**EURASIA Journal of Mathematics, Science and Technology Education**
Volume 11, Issue 6 (December 2015), pp. 1415-1427

DOI: 10.12973/eurasia.2015.1402a

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**Research Article**

*Published online on Jul 02, 2016*

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**Enhancing Mathematics Achievement of Elementary School Students through Homework Assignments Enriched with Metacognitive Questions**

Zeynep Cigdem Ozcan & Emine Erktin

Metacognitive enrichment has become animportant component of modern mathematics instruction. This study investigatesthe effect of homework assignments enriched with metacognitive questions onstudents’ mathematics achievement and homework behaviors. A quasi-experimentaldesign with pre- and post-test measures and two groups (experimental andcontrol) was employed to investigate the effect of the enriched homework.Forty-four students, 25 boys and 19 girls, participated in the study. Thestudents in the experimental group responded to metacognitive questions as theyworked on homework that otherwise was common to both groups. First semester mathematicsscores taken from students’ report cards were used as a pre-test of mathematicsachievement; the mean of second and third examination scores were used as apost-test. The results revealed a significant difference between themathematics scores of students who had been given homework assignments enrichedwith metacognitive questions and those who had not been given such homework.

*Keywords*: homework assignments,metacognition, metacognitive questions, mathematics achievement

- Baştürk, R. (2009). Deneme modelleri. In A. Tanrıöğen (Ed.),
*Bilimselaraştırma yöntemleri*(pp. 29-50). Ankara: Anı Yayıncılık. - Bembenutty, H. (2009). Self regulation of homework completion.
*Psychology Journal*,*6*(4), 138-153. - Camahalan, F. M. G. (2006). Effects of self regulated learning onmathematics achievement of selected Southeast Asian children.
*Journal ofInstructional Psychology,**33*(3),194-205. - Cardella-Elawar, M. (1992). Promotingself-regulation in mathematics problem solving through individualized feedbackto bilingual students.
*Bilingual Review, 7*(1),36-45. - Cardella-Elawar, M. (1995). Effects ofmetacognitive instruction on low achievers in mathematics problems.
*Teaching and Teacher Education, 11*(1),81-95*.*Doi: 10.1016/0742-051X(94)00019-3. - Desoete, A., & Veenman, M. (2006). Metacognition in mathematics: Critical issues onnature, theory, assessment and treatment. In A. Deseote & M. Veenman(Eds.),
*Metacognition in mathematicseducation*(pp. 1-10). New York: Nova Science Publishers. - Dunlosky, J., & Metcalfe, J. (2009).
*Metacognition.*Thousand Oaks, CA: Sage Publication. - Du Toit, S., & Kotze, G. (2009). Metacognitive strategies in theteaching and learning of
- mathematics.
*Pythagoras,70*, 57-67. Doi:10.4102/pythagoras.v0i70.39. - Efklides, A., Kiorpelidou, K., & Kiosseoglou, G. (2006). Worked-outexamples in mathematics: Effects on performance and metacognitive experience.In A. Desoete & M. Veenman (Eds.),
*Metacognitionin mathematics**education*(pp.11-33). New York: Nova Science Publishers. - Flavel, J. H. (1976). Metacognitive aspects of problem solving. In L.B. Resnick (Ed.),
*The nature ofintelligence*(pp. 231-236). Hillsdale, NJ: Erlbaum. - Hattie, J., & Timperly, H. (2007). The power of feedback.
*Review of Educational Research, 77*(1),81-112. Doi: 10.3102/003465430298487. - Hill, S., Spencer, S., Alston, R., & Fitzgerald, J. (1986).Homework policies in the schools.
*Education,107*(1), 58*-*70. - Hoe, L. N., Cheong, A. C. S., & Yee, L. P. (2001). The role ofmetacognition in the learning mathematics among low achieving students.
*Teaching and Learning, 22*(2), 18-30. - Hoek, D., Van den E., P., & Terwel, J. (1999). The effects ofintegrated social and cognitive strategy instruction on mathematics achievementin secondary education.
