Mathematical Problem Solving Ability of Eleventh Standard Students

J. Johnsi Priya*
Assistant Professor, Meston College of Education (Autonomous), Chennai, TamilNadu, India.
Periodicity:August - October'2017
DOI : https://doi.org/10.26634/jpsy.11.2.13786

Abstract

There is a general assertion among mathematics instructors that learners need to acquire problem solving expertise, figure out how to communicate using mathematics knowledge and aptitude, create numerical reasoning and thinking, to see the interconnectedness amongst mathematics and other subjects. Based on this perspective, the present study aims to examine the mathematical problem solving ability of eleventh standard students. A sample of 810 Eleventh standard students (406 boys and 404 girls) was selected from different schools of Chennai district, using the stratified random sampling technique. Survey method of research has been adapted. The Mathematical Problem Solving Ability test constructed by the investigator was used to collect data from the eleventh standard students. Mean, standard deviation,'t' test, and one-way ANOVA were used to analyze the data with the help of SPSS (Version 20.0). The analysed data were tabulated and tested with hypothesis. Finding shows that the mathematical problem solving ability of girl students is significantly higher than boys. There is no significant difference among government, government aided, and self-financing higher secondary school students in their Mathematical Problem Solving Ability. It is also observed that the students from high socio-economic status found to be higher than their counterparts in their mathematical problem solving ability.

Keywords

Mathematical Problem Solving Ability, Eleventh Standard Students, Gender, Type of School, Socio-Economic Status.

How to Cite this Article?

Priya, J. J. (2017). Mathematical Problem Solving Ability of Eleventh Standard Students. i-manager’s Journal on Educational Psychology, 11(2), 36-44. https://doi.org/10.26634/jpsy.11.2.13786

