17
votes
Different Teaching Styles for Different Genders?
I can't cite research to back me up on this, and you will want answers that reference research. But.
Most of the differences between groups of boys and groups of girls come from how they've been ...
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14
votes
Whence the "everything is linear" phenomenon, and what can we do about it?
I guess you have already got plenty to read for "Where does it come from?" part of you question. Thus I just shortly introduce my favorite strategy that I use for "What can we do about it?" part, when ...
- 4,314
13
votes
Accepted
What is the correlation between students' contentment and educational quality?
From Clark, Richard, Paul A. Kirschner, and John Sweller. "Putting students on the path to learning: The case for fully guided instruction." (2012):
Even more disturbing is evidence that when ...
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13
votes
Accepted
What does the research say about direct instruction vs. student centered approaches
Abstract from Alfieri, Brooks, Aldrich, "Does Discovery-Based Instruction Enhance Learning?", Journal of Educational Psychology, 2011:
Discovery learning approaches to education have recently come ...
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12
votes
Whence the "everything is linear" phenomenon, and what can we do about it?
I've read all the existing answers long ago but still feel that none have gotten to the heart of the issue. We obtain mathematical results through a process of reasoning. That reasoning must be ...
- 2,381
12
votes
Accepted
How to think mathematically?
I believe the classic reference from the mathematics education literature is:
Cuoco, A., Goldenberg, E. P., & Mark, J. (1996). Habits of mind: An organizing principle for mathematics curricula. ...
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12
votes
Accepted
Is there a literature database like MathSciNet for Mathematics Education?
Yes, there is one called MathEduc.
Quote:
MathEduc (formerly MATHDI) is the only international reference database offering a world-wide overview of literature on research, theory and practice in ...
- 2,450
11
votes
What is it about the education of the Jewish people that has allowed them to produce such remarkable Mathematicians?
This question seems like a big opportunity for casual social science conjecturing which may or may not be productive. I hope I can clarify a couple of things in my response.
According to your ...
- 7,405
11
votes
Creativity in mathematics
Yes, there is a growing literature at the nexus of mathematics education and creativity. The main name to know is Bharath Sriraman (google scholar) though the classic pieces to read for mathematical ...
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11
votes
Accepted
How can a research mathematician transition into a mathematics education researcher?
As an earlier comment (How can a research mathematician transition into a mathematics education researcher?) indicates, I speak from the perspective of someone who has done a smidgen of math-education ...
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11
votes
Teaching Calculus I to engineers
Given 100% control, I would have one-to-one instruction. One instructor meeting individually with each student. That instructor can change the approach, the speed, the order of topics, the method of ...
- 6,405
10
votes
Effectiveness of proofs in secondary education
These books will be of interest to you:
Theorems in School edited by P. Boero
Teaching and Learning Proof Across the Grades, ed. by Despina Stylianou et. al.
My subjective sense is that the ...
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9
votes
Accepted
Research on how mathematics skills transfer to other areas
The answer you are giving to your students overlaps with the so-called "Mental Discipline" theory (also "Theory of Formal Discipline") for justifying mathematics education. As you search for research ...
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9
votes
Accepted
What are "PreK‐12th‐grade students"?
From the article:
Grade level was a categorical factor consisting of three levels: preschool–kindergarten students (or its equivalent if outside of the United States), 1st‐ to 6th‐grade students, ...
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9
votes
Teaching Calculus I to engineers
Without directly answering your question, you don't seem to have the background you need to be "improving" the undergraduate experience yet, and have some work to do. I think you're right in sensing ...
- 191
9
votes
Math Education for Students who use Right-to-Left Written Languages
I have some personal experience.
I taught in a school that has Israeli students whose families had moved to the US. These children had Hebrew as their native language. Hebrew is written right to left. ...
- 6,899
9
votes
Accepted
Is there a widely respected early childhood math curriculum?
Yes. Most importantly, math in the early years should be play. My publisher has a lovely book titled Moebius Noodles that might give you more insight.
But I wouldn't recommend anything like a ...
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8
votes
Accepted
What math courses should be taught to undergrad electrical engineers: a 40 years update
In my experience teaching undergraduate engineering students, key topics include at least some calculus, linear algebra and differential equations. Exactly how much depends on the field/subfield of ...
- 4,337
8
votes
Is algebra really the gatekeeper to higher math, or is it multiplicative reasoning?
First, a disclaimer: I am a mathematician, and not a math educator (at least, not beyond tutoring, and teaching algebra, statistics and some calculus as a grad student); thus, my answer is going to ...
- 81
8
votes
Is there a framework to study the mathematical competence in problem-posing?
Nice question! Let me add one reference to your list:
Silver, Edward A. "On mathematical problem posing." For the learning of mathematics (1994): 14(1) 19-28.
(PDF download link.)
Silver cites ...
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7
votes
Whence the "everything is linear" phenomenon, and what can we do about it?
I am deeply convinced that these fallacies come from the way we teach maths.
There is some research indicating that for the over reliance on linearity (see e.g. page 51 of the last EMS newsletter, as ...
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7
votes
What is it about the education of the Jewish people that has allowed them to produce such remarkable Mathematicians?
My answer is just my educated guess and so it is probably flawed. But I think besides mathematicians, you could also include writers or other scientists, think Freud or Oppenheimer for example. ...
- 289
7
votes
Accepted
Mathematics and the hermeneutic circle
First, a direct answer:
Yes, there is work in mathematics education connected to Gadamer. One soure for such studies is articles by Brent Davis; more generally, google scholar yields such ...
- 18.1k
7
votes
Creativity in mathematics
I believe you would like Jacques Hadamard, The Mathematician's Mind, which has changed the name since I've read it (it was called The Psychology of Invention in the Mathematical Field).
From the ...
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7
votes
How can a research mathematician transition into a mathematics education researcher?
One example may be Roger Howe, who is a distinguished mathematician at Yale University, most recently
at Texas A&M.
He has written widely on education topics, including this article on
1st-grade ...
- 28.1k
7
votes
Reason behind the dominance of particular countries in the IMO (International Mathematical Olympiad)
The book by Masha Gessen on Grigory Perelman has a
fascinating description of the Russian math camps,
specialized schools (e.g., Specialized Mathematics School Number 239 in Leningrad), and the ...
- 28.1k
7
votes
Different Teaching Styles for Different Genders?
I think the cognitive science is quite clear on this: Teachers should focus on learner similarities, not differences.
Teaching to What Students Have in Common
The corollary to the author's first "...
- 2,671
7
votes
Accepted
Policy in mathematics teaching
I will answer. I might not be answering the question asked (it is too unclear for me to be sure), but my answer is to what I think is being addressed in the linked book. (And if this question gets ...
- 17.6k
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