1007/s11858-012-0418-x
Hammer, D. (1994). Epistemological beliefs in introductory physics. Cognition and instruction, 12(2), 151-183. https://doi.org/10.1207/s1532690xci1202_4
Hardré, P. L., Crowson, H. M., Debacker, T. K., & White, D. (2007). Predicting the academic motivation of rural high school students. The Journal of Experimental Education, 75(4), 247-269. https://doi.org/10.3200/jexe.75.4.247-269
Hofer, B. (1994). Epistemological Beliefs and First-Year College Students: Motivation and Cognition in Different Instructional Contexts. Paper presented at the annual meeting of the American Psychological Association, August 12-16 1994, Los Angeles.
Hofer, B. K. (1997). The Development of Personal Epistemology: Dimensions, Disciplinary Differences, and Instructional Practices, doctoral dissertation, University of Michigan.
Hofer, B. K. (2000). Dimensionality and disciplinary differences in personal epistemology. Contemporary Educational Psychology, 25(4), 378–405. https://doi.org/10.1006/ceps.1999.1026
Hofer, B. K. (2001). Personal epistemology research: implications for learning and teaching. Educational Psychology Review, 13(4), 353–383. https://doi.org/10.1023/a:1011965830686
Hofer, B. K. (2004). Exploring the dimensions of personal epistemology in differing classroom contexts: Student interpretations during the first-year of college. Contemporary Educational Psychology, 29(2), 129–163. https://doi.org/10.1016/j.cedpsych.2004.01.002
Hofer, B. K. (2006). Domain specificity of personal epistemology: resolved questions, persistent issues, new models. International Journal of Educational Research, 45(1), 85-95. https://doi.org/10.1016/j.ijer.2006.08.006
Hofer, B. K. (2010). Personal epistemology in Asia: burgeoning research and future directions. The Asia-Pacific Education Researcher, 19 (1), 179-184. https://doi.org/10.3860/taper.v19i1.1516
Hofer, B. K., & Pintrich, P. R. (1997). The development of epistemological theories: Beliefs about knowledge and knowing and their relationship to learning. Review of Educational Research, 67, 88-140. https://doi.org/10.3102/00346543067001088
Hofer, B., 2002. Belief, Justification and Knowledge: An Introduction to Epistemology. Philosophy and Phenomenological Research, 53(2), 480. https://doi.org/10.2307/2107786
Hussey, J. & Hussey R. (1997). Business Research: A Practical Guide for Undergraduate and Postgraduate Students. London, Macmillan. https://doi.org/10.1007/978-1-349-25262-6
Jahromi, R. G., Lavasani, M. G., Rastegar, A., & Mooghali, A. (2010). Presenting a model of predicting computer anxiety in terms of epistemological beliefs and achievement goals. Computers in human behavior, 26(4), 602-608. https://doi.org/10.1016/j.chb.2009.12.013
Jehng, J. C. J., Johnson, S. D., & Anderson, R. C. (1993). Schooling and students′ epistemological beliefs about learning. Contemporary educational psychology, 18(1), 23-35. https://doi.org/10.1006/ceps.1993.1004
King, P.M., & Kitchener, K.S. (1994). The reflective judgment model: Twenty years of research on epistemic cognition. In B.K. Hofer & P.R. Pintrich (Eds.), Personal epistemology: The psychology of beliefs about knowledge and knowing (37-61). London: Lawrence Erlbaum Associates. https://doi.org/10.4324/9781410604316-10
Kitchener, K. S., & King, P. M. (1981). Reflective judgment: Concepts of justification and their relationship to age and education. Journal of applied developmental psychology, 2(2), 89-116. https://doi.org/10.1016/0193-3973(81)90032-0
Köller , H. (2001) “Gender differences in mathematics achievement among high school students in the United Arab Emirates,” School Science and Mathematics, 101(1), 5–9. https://doi.org/10.1111/j.1949-8594.2001.tb18184.x
Kuhn, D., Cheney, R. & Weinstock, M. (2000). The development of epistemological understanding. Cognitive Development, 15(3), 309-328. https://doi.org/10.1016/s0885-2014(00)00030-7
Lakatos, I., 1976, Proofs and Refutations: The Logic of Mathematical Discovery, ed. J. Worrall and G. Currie (Cambridge: Cambridge University Press). https://doi.org/10.1017/cbo9781139171472
Limon, M. (2006). The domain generality–specificity of epistemological beliefs: A theoretical problem, a methodological problem or both? International Journal of Educational Research, 45(1-2), 7-27. https://doi.org/10.1016/j.ijer.2006.08.002
Lin, T., Deng, F., Chai, Ch. & Tsai, Ch. (2013). High school students’ scientific epistemological beliefs, motivation in learning science, and their relationships: a comparative study within the Chinese culture. International Journal of Educational Development, 33 (1), 37–47. https://doi.org/10.1016/j.ijedudev.2012.01.007
Liu, J. (2009) “Two unsolved problems on almost periodic type functions,” Applied Mathematics Letters, 23(9), pp. 1133–1136. https://doi.org/10.1016/j.aml.2010.05.001
Magolda, B. (1987). Students’ epistemologies and academic experiences: Implications for pedagogy. The Review of Higher Education, 15(3), 265-287. https://doi.org/10.1353/rhe.1992.0013
Magolda, M. B. (1987). The affective dimension of learning: Faculty-student relationship that enhance intellectual development. College Student Journal, 21, 46-58.