References

[1]. Adeleke, M. A. (2007). Gender disparity in mathematical performance revisited: Can training in problem solving bring difference between boys and girls? Essays in Education, 21, 435- 449.
[2]. Ayodhya, P. (2007). Problem solving skills – Effectiveness of conventional and Polya's heuristic approach. Edutracks, 7(3), 34-39.
[3]. Baskaran, K. (1991). Achievement motivation, attitude toward problem-solving and achievement in mathematics of standard X students in Devakottai educational district (Unpublished Doctoral Dissertation, Alagappa University. Karaikudi).
[4]. Callejo, M. L., & Vila, A. (2009). Approaches to mathematical problem solving and students' belief systems: Two case studies. Educational Studies in Mathematics, 72(1), 111–126.
[5]. Caplan, J. B. (2005). The preservative search for sex differences in mathematics abilities. In A. M. Gallagher & J. C. Kaufman (eds.) Gender Differences in Mathematics: An Integrative Psychological Approach. Cambridge: Cambridge University Press.
[6]. Chang, C. Y., & Taipei, Y. H. (2002). Exploring interrelationship between problem solving ability and science process skills of Earth sciences students in Taiwan. International Journal of Science Education, 24(5), 441- 451.
[7]. Cook, E., & Cook, R. L. (2005). Cross-Proportions: A conceptual method for developing quantitative problemsolving skills. Journal of Chemical Education, 82(8), 1187-1189.
[8]. Davis, D. J. N. (1995). The relationship between reading and attitudes and mathematical verbal problem solving ability of introductory algebra college students. Dissertation Abstracts International, 568, 3039-A.
[9]. Dhillon, A. S. (2000). Individual differences within problem-solving strategies used in Mathematics. Science Education, 82(3), 379-405.
[9]. Dhillon, A. S. (2000). Individual differences within problem-solving strategies used in Mathematics. Science Education, 82(3), 379-405.
[11]. Erdogan, A. (2015). Turkish primary school students' strategies in solving a non-routine mathematical problem and some implications for the curriculum design and implementation. International Journal for Mathematics Teaching and Learning, 15, 414.
[12]. Erickson, D. K. (1993). Middle school mathematics teachers views of mathematics and mathematics education, their planning and classroom instruction, and student beliefs and achievement. Paper submitted at the Annual Meeting of the American Educational Research, Atlanta, GA.
[13]. Eynde, P. O., Corte, E. D., & Verschaffel, L. (2006). Accepting emotional complexity: A socio-constructivist perspective on the role of emotions in the mathematics classroom. Educational Studies in Mathematics, 63(2), 193-207.
[14]. Fuchs, L. S., Fuchs, D., Prentice, K., Hamlett, C. L., Finelli, R., & Courey, S. J. (2004). Effect of Schema based instruction in promoting mathematical problem solving. Journal of Educational Psychology, 96(4), 635–647.
[15]. Fuchs, L. S., Fuchs, D., Stuebing, K., Fletcher, J. M., Hamlett, C. L., & Lambert, W. (2008). Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100(1), 30-47.
[16]. Gallagher, A. M., DeLisi, R., Holst, P. C., McGillicuddy, A. V., Morely, M. & Cahalan, C. (2000). Gender differences in advanced mathematical problem solving. Journal of Experimental Child Psychology, 75, 165-190. i-
[17]. Guven, B., & Cabakcor, B. O. (2013). Factors influencing mathematical problem solving achievement of seventh grade Turkish students. Learning and Individual Differences, 23, 131–137.
[18]. Halpern, D. F. (2000). Sex Differences in Cognitive rd Abilities (3 ed.). New Jersey: Erlbaum.
[19]. Horvinabhavi, B. L., Kattamani V. N., & Digar A. E. (2004). Problem Solving Ability of College Students (Unpublished M.Ed Dissertation, Regional institute of Education, Mysuru).
[20]. Hwang, W. Y., Chen, N. S., Dung, J. J., & Yang, Y. L. (2007). Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Educational Technology and Society, 10(2), 191-212.
[21]. Hyde, J. S., Fennema, E., & Lamon, S. J. (2000). Gender differences in mathematics performance: A meta-analysis. Psychological Bulletin, 107(2), 139-155.
[22]. Jangala, P. R. (2008). Problem solving ability in mathematics of seventh standard students (Unpublished M.Ed Dissertation, Regional institute of Education, Mysuru).
[23]. Jitendra, A. K., Griffin, C. C., Haria, P., Leh, J., Adams, A., & Kaduvettor, A. (2007). A comparison of Single and Multiple Strategy Instruction on third grade students' mathematical problem solving. Journal of Educational Psychology, 99(1), 115-127.
[24]. Johan, D. (2002). Everyday problem solving in engineering: Lessons for engineering educators. Journal of Engineering Education, 95(2), 139-151.
[25]. Karasel, N., Ayda, O., & Tezer, M. (2010). The Relationship between Mathematics Anxiety and Mathematical Problem Solving Skills among Primary School Students. Procedia Social and Behavioral Sciences, 2, 5804-5807.
[26]. Kempert, S., Saalbach, H., & Hardy, I. (2011). Cognitive benefits and costs of bilingualism in elementary school students: The case of mathematical word problems, Journal of Educational Psychology, 103(3), 547- 561.
