A comparison of flipped learning with gamification, traditional learning, and online independent study: the effects on students’ mathematics achievement and cognitive engagement

ABSTRACT This study examines Grade 9 students’ mathematics achievement and cognitive engagement under three different instructional approaches: traditional learning, flipped learning with gamification, and online independent study with gamification. The duration of the study lasted an entire school year. The central theories underpinning flipped learning with gamification design were based on the first principles of Instruction and self-determination theory. A mixed methods approach was used with quantitative (i.e., tests and an optional assignment) and qualitative (i.e., student interviews) methods applied. The test results indicate that students in the flipped class (n =  28) significantly outperformed those in the traditional (n =  27) and online independent study (n =  21) classes. In addition, flipped learning with gamification promoted students’ cognitive engagement better than the other two approaches. The findings of student interviews suggest that peer interactions inside the flipped classroom were critical to promoting students’ mathematics achievement and cognitive engagement, as opposed to online learning resources and gamification per se. In future practice, teachers can ground their flipped classroom design in the theoretical framework proposed in this study.

[1]  Martha M. Snyder,et al.  Developing conceptual understanding in a statistics course: Merrill’s First Principles and real data at work , 2017 .

[2]  Joshua DeSantis,et al.  Do Students Learn More From a Flip? An Exploration of the Efficacy of Flipped and Traditional Lessons , 2015 .

[3]  Harry B. Santoso,et al.  Development of gamification-enriched pedagogical agent for e-Learning system based on community of inquiry , 2015 .

[4]  G SampsonDemetrios,et al.  Investigating the impact of Flipped Classroom on students' learning experiences , 2018 .

[5]  Philip J. Guo,et al.  How video production affects student engagement: an empirical study of MOOC videos , 2014, L@S.

[6]  Khe Foon Hew,et al.  Investigating the effects of gamification-enhanced flipped learning on undergraduate students’ behavioral and cognitive engagement , 2018, Interact. Learn. Environ..

[7]  Tiffany A. Koszalka,et al.  Course-level implementation of First Principles, goal orientations, and cognitive engagement: a multilevel mediation model , 2016 .

[8]  Eulho Jung,et al.  An Investigation into Effective Pedagogies in a Flipped Classroom: A Case Study , 2016 .

[9]  Kevin R. Clark The Effects of the Flipped Model of Instruction on Student Engagement and Performance in the Secondary Mathematics Classroom. , 2015 .

[10]  Jenna Van Sickle Adventures in Flipping College Algebra , 2015 .

[11]  Andy Field,et al.  Discovering statistics using SPSS, 2nd ed. , 2005 .

[12]  Baki Cavlazoglu,et al.  Flipping a College Calculus Course: A Case Study , 2015, J. Educ. Technol. Soc..

[13]  Christopher P. Niemiec,et al.  Autonomy, competence, and relatedness in the classroom , 2009 .

[14]  E. Deci,et al.  Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. , 2000, The American psychologist.

[15]  L. Abeysekera,et al.  Motivation and cognitive load in the flipped classroom: definition, rationale and a call for research , 2015 .

[16]  R. B. Johnson Examining the Validity Structure of Qualitative Research , 1997 .

[17]  Anderson L. Palinussa,et al.  Students' Critical Mathematical Thinking Skills and Character:Experiments for Junior High School Students Through Realistic Mathematics Education Culture-Based , 2013 .

[18]  John W. Creswell,et al.  Designing and Conducting Mixed Methods Research , 2006 .

[19]  Chun-Yen Chang,et al.  The Impact of the Flipped Classroom on Mathematics Concept Learning in High School , 2016, J. Educ. Technol. Soc..

[20]  Rebecca Kirvan,et al.  Flipping an Algebra Classroom: Analyzing, Modeling, and Solving Systems of Linear Equations , 2015 .

[21]  N. Dwijendra,et al.  Vertical Housing Development, on Control Regional Bali Regulation of Building Height , 2020 .

[22]  J. Connell,et al.  Competence, autonomy, and relatedness: A motivational analysis of self-system processes. , 1991 .

[23]  D. Dicheva,et al.  Gamifying education: what is known, what is believed and what remains uncertain: a critical review , 2017, International Journal of Educational Technology in Higher Education.

[24]  Adult Students' Experiences of a Flipped Mathematics Classroom. , 2015 .

[25]  HewKhe Foon,et al.  Engaging Asian students through game mechanics , 2016 .

[26]  Embry-Riddle Aeronautical,et al.  The Flipped Classroom: A Survey of the Research , 2013 .