Magolda, M. B. (1992). Students’ epistemologies and academic experiences: Implications for pedagogy. The Review of Higher Education, 15(3), 265-287. https://doi.org/10.1353/rhe.1992.0013
Manu, J., Bonsu, R. O., & Atta, G. P. (2015). Epistemic beliefs and their instructional practice: Perspective of a private university in Ghana. International Journal of Innovative Research and Development, 4(9), 139-151.
Mohamed, M. T., & El-Habbal, M. (2013). The relationship between epistemic beliefs and academic performance: Are better students always more mature? Journal of Educational and Developmental Psychology, 3(1), 158. https://doi.org/10.5539/jedp.v3n1p158
Morell, M., García, R., & Díaz-Méndez, R. (2021). Personal epistemology and spontaneous small groups. Educational Psychology, 41(1), 99-112. https://doi.org/10.1080/01443410.2020.1769032
Mori, Y. (1999). Epistemological beliefs and language learning beliefs: What do language learners believe about their learning? Language learning, 49(3), 377-415. https://doi.org/10.1111/0023-8333.00094
Muis, K. & Gierus, B. (2014). Beliefs about knowledge, knowing, and learning: differences across knowledge types in physics. The Journal of Experimental Education, 82(3), 408-430. https://doi.org/10.1080/00220973.2013.813371
Muis, K. R., & Sinatra, G. M. (2008). University cultures and epistemic beliefs: Examining differences between two academic environments. In Knowing, knowledge and beliefs: Epistemological studies across diverse cultures (pp. 137-150). Dordrecht: Springer Netherlands. https://doi.org/10.1007/978-1-4020-6596-5_6
Muis, K. R., Franco, G. M., & Gierus, B. (2011). Examining epistemic beliefs across conceptual and procedural knowledge in statistics. International Journal on Mathematics Education, 43(4), 507–519. https://doi.org/10.1007/s11858-011-0337-2
Muis, K., Bendixen, L. & Haerle, F. (2006). Domain-generality and domain-specificity in personal epistemology research: philosophical and empirical reflections in the development of a theoretical framework. Educational Psychology Review, 18(1), 3–54. https://doi.org/10.1007/s10648-006-9003-6
Muis, K.R. (2004). Personal epistemology and mathematics: A critical review and synthesis of research. Review of Educational Research, 74, 317-377. https://doi.org/10.3102/00346543074003317
Nasser, F., & Birenbaum, M. (2005). Modeling mathematics achievement of Jewish and Arab eighth graders in Israel: The effects of learner-related variables. Educational Research and Evaluation: An International Journal on Theory and Practice, 11(1), 277-302. https://doi.org/10.1080/13803610500101108
Nussbaum, E. M., & Bendixen, L. D. (2002, April). The effect of personality, ability, and epistemological beliefs on students’ argumentation behavior. Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA
Nussbaum, E. M., & Bendixen, L. D. (2003). Approaching and avoiding arguments: The role of epistemological beliefs, need for cognition, and extraverted personality traits. Contemporary Educational Psychology, 28, 573–595. https://doi.org/10.1016/s0361-476x(02)00062-0
Op’tEynde, P., De Corte, E., & Verschaffel, L. (2006). Epistemic dimensions of students’ mathematics-related belief systems. International Journal of Educational Research, 45(1), 57-70. https://doi.org/10.1016/j.ijer.2006.08.004
Paulsen, M. B., & Feldman, K. A. (1999). Student Motivation and Epistemological Beliefs. New directions for teaching and learning, 78, 17-25. https://doi.org/10.1002/tl.7802
Paulsen, M. B., & Wells, C. T. (1998). Domain differences in the epistemological beliefs of college students. Research in higher education, 39(4), 365-384. https://doi.org/10.1023/a:1018785219220
Perry Jr, W. G. (1968). Patterns of Development in Thought and Values of Students in a Liberal Arts College: A Validation of a Scheme. Final Report.
Perry, W. G. J. (1981). Cognitive and ethical growth: The making of meaning. In A. W. Chickering (Ed.), The Modern American College 76-116. San Francisco: Jossey-Boss.
