Differentiated Instruction in Teaching Fourth Grade Mathematics: Basis for an Instructional Module
Igraine Lynnil Latumbo
Discipline: Education
Abstract:
This quasi-experimental study investigated the impact of differentiated instruction on the mathematical literacy of fourth-grade students at the University of St. La Salle – Integrated School. The study aimed to compare the effects of Conventional Teaching Approach (CTA) and Differentiated Instruction (DI) by analyzing pretest and posttest scores, mean gain scores, and differences in scores between the two approaches. Ninety-one students from two classes participated in the study during the 2012-2013 academic year. One class served as the Control Group, receiving CTA, while the other was the Experimental Group, receiving DI. The t-test for dependent samples was used to compare pretest and posttest scores within each group, and the t-test for independent samples was used to compare scores between groups. The results indicated a significant improvement in mathematical literacy for both groups. The Control Group showed an increase from a below-average pretest mean to an average posttest mean, while the Experimental Group also improved from below average to average. However, the Experimental Group demonstrated a higher mean gain score compared to the Control Group, suggesting that DI was more effective in enhancing mathematical literacy. The study recommends that school administrators and curriculum planners consider incorporating DI into math programs to enhance student learning. It also suggests that teachers receive training on both conventional and modern teaching approaches. Additionally, students should be encouraged to express their learning preferences, and parents should collaborate with schools to ensure quality learning. Future research is encouraged to explore similar studies in other subject areas and grade levels.
References:
- Ali, R. (2012). Effect of Using Problem Solving Method in Teaching Mathematics. Asian Social Science, 6(2). Retrieved January 4, 2013,from www.ccsenet.org
- Allan, S. D. and Tomlinson, C.A. (2008). Leadership for differentiating schools and classrooms. Alexandria, VA: Association for Supervision and Curriculum Development.
- Altares, et.al. (2005). Elementary Statistics with Computer Applications. Manila, Philippines. Rex Book Store.
- Alvarez, M.A. (2008). Activity-based Science Learning and Lecture Method: Creating an effective learning atmosphere. Unpublished Masters’ Thesis. La Consolacion College.
- Ameh, P. O. and Dantani, Y. S. (2012). Effects of Lecture and Demonstration Methods on the Academic Achievement of Students in Chemistry in Nassarawa Local Government Area of Kano State. International Journal of Modern Social Sciences, 1(1), 29-37. Retrieved January 4, 2013, from www.ModernScientificPress.com
- Andrew, T. (2009). Modifying Assessment Strategies in the Classroom Differentiating Instruction to Include Many Ways to Assess Progress. [Online].
- Andrew, T. (2010). How Tiering Helps Differentiate Instruction: Differentiating Curriculum Content by Adapting Assignments. [Online]. Retrieved on July 5, 2012 from http://suite101.com
- Annenberg Foundation. (2012). The Universal Language. Math in Daily Life. How do numbers affect everyday decisions? [Online]. Retrieved on August 19, 2012 from http://www.learner.org
- Armstrong, T. (2011). Multiple Intelligences. [Online]. Retrieved on July 27, 2012 from http://www.thomasarmstrong.com q
- Best, J. and Kahn, J. (1998). Research in Education 8th ed. Singapore. Simon and Schuster.
- Brinkman, W.P.(2009). Design of a Questionnaire Instrument, Handbook of Mobile Technology Research Methods, ISBN 978-1-60692-767-0, pp. 31-57, Nova Publisher. Retrieved on July 21, 2012 from http://mmi.tudelft.nl
- Cabalo, J.T., (2008). Differentiated Instructional Accommodations in Elementary Mathematics: Basis for An Enhancement Program. Unpublished Doctoral Dissertation. University of St. La Salle, Bacolod City
- Cholewinski, M. (2009). An Introduction to Constructivism and Authentic Activity. Retrieved on December 4, 2012 from http://library.nuas.ac.jp
- Clapper,T.C. (2011). The effect of differentiated instruction on JROTC leadership training. ProQuest Dissertations and Theses. [Online]. Retrieved on May 17, 2012 from http://udini.proquest.com
- Corley, M. A. (2005). Differentiated Instruction Adjusting to the Needs of All Learners. Focus on Basics: Connecting Research and Practice, 7(C), 13-16. Retrieved October 4, 2012 from www.ncsall.net
- Dacey, L and Lynch, J.B. (2007). Math For All: Differentiating Instruction, Grades 3-5. Sausalito, CA. Math Solutions Publications.
