Definitions of modeling provided before the workshop by the PREP 2012 participants.
Modeling is the distillation of a complex phenomenon into fundamental and quantifiable pieces that allow us to make predictions.
Modeling is the best attempt to explain a process.
Representing or characterizing reality for some predictive purpose.
Modeling is physical phenomena (including chemistry, biology, etc.) expressed and analyzed through mathematics.
Using mathematics to combine what we have observed with what we are interested in finding out to give us information about how the world works.
Collecting, interpreting, and presenting data in a visual, concrete form using patterns (equations) that repeat in many instances.
Applying mathematics to solve an interesting or practical problem.
Identifying (or guessing) key factors in a real-world situation and coming up with a systematic way to make predictions based on those.
Using mathematics to describe phenomena (a situation) and to make predictions.
Using real-life problems to teach/demonstrate/conceptualize topics and ideas in calculus and mathematics. Bringing the real-world into the classroom.
Modeling is the process of finding a good mathematical explanation or representation for some observed phenomenon.
Modeling is the process of constructing, testing, and applying mathematical descriptions to physical and conceptual systems, with the intent of description and/or prediction.
All models are wrong, but some are useful. How do we teach students to think in terms of models?
Modeling is using mathematics to match the past and predict the future.
Modeling is a mathematical framework for predicting outcomes of real-world problems.
Modeling is using mathematical theory to interpret phenomena of science and engineering.
Modeling is converting a real-world problem into a math problem.
Modeling is the process of creating a mathematical construct to solve a real-world problem.
Modeling is representing reality in a simple enough way to learn something useful.
Calculus = approximation and limits to get accurate answers.
Modeling using small amounts of change.
Calculus – the study of change and the summation of infinite quantities and their application.
Calculus is the study of how fast changing quantities change and/or accumulate.
Calculus is the study of change.
Calculus: study of change.