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8 votes
6 answers
4k views

Would you correct grading mistakes downwards if there is a mistake in grading?

In a recent exam, I give student a true or false question asking them to decide if a statement is true. After the grades have been published, a student pointed out that I misread the statement and ...
LeafGlowPath's user avatar
6 votes
1 answer
371 views

How to assess students in real analysis?

Terence Tao says the following in the preface to his book Analysis I: With regard to examinations for a course based on this text, I would recommend either an open-book, open-notes examination with ...
Pedro's user avatar
  • 1,800
11 votes
9 answers
4k views

Effectiveness of Requiring Students to Repeat Proofs Presented in Class

In teaching mathematics, I've avoided asking students to replicate proofs I've demonstrated in class, believing this approach primarily tests memorization rather than understanding or critical ...
user avatar
6 votes
1 answer
633 views

Strategies for Fair Assessment in Mixed-Ability Undergraduate Math Classes

In my undergraduate courses (discrete math, linear algebra), students' backgrounds vary significantly. One group has a strong math foundation from high school, while the other, less prepared, ...
user avatar
9 votes
2 answers
477 views

Should we assess ability to use specific problem solving methods, or general ability to solve problems?

This is my first semester being an instructor of record for a college algebra course. One of the sections we cover is "methods of solving quadratic equations", where we discuss factoring and ...
Brain Gainz's user avatar
2 votes
0 answers
321 views

Which areas of maths should underperforming western countries focus on?

I am not sure which StackExchange to ask this question but I am interested in the relative underperformance of Western countries such as Australia, US, UK compared to other higher performing countries ...
Poidah's user avatar
  • 161
12 votes
1 answer
474 views

How, now, shall we teach math online?

Now that everyone has had the experience of teaching math in an online/remote/synchronous/asynchronous format, and looking forward to more of this in the Summer and Fall terms, how do we change our ...
Nick C's user avatar
  • 9,729
5 votes
1 answer
197 views

For what subjects and grade levels is the take-home exam suitable?

I'm starting my job as a mathematics teacher in an intermediate school. I want to follow some new way of assessment and I'm really curious about take-home exams; are they suitable for any subjects? ...
Nour's user avatar
  • 151
5 votes
1 answer
243 views

Practical ways to check if a student has mastered a particular topic

I've been thinking that in an ideal world math classes would be self-paced, with a student being required to demonstrate mastery in a collection of topics and techniques in order to complete the ...
eternalGoldenBraid's user avatar
3 votes
0 answers
78 views

Is the annual system still in vogue anywhere in Europe, North America, Australia, or East Asia? And what about the 2-year B.A. / B.Sc. degree?

In Pakistan, we have until now had 2-year B.A./B.Sc. and 2-year M.A./M.Sc. university degrees after our 12th grade F.A./F.Sc. qualifications. Thus the former was a 14-year academic qualification, ...
Saaqib Mahmood's user avatar
8 votes
5 answers
400 views

Mathematics exam -- How to keep brain functioning through a four-hour exam?

So my question isn't directly related to math, but I think you might be able to help me. I'm a 17 year old, last year at school. My class specializes in math/physics (that's our educational system in ...
user494951's user avatar
12 votes
4 answers
930 views

How to design multiple choice questions

I've seen the previously-asked questions about the effectiveness of multiple choice problems, but I want to know about design. What are best practices in multiple choice problem design? The "common" ...
Nick C's user avatar
  • 9,729
12 votes
2 answers
263 views

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)?

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)? This question is open to all education levels. What is your ...
Marian Minar's user avatar
9 votes
3 answers
4k views

Questions for Oral Examination in Mathematics

I am working on some research on implementation of oral assessment in mathematics classroom, and I was wondering are there any questions/problems/concepts in mathematics that can be only assessed ...
Milica's user avatar
  • 91
10 votes
4 answers
332 views

Is it a good idea to use past questions in examinations?

When it comes to writing examinations, there are two options I am considering. Write the entire exam originally (which will of course mean some well-known proofs, thereby technically not making it ...
Trogdor's user avatar
  • 1,106

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