*Learning and Instruction*,*9*(5), 427-448.Doi:10.1016/S0959-4752(98)00026-7. - Hong, E., & Lee, K. (2006a).
*Homework Problems Questionnaire:Student Form*. LasVegas: - University of Nevada,Las Vegas.
- Hong, E., & Lee, K. (2006b).
*Homework Problems Questionnaire:Teacher Form*. LasVegas: - University of Nevada,Las Vegas.
- Hsiao, H.C., & Chang, J.C. (2003). A quasi-experimental studyresearching how a problem-solving teaching strategy impacts on learningoutcomes for engineering students.
*World Transactions on Engineering andTechnology Education, 2*(3), 391-394. - Huitema, B. (2007). Analysis of covariance (ANCOVA). In N. J.Salkind, & K. Rasmussen (Eds.),
*Encyclopedia of measurement andstatistics*(pp. 30-33). Thousand Oaks, CA: Sage Publications. Doi:http://dx.doi.org/10.4135/9781412952644.n18 - Jacobse, A. E., & Harskamp, E. G. (2009). Student-controlled metacognitive trainingfor solving word problems in primary school mathematics.
*Educational Research and Evaluation, 15*(5), 447-463. Doi:10.1080/13803610903444519. - Kapa, E. (2001). A metacognitive support during the process ofproblem-solving in a computerized environment.
*Educational Studies inMathematics,**47*, 317-336. Doi:10.1023/A:1015124013119. - Kincannon, J., Gleber, C., & Kim, J. (1999, February).
*The effects of metacognitive training onperformance and use of metacognitive skills in self-directed learningsituations.*Paper presented at the National Convention of the Associationfor Educational Communications and Technology, Houston, TX. - King, A. (1990). Reciprocal peer questioning: A strategy for teachingstudents how to learn from lectures.
*ClearingHouse, 64*(2), 131-136. Doi:10.1080/00098655.1990.9955828. - Kitsantas, A., Cheema, J., & Ware, H. W. (2011). MathematicsAchievement: The Role of Homework and Self-efficacy Beliefs.
*Journal of Advanced Academic*s,*22*(2), 310-339. - Doi: 10.1177/1932202X1102200206.
- Kramarski, B., & Mevarech, Z. R. (2003). Enhancing metacognitivereasoning in the classroom: The effect of cooperative learning andmetacognitive training.
*AmericanEducational Research Journal, 40*, 281-310.Doi: 10.3102/00028312040001281. - Küçük-Özcan, Z., Ç. (2000).
*Teaching metacognitive strategies to 6*(Unpublishedmaster’s thesis). Boğaziçi University, İstanbul.^{th}grade students. - Labuhn, A. S., Zimmerman, B. Z., & Hasselhorn, M. (2010).Enhancing students’ self-regulation and mathematics performance: The influenceof feedback and self-evaluative standard.
*MetacognitionLearning*,*5*, 173-194. Doi:10.1007/s11409-010-9056-2. - Larson, C. O., Dansereau, D. F., O’Donnell,A. M., Hythecker, V. I., Lambiotte, J. G., & Rocklin, T. R. (1985). Effectsof metacognition and elaborative activity on cooperative learning and transfer.
*Contemporary Educational Psychology, 10*, 342-348. Doi: 10.1016/0361-476X(85)90031-1. - Legg, A. M., & Locker, L. (2009). Math performance and itsrelationship to math anxiety and metacognition.
*North American Journal of Psychology, 11*(3), 471-486. - Milli Eğitim Bakanlığı. (2008).
*İlköğretimprogramı*. Ankara: Devlet Kitapları Müdürlüğü Basımevi. - Mevarech, Z. R., & Kramarski, B. (1997). IMPROVE: Amultidimensional method for teaching mathematics in heterogeneous classrooms.
*American Educational Research Journal, 34*,365-394. Doi:10.3102/00028312034002365. - Mevarech, Z., & Fridkin, S. (2006). The effects of IMPROVE onmathematical knowledge, mathematical reasoning and meta-cognition.
*Metacognition Learning,**1*, 85-97. Doi:10.1007/s11409-006-6584-x. - Organization of Economic Cooperation and Development. (2010). PISA2009 results: What students know and can do: Student performance in reading,mathematics and science. Paris: OECD Publishing.
- Organization of Economic Cooperation and Development. (2003).