- Davidson Institute for Talent Development. (2012). Tiered Lessons: One Way To Differentiate Mathematics Instruction. Adams,C.& Pierce, R. Gifted Child Today Prufrock Press Vol. 27, Issue 2, pp. 50-65 2004 [Online]. Retrieved on December 2, 2012 from http://www.davidsongifted.org
- Deauna, M. (1996). Elementary Statistics for Basic Education. Quezon City. Phoenix Publishing HOuse.
- Delfinado, D. D. (2009). Effects of Collaborative Inquiry and Direct Instruction Approaches on the Academic Performance in Biology of Grade 9 students of USLS-IS: Basis for Instructional Module in Biology. Unpublished Master's Thesis. La Consolacion College, Bacolod City
- Delisio, E.R. (2005). Multiple Intelligences. [online]. Retrieved on July 27, 2012 from http://www.educationworld.com
- Dooley, A.P. (2009). The Effects of Differentiated Instruction on a Fourth Grade Science Class. [Online]. Retrieved on May 21, 2012 from www.cehs.ohio.edu
- Elements of Effective Teaching Practice. (2005). [Online]. Retrieved July 27, 2012 from http://www.learnalberta.ca
- Farkota, R.M. (2003). The Effects of a 15-minute Direct Instruction Intervention in the Regular Mathematics Class on Student’s Mathematical Self-efficacy and Achievement. Monash University. [Online]. Retrieved on January 4, 2013 from www.acer.edu.au
- Felder, RM, and Brent R. (2005). Understanding Student Differences. [Online]. Retrieved on August 12, 2012 from http://www4.ncsu.edu
- Finnis, John. (2003). Learning in the Information Age. [Online]. Retrieved on July 24, 2012 from http://dev.twinisles.com
- Ford, M.P. (2005). Differentiation Through Flexible Grouping: Successfully Reaching All Readers. [Online]. Retrieved on May 18, 2012, from http://www.learningpt.org
- Frazier, K. (2012). Classroom Activities for Multiple Intelligences. [Online]. Retrieved on December 2, 2012 from http://kids.lovetoknow.com Garcia, A. G. (2011). Where to, Science and Math education? Manila Bulletin.Retrieved on September 22, 2012 from http://www.mb.com.ph
- Gardner, H. (2008). The 25th anniversary of the publication of Howard Gardner’s Frames of Mind: The Theory of Multiple Intelligences.[Online]. Retrieved on July 28, 2012, from http://www.pz.harvard.edu Gersten, R., Beckmann, S., Clarke, B., Foegen, A., Marsh, L., Star, J. R., &
- Witzel, B. (2009). Assisting students struggling with mathematics: Response to Intervention (RtI) for elementary and middle schools (NCEE 2009-4060). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.[Online] Retrieved on May 23, 2012 from http://ies.ed.gov
- Gibson, Emily Louise. (2005). Addressing the Needs of Diverse Learners Through Differentiated Instruction. [Online]. Retrieved on May 18, 2012 from http://humboldt-dspace.calstate.edu
- Guignon, A. (2011). Howard Gardner's Multiple Intelligences: A Theory for Everyone. [Online]. Retrieved on July 27, 2012 from http://www.educationworld.com
- Hall, T. (2002). Differentiated Instruction: Effective Classroom Practices Report. (NCAC Report No. H32H990004).[Online]. Retrieved on July 27, 2012 from http://www.cast.org
- Hall, T., Strangman, N., & Meyer, A. (2003). Differentiated instruction and implications for UDL implementation. Wakefield, MA: National Center on Accessing the General Curriculum. [Online]. Retrieved May, 21, 2012 from http://aim.cast.org
- Hilario, Robesa R. and Wei, Du. (2006). Elementary Mathematics Education Curriculum of Japan and the Philippines. [Online]. Retreived May 17, 2012, from http://air.lib.akita-u.ac.jp
- Hoffert, S. B. (2009). Mathematics: The Universal Language. Mathematics Teacher, September 2009, Volume 103, Issue 2, Page 130. [Online]. Retrieved on December 12, 2012 from http://www.nctm.org
- Horario, R. A. (2012). Science, math performance of students still too dull. The Manila Times. Retrieveon December 4, 2012 from http://www.manilatimes.net
- Hutton, S. (2007). Helping Kinesthetic Learners Succeed. [Online]. Retrieved on October 8, 2012 from http://www.education.com
