Educational Research and Reviews

  • Abbreviation: Educ. Res. Rev.
  • Language: English
  • ISSN: 1990-3839
  • DOI: 10.5897/ERR
  • Start Year: 2006
  • Published Articles: 2009

Full Length Research Paper

Manifestations and meanings of cognitive conflict among mathematics students in Embu, Kenya

Dickens Okach Ngicho
  • Dickens Okach Ngicho
  • Department of Education, Faculty of Education and Social Sciences, University of Embu, Kenya.
  • Google Scholar
Simon Karuku
  • Simon Karuku
  • Department of Education, Faculty of Education and Social Sciences, University of Embu, Kenya.
  • Google Scholar
Madrine King'endo
  • Madrine King'endo
  • Department of Education, Faculty of Education and Social Sciences, University of Embu, Kenya.
  • Google Scholar


  •  Received: 01 September 2020
  •  Accepted: 03 November 2020
  •  Published: 30 November 2020

References

Adnyani LPAP (2020). Applying cognitive conflict strategy to develop mathematical critical thinking ability and character of students. Journal of Mathematics Education 5(1):30-38.
Crossref

 

Akpinar E, Erol D, Aydogdu B (2009). The role of cognitive conflict in constructivist theory: An implementation aimed at science teachers. Procedia-Social and Behavioral Sciences 1(1):2402-2407. 
Crossref

 
 

Ashman AF, Conway RN (2017). Using cognitive methods in the classroom. London: Routledge.
Crossref

 
 

Baddock M, Bucat R (2008). Effectiveness of a classroom chemistry demonstration using the cognitive conflict strategy. International Journal of Science Education 30(8):1115¬-1128.
Crossref

 
 

Bernard RH (2012). Social research methods: Qualitative and quantitative approaches. (2nd). Thousand Oaks, CA: Sage.

 
 

Bloom BS, Krathwohl DR (1956). Taxonomy of educational objectives: The classification of Educational Goals, by a committee of college and university examiners. Handbook I: Cognitive Domain. New York NY: Longmans, Green.

 
 

Chambers P, Timlin R (2019). Teaching mathematics in the secondary schools. Thousand Oaks, CA: Sage Publications.

 
 

Cho S, Yang J, Mandracchia M (2015). Effects of M3 curriculum on Mathematics and English proficiency achievement of mathematically promising English language learners. Journal of Advanced Academics 26(2):112-142. 
Crossref

 
 

Chow T-C, Treagust D (2013). An intervention study using cognitive conflict to foster conceptual change. Journal of Science and Mathematics Education in Southeast Asia 36(1):44-64.

 
 

Creswell JW (2013). Qualitative inquiry and research design: Choosing among five approaches (3rd ed). Thousand Oaks, CA: Sage Publications.

 
 

Creswell JW (2014). Research design: Qualitative, quantitative, and mixed methods approach.Thousand Oaks. The United States of America. Sage Publications.

 
 

Devine A, Hill F, Carey E, Szűcs D (2018). Cognitive and emotional math problems largely dissociate: Prevalence of developmental dyscalculia and mathematics anxiety. Journal of Educational Psychology 110(3):431-444. 
Crossref

 
 

Finau T, Treagust DF, Won M, Chandrasegaran AL (2018). Effects of a mathematics cognitive acceleration program on student achievement and motivation. International Journal of Science and Mathematics Education16(1):183-202.
Crossref

 
 

Fraser D (2007). Using cognitive conflict to promote a structural understanding of grade 11 algebra.Thesis of education in science (Master's thesis). Simon Fraser University. Canada.

 
 

Gal H (2019). When the use of cognitive conflict is ineffective-problematic learning situations in geometry. Educational Studies in Mathematics 102(2):239-256.
Crossref

 
 

Graffam B (2003). Constructivism and understanding: Implementing the teaching for understanding framework. Journal of Secondary Gifted Education 15(1):13-22. 
Crossref

 
 

Hermkes R, Mach H, Minnameier G (2018). Interaction-based coding of scaffolding processes. Learning and Instruction 54:147-155. 
Crossref

 
 

Jacobs VR, Franke ML, Carpenter TP, Levi L, Battey D (2007). Professional development focused on children's algebraic reasoning in elementary school. Journal for Research in Mathematics Education 38(3):258-288. 

 
 

Kang H, Scharmann LC, Kang S, Noh T (2010). Cognitive conflict and situational interest as factors influencing conceptual change. International Journal of Environmental and Science Education 5(4):383-405.

 
 

Lee G, Kwon J (2001). What do you know about students' cognitive conflict: A theoretical model of cognitive conflict process? Costa Mesa, CA: 309-325. Proceedings of 2001 AETS Annual meeting, Korea National University of Education.

 
 

Lee G, Kwon J, Park S, Kim J, Kwon H, Park H (2003). Development of an instrument for measuring cognitive conflict in secondary‐level science classes. Journal of Research in Science Teaching 40(6):585-603. 
Crossref

 
 

Li Y (2019). Mathematics education and mathematics culture-training mathematics literacy in mathematics education. 5th International Conference on Education Technology, Management and Humanities Science.doi:10.25236/etmhs.2019.374. Shandong Jiaotong University, Weihai, China.

 
 

Maharani IP, Subanji S (2018). Scaffolding based on cognitive conflict in correcting the students' Algebra errors. International Electronic Journal of Mathematics Education 13(2):67-74.
Crossref

 
 

Maker CJ (2020). Culturally responsive assessments of spatial analytical skills and abilities: Development, field testing, and implementation. Journal of Advanced Academics. 
Crossref

 
 

Makonye JP, Khanyile DW (2015). Probing grade 10 students about their mathematical errors on simplifying algebraic fractions. Research in Education 94(1):55-70. 