*Learning for tomorrow’s world. First resultsfrom PISA 2003.*Retrieved from http://www.oecd.org/dataoecd/1/60/ 34002216.pdf - Özcan, Z. Ç., & Erktin, E. (2013,September). Mathematics homework behavior scale:Reliability and validity study. Paper presented at the 21
^{st}Educational Sciences Conference, Istanbul. - Özsoy, G. (2007).
*İlköğretim beşinci sınıf düzeyinde üstbilişstratejileri öğretiminin, problem çözme başarısına etkisi*(Unpublished doctoral thesis), GaziÜniversitesi, Ankara. - Özsoy, G., & Ataman, A. (2009). The effect of metacognitivestrategy on mathematical problem solving achievement.
*International Electronic Journal of Elementary Education, 1*(2),67-82. - Panaoura, A., Gagatsis, A., & Demetriou, A. (2009). Anintervention to the metacognitive performance: Self regulation in mathematicsand mathematical modeling.
*Acta DidacticaUniversitatis Comenianae Mathematics,**9*,63-79. - Panaoura, A., & Philippou, G. (2003, July).
*The construct validity of an inventory forthe measurement of young pupils' metacognitive abilities in mathematics.*Paper presented at the 27th International Group for the Psychology ofMathematics Education Conference Held Jointly with the 25th PME-NA Conference,Honolulu, HI. - Pilten, P. (2008).
*Üstbiliş stratejileri öğretiminin ilköğretimbeşinci sınıf öğrencilerinin matematiksel muhakeme becerilerine etkisi*(Unpublished doctoral thesis), GaziÜniversitesi, Ankara. - Polya, G. (1945).
*How to solveit: A new aspect of mathematical method.*New Jersey: Princeton UniversityPress. - Power, T.J., Dombrowski, S.C., Watkins, M.W., Mautone, J. A., &Eagle, J. W. (2007). Assessing children’s homework performance:Development of multi dimensional, multiinformant rating scales.
*Journal ofSchool Psychology, 45*(3), 333-348. Doi: 10.1016/j.jsp.2007.02.002. - Ramdass, D., & Zimmerman, B. J. (2011). Developing self-regulationskills: The important role of homework.
*Journalof Advanced Academics*,*22*(2),194-218. Doi:10.1177/1932202X1102200202. - Schmitz, B, & Perels, F. (2011).Self-monitoring of self-regulation during math homework behaviour usingstandardized diaries.
*Metacognition andLearning,**6*, 255–273. Doi: 10.1007/s11409-011-9076-6. - Schunk, D. H., & Ertmer, P. A. (2000). Self regulation andacademic learning: Self efficacy enhancing interventions. In M. Boekaerts, P.R. Pintrich, & M. Zeidner (Eds.),
*Handbookof**Self Regulation*(pp. 631-649).San Diego, CA: Academic Press. - Schraw, G., & Dennison, R. S. (1994). Assessing metacognitiveawareness.
*Contemporary EducationalPsychology*,*19*, 460-475. Doi:10.1006/ceps.1994.1033. - Shoenfeld, A. H. (1992). Learning to think mathematically: problemsolving, metacognition and sense making in mathematics. In D. A. Grouws (Ed.),
*Handbook of research on mathematics teachingand learning*(pp. 164-194). New York: MacMillan. - Xu, J. (2011). Homework completion at the secondary school level: Amultilevel analysis.
*The Journal ofEducational Research, 104*, 171-182. Doi: 10.1080/00220671003636752. - Van der Stel, M., Veenman, M. V. J., Deelen, K., & Haenen, J.(2010). The increasing role of metacognitive skills in math: A cross-sectionalstudy from a developmental perspective.
*ZDMMathematics Education*,*42*,219-229. Doi: 10.1007/s11858-009-0224-2. - Van der Walt, M., & Maree, K. (2007). Do mathematics learningfacilitators implement metacognitive strategies?
*South African Journal of Education,**27*(2), 223-241. - Walberg, H. J., Paschal, R. A., & Weinstein, T. (1985).Homework's powerful effects on learning,
*Educational Leadership*,*42*, 76-78. - Zimmerman, B. J. (1986). A social cognitive view of self-regulatedacademic learning.
*Journal of EducationalPsychology*,*81*(3), 329-339. Doi:10.1037/0022-0663.81.3.329. - Zimmerman, B. J., & Kitsantas, A. (2005).Homework practices and academic achievement: The mediating role ofself-efficacy and perceived responsibility beliefs.
*Contemporary Educational Psychology*,*30*, 397-417. Doi: 10.1016/j.cedpsych.2005.05.003.