[27]. Krawec, J. L. (2014). Problem representation and mathematical problem solving of students of varying math ability. International Journal of Educational Research, 68, 15–26.
[28]. Krishanan, N. J. (1990). Problem solving strategies in Mathematics among high students in Devakottai District. Third Survey of Research in Education, 543.
[29]. Kurshmlia, R. & Vula, A. E. (2012). Mathematics word problem solving for third grade students. Education for the Knowledge Society, 389-401.
[30]. Lee, S. H. (2011). Working memory, attention, and mathematical problem solving: A longitudinal study of elementary school children. Journal of Educational Psychology, 103(4), 821-837.
[31]. Manohara, J. L., & Ramganesh, E., (2009). Creative problem solving ability of standard XI students. Edutracks, 9(4), 29-31.
[32]. Mech, A., & Patral, K. (2011). A comparative study of scholastic achievement in mathematics examinations in relation to conceptual understanding and mathematics ability. A Quarterly Journal of Science Education, 49(1), 44- 51.
[33]. Nagalakshmi, K. (1995). Construction of problem solving ability test in mathematics for secondary students and study of problem solving ability of tenth class students in twin cities of Hyderabad. Osmania University, Sixth Survey of Educational Research (c.f. Devi Ahilya University, http:/edusearch.dauniv.ac.in).
[34]. Papadopoulos, I. (2015). Beliefs and mathematical reasoning during problem solving across educational levels. In Views and Beliefs in Mathematics Education (pp. 183-195) Springer Fachmedien Wiesbaden Publisher, Published Online, 183-195. DOI 10.1007/978-3-658-09614- 4_15.
[35]. Passolunghi, M. C., & Pazzaglia, F. (2004). Individual differences in memory updating in relation to arithmetic problem solving. Learning and Individual Differences, 14(4), 219-230.
[36]. Prakash, S. (2000). A study of mathematical creativity and achievement of elementary school students in relation to problem solving ability, anxiety and socio-demographic variables. Punjab University, Sixth Survey of Educational Research (c.f Devi Ahilya University, http:/edusearch.dauniv.ac.in)
[37]. Redgeway, J. E., Zawojewski, J. S., Hoover, M. N., & Lambdin, D. V. (2002). Student attainment in connected mathematics curriculum. In S. L. Senk & D. R. Thompson (Eds.), Standards-based school mathematics curricula: What they are? What do students learn? Mahwah, New Jersey: Lawrence Erlbaum Associates.
[38]. Sajadi, M., Amiripour, P., & Rostamy-Malkhalifeh, M. (2013). The examining of mathematical word problems solving ability under efficient representation aspect. Mathematics Education Trends and Research, 1-11.
[39]. Sangcap, P. G. A. (2010). Mathematics-related beliefs of Filipino college students: Factors affecting mathematics and problem solving performance. International Conference on Mathematics Education Research, 8, 465- 475.
[40]. Seeley, C., & Harold, P. (2004). Designing mathematics or science curriculum programs. National Academy of Sciences, Washington, D.C: National Academies Press.
[41]. Sepeng, P., & Madzorera., A. (2014). Sources of difficulty in comprehending and solving mathematical word problems. International Journal Educational Science, 6(2), 217-225.
[42]. Shankar, S. (2010). A study of problem solving ability of IX standard students in mathematics of Ranga Reddy district of AP (Unpublished M.Ed Dissertation, Regional institute of Education, Mysuru).
[43]. Sharma, I. (2007). Problem solving ability and scientific attitude as determinant of academic achievement of higher secondary students. Journal of All India Association for Educational Research, 19 (1&2), 68-69.
[44]. Sidhu, K. S. (1995). The Teaching of Mathematics. New Delhi: Sterling Publishers Pvt. Ltd.
[45]. Singh, V. P. (1993). Efficiency of intellectual and mathematical creative thinking abilities for mathematical problem solving performances of high school students. Indian Educational Review, 28, 2-4.
[46]. Swanson, H. L. (2014). Cognitive strategy interventions improve word problem solving and working memory in children with math disabilities. Frontiers in Education, 6, 1099-1105.
[47]. Tolar, T. D., Fuchs, L., Cirino, P. T., Fuchs, D., Hamlett, C. L., & Fletcher, J. M. (2012). Predicting development of mathematical word problem solving across the intermediate grades. Journal of Educational Psychology, 104(4), 1083–1093.
[48]. Tsapa, R. S., & Dorasami, K. (2002). Problem solving ability in mathematics of students at the terminal stage of elementary education (Unpublished M.Ed Dissertation, University of Mysore, Mysuru).
[49]. Vermeer, H. J., Boekaerts, M., & Seegers, G. (2000). Motivational and gender differences: Sixth-grade students' mathematical problem-solving behaviour. Journal of Educational Psychology, 92(2), 308-315.
[50]. Walker, A. M. (2012). The Relationship between Reading Fluency and Mathematical Word Problem Solving: An Exploratory Study (Unpublished Doctoral Dissertation, Indiana State University).
[51]. Wheeler, D. (1982). Mathematisation Matters. For the Learning of Mathematics, 3(1), 45- 47.
[52]. Yalla, T. S. J., & Ayodhya, P. (2010). Gender difference in Mathematics Problem solving. Edutracks, 9(9), 40–44.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.