Two-level model of attitudes and beliefs influencing higher order thinking (HOT) skills in mathematics
Tipo de documento
Autores
Lista de autores
Elizar, Elizar
Resumen
This article focuses on a two-level model analysis of attitudes and beliefs affecting students’ higher order thinking (HOT) skills in mathematics in Aceh, Indonesia. The data used are nested within the hierarchical ordering of both student (level 1) and teacher (level 2). The variables used at level 1 in the study include liking mathematics, valuing mathematics, confidence in mathematics, and individual judgement of mathematics ability, as well as beliefs concerning mathematics related to lower order thinking (LOT) and higher order thinking (HOT). The variables at level 2 involve beliefs concerning mathematics teaching related to LOT and beliefs concerning mathematics teaching related to HOT. The analysis reveals that there are four variables at level 1 contributing to student HOT skills in mathematics: liking mathematics, individual judgement of mathematics ability, beliefs concerning mathematics related to LOT, and beliefs concerning mathematics related to HOT. At level 2, the one variable affecting student HOT skills in mathematics is teacher beliefs concerning mathematics related to HOT.
Fecha
2021
Tipo de fecha
Estado publicación
Términos clave
Actitud | Creencia | Otro (marcos) | Pensamientos matemáticos | Profesor
Enfoque
Nivel educativo
Idioma
Revisado por pares
Formato del archivo
Volumen
35
Número
70
Rango páginas (artículo)
1034-1046
ISSN
19804415
Referencias
ANDERSON, L.; SOSNIAK, L. A. (Eds.). Bloom’s taxonomy: A forty year retrospective. Chicago: University of Chicago Press, 1994. BIGGE, M. L.; SHERMIS, S. S. Learning theories for teachers. New York: HarperCollins, 1992. BIGGS, J. B.; MOORE, P. J. The process of learning. Melbourne: Prentice Hall, 1993. BORG, M. Teachers’ beliefs. ELT journal, Oxford, v. 55, n. 2, p. 186-188, 2001. BRYK, A. S.; RAUDENBUSH, S. W. Hierarchical linear models: Applications and data analysis methods. Newbury Park: SAGE, 2002. v. 1. CHARLES, M.; HARR, B.; CECH, E.; HENDLEY, A. Who likes math where? Gender differences in eighth-graders’ attitudes around the world. International Studies in Sociology of Education, Oxfordshire, v. 24, n. 1, p. 85-112, 2014. DEIESO, D.; FRASER, B. J. Learning environment, attitudes and anxiety across the transition from primary to secondary school mathematics. Learning Environments Research, New York, v. 22, n. 1, p. 133-152, 2019. DI MARTINO, P.; ZAN, R. Attitude towards mathematics: a bridge between beliefs and emotions. ZDM, New York, v. 43, n. 4, p. 471-482, 2011. ERNEST, P. The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, Oxfordshire, v. 15, n. 1, p. 13-33, 1989. ERTMER, P. A. Teacher pedagogical beliefs: The final frontier in our quest for technology integration? Educational technology research and development, Boston, v. 53, n. 4, p. 25-39, 2005. FORSTER, M. Higher order thinking skills. Research Developments, Victoria, v. 11, n. 11, p. 1-6, 2004. FULLAN, M.; WATSON, N. The Slow Road to Higher Order Skills. 2011. Available at: eacher.righthere.com.cn/UEditor/net/upload/file/20150409/6356419021493800007755897.pdf. Access in: 20 June. 2020. HAIR, J. F.; BLACK, W. C.; BABIN, B. J.; ANDERSON, R. E. Multivariate Data Analysis-Pearson New International Edition. New Jersey: Pearson, 2014. HANNULA, M. S. Attitude towards mathematics: Emotions, expectations and values. Educational studies in mathematics, New York, v. 49, n. 1, p. 25-46, 2002. HANNULA, M. S. Young learners’ mathematics-related affect: A commentary on concepts, methods, and developmental trends. Educational studies in mathematics, New York, v. 100, n. 3, p. 309-316, 2019. HOFMANN, D. A. An overview of the logic and rationale