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Which cognitive psychology findings are solid, that I can use to help my students?

I don't know how well-replicated the findings are, but I understand that having students work in groups, writing on vertical (why?!), non-permanent surfaces helps substantially. I saw that effect in a ...
Sue VanHattum's user avatar
  • 20.8k
25 votes

Which cognitive psychology findings are solid, that I can use to help my students?

Having pursued the same question as the OP with same motivation for over a decade (as an undergraduate classroom instructor, and a facilitator of a faculty interest group in STEM education strategies ...
Daniel R. Collins's user avatar
3 votes

Which cognitive psychology findings are solid, that I can use to help my students?

"The What Works Clearinghouse (WWC) is an investment of the Institute of Education Sciences (IES) within the U.S. Department of Education that was established in 2002." They have looked at ...
JRN's user avatar
  • 10.8k
56 votes

Which cognitive psychology findings are solid, that I can use to help my students?

There's a highly upvoted answer here claiming that practically no cognitive psychology findings hold up in replication. I don't think that's true at all. Sure, many findings don't hold up, but also, ...
Justin Skycak's user avatar
5 votes

Which cognitive psychology findings are solid, that I can use to help my students?

I highly recommend Daniel T. Willingham's "Why Don't Students Like School?" (from 2009, but there seems to be a new edition from 2020). It covers a wide variety of known results from ...
TomKern's user avatar
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3 votes

When is it appropriate to warn about the difficulty of a subject?

I've grappled with this a lot over the years, and wish there was a clear (research-based) answer to it. As a very rough analog, here's the result found by Harvard researchers in a test of emotional ...
Daniel R. Collins's user avatar
0 votes

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

I think one needs to try to do it by hand first to see what is going with computer/software/ai there needs to be understanding first, especially with the parameters, before we can use tools
Lenny's user avatar
  • 1,068
5 votes

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

The best use of ChatGPT I've found so far is for norming. Norming is the process where you show students how things will be graded so you and the students have a common understanding of expectations (...
Chris Cunningham's user avatar
1 vote

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

It does take some practice to learn how to prompt an LLM like ChatGPT to approach some problems. I highly recommend that you have your students watch this video by Jeremy Howard starting at the 17:13 ...
user52817's user avatar
  • 11k
8 votes

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

Let's take your use cases as an example: help with creating quiz questions, solving math problems, and answering students' queries in my classes ChatGPT can indeed save time on things like this, but ...
user1149748's user avatar
3 votes

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

This answer assumes that the student was acting in good faith and has an honest interest in mastering the material. I leave it up to you to decide whether that is the case here, but I would urge you ...
ComicSansMS's user avatar
3 votes

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

ChatGPT (or other language learning models for that matter) swallow information and when asked, it will show what it has swallowed without any verification, but one thing is crucial: Whatever shown, ...
Dominique's user avatar
  • 2,119
2 votes

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

Teach proper use of Chat-GPT. First, a warning: As per the pre-print ┬źunreflected acceptance┬╗, AI plus university student does much worse than search engine plus university student, when solving hard ...
Tommi's user avatar
  • 7,203
10 votes
Accepted

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

Your question is too broad, covering two separate topics (should and how). But answering the first one, I say "no". First, it's not like kids are (in general) crushing the basics, withe time ...
guest troll's user avatar
1 vote

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

Some calculus courses, often two or three, are generally required to take linear algebra even though it's sort of a different subject. I didn't know one could pass Calc 1 and not have enough facility ...
David Quinn's user avatar
1 vote

What are the essential topics in undergraduate financial mathematics?

The main Mathematical Finance program of which I am aware is the one at Boston University. You can find more about its academic components here. There is also a Graduate Certificate in Advanced ...
Benjamin Dickman's user avatar
3 votes

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

It's not reasonable to expect anyone to know how to factor cubic polynomials by hand. The fact is, you need to hand-pick the polynomial in the first place. In the general case, there is a cubic ...
James Liu's user avatar
4 votes

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

From the point of view of teaching, I would take a different tack. I'd say one of two things are likely: The student was genuinely surprised by being expected to know something they did not know or ...
user1815's user avatar
  • 5,595
13 votes

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

For what it's worth, when I cover eigenvalues of a $3\times 3$ matrix, I only assign matrices where either zero is an eigenvalue, or there is a helpful factor like $(1-\lambda)$ that stays on the ...
user1149748's user avatar
4 votes

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

One student challenged this, pointing out that extensive polynomial manipulation was not covered in our syllabus, which led me to reflect on what foundational math skills should reasonably be expected ...
Nick C's user avatar
  • 9,639
22 votes
Accepted

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

What basic math skills (e.g., polynomial manipulation, trigonometry, complex numbers) is reasonable for us to expect students to have when they enroll in a linear algebra course at the university ...
Justin Skycak's user avatar
9 votes

What are the essential topics in undergraduate financial mathematics?

The Society of Actuaries syllabi for Exam FM (Financial Mathematics = TVM, Bonds, Term Structure of Interest Rates, Duration/Convexity) and IFM (Investments and Financial Markets = Market Efficiency, ...
Steve's user avatar
  • 1,604
3 votes

What are the essential topics in undergraduate financial mathematics?

Given that he is into stats and math, he probably has a very decent math background (true math) already, compared to the average Goldman Sachs 22 year old analyst. He doesn't have a full-on quant jock ...
guest troll's user avatar
7 votes
Accepted

What is a corequisite course?

Corequisite remediation is a trend where remedial courses (which do not grant "college level" credit) are eliminated in favor of offering a college credit bearing course with supplemental ...
Steven Gubkin's user avatar
1 vote

What is a corequisite course?

It sounds like you're trying to get at a single underlying reason for why a course might be listed as a corequisite -- but I don't think it simplifies that far. There are many reasons why a course ...
Justin Skycak's user avatar
0 votes

What is a corequisite course?

It can mean more than one thing. At the community college in California where I taught until I retired, it could mean two different things: (1) Class A and B have to be taken the same semester. ...
kvjbhdklj's user avatar

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