Using Technology-Assisted Instruction and Assessment to Reduce the Effect of Class Size on Student Outcomes in Undergraduate Mathematics Courses

The implementation of online texts, videos, homework, and tests has changed the process of instruction in introductory college mathematics courses. With this change, more of the students’ learning takes place outside of the traditional college classroom and in places such as tutoring centers and dorm rooms. A combination of chi-square tests—for independence with unordered categorical data—and Mann-Whitney two-sample rank-sum tests—for continuous data and ordered categorical data—were used to analyze student outcomes generated from College Algebra and Applied Calculus courses with class sizes ranging from 37 to 129, with common syllabi, homework, quizzes, and tests. These tests showed that medium classes (30–55 students) had little to no benefit over large classes (110–130 students) in student learning and student achievement, with large classes having small to medium positive-effect sizes over medium classes in the area of student satisfaction. The only area in which the small classes had a small positive effect was in the area of student engagement.

[1]  C. Twigg.  The Math Emporium: A Silver Bullet for Higher Education , 2011 .

[2]  Ernest T. Pascarella,et al.  How College Affects Students: A Third Decade of Research. Volume 2. , 2005 .

[3]  Robert Rosenthal,et al.  Effect Sizes Why, When, and How to Use Them , 2009 .

[4]  Gene V. Glass,et al.  School Class Size: Research and Policy , 1982 .

[5]  E. Kokkelenberg,et al.  The Effects of Class Size on Student Grades at a Public University , 2008 .

[6]  Jacob Cohen,et al.  A power primer. , 1992, Psychological bulletin.

[7]  C. Twigg.  Improving Quality and Reducing Cost: Designs for Effective Learning , 2003 .

[8]  Joseph B. Cuseo.  The Empirical Case against Large Class Size: Adverse Effects on the Teaching, Learning, and Retention of First-Year Students. , 2007 .

[9]  R. Lindsay,et al.  Resource changes and academic performance at an English polytechnic , 1987 .

[10]  Kenneth A. Feldman,et al.  Class size and college students' evaluations of teachers and courses: A closer look , 1984 .

[11]  Ernest T. Pascarella,et al.  How college affects students , 1991 .

[12]  Jennifer Franklin.  Grade Inflation and Student Ratings: A Closer Look. , 1991 .

[13]  Stergios B. Fotopoulos,et al.  Introduction to Modern Nonparametric Statistics , 2004, Technometrics.

[14]  B. Millis.  Making the Most of College: Students Speak Their Minds , 2002 .

[15]  Peter Kuhn,et al.  Making Nutritional Information Digestible : Effects of a Receipt-Based Intervention on Fast Food Purchases , 2013 .

[16]  W. Greenberg,et al.  New Pedagogical Models for Instruction in Mathematics , 2008 .

[17]  John C. Hayek,et al.  What Matters to Student Success: A Review of the Literature , 2006 .

[18]  Carol A. Twigg,et al.  The Math Emporium: Higher Education's Silver Bullet. , 2011 .

[19]  Gene V. Glass,et al.  Meta-Analysis of Research on Class Size and Achievement , 1979 .

[20]  Mary Lee Smith,et al.  Meta-Analysis of Research on the Relationship of Class-Size and Achievement. The Class Size and Instruction Project. , 1978 .

[21]  David D. Williams,et al.  University class size: Is smaller better? , 1985 .