of hierarchical linear models. Journal of management, California, v. 23, n. 6, p. 723-744, 1997. JÄHNIG, C. C. Assessing Business Knowledge of Students in German Higher Education. In: JAHRBUCH DER BERUFS-UND WIRTSCHAFTSPÄDAGOGISCHEN FORSCHUNG, 2013, Opladen. Proceedings […] Opladen: Verlag Barbara Budrich, 2013. p. 47-59. KLOOSTERMAN, P. Beliefs about mathematics and mathematics learning in the secondary school: Measurement and implications for motivation. In: LEDER, G. C.; PEHKONEN, E.; TORNER, G. (Eds.). Beliefs: A Hidden Variable in Mathematics Education? Dordrecht: Kluwer Academic Publishers, 2002. p. 247-270. LESTER JR, F. K. Implications of research on students’ beliefs for classroom practice. In: LEDER, G. C.; PEHKONEN, E.; TORNER, G. (Eds.). Beliefs: A Hidden Variable in Mathematics Education? City: Springer, 2002. p. 345-353. MA, X.; KISHOR, N. Attitude toward self, social factors, and achievement in mathematics: A meta- analytic review. Educational Psychology Review, New York, v. 9, n. 2, p. 89-120, 1997. MIRZA, A.; HUSSAIN, N. Performing Below the Targeted Level: An Investigation into KS3 Pupils’ Attitudes Towards Mathematics. Journal of Education and Educational Development, Amsterdams, v. 5, n. 1, p. 8-24, 2018. NESPOR, J. The role of beliefs in the practice of teaching. Journal of curriculum studies, Oxfordshire, v. 19, n. 4, p. 317-328, 1987. OSBORNE, J. W. Advantages of hierarchical linear modeling. Practical Assessment, Research, and Evaluation, Massachusetts, v. 7, n. 1, p. 1-4, 2002. PAJARES, M. F. Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of educational research, California, v. 62, n. 3, p. 307-332, 1992. PEGG, J. Promoting the acquisition of higher order skills and understandings in primary and secondary mathematics. In: TEACHING MATHEMATICS? MAKE IT COUNT: WHAT RESEARCH TELLS US ABOUT EFFECTIVE TEACHING AND LEARNING OF MATHEMATICS, 2010, Melbourne. Proceedings […] Melbourne: ACER, 2010. p. 35-38. RAUDENBUSH, S. W. Hierarchical linear models and experimental design. In: EDWARDS, L. K. (Ed.). Applied analysis of variance in behavioral science New York: Marrel Dekker, 1993. p. 459- 496. v. 137. RAUDENBUSH, S. W.; BRYK, A. S.; CONGDON, R. HLM 6 for Windows. Lincolnwood: Scientific Software International, p. 2004. ROESKEN, B.; PEPIN, B.; TOERNER, G. Beliefs and beyond: affect and the teaching and learning of mathematics. ZDM, New York, v. 43, n. 4, p. 451-455, 2011. SCHOMMER‐AIKINS, M.; DUELL, O. K.; HUTTER, R. Epistemological beliefs, mathematical problem‐solving beliefs, and academic performance of middle school students. The elementary school journal, Chicago, v. 105, n. 3, p. 289-304, 2005. SNIJDERS, T. A. Multilevel analysis. Great Britain: Springer, 1999. SPRUCE, R.; BOL, L. Teacher beliefs, knowledge, and practice of self-regulated learning. Metacognition and Learning, New York, v. 10, n. 2, p. 245-277, 2015. STAPLES, M. E.; TRUXAW, M. P. The mathematics learning Discourse project: fostering higher order thinking and academic language in urban mathematics classrooms. Journal of Urban Mathematics Education, Texas, v. 3, n. 1, p. 27-56, 2010. SUPRAPTO, N. Students’ attitudes towards STEM education: Voices from indonesian junior high schools. Journal of Turkish Science Education, Trabzon, v. 13, n. special, p. 75-87, 2016. THIEN, L. M.; DARMAWAN, I. G. N.; ONG, M. Y. Affective characteristics and mathematics performance in Indonesia, Malaysia, and Thailand: what can PISA 2012 data tell us? Large-scale Assessments in Education, New York, v. 3, n. 1, p. 1-16, 2015. WIJSMAN, L. A.; WARRENS, M. J.; SAAB, N.; VAN DRIEL, J. H.; WESTENBERG, P. M. Declining trends in student performance in lower secondary education. European Journal of Psychology of Education, Heidelberg, v. 31, n. 4, p. 595-612, 2016.