Resources: All

Find a resource
  1. mathematica x
  1. 3-008-T-HangTime

    31 May 2015 | Modeling Scenarios

    We present a modeling opportunity for students in which they  model the vertical position of a basketball player taking a jump shot.  The goal of the scenario is to get students to consider the meaning of the notion "hang time.''We include a Mathematica and a Maple...

  2. 1-006-T-FinancingSavingsAndLoans

    31 May 2015 | Modeling Scenarios

    We describe two situations (Pa) one in which we are saving for a purpose and (2) one in which we are borrowing for a purpose.  In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of the model be used to examine some...

  3. Teaching Modeling with Partial Differential Equations: Several Successful Approaches

    31 May 2015 | Articles and Publications

    We discuss the introduction and teaching of partial differential equations (heat and wave equations)  via modeling physical phenomena, using a new approach that encompasses constructing difference equations and implementing these in a  spreadsheet,  numerically solving the partial...

  4. 1-005B-T-ChemDataCollection

    30 May 2015 | Modeling Scenarios

    We present a situation in which a chemistry graduate student is assigned the  task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

  5. 1-005A-T-ChemDataCollection

    30 May 2015 | Modeling Scenarios

    We present a situation in which a chemistry graduate student is assigned the  task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of...

  6. 1-005-T-OilSlick

    30 May 2015 | Modeling Scenarios

    We describe a modeling activity for students in  which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

  7. 1-004-T-MicroorganismImmigration

    30 May 2015 | Modeling Scenarios

    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

  8. 1-001-T-MandMDeathAndImmigration

    30 May 2015 | Modeling Scenarios

    We describe a classroom activity in which students use M&M candies to simulate death and immigration. Students build a mathematical model, usually a linear first order, difference or differential equation, collect data, estimate parameters, and compare their model prediction with their...

  9. 3-019-T-ShuttlecockFall

    30 May 2015 | Modeling Scenarios

    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and...

  10. 3-016-T-FallingCoffeeFilters

    30 May 2015 | Modeling Scenarios

    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

  11. 3-013-T-WhiffleBallFall

    30 May 2015 | Modeling Scenarios

    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models. Finally, we introduce a new way of comparing models,  the Akaike Information Criterion, and apply it to our...

  12. 3-020-T-Chord PathTime

    30 May 2015 | Modeling Scenarios

    Using Newton's Second Law of motion students can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle.  They come to a nonintuitive conclusion through their analysis, but upon reflection the conclusion does make...

  13. 1-003-T-CollegeSavings

    12 May 2015 | Modeling Scenarios

    We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

  14. 1-002-T-Tossing

    11 May 2015 | Modeling Scenarios

    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...