Project Math QUEST:

Math QUestions to Engage STudents

Resources for Clickers and Classroom Voting in Collegiate Mathematics

PI: Holly Zullo co-PIs:Mark Parker and Kelly Cline

Project Math QUEST is a three year project (2006-2009) to write and test classroom voting questions (also known as ConcepTests for Peer Instruction or "Clicker Questions") for use in differential equations and linear algebra courses. This project is being run here at Carroll College's, Department of Mathematics, Engineering, and Computer Science and is funded by a $100,000 grant from the National Science Foundation (DUE-0536077).

These questions have been used here at Carroll College, starting in spring 2007. Project MathQUEST also involves studying the effectiveness of these questions. We are currently looking for collaborators at other institutions who would be willing to test out some of these questions, and we anticipate preparing a paper analyzing these effects within the near future. If you are interested in class-testing these materials please contact us: kcline@carroll.edu

• Links and Resources for Classroom Voting and Clickers in Mathematics: Published papers, web sites, and other links that may be helpful if you want to use classroom voting in mathematics.

• Frequently Asked Questions

• Math QUEST: Project Summary

• Question Library: Differential Equations (Updated 5/07). Please e-mail us if you intend to use any of these questions! We will send you a teacher's edition and we would really like your feedback!
  • What is a Differential Equation?, Sample Teacher's Edition
  • Slope Fields and Euler's Method
  • Separation of Variables
  • Exponential Solutions, Growth and Decay
  • Equlibria and Stability Sample Teacher's Edition
  • First Order Linear Models
  • Logistic Models
  • Nonhomogeneous Differential Equations & Undetermined Coefficients
  • Second Order Differential Equations: Oscillations
  • Mixing Models
  • Existence & Uniqueness
  • Bifurcations Sample Teacher's Edition
  • Linear Operators
  • Second Order Differential Equations: Damping
  • Linear Combinations and Independence of Functions
  • Second Order Differential Equations: Forcing Sample Teacher's Edition
  • Beats and Resonance
  • 2nd Order Differential Equations as Systems
  • Phase Portraits and Vector Fields
  • Testing Solutions to Linear Systems
  • Euler's Method and Systems of Equations
  • Modeling with Systems Sample Teacher's Edition
  • Solutions to Linear Systems
  • Geometry of Systems
  • Introduction to Partial Differential Equations
  • Integrating Factors
  • Power Series Solutions
  • Laplace Transforms
• Question Library: Linear Algebra (Updated 6/07). Please e-mail us if you intend to use any of these questions! We will send you a teacher's edition and we would really like your feedback!
  • Systems of Equations, Sample Teacher's Edition
  • Matrix Representations of Systems of Equations
  • Gaussian Elimination Sample Teacher's Edition
  • Solution Sets of Linear Systems
  • Linear Combinations
  • Linear Independence
  • Rank of a Matrix
  • Matrix Operations Sample Teacher's Edition
  • Matrix Inverses Sample Teacher's Edition
  • Determinants
  • Eigenvalues and Eigenvectors Sample Teacher's Edition
  • Eigenspaces
  • Complex Eigenvalues
  • Diagonalization
  • Vector Spaces and Subspaces
  • Fundamental Vector Subspaces
  • Linearly Independent Sets
  • Spanning Sets, Bases, and Dimension
  • Linear Transformations and Projections
  • Dot Products
  • Orthogonal Sets
  • Orthogonal Projections
  • Gram-Schmidt Orthogonalization
  • Symmetric Matrices
  • Markov Chains
  • Affine and Convex Combinations
• Question Library: Series. Please e-mail us if you intend to use any of these questions! We will send you a teacher's edition and we would really like your feedback!
  • Geometric Series Sample Teacher's Edition
  • Convergence Tests Sample Teacher's Edition
  • Power Series Sample Teacher's Edition
  • Taylor Series Sample Teacher's Edition
• Question Library: Discrete Dynamical Systems (Updated 5/07): Sequences and Difference Equations. e-mail us for the teacher's edition.
• Question Library: Multivariable Calculus, containing questions from Mark Schlatter, ConcepTests to Accompany Calculus, by Hughes-Hallett et al, and others we have written ourselves. e-mail us for a teacher's edition.
• Question Library: Calculus I and II (in MS Word), containing questions from the Cornell GoodQuestions Project, ConcepTests to Accompany Calculus, by Hughes-Hallett et al, and others we have written ourselves. e-mail us for a teacher's edition.

  Differential Calculus:

  • How do we measure speed?
  • The Derivative at a Point
  • The Derivative Function
  • Interpretations of the Derivative
  • The Second Derivative
  • Differentiability
  • Powers and Polynomials
  • The Exponential Function
  • The Product and Quotient Rules
  • The Chain Rule
  • The Trigonometric Functions
  • The Chain Rule and Inverse Functions
  • Linear Approximation and the Derivative
  • Theorems about Differentiable Functions
  • Using First and Second Derivatives
  • Families of Curves
  • Optimization
  • Rates and Related Rates

  Integral Calculus:

  • How do we measure distance traveled?
  • The Definite Integral
  • The Fundamental Theorem and Interpretations
  • Theorems About Definite Integrals
  • Antiderivatives Graphically and Numerically
  • Constructing Antiderivatives Analytically
  • Differential Equations
  • Second Fundamental Theorem of Calculus
  • Integration by Substitution
  • Integration by Parts
  • Improper Integrals
  • Applications to Geometry
  • Applications to Physics

• Question Library: Precalculus, containing questions from ConcepTests to Accompany Calculus, by Hughes-Hallett et al, and others we have written ourselves. e-mail us for a teacher's edition.
  • Functions and Change
  • Exponential Functions
  • New Functions From Old
  • Logarithmic Functions
  • Trigonometric Functions
  • Powers, Polynomials, and Rational Functions
  • Introduction to Continuity
  • Limits

This material is based upon work supported by the National Science Foundation under Grant No. 0536077. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

The Carroll College Department of Mathematics, Engineering, and Computer Science