- Johnston, P and Wilkinson, K.(2009). Enhancing Validity of Critical Tasks Selected for. National Forumof Teacher Education Journal, 19, 1-6. [Online]. Retrieved on December 25, 2012 from http://www.nationalforum.com
- Kaya, O.N., et. al. (2007). Comparing Multiple Intelligences Approach with Traditional Teaching on Eight Grade Students' Achievement in and Attitudes toward Science. Education Resources Information Center. [Online]. Retrieved on January 3, 2013 from http://www.eric.ed.gov
- Kelly, M. (2013). Lecture Pros and Cons. [Online] Retrieved on January 11, 2013 from http://712educators.about.com/od/lessonplans/p/lecture.htm.
- Kingpore, Bertie PhD. (2005). Differentiating Instruction: Rethinking Traditional Practices. [Online]. Retrieved on May 21, 2012 from http://www.bertiekingore.com
- Kocevar-Weidinger, S. E. (2004). Beyond active learning: a constructivist approach. Reference Services Review, 32, 141-148. Retrieved on June 1, 2012 from http://www.unc.edu
- Koeze, P.A. (2007). Differentiated Instruction: The effect on student achievement in an elementary school. Masters Theses and Doctoral Dissertations. Paper 31. [Online]. Retrieved on October 12, 2012 from http://commons.emich.edu
- Kolb, A. Y. and Kolb, D. A. (2005). The Kolb Learning Style Inventory—Version 3.1 2005 Technical Specifications. [Online]. Retrieved on August 12, 2012 from http://www.whitewater-rescue.com
- Leipzig, D.H. 2000. Differentiated Classroom Structures for Literacy Instruction. Online]. Retrieved July 27, 2012 from http://www.readingrockets.org Leonor, J.P. (2007). The Effects of Scientific Inquiry Method on the Academic
- Performance in Chemistry of High School Students in the University of St. La Salle-Integrated School. Unpublished Master’s Thesis. University of San Agustin-Iloilo
- Lin, C. (2009). A comparison study of web-based and traditional instruction on preservice teachers’knowledge of fractions. Contemporary Issues in Technology and Teacher Education [Online serial], 9(3). Retrieved on January 4, 2012 from http://www.citejournal.org
- Lopez, E. (2012). Constructivism in Teaching Elementary Algebra: It’s Influence in Mathematics Performance of Students in Large Classes. IAMURE:International Peer Reviewed Journal, 2, 1-17. Retrieved January 4, 2013, from iamure.com
- MacMath, S., Wallace,J. and Chi, X. (2009). Problem-Based Learning in Mathematics: A Tool for Developing Students’ Conceptual Knowledge. [Online]. Retrieved on September 1, 2012 from http://www.edu.gov.on.ca
- Macmillan, Dr. B., and Einon, Dr. P. (2006) Brilliant math games for kids to enjoy. Great Britian. Octopus Publishing Group Limited
- Math in Daily Life – The Universal Language. (2012). [Online]. Retrieved on May 21, 2012 from http://www.learner.org
- McLeod, S. A. (2008). Bruner - Learning Theory in Education. Retrieved on June 21, 2012 from http://www.simplypsychology.org/bruner.html
- McLeod, S. A. (2008). Jerome Bruner. [Online] Retrieved on July 13, 2012 from http://www.simplypsychology.org/bruner.html
- McLeod, S. A. (2010). David Kolb | Learning Styles. [Online] Retrieved on July 24, 2012 from http://www.simplypsychology.org
- Metropolitan Center for Urban Education. (2008). Culturally Responsive Differentiated Instructional Strategies. [Online]. Retrieved on May 17, 2012 from http://steinhardt.nyu.edu
- Miller, M. J., Ph.D. (2012). Reliability and Validity. [Online]. Retrieved on August 4, 2012 from http://michaeljmillerphd.com
- Moirao, Daniel R. Ed.D and Warrick, Pam L. Ph.D. (2010). Math Tools and Strategies for Differentiating Instruction and Increasing Student Engagement [Online]. Retrieved at July 21, 2012 from http://thoughtfulclassroom.com
- Moursund, David Dr. 2006. What is Mathematics?. [Online]. Retrieved at July 23, 2012 from http://darkwing.uoregon.edu
- Murata, A. et. al. 2012. Making Connections Among Student Learning, Content, and Teaching: Teacher Talk Paths in Elementary Mathematics Lesson Study. Journal for Research in Mathematics Education, November 2012, Volume 43, Issue 5, Page 615. [Online]. Retrieved on December 12, 2012 from http://www.nctm.org Online Teaching Activity Index. (2013).Drill and Practice. [Online].
