Questions tagged [problem-design]
For questions how to design and create questions, exercises and examples.
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Reading popular books in undergraduate math classes: Techniques, assignments, methods?
When I was a senior in high school taking calculus, my teacher assigned us the book Zero: Biography of a dangerous Idea by Charles Seife. I found it inspiring to learn about the class in a historical ...
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When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign?
When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign? And, as a corollary question: How do you determine the level of success ...
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Whether to tell students how difficult (you think) a problem is
Background: Most textbooks end a section with a set of questions ranked either by topic or by difficulty. A distinction is often made between "exercises", which are for directly practicing a ...
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What to do with "wild goose chase" or "quantum leap"-types of incorrect solutions when you ask students to prove/show something?
So in an advanced mathematics course for engineers, there are often problems of the type:
Prove claim A.
Given equation A, show that you can obtain equation Z.
I am frequently faced with a problem ...
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references and examples of questions that shows what mathematics is not
there is a large literature about what Mathematics is. but what about what mathematics is not.
for instance the question displayed in the following image is, for me an example of what mathematics is ...
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Calculus problems arising from real research problems
I am visiting my in-laws for the holidays. My sister in law is a statistician. She asked me to take a stab at a calculus problem which was coming up in her research. The Lambert $W_0$ function is ...
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How can you elicit the $\log x = {\log} \cdot x$ error?
You know the error, when you're watching a student work through an algebraic calculation to solve for a variable trapped in the argument of a function, usually $\log$ or a trig function, and you watch ...
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Good exercises that force you to apply the definition of the derivative, without explicitly telling you to do so?
I'd like to ask my students whether some real function is differentiable at a certain $x_0$. I prefer not telling them that they have to use the definition of the derivative, but to instead present a ...
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How to Effectively Implement a "Notice and Wonder" Activity?
I am a first-year Pre-Calculus teacher at a public high school in the United States. The curriculum I am using often contains "Notice and Wonder" activities whenever a new concept is about ...
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Setting up a new Ximera course with randomized values in problems
I'm working on converting a course to make it free to the students, and I'm considering using Ximera. What I haven't found online is documentation for/information on tips and best practices for ...
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Problems Without Posting Available Solutions
Is there evidence in the education literature to support or refute the claim that students who are given problems without solutions to work out on their own do better on different problems in the ...
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The art of designing of problem sets
For proof-based math courses, the gist of the learning happens in problem sets and so it is essential to design them well. We would appreciate responses containing references (eg. from active learning)...
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Where to find good exercises for term operations?
I'm searching for exercises for practising operations with terms. They should involve
working with decimal numbers and fractions (ideally one should convert decimal numbers to simple fractions like ...
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Using tensegrity structure to teach high school math?
I am exploring ideas to design a secondary-level-project-based-10-lessons-unit-learning-plan which can end with a creation from the students involving a tensegrity structure.
such as
or
My general ...
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Project Based Learning or Applied Math involving modular arithmetics?
I am searching for ideas to construct Project Based Learning type that involves Modular arithmetics with eventually geometry and could fit in High School level
What could a nice research question ...
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