[27]  Khe Foon Hew,et al.  Comparing Digital Badges-and-Points with Classroom Token Systems: Effects on Elementary School ESL Students' Classroom Behavior and English Learning , 2018, J. Educ. Technol. Soc..

[28]  Khe Foon Hew,et al.  Toward a set of design principles for mathematics flipped classrooms: A synthesis of research in mathematics education , 2017 .

[29]  Fiona Fui-Hoon Nah,et al.  Gamification of Education: A Review of Literature , 2014, HCI.

[30]  Joseph Petrillo,et al.  On flipping first-semester calculus: a case study , 2016 .

[31]  M. David Merrill,et al.  First principles of instruction , 2012 .

[32]  Heinz Mandl,et al.  How gamification motivates: An experimental study of the effects of specific game design elements on psychological need satisfaction , 2017, Comput. Hum. Behav..

[33]  Shelly McCallum,et al.  An Examination of the Flipped Classroom Approach on College Student Academic Involvement. , 2015 .

[34]  Khe Foon Hew,et al.  Engaging Asian students through game mechanics: Findings from two experiment studies , 2016, Comput. Educ..

[35]  Khe Foon Hew,et al.  A critical review of flipped classroom challenges in K-12 education: possible solutions and recommendations for future research , 2017, Res. Pract. Technol. Enhanc. Learn..

[36]  Hua Cheng,et al.  A Case Study of Cooperative Learning in Mathematics: Middle School Course Design , 2011 .

[37]  Maiga Chang,et al.  Guest Editorial: "HOW" to Design, Implement and Evaluate the Flipped Classroom? , 2017, J. Educ. Technol. Soc..

[38]  Wes Maciejewski Flipping the calculus classroom: an evaluative study , 2015 .

[39]  Gwo-Jen Hwang,et al.  Facilitating and Bridging Out-Of-Class and In-Class Learning: An Interactive E-Book-Based Flipped Learning Approach for Math Courses , 2017, J. Educ. Technol. Soc..

[40]  Karen Skibba Book Review: Qualitative Research Design: An Interactive Approach (2nd ed.) , 2006 .

[41]  Jennifer A. Fredricks,et al.  School Engagement: Potential of the Concept, State of the Evidence , 2004 .

[42]  Linda E. Green,et al.  A comparison between flipped and lecture-based instruction in the calculus classroom , 2016 .

[43]  Gwo-Jen Hwang,et al.  A Learning Analytics Approach to Investigating Factors Affecting EFL Students' Oral Performance in a Flipped Classroom , 2018, J. Educ. Technol. Soc..

[44]  Andrew A. Tawfik,et al.  Using a Flipped Classroom Approach to Support Problem-Based Learning , 2015, Technology, Knowledge and Learning.

[45]  Lennart E. Nacke,et al.  From game design elements to gamefulness: defining "gamification" , 2011, MindTrek.

[46]  Demetrios G. Sampson,et al.  Investigating the impact of Flipped Classroom on students' learning experiences: A Self-Determination Theory approach , 2018, Comput. Hum. Behav..

[47]  Fred M. Newmann,et al.  Continuing the bifurcation of affect and cognition , 1996 .

[48]  Gwo-Jen Hwang,et al.  Research trends of flipped classroom studies for medical courses: a review of journal publications from 2008 to 2017 based on the technology-enhanced learning model , 2019, Interact. Learn. Environ..

[49]  Robert Talbert,et al.  Inverting the Transition-to-Proof Classroom , 2015 .

[50]  Albert T. Corbett,et al.  Why Students Engage in “Gaming the System” Behavior in Interactive Learning Environments , 2008 .

[51]  R. Clark Reconsidering Research on Learning from Media , 1983 .

[52]  Stefan Ritter,et al.  Inverted Classroom by Topic - A Study in Mathematics for Electrical Engineering Students , 2014, Int. J. Eng. Pedagog..

[53]  J. Maxwell,et al.  Qualitative Research Design , 2015 .

[54]  James Peirce,et al.  Math Bio or Biomath? Flipping the mathematical biology classroom , 2014 .

[55]  Khe Foon Hew,et al.  Using "First Principles of Instruction" to Design Secondary School Mathematics Flipped Classroom: The Findings of Two Exploratory Studies , 2017, J. Educ. Technol. Soc..

[56]  Nancy Lesko,et al.  Reducing the Risk: Schools as Communities of Support , 1989 .

[57]  Gwo‐Jen Hwang,et al.  Seamless flipped learning: a mobile technology-enhanced flipped classroom with effective learning strategies , 2015 .

[58]  Ellen Hoffman,et al.  Beyond the Flipped Classroom: Redesigning a Research Methods Course for e[superscript3] Instruction. , 2013 .