CFP last date
20 December 2024
Reseach Article

Grade 12 Learners’ Conceptual Knowledge in Probability and Counting Principles

by Francis Kwadwo Awuah, Derick Folson
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 176 - Number 6
Year of Publication: 2017
Authors: Francis Kwadwo Awuah, Derick Folson
10.5120/ijca2017915628

Francis Kwadwo Awuah, Derick Folson . Grade 12 Learners’ Conceptual Knowledge in Probability and Counting Principles. International Journal of Computer Applications. 176, 6 ( Oct 2017), 24-30. DOI=10.5120/ijca2017915628

@article{ 10.5120/ijca2017915628,
author = { Francis Kwadwo Awuah, Derick Folson },
title = { Grade 12 Learners’ Conceptual Knowledge in Probability and Counting Principles },
journal = { International Journal of Computer Applications },
issue_date = { Oct 2017 },
volume = { 176 },
number = { 6 },
month = { Oct },
year = { 2017 },
issn = { 0975-8887 },
pages = { 24-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume176/number6/28557-2017915628/ },
doi = { 10.5120/ijca2017915628 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:41:49.797109+05:30
%A Francis Kwadwo Awuah
%A Derick Folson
%T Grade 12 Learners’ Conceptual Knowledge in Probability and Counting Principles
%J International Journal of Computer Applications
%@ 0975-8887
%V 176
%N 6
%P 24-30
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

South African learners’ challenge in reaching academic heights in mathematics is widely documented. The country’s revision of the Mathematics Curriculum which introduced topics like Probability and fundamental counting principles as compulsory topic in the National Senior Certificate (NSC), South Africa had prior anticipation of a host of challenges towards its implementation. Three years down the line, it has been detected that many teachers experience constrain when they teach the topic, making it difficult for learners to grasp the concepts and effectively solve problems in the topic. The study aims at investigating the achievement levels of grade 12 learners in probability and fundamental counting principles. Participants of the study included four hundred and ninety grade 12 learners from seven different schools in Nongoma educational circuit, South Africa. Data was collected by means of an achievement test and analyzed by the aid of SPSS 23. The study followed the survey research strategy and used the different concepts taught in the topic as a framework of analysis. The findings suggest that learners in this study excelled the most in the use of Venn diagrams to solve probability problem. The result shows that learners’ performance in the use of contingency tables to solve probability problems and fundamental counting principles was below expectation. The study had several implications regarding learners’ strength and weakness in the topic thus recommendations were made to assist all stake holders on ways of enhancing learners conceptual understating of the topic.

References
  1. Tella, A. (2008) .Teacher variables as predictors of academic achievement of primary school pupils. Mathematics International Electronic Journal of Elementary Education 1(1) 17-33.
  2. Pandor,N. (2006). Not where we want to be. Address by the minister of education on the release of the 2006 senior certificate examination results. Cape town parliament,26 December, 2006.
  3. Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use? Journal of Mathematics Education 4(1), 89-100.
  4. Unodiaku, S.S. (2012). Development and validation of mathematics readiness. Test for senior secondary school student. African journal of science technology and mathematics education 2(1), 57- 71.
  5. Center for Development and Enterprice,CDE (2010). The math’s and the science performance of South Africa’s public schools: some lesson from the past decade. Available at www.cde.org.zaAssessed 10 September 2017.
  6. Siyepu, S. (2013). The zone of proximal development in the learning of mathematics. South African Journal of Education, 33(2).Art no 714, 13 pageshttp://www.sajournalof education.co.za
  7. Atagana, H.I., Mogari, L. D., Kriek, J., Ochonogor, E. C., Ogbonnaya, U. I., Dhlamini J. J., & Makwakwa, E. G. (2010). An intervention into teachers' and learners' difficulties in some topics in mathematics, science and technology: A report of the ISTE 2010 winter school. The Institute for Science and Technology Education, University of South Africa. Pretoria, South Africa.
  8. Department of Basic Education. (2011). Curriculum and assessment policy statement (CAPS). Pretoria: Government Printer
  9. Adu, E. O., & Gosa L. J. (2014). The Teaching and Learning of Data- Handling in Primary Schools: South African Experience. Mediterranean Journal of Social Sciences, 5(23). 814-819.
  10. Makwakwa, E. G. (2012). Exploring problems experienced by grade 11 mathematics in the teaching and learning of statistics.Masters dissertation, University of South Africa, Pretoria, South Africa retrieved from http://hdl.handle.net/105009483 .
  11. Saenz, C. (1998). Teaching probability for conceptual change educational studies in mathematics, 35, 233-254.
  12. Mutara, L. (2015). Exploring grade 10 learners’ errors and misconceptions involved in solving probability problems using different representations. Phd thesis, University of the Witwtersrand, Johannesburg, South Africa.
  13. South African Broadcasting Corporation (2013, April 19). Shortage of maths, science teachers a problem in South Africa. SABC. Retrieved from http://www.sabc.co.za/news/a/a212b8004f510b95be78bf1e5d06aea0/Shortage-of-maths,-science-teachers-a-problem-in-SA--20130419.
  14. Wessels ,D.C.J. & Kwari, R. (2003). The nature of problem solving in mathematics: traditional vs contemporary view Journal for Christian Scholarship, 39 (192), 69-93.
  15. Ogbonnaya, U.I. (2010). Improving the teaching and learning of parabolic functions by the use of the information and communication technology. African Journal of Research in MST Education, 14 (1), 46-60.
  16. Department of Basic Education, (2014). National senior certificate examination diagnostic report. Pretoria: Government Printing Works.
  17. Department of Basic Education, (2015). National senior certificate examination diagnostic report. Pretoria: Government Printing Works.
  18. Department of Basic Education, (2016). National senior certificate examination diagnostic report. Pretoria: Government Printing Works.
  19. Bloom, B. S. (1956). Taxonomy of educational objectives handbook: The cognitive domain. New York: David McKay.
  20. Lewis, R. (1999).Teachers coping with the stress of classroom discipline. Social psychology of education. 3(3), 155-171.
  21. Osterlind, S.J.(1989).Judging the quality of test items: Item analysis. In Constructing test items. :259-310). Springer Nertherlands.
  22. Bennett G.K., Seashore, H.G., & Wesman, A.G. (1991). Technical manual for the differential aptitude test. Chicago: Psychological Corporation.
  23. Cohen, L., Manion, L.,& Morisson. K. (2013). Research methods in education. Routledge.
  24. Salvia ,J & Y ssldyke, ,J E. (2001). Assessment. Boston, MA: Houghton Mifflin.
  25. Hof, M. (2012). Questionnaire evaluation with factor analysis and cronbach’s alpha: An example. Retrieved from: http://www.let.rug.nl/nerbonne/teach/rema-stats-meth-seminar/learner-papers/MHof-QuestionnaireEvaluation-2012-Cronbach-FactAnalysis.pdf (Accessed on 10 March 2016)
  26. Naroth,C (2010). Constructive teacher feedback for enhancing learner performance in mathematics doctoral thesis, university of free state, Free state, South Africa.
Index Terms

Computer Science
Information Sciences

Keywords

Bloom’s taxonomy concepts grade 12 learners probability mathematics achievements Matric.