 
 

Maume K, Mathews P (2000). A study of cognitive accelerated learning in science. Irish Educational Studies 19(1):95-106. 
Crossref

 
 

Mufit F, Festiyed F, Fauzan A, Lufri L (2018). Impact of learning model based on cognitive conflict toward student's conceptual understanding. Conference Series: Materials Science and Engineering 335(1). 
Crossref

 
 

Mulungye MM, O'Connor M, Ndethiu S (2016). Sources of student errors and misconceptions in Algebra and effectiveness of classroom practice remediation in Machakos County-Kenya. Journal of Education and Practice 7(10):31-33.

 
 

Murphy L, Eduljee NB, Parkman S, Croteau K (2019). Gender differences in teaching and classroom participation methods. Journal of Psychological Research 13(2):317-319. 
Crossref

 
 

O'Brien B, Iannone P (2018). Students' experiences of teaching at secondary school and university: Sharing responsibility for classroom engagement. Journal of Further and Higher Education 42(7):922-936. 
Crossref

 
 

Pange J, Lekka A, Toki E (2010). Different learning theories applied to diverse learning subjects. Procedia Social and Behavioral Sciences 9(2010):800-804. 
Crossref

 
 

Pekrun R (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational psychology review 18(4):315-341. 
Crossref

 
 

Peled I, Shahbari JA (2015). Resolving cognitive conflict in a realistic situation with modeling characteristics: Coping with a changing reference in fractions. International Journal of Science and Mathematics Education 13(4):891-907.
Crossref

 
 

Piaget J (1932). The moral judgment of the child. London: Free Press.

 
 

Piaget J (1985). The equilibration of cognitive structures: The central problem of intellectual development. Chicago. University of Chicago Press.

 
 

Pratiwi E, Nusantara T, Susiswo S, Muksar M, Subanji S (2019). Characteristics of students' cognitive conflict in solving a problem based on information processing theory. International Journal of Learning, Teaching and Educational Research 18(2):76-88. 
Crossref

 
 

Putra R, Fauzan A, Habibi M (2019). The impact of cognitive conflict based learning tools on students' mathematical problem solving ability. International Journal of Educational Dynamics 2(1):209-218. 
Crossref

 
 

Rahim RA, Noor NM, Zaid NM (2015). Meta-analysis on element of cognitive conflict strategies with a focus on multimedia learning material development. International Education Studies 8(13):73-78. 
Crossref

 
 

Sayce L (2010). The way out of cognitive conflict: A planning toolkit for teachers. National Center for Excellence in the Teaching of Mathematics. London.

 
 

Susilawati W, Suryadi D, Dahlan JA (2017). The improvement of mathematical spatial visualization ability of student through cognitive conflict. International Electronic Journal of Mathematics Education 12(2):155-166.

 
 

Sutopo S (2014). Counterexample in cognitive conflict as factor influencing conceptual change.Qudus International Journal of Islamic Studies 2(2):198-218.

 
 

Swan M, Wake G, Joubert M (2005). Developing conceptual understanding through cognitive conflict and discussion in mathematics and science education. Centre for Research in Mathematics Education University of Nottingham: FaSMEd Position Paper.

 
 

Tall DO (1977). Cognitive conflict and the learning of mathematics. Proceedings of the First Conference of the International Group for the Psychology of Mathematics Education. Utrecht, The Netherlands.

 
 

Terry G, Hayfield N, Clarke V, Braun V (2017). Thematic analysis. The Sage handbook of qualitative research in psychology pp. 17-37.
Crossref

 
 

Tinto V (2012). Enhancing student success: Taking the classroom seriously. The International Journal of the First Year in Higher Education 3(1):1-8.

 
 

Vosniadou S, Verschaffel L (2004). Extending the conceptual change approach to mathematics learning and teaching. Special Issue of Learning and Instruction 14(5):445-451. 
Crossref

 
 

Vygotsky LS (1978). Mind and society: The development of higher mental processes. Cambridge, MA: Harvard University Press.

 
 

Watson JM (2002). Inferential reasoning and the influence of cognitive conflict. Educational Studies in Mathematics 51(3):225-256.
Crossref

 
 

Watson JM (2007). The role of cognitive conflict in developing students' understanding of average. Educational Studies in Mathematics 65(1):21-47.
Crossref

 
 

Waxer M, Morton JB (2012). Cognitive conflict and learning. In: N. M. Seel (Ed.), Encyclopedia of the sciences of learning pp. 585-587. Boston: Springer.
Crossref

 
 

Webb NM, Franke ML, Ing M, Turrou AC, Johnson NC, Zimmerman J (2019). Teacher practices that promote productive dialogue and learning in mathematics classrooms. International Journal of Educational Research 97:176-186. 
Crossref

 
 

Widada W, Herawaty D, Lubis ANMT (2018). Realistic mathematics learning based on the ethnomathematics in Bengkulu to improve students' cognitive level. Journal of Physics: Conference Series 1088(1):012028. Universitas Bengkulu, IOP Publishing.
Crossref

 
 

Wyrasti AF, Sa'dijah C, Anwar L (2016). The assessment of students' cognitive conflict by using student's cognitive map in solving mathematics problem. Proceeding International Conference on Education pp. 72-82. Universitas Negeri Malang, Indonesia.

 
 

Yamane T (1967). Statistics: An introductory analysis; 2nd Edition, New York: Harper and Row.

 
 

Zazkis R, Chernoff E (2006). Cognitive conflict and its resolution via pivotal/bridging example. In: J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education 5:465-472. Prague: PME. View