Difference between revisions of "SubjectAreaTemplates"
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=== Differential Calculus === |
=== Differential Calculus === |
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− | * [[DifferenceQuotient1|Answer is a difference quotient.]] Students are required to simplify their difference quotient. (Uses parserDifferenceQuotient.pl) |
+ | * [[DifferenceQuotient1|Answer is a difference quotient.]] Students are required to simplify their difference quotient. <font color=gray>(Uses parserDifferenceQuotient.pl)</font> |
=== Integral Calculus === |
=== Integral Calculus === |
Revision as of 15:31, 1 December 2010
Contents
Problem Authoring Templates by Subject Area
This page has complete examples of problem techniques organized by subject area. Within each subject, we give an explicit and brief description of the essential characteristics of each type of question. To keep overlap to a minimum, we try to give an example of each problem technique exactly once, which means you may need to look for a particular problem technique under other subject headings until you find it. We try to give a fairly complete list of techniques, rather than a complete list of types of questions that one might ask in each subject. All of these questions exist in NationalProblemLibrary/FortLewis/Authoring/Templates/
A detailed list of code snippets for specific problem techniques has it's own category: index of problem techniques.
Miscellaneous
- Answer is a formula.
- Multiple choice question 1 (radio buttons). Only one correct answer, all choices shown.
- Multiple choice question 2 (popup menu). Only one correct answer, choices are hidden.
- Multiple choice question 3 (checkboxes). Possibly more than one correct answer, all choices shown.
- Matching question (popup menu).
- A list of many multiple choice questions (popup menu).
- Compound question.
Algebra
- Answer is a fraction (rational number). This question requires students to simplify their answer. (Uses contextFraction.pl)
- Answer is an algebraic fraction. A rational function that must be simplified. (Uses MultiAnswer.pl)
- Answer is a an equation that defines a function. A linear equation or a quadratic function. (Uses parserAssignment.pl)
- Answer is a fully expanded and simplified polynomial. Multiplying two linear terms together and collecting like terms. (Uses contextLimitedPolynomial.pl)
- Answer is a factored polynomial. Standard factoring question. (Uses contextPolynomialFactors.pl and contextLimitedPowers.pl)
Trigonometry
- Answers that are periodic. The student answer is evaluated modulo the period.
- Trig functions in degrees. Trig functions are redefined to be in degrees.
- Trig identities 1. Cleverly redefining functions so that students must apply trig identities.
- Trig identities 2. A multi-part question that walks students through proving a trig identity.
Precalculus
- Function decomposition. Write a given function as a composition of two non-identity functions. (Uses answerComposition.pl)
Differential Calculus
- Answer is a difference quotient. Students are required to simplify their difference quotient. (Uses parserDifferenceQuotient.pl)
Integral Calculus
- Integral of 1/x and domain issues.
- Sequences and recursively defined functions. We add a named function (dummy function) to the context for a recursively defined function. (Uses parserFunction.pl)