Perry, W. G., Jr. (1970). Forms of intellectual and ethical development in the college years: A scheme. New York: Holt, Rinehart and Winston.
Phan, H. P. (2008). Predicting change in epistemological beliefs, reflective thinking and learning styles: A longitudinal study. British journal of educational psychology, 78(1), 75-93. https://doi.org/10.1348/000709907x204354
Pinsonneault, A., & Kraemer, K. L. (1993). Survey research methodology in management information systems: an assessment. Journal of Management Information Systems, 10(2), 75-105. https://doi.org/10.1080/07421222.1993.11518001
Pintrich, P. R. (2002). The role of metacognitive knowledge in learning, teaching, and assessing. Theory into practice, 41(4), 219-225. https://doi.org/10.1207/s15430421tip4104_3
Pulmones, R. (2010). Linking students’ epistemological beliefs with their metacognition in a chemistry classroom. The Asia-Pacific Education Researcher, 19(1). 143-159. https://doi.org/10.3860/taper.v19i1.1514
Qian, G. and Alvermann, D. (1995) “Role of epistemological beliefs and learned helplessness in Secondary School Students’ learning science concepts from text.,” Journal of Educational Psychology, 87(2), pp. 282–292. https://doi.org/10.1037//0022-0663.87.2.282
Rastegar, A. et al. (2010) “The relation of epistemological beliefs and mathematics achievement: The mediating role of achievement goals, mathematics self-efficacy, and cognitive engagement,” Procedia - Social and Behavioral Sciences, 5, pp. 791–797. https://doi.org/10.1016/j.sbspro.2010.07.186
Ren, Z., Baker, P., & Zhang, S. (2009). Effects of student-written wiki-based textbooks on pre-service teachers’ epistemological beliefs. Journal of Educational Computing Research, 40(4), 429-449. https://doi.org/10.2190/ec.40.4.c
Richardson, J. (2013). Epistemological development in higher education. Educational Research Review, 9 (1), 191–206. https://doi.org/10.1016/j.edurev.2012.10.001
Ryan, M. P. (1984a). Conceptions of prose coherence: Individual differences in epistemological standards. Journal of Educational Psychology, 76(6), 1226-1238. https://doi.org/10.1037//0022-0663.76.6.1226
Sahin, M. (2010). Effects of problem-based learning on university students’ epistemological beliefs about physics and physics learning and conceptual understanding of Newtonian mechanics. The Journal of Science Education and Technology, 19(3), 266-275. https://doi.org/10.1007/s10956-009-9198-7
Schommer, M. (1990). Effects of beliefs about the nature of knowledge on comprehension. Journal of Educational Psychology, 82, 498-504. https://doi.org/10.1037//0022-0663.82.3.498
Schommer, M. (1993). Epistemological development and academic performance among secondary students. Journal of Educational Psychology, 85, 406–411. https://doi.org/10.1037//0022-0663.85.3.406
Schommer, M. (1994). An emerging conceptualization of epistemological beliefs and their role in learning. In R. Garner & P. Alexander (Eds.), Beliefs about text and about text instruction, 25–40. Hillsdale, NJ: Erlbaum. https://doi.org/10.4324/9780203812068-2
Schommer, M. (1994b). Synthesizing epistemological beliefs research: tentative understanding and provocative confusions. Educational Psychology Review, 6(4), 293- 318. https://doi.org/10.1007/bf02213418
Schommer, M., & Walker, K. (1995). Are epistemological beliefs similar across domains? Journal of educational psychology, 87(3), 424. https://doi.org/10.1037//0022-0663.87.3.424
Schommer, M., Calvert, C., Gariglietti, G. and Bajaj, A. (2001). The development of epistemological beliefs among secondary students: a longitudinal study, Journal of Educational Psychology, 89(1), 37–40. https://doi.org/10.1037//0022-0663.89.1.37
Schommer, M., Crouse, A., & Rhodes, N. (1992). Epistemological beliefs and mathematical text comprehension: Believing it is simple does not make it so, Journal of Educational Psychology, 82(4), 435-443. https://doi.org/10.1037//0022-0663.84.4.435
Schommer. M. (1993). Epistemological development and academic performance among secondary students. Journal of Educational Psychology, 85, 14. https://doi.org/10.1037//0022-0663.85.3.406
Schommer-Aikins, M. & Duell (2013) “Applying the theory of an epistemological belief system to the investigation of students’ and professors’ mathematical beliefs,” Knowing, Knowledge and Beliefs, pp. 303–323. https://doi.org/10.1007/978-1-4020-6596-5_15
Schommer Aikins, M. & Easter, M. (2006) “Ways of knowing and epistemological beliefs: Combined effect on academic performance,” Educational Psychology, 26(3), pp. 411–423. https://doi.org/10.1080/01443410500341304
Schommer-Aikins, M. (2004). Explaining the epistemological belief system: Introducing the embedded systemic model and coordinated research approach. Educational psychologist, 39(1), 19-29. https://doi.org/10.1207/s15326985ep3901_3
Schommer-Aikins, M. and Duell, O.K. (2005) ‘Epistemological beliefs, mathematical problem solving beliefs, and academic performance of Middle School students’, The Elementary School Journal, 105(3), pp. 289–304. doi:10.1086/428745.