- Retrieved on January 11, 2013 from http://www.ion.uillinois.edu Phelan,C. and Wren, J. (2006). Exploring R eliability in Academic Assessment. [Online]. Retrieved on December 20, 2012 from http://www.uni.edu Pierce, Rod. (2013). "Welcome to Mathematics". Math Is Fun. [Online].Retrieved 21 Feb 2013 from http://www.mathsisfun.com
- Preszler, J. 2006. On Target: Strategies That Differentiate Instruction Grades K-4. [Online]. Retrieved on August 31, 2012 from http://www.tie.net
- Riley, J. (2003). The Use Of Traditional And Contemporary Instructional. The Journal of Mathematics and Science: Collaborative Explorations, 6, 179 -189. [Online]. Retrieved on December 12, 2012 from http://www.math.vcu.edu
- Rogan, J.M., Nagao, M., and Magno, M.C. (2007). Mathematics and Science Education in Developing Countries: A historical overview in mathematics and science education in developing countries: Issues, experiences and cooperative prospects. Quezon City. University of the Philippines Press.
- Roh, Kyeong Ha. 2003. Problem-Based Learning. ERIC Clearinghouse for Science Mathematics and Environmental Education. [Online]. Retrieved on September 1, 2012 from http://www.ericdigests.org
- Schwerdt, G. and Wuppermann, A.C. 2010. Is traditional teaching really all that bad? A within-student between-subject approach. Program on Education Policy and Governance Working Papers Series. [Online]. Retrieved on December 29, 2012 from http://www.hks.harvard.edu
- Sevilla, Jr. Jesus E. and Tan, Kathryn M. (n.d.). Identifying Patterns of Skills Acquisition in Elementary Mathematics among a cohort group of Pupils: Implications to Teaching and Learning. [Online] Retrieved May 17, 2012, from http://www.iaea.info
- Smith, Mark K. 2001. David A. Kolb on Experiential Learning. [Online]. Retrieved at on July 26, 2012 from http://www.infed.org
- Smith, M.K. 2002. Jerome S. Bruner and the process of education, the encyclopedia of informal education. [Online]. Retrieved on July 13, 2011 from http://www.infed.org
- Sharma, R. 2011. Designing and Experimenting of English Instructional Material for Facilitating Constructivist Learning. Retrieved on December 12, 2012 from http://eric.ed.gov/
- Steedly, K., et. al. 2008. Effective Mathematics Instruction. (L. K. Rebhorn, Ed.) NICHCY’s Evidence for Education, 3(1), 1-12. Retrieved January 12, 2013 , from http://nichcy.org
- Tabligan, W.M.B. 2012. Effects of Differentiated Instruction on the Reading Comprehension of Grade 4 Students of Philippine School Doha. Unpublished Master’s Thesis. University of Negros Occidental-Recoletos
- Technology Research Methods, ISBN 978-1-60692-767-0, pp. 31-57, Nova Publisher. [Online]. Retrieved on December 26, 2012 from http://mmi.tudelft.nl
- Thanasoulas, Dimitrios. 2002. Constructivist Learning. [Online]. Retrieved on July 19, 2012 from http://www3.telus.net
- Thaxton, Cirrela. 2011. Two Pioneers of Differentiated Instruction: Vygotsky and Gardner. [Online]. Retrieved on July 13, 2012 from http://suite101.com
- The National Council of Teachers of Mathematics. 2007. Effective Strategies for Teaching Students with Difficulties in Mathematics. [Online]. Retrieved on January 4, 2013 from www.nctm.org.
