Book contents
- Frontmatter
- Contents
- I An Introduction to Teaching Mathematics with Classroom Voting
- II Studies of Classroom Voting in Mathematics
- III Classroom Voting in Specific Mathematics Classes
- 6 Questions to Engage Students in Discussion (Q.E.D): Using Clickers in a Mathematics for Liberal Arts Course
- 7 Clickers in Introductory Statistics Courses
- 8 Using Clickers in a Statistics Classroom
- 9 Engaging Statistics Students with Classroom Response Systems
- 10 Incorporating Clicker Technology in the Introductory Statistics Course
- 11 Using Clickers in Courses for Future K–8 Teachers
- 12 Using Clickers in Professional DevelopmentWorkshops
- 13 Using ConcepTests in College Algebra
- 14 An Example of Multi-Purpose Use of Clickers in College Algebra
- 15 ConcepTests—Classroom Voting: A Catalyst for an Interactive College Algebra ClassroomD
- 16 Using Clickers to Encourage Communication and Self-Reflection in Precalculus
- 17 Writing and Adapting Classroom Voting Questions: New Functions from Old
- 18 Enhancing Student Participation and Attitudes in a Large-Lecture Calculus Course
- 19 Good Questions for Mathematics Eduction: An Example from Multivariable Calculus
- 20 Integrating Classroom Voting Into Your Lectures: Some Thoughts and Examples from a Differential Equations Course
- 21 Classroom Voting Questions that Provoke Teachable Moments in Differential Equations
- 22 Teaching Linear Algebra with Classroom Voting: A Class Period on Linear Independence
- 23 Lesson Planning with Classroom Voting: An Example from Linear Algebra
- 24 Using Clickers to Enhance Learning in Upper-Level Mathematics Courses
- Bibliography
- About the Editors
22 - Teaching Linear Algebra with Classroom Voting: A Class Period on Linear Independence
from III - Classroom Voting in Specific Mathematics Classes
- Frontmatter
- Contents
- I An Introduction to Teaching Mathematics with Classroom Voting
- II Studies of Classroom Voting in Mathematics
- III Classroom Voting in Specific Mathematics Classes
- 6 Questions to Engage Students in Discussion (Q.E.D): Using Clickers in a Mathematics for Liberal Arts Course
- 7 Clickers in Introductory Statistics Courses
- 8 Using Clickers in a Statistics Classroom
- 9 Engaging Statistics Students with Classroom Response Systems
- 10 Incorporating Clicker Technology in the Introductory Statistics Course
- 11 Using Clickers in Courses for Future K–8 Teachers
- 12 Using Clickers in Professional DevelopmentWorkshops
- 13 Using ConcepTests in College Algebra
- 14 An Example of Multi-Purpose Use of Clickers in College Algebra
- 15 ConcepTests—Classroom Voting: A Catalyst for an Interactive College Algebra ClassroomD
- 16 Using Clickers to Encourage Communication and Self-Reflection in Precalculus
- 17 Writing and Adapting Classroom Voting Questions: New Functions from Old
- 18 Enhancing Student Participation and Attitudes in a Large-Lecture Calculus Course
- 19 Good Questions for Mathematics Eduction: An Example from Multivariable Calculus
- 20 Integrating Classroom Voting Into Your Lectures: Some Thoughts and Examples from a Differential Equations Course
- 21 Classroom Voting Questions that Provoke Teachable Moments in Differential Equations
- 22 Teaching Linear Algebra with Classroom Voting: A Class Period on Linear Independence
- 23 Lesson Planning with Classroom Voting: An Example from Linear Algebra
- 24 Using Clickers to Enhance Learning in Upper-Level Mathematics Courses
- Bibliography
- About the Editors
Summary
Over the past few years, Holly Zullo, Mark Parker and I have been working on the NSF funded Project MathQUEST (DUE-0536077) to develop and test a library of over 300 classroom voting questions for linear algebra. We have found that this teaching technique fits well with the course material. We were consistently impressed with the power of this teaching method to engage students and create a more active learning environment, while at the same time students reported that voting made mathematics class more enjoyable. Good classroom voting questions can bring up the important concepts, so that students engage in this material during class time, and leave class well prepared to work through the homework exercises.
To develop this collection of questions, we began by dividing up the topics for the course among the three of us. One person would consider a particular topic, thinking about key ideas, common misconceptions, and the sorts of leading questions that we could ask in order to help the students discover the fundamental concepts. Then we would meet together and the other two people would work through the questions before reading the teacher's commentary that accompanies each question.We would then discuss each question individually, make revisions, and propose new questions in order to adequately cover the topic. Our collection currently contains 16 classroom voting questions on the topic of linear independence and is available at:
In order to show how linear algebra can be taught with classroom voting, I discuss a 50-minute class period, from spring semester 2008, in which I taught the topic of linear independence using a lesson that integrated three of these classroom voting questions.
- Type
- Chapter
- Information
- Teaching Mathematics with Classroom VotingWith and Without Clickers, pp. 149 - 152Publisher: Mathematical Association of AmericaPrint publication year: 2011