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Questions tagged [classroom-interaction]

A focus on the quality, content, or consequences of patterns of action that occur among classroom participants.

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3 votes
2 answers
117 views

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

These days I am reading Imre Lakatos's Proofs and Refutations and I can't stop thinking how one could utilize it in the classroom (mostly high school). Some stray half-baked ideas I have had so far ...
Vassilis Markos's user avatar
3 votes
0 answers
109 views

How to make student work in think-pair-share?

I have been trying the think-pair-share technique in my undergraduate linear algebra class of about 30 students. Some students quite enjoy the experience. But I noticed that some other students simply ...
user avatar
16 votes
3 answers
644 views

How to balance between teaching to the standardized test vs understanding?

For people teaching high school standardized curriculums such as AP, IB, or A-Levels, how do you find the balance between preparing students for the standardized test compared to ensuring they ...
okzoomer's user avatar
  • 341
37 votes
10 answers
9k views

Combative students in proofs classes

When teaching my first discrete math class recently, I found a subset of about 5 out of 35 of my primarily computer science students who I struggled to reach. If these students simply struggled with ...
Opal E's user avatar
  • 4,109
2 votes
0 answers
482 views

Peter Liljedahl "Thinking Classroom" pedagogy: what is evidence for its effectiveness?

Peter Liljedahl discusses a lot about "thinking classrooms". There is research and books, which show, that his methods transform classes from "non-thinking" to "thinking"....
danbst's user avatar
  • 149
18 votes
14 answers
6k views

What mathematics activities get students physically moving?

What college mathematics topics can be taught in such a way that causes students to physically move around? Background: Recently, it was suggested to me by a faculty member (from another academic ...
Nick C's user avatar
  • 9,736
12 votes
1 answer
233 views

tutorial active learning

This is a question I asked on [Academia.se]. It did not get an answer, so I am re-posting it here. In the country where I live, university students studying mathematics usually attend lectures, ...
AnyAD's user avatar
  • 301
4 votes
2 answers
93 views

Gauging correspondence between classtime and material rate

We are teaching a real analysis course each week for two hours one day and one hour another day. We use a blackboard and we upload most of the class notes to encourage students to participate instead ...
Thomas Kojar's user avatar
9 votes
3 answers
277 views

Physical devices for exploring calculus or pre-calculus

I saw this partial derivative machine yesterday, and it got me excited about other physical devices for exploring calculus concepts in a "lab" setting (e.g. make a prediction, collect data, etc.) Do ...
Nick C's user avatar
  • 9,736
4 votes
2 answers
5k views

Topics in Mathematics for a 15 minute demonstration

I need to appear for an interview for the post of Assistant Professor in Mathematics in an undergraduate college. My Backgorund : I have studied topics like Algebra comprising of Group Theory,Ring ...
user avatar
8 votes
4 answers
806 views

Making physical 3D models

I was thinking to make classroom illustrations of some 3D mathematical objects, such as graphs of 2 variable functions, minimal surfaces, etc. My question is, what would be a good way to go about it? ...
timur's user avatar
  • 181
8 votes
1 answer
147 views

How to organize a "cheatsheet-making session" with students

I am in charge in my institution of a class where students prepare math interviews to enter university. Part of the time is devoted to the review of the topics of PreCalculus and Calculus the students ...
Taladris's user avatar
  • 1,487
15 votes
4 answers
771 views

How To Help a Quiet Class

This term I am teaching a very quiet precalculus class. I am having trouble getting students to answer questions or respond to verbal prompts, even questions I know they can answer. What I initially ...
Nick C's user avatar
  • 9,736
16 votes
1 answer
290 views

How to improve atmosphere in male-dominated courses

I'm teaching a graduate applied mathematics qualifying exam review course this summer, and I have 9 males and 1 female. My co-instructor and I are also both male. While I don't necessarily see this ...
icurays1's user avatar
  • 485
5 votes
1 answer
202 views

Erasing students' work - etiquette/guidelines?

What are some guidelines on erasing students' work such as on a chalkboard/whiteboard in a classroom or on paper in a private tutorial class? Usually this is for the parts of maths that involves ...
BCLC's user avatar
  • 574
8 votes
1 answer
118 views

Assessing the level of students in a class

Recently I've moved to another university and next semester I will have my first class there. The problem is that I don't know the level of the students that will be attending my class. Of course, I'...
dtldarek's user avatar
  • 8,997
10 votes
4 answers
545 views

Interesting Physical Implements for the Classroom

I'm interested in gathering a list of physical objects of mathematical interest for occasional or permanent display in a classroom. Mostly I'm interested in things that are wall-mountable, but any ...
NiloCK's user avatar
  • 5,030
14 votes
1 answer
454 views

Students blogging on math

Has anyone had their students (high school and beyond) put expositions of math problems/topics/projects on a class blog to be critiqued by other students and revised on-the-fly to provide some ...
Tom Copeland's user avatar
19 votes
3 answers
463 views

What should I do if I have a student 'hiding' their working out?

I recall in one of my classes earlier this year that I had a student who always 'hid' their working out from me when I walked around to see how well they're going with the question. The usual practice ...
Trogdor's user avatar
  • 1,106
15 votes
1 answer
221 views

Strategies for encouraging student discussion, explaining, and argumentation about mathematics

How do we get students to see their own explanations as valuable to their learning? For instance, talking can help a student uncover misconceptions that might otherwise remain unexplored until much ...
JPBurke's user avatar
  • 7,463
11 votes
3 answers
650 views

Common phrases having different meaning

When talking with students it frequently happens that they misunderstand what you meant. The common example is the amount of rigor that one would consider "a proof", but there are other ...
dtldarek's user avatar
  • 8,997
14 votes
5 answers
686 views

Remedying poor interpersonal skills

When I have TAed calculus courses and led discussions, while I did not find myself grossly inept at interacting with students, there was a bit to be desired with making discussion interactive. I am ...
abnry's user avatar
  • 852
14 votes
2 answers
292 views

How have you used technology to create an opportunity for mathematical reasoning in your classroom?

Shaffer and Kaput (1998) wrote that technology has the power to transform the mathematical thinking that is possible in classrooms, giving students new ways of experiencing mathematics as a sense-...
JPBurke's user avatar
  • 7,463
19 votes
3 answers
537 views

When is it appropriate to lecture?

I take it that lecture is rarely the most effective way for a student to learn. Lecture is a case where, I believe, research on learning firmly backs up the common experience that lecture rarely helps ...
Michael Pershan's user avatar