- Theories of Learning in Educational Psychology. 2012. Jerome Bruner: Constructivism and Discovery Learning. [Online]. Retrieved on July 21, 2012 from http://www.lifecircles-inc.com
- Theroux, Priscilla. 2011. Differentiating Instruction. [Online]. Retrieved on May 22, 2012 from http://members.shaw.ca
- Tillman, M. (2003). Differentiated Instruction. [Online]. Retrieved on June 14, 2012 from http://www.3villagecsd.k12.ny.us
- Tomlinson, C.A. (1999). The Differentiated Classroom: Responding to the needs of All Learners. Alexandria, VA: Association for Supervision and Curriculum Development.
- Tomlinson, Carol A. (2001). Differentiate Instruction in Mixed-Ability Classrooms. 2nd ed. Upper Saddle River, NJ: Merrill Prentice Hall.
- Tomlinson, C. A. (2000). Differentiation of Instruction in the Elementary Grades."ERIC Digest. ERIC Clearinghouse on Elementary and Early Childhood Education. August, 2000. [Online]. Retrieved on May 21, 2012 from http://ceep.crc.uiuc.edu and http://tammy-andrew.suite101.com
- Tomlinson, Carol Ann and Imbeau, Marcia B. (2010). Leading and Managing A Differentiated Classroom. [Online]Retrieved on July 16, 2012from http://www.ascd.org
- Tucker, S. (2007). Using Remark Statistics for Test Reliability and Item Analysis.Online. Retrieved on July 27, 2012 from http://www.umaryland.edu Vernadakis, N., Gioftsidou, A., Antoniou, P., Ioannidis, D., & Giannousi, M.(2012). Impact of Nintendo Wii to Physical Education Students' Balance Compared to the Traditional Approaches. Computers & Education, 59, 196-205. Retrieved from http://eric.ed.gov
- Wendt, S.L. (2012). The effects of Differentiated Instruction Support Inclusion Services on fifth grade reading/language arts achievement. ETD Collection for Tennessee State University. Paper AAI3508212. Retrieved on December 31, 2012 from http://digitalscholarship.tnstate.edu
- Willis, S., & Mann, L. (2000). Differentiating instruction: Finding manageable ways to meet individual needs. Curriculum Update. Alexandria, VA: Association for Supervision and Curriculum Development. Retrieved January 18, 2007, from http://www.ascd.org
- Wilson, F. R, Pan, W., and Schumsky, D.A. (2012). Recalculation of the Critical Values for Lawshe's Content Validity Ratio. Measurement and Evaluation in Counseling and Development Volume: 45 Issue: 3 Pages: 197-210 DOI: 10.1177/0748175612440286 Published: JUL 2012. [Online] Retrieved on December 25, 2012 from http://mec.sagepub.com/
- Why Is Math the Only True Universal Language. (2008). [Online]. Retrieved on June 21, 2012 from http://www.mathworksheetscenter.com
- Xiuping, Z. (2002, October). The Combination of Traditional Teaching Method and Problem Based. The China Papers, 1. Retrieved on December 24, 2012 from http://sydney.edu.au
- Zakaria, E., Chin, L., and Daud, Y. Md. (2010). The Effects of Cooperative Learning on Students’ Mathematics Journal of Social Sciences, 6(1), 272-275. Retrieved January 4, 2013, from thescipub.com
- Zwaagstra, M. C. (2011). Traditional Teaching Methods Supported by Research. [Online]. Retrieved on December 12, 2012 from The Frontier Centre For Public Policy Website: http://www.fcpp.org