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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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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13
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 ...
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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 ...
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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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10
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 ...
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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
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. ...
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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
"Function" vs "Function of ...": how much does it contribute to students difficulties?
I really appreciate your question. It gets to something I think about often when teaching calculus. You should read about Ed Dubinsky's notion of reflective abstraction, rooted in Piaget.
At one ...
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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 ...
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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 "...
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6
votes
Average time to solve basic arithmetic problem
This question is almost totally unanswerable unless you clarify what is meant by "basic arithmetic problems for kids and teens".
But let's consider a lower-bound case where you're talking about ...
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6
votes
Does playing tournament chess result in high-level mathematical gains, and not merely a skill whose benefits can be gained through any other activity?
While I don't have a deep knowledge of peer-reviewed literature on transfer of skills from playing tournament chess, I am an experienced tournament chess player as well as a math educator. Based on my ...
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6
votes
Is the education system in Finland particularly good?
The following research paper, by a Finnish researcher, is expressing more concern than enthusiasm about the effectiveness of the "Finnish way" to education:
http://elib.mi.sanu.ac.rs/files/journals/...
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6
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 ...
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6
votes
Importance of etymological approach to terminology
I think etymology is not useful in the way proposed by the OP.
But here is a case in mathematics where etymology can help with spelling:
parallelepiped
The etymological analysis is: parallel + epi + ...
- 7,273
5
votes
Is there a framework to study the mathematical competence in problem-posing?
The answer to your question is yes. Check out the recent textbook:
Singer, F. M., Ellerton, N. F., & Cai, J. (Eds.). (2015). Mathematical problem posing: From research to effective practice. ...
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5
votes
How to think mathematically?
I've found "The 5 Elements of Effective Thinking" to be a good start. It was originally written to address exactly what you ask about: to explain how mathematicians think. However (according to the ...
- 7,252
5
votes
conceptual framework
A conceptual framework should inform the experimental design, not be something that you add on like a garnish after the entire experiment has been planned. You say that the students are having ...
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5
votes
Accepted
"Function" vs "Function of ...": how much does it contribute to students difficulties?
Pat Thompson has done research on students' and teachers' understandings of functions and variation. (He's a co-author on the article mentioned in this answer, though he's not listed for some reason ...
- 2,404
5
votes
Source for analysis of identification of structures in learner's mind and mathematical structures?
This is not on general New Math controversy but more on Piaget. I suggest reading a few articles in general about issues with his assertions.
Here is a simple overview, but several more are ...
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5
votes
Is there a study that proves that math proficients usually perform better in other subjects vs. people who perform shoddily in math?
"Other subjects" is a gross generalisation and it certainly is wrong to say that proficiency in mathematics correlates with proficiency in ALL other subjects.
Numerous studies have focused on ...
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5
votes
How to overcome the frustration in teaching and doing research at the same time
I think there's a lot of variability in publishing rates between different STEM fields and this can lead to administrators imposing unrealistic demands on Mathematics faculty.
Anecdotally I've heard ...
- 7,252
5
votes
Propositional and predicate logic, with quantifiers: Is there any research when it is ideal to explicitly teach in mathematics education?
I'm afraid I don't know of any research that has been done to my satisfaction on this pedagogical issue of teaching logic, because all of those that I found so far (over many years) investigate ...
- 2,536
5
votes
Teaching Calculus I to engineers
It's about the learning experience.
An issue with project based learning is the need for objective grading isn't going away. Since the first semester of mathematics is what serves to filter out under ...
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5
votes
Adult Learners Returning to College Level Math
In the
Encyclopedia of Mathematics Education.
Lerman, Stephen, ed. Dordrecht: Springer, 2014.
there is an article entitled
"Adults Learning Mathematics"
by Diana Coben and John O’Donoghue
(...
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4
votes
Importance of exercises for learning mathematics
From my own experiences as a undergrad math major, I would say that good, quality exercises are one of the best tools for teaching math to people. Paul Halmos was right: "The only way to learn ...
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4
votes
Accepted
References on the effectiveness of manipulatives (virtual vs. physical)
Here's a piece comparing virtual manipulatives to traditional teaching without manipulatives, in the context of community college remedial courses:
Violeta Menil and Eric Fuchs, "Teaching Pre-...
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