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Questions tagged [course-design]

For questions about creating a new course or altering the format of an existing course.

3 votes
2 answers
130 views

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 ...
Opal E's user avatar
  • 4,089
4 votes
1 answer
137 views

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 ...
SRobertJames's user avatar
2 votes
0 answers
106 views

Is there national grade distribution data for introductory service courses?

I am looking for US average national or state grade distribution data for courses that are typically considered as math service courses: precalculus, calculus 1,2,3, linear algebra, differential ...
Maesumi's user avatar
  • 1,410
4 votes
0 answers
70 views

OER text for the mathematics of fair division

I'd like to design a course with a unit on fair division, and I'm looking for an OER text to use. The course will be a general education seminar, so students won't be expected to have any mathematical ...
Jared's user avatar
  • 2,223
11 votes
5 answers
2k views

Textbook For a Course on Classical Geometry

I have been assigned to teach a first year course in geometry the next academic year. This course has been running for quite a while in the university, but of late, has been thought of as redundant ...
Aravind Gundakaram's user avatar
10 votes
0 answers
201 views

Examples for advanced math courses based on measurable learning objectives

Background. I teach math at a German university (both undergraduate courses and courses for Master programmes), mostly for students who major in mathematics or very similar programmes. Students ...
Jochen Glueck's user avatar
7 votes
7 answers
1k views

Special topics for introductory probability

I am helping to design a low-level college course whose purpose is to teach critical thinking, logic, finance and probability. I have been tasked with developing the probability section. I am ...
dt688's user avatar
  • 173
6 votes
4 answers
667 views

What mathematical topics are important for succeeding in an undergrad PDE course?

I am a student helping to develop a remedial course for other students who have recently failed the undergraduate PDE course at our university. The topics are provided from the syllabus in the ...
brodybjones's user avatar
5 votes
1 answer
304 views

Which books on geometry and topology are best for teaching an intro graduate course?

I'm teaching a graduate (Master's) introduction to geometry and topology (e.g. some basics on manifolds, vector bundles, algebraic topology). What textbooks have you found are best for teaching a ...
David Corwin's user avatar
4 votes
1 answer
566 views

AP Calculus BC Guidance

Hello wonderful educators. I am hoping to get some help on a tough situation I am in. So first, a little bit of background facts: This is my first time teaching an AP class. I've adjuncted for Calc I ...
ruferd's user avatar
  • 2,099
-4 votes
1 answer
127 views

Help me to prepare for my first job interview presentation

My First Job Interview presentation topic for a permanent assistant lecturer position in Mathematics and Data science is below: ''You have been asked by your Head of Department to design an elective ...
Myshkin's user avatar
  • 93
7 votes
1 answer
193 views

Standards based grading design principles

I have taught some SBG courses in the past, and I am planning on converting all of my courses to SBG. I have enjoyed teaching these courses, I believe that students have learned more, and students ...
Steven Gubkin's user avatar
4 votes
2 answers
152 views

Textbooks with solutions and catering to different circumstances

Questions: Are we really taking students into account FULLY when writing textbooks for various areas? Also, are we being unintentionally elitist or dismissive when neglecting to take a more humble ...
EddieMath's user avatar
7 votes
3 answers
380 views

Rings in parallel with groups in abstract algebra

In a previous question, I asked about the pros and cons of teaching rings before groups in abstract algebra. Recently, it has come to my attention that there is a third approach - a unified approach - ...
J W's user avatar
  • 5,033
8 votes
7 answers
2k views

Advice on teaching abstract algebra and logic to high-school students

NOTE: This question will soon be duplicated, as I didn't make clear that I was a high school sophmore in the beginning. At first I thought it didn't matter, and somewhat arrogant to mention, but in ...
John Clever's user avatar

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