Schommer-Aikins, M., & Duell, O. K. (2001). Domain specific and general epistemological beliefs. Their effects on mathematics. Revista de Investigación Educativa, 31(2), 330-330. https://doi.org/10.1023/a:1011969931594
Schommer-Aikins, M., & Hutter, R. (2002). Epistemological beliefs and thinking about everyday controversial issues. The Journal of Psychology, 136(1), 5-20. https://doi.org/10.1080/00223980209604134
Schommer-Aikins, M., Mau, W., Brookhart, S. & Hutter, R., (2000). Understanding Middle Students’ Beliefs About Knowledge and Learning Using a Multidimensional Paradigm. The Journal of Educational Research, 94(2), 120-127. https://doi.org/10.1080/00220670009598750
Schommer-Aikins, M., Unruh, S., & Morphew, J. (2015). Epistemological Belief Congruency in Mathematics between Vocational Technology Students and Their Instructors. Journal of Education and Training Studies, 3(4), 137-145. https://doi.org/10.11114/jets.v3i4.859
Schraw, G. (2001) “Beliefs about intelligence and academic goals,” Contemporary Educational Psychology, 20(4), pp. 464–468. https://doi.org/10.1006/ceps.1995.1033
Schraw, G., & Sinatra, G. M. (2004). Epistemological development and its impact on cognition in academic domains. Contemporary Educational Psychology, 29(2), 95-102. https://doi.org/10.1016/j.cedpsych.2004.01.005
Schraw, G., Bendixen, L. D., & Dunkle, M. E. (2002). Development and validation of the Epistemic Belief Inventory. In B. K. Hofer & P. R. Pintrich (Eds.), Personal epistemology: The psychology of beliefs about knowledge and knowing, 103–118. Mahwah, NJ: Erlbaum. https://doi.org/10.4324/9781410604316-22
Schutz, P. A., Pintrich, P. R., & Young, A. J. (1993). Epistemological Beliefs, Motivation, and Student Learning. Paper Presented at The Annual Meeting of the American Educational Research Association, April, 1993, Atlanta GA.
Sternberg, R. J. (1989). Domain-generality versus domain-specificity: The life and impending death of a false dichotomy. Merrill-Palmer Quarterly (1982-), 115-130. https://doi.org/10.1007/978-1-4020-9877-2_3
Stodolsky, S. S., Salk, S., & Glaessner, B. (1991). Student views about learning math and social studies. American educational research journal, 28(1), 89-116. https://doi.org/10.3102/00028312028001089
Thompson, A. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning 127-146. https://doi.org/10.4324/9780203108437-33
Threlfall, J. (1996) “Reducing a class of machine learning algorithms to logical commonsense reasoning operations,” Mathematical Methods for Knowledge Discovery and Data Mining, 4(1), pp. 41–64.
Tsai, C. (2006). Biological knowledge is more tentative than physics knowledge: Taiwan high school adolescents’ views about the nature of biology and physics. Adolescence-San Diego, 41(164), 691-703.
Viholainen, A., Asikainen, M., & Hirvonen, P. E. (2014). Mathematics student teachers’ epistemological Cam beliefs about the nature of mathematics and the goals of mathematics teaching and learning in the beginning of their studies. Eurasia Journal of Mathematics, Science & Technology Education, 10(2), 159-171. https://doi.org/10.12973/eurasia.2014.1028a
Wheeler, D. L., & Montgomery, D. (2009). Community college students’ views on learning mathematics in terms of their epistemological beliefs: a Q method study. Educational studies in mathematics, 72, 289-306. https://doi.org/10.1007/s10649-009-9192-2
Yamane, Taro, (1967). Statistics, An IntroductoryAnalysis, 2nded., NewYork:Harper and Row.
Yin, R. (2009). Case Study Research: Design and Methods. (2nd ed.). Beverly Hills, CA: Sage Publishing. https://doi.org/10.33524/cjar.v14i1.73
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Alhassan Taah Malik, Isaac Brilliant Essuman, Mohammed Ali, Samuel Aseidu-Addo, Michael Larbi

This work is licensed under a Creative Commons Attribution 4.0 International License.