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Questions tagged [education-research]

Questions about education research are related to the various social scientific research work being done in areas related to mathematics education.

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Studies about group tutoring sessions

I’m not sure if this question belongs here, so I apologize if it doesn’t. I work in a tutoring center at my university where we tutor every subject. Mathematics is in high demand, and occasionally my ...
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1answer
98 views

Mathematics acts as a filter to higher education [closed]

I need to comment on this topic. I think it indirectly asks about the importance of Mathematics in higher education. Am I correct ? Kindly provide the desired arguments. Thanks& regards
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Possible Educational Outcomes of “Riemann Hypothesis” [closed]

I know the consequences of Riemann Hypothesis which are used in Number theory and Analysis. But I want to know what could possibly be the Educational Outcomes of Riemann Hypothesis, if it is ...
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6answers
221 views

Book recommendations on mathematics education focusing on geometry

I will be teaching Euclidean geometry to future teachers, and I am feeling a bit lost (I know geometry, but I am not that familiar with mathematics education). Is there some recent (as concise as ...
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1answer
60 views

Practical Implication for Correlation (Lay individual vs Scholarly Group)

Can you please explain or provide resources that explain this issue (esp. to a lay audience): How to understand the significance of a co-relation number that studies (esp. meta-analyses) produce. The ...
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0answers
107 views

What effect does giving numerical or written grades have on learning?

When I was in school, pupils were given numerical grades, or the equivalent of numerical grades but disguised as words, on their performance in various school subjects and also behaviour. A key ...
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2answers
102 views

Mathematics Research at Secondary Level (High school Level)

I am a future teacher and am interested in incorporating a mathematics research unit where my students do their own research on an unsolved problem. I have a couple ideas on problems, but am ...
4
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0answers
98 views

Why is problem solving important for all of us?

I am looking for academic references related to this questions. In fact, I need to write a paper which shows the importance of problem-solving approach for everyone. Certainly, this should include ...
2
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1answer
78 views

How AI can help learn mathematics [closed]

I am working with AI methods and thinking about how my daughter (also other kids) can learn mathematics with AI help easier (like showing where in learning path was biggest mistake and etc.)? I know ...
2
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2answers
232 views

Ought color be used more in math?

Is there any research that substantiates the helpfulness of using colour in presenting math? Colour has been used effectively by user Bill Dubuque on Math SE, Calculus: Early Transcendentals (6 ...
6
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1answer
222 views

Is there a study that proves that math proficients usually perform better in other subjects vs. people who perform shoddily in math?

The title is based on this Reddit post: It's 1:30am so I'm not going to go dig up the study, but what it showed was that, on average, a person who performs well in mathematics usually performs ...
9
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1answer
127 views

Experimental results about the variability of grades on a math exam

"[Myth] that exams are objectively graded. Daniel Stark and Edward Elliot sent two English essays to 200 high school teachers for grading. They got back 142 grades. For one paper, the grades ranged ...
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2answers
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Should basic exercises be solved before formulas are introduced?

I was watching (as a fellow teacher) a lecture on arithmetic progression. It so happened that a formula was rapidly introduced and used. The formula was $a_i = a_1 + (i-1)r$ (I trust the terms ...
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4answers
772 views

Should we finish algebra before starting geometry?

Comparing an old french mathematics book for grade 9 and a new one, one obvious difference is the ordering of the chapters. In the old book, all the algebra chapters are grouped together then all the ...
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3answers
329 views

What does the research say about direct instruction vs. student centered approaches

I have heard contradicting views that both parties say are research based. Specifically, I am looking for research on which teaching methods (direct instruction or student centered approaches) are ...
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0answers
64 views

How to control for numerical factor in mathematics education research?

I am going to carry out a small scale action research on ratio problems. I would ask the same questions in different ways and see whether wordings would affect students' performance. However, past ...
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1answer
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Math Education Research Areas

I am starting my PhD this Fall in Math Education. I would like to either teach math at a university or work in a curriculum and instruction department doing research and teaching for a university. ...
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Studies into the effects of having fewer classes per term

Have there been any studies done into the effect of having fewer classes per term on a student's comprehension of their mathematics course material? Also are there any examples of schools that have ...
6
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3answers
350 views

Source for analysis of identification of structures in learner's mind and mathematical structures?

Concerning the structure of the learner's mind, psychologist Piaget claimed that There exists, as a function of the development of intelligence as a whole, a spontaneous and gradual construction ...
6
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2answers
174 views

Need scientific source to prove the difference between arithmetics/calculus and real mathematical skills

For research about cognitive information retention, I'm trying to find a scientific reference where they explain the difference between the capability to apply real mathematical skills (entailing ...
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1answer
702 views

What is the difference between “numeracy” and “number sense”?

Is there a difference between numeracy and number sense, or are they synonymous? In my language they are often both translated to the same word (tallforståelse). I'm thinking that perhaps numeracy ...
3
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0answers
227 views

How many secondary-school students are working on achieving independent understanding?

If mathematicians and math teachers and textbooks in all cultures in all eras say that a certain theorem has been proved, then the reasonable layperson trusts them. At the same time, a student who ...
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2answers
443 views

“Good” and “Bad” student intuitions when teaching and learning mathematics

I'm a college math/science tutor and I'm really interested in STEM education. I'm currently starting work on a project I hope to present in a couple of months at a tutoring conference and I was ...
17
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1answer
478 views

Reason behind the dominance of particular countries in the IMO (International Mathematical Olympiad)

I was watching the result of IMO 2014 where I found that China was on Top and USA, Russia were following China. This is not the exceptional case, you can pick the results of each IMO in some of the ...
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1answer
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Typical rate of success in junior or senior level math courses at US universities

I am curious, if we define success or failure by grades earned, or pass-rate (pass meaning the student does not need to retake the course) then what is the typical pass rate for students in upper ...
4
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1answer
64 views

Research on the effects of simulation and interactive visualization

Are there any existing research on the effectiveness of computer simulation and/or interactive visualization for the learning of mathematical concepts? I ask because: There has been some efforts in ...
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0answers
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Literature on teaching and learning probability

In an earlier question, the book Exploring Probability in School (2005) (Link) was mentioned. It gives an overview of the research on the teaching and learning of probability up to that point. Does ...
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3answers
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“Function” vs “Function of …”: how much does it contribute to students difficulties?

Most textbooks I've seen (and teachers I've met, myself included) are rather careless about the distinction between variables and functions. For example, when we write $y=f(x)$ we all know that $f$ ...
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1answer
188 views

conceptual framework

The undergraduate students are having difficulty in solving problems like algebra and geometry in a classroom. In order to improve their poor performance in mathematics, an intervention (enhancement ...
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2answers
251 views

Importance of exercises for learning mathematics

For me it seem to be obvious that exercises and exercise courses are important for undergraduates to learn mathematics and skills like finding a proof or writing it down. Was there any research ...
4
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1answer
104 views

References on the effectiveness of manipulatives (virtual vs. physical) [duplicate]

I am in need to find references for my thesis proposal. My topic is "Virtual manipulative versus physical manipulative: which way do students learn faster?". Do you know any authors that worked on ...
12
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3answers
166 views

What is the correlation between students' contentment and educational quality?

In order to evaluate new educational material the contentment of students with this material is often measured. However, just because a student is contented doesn't mean that he/she has actually ...
5
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4answers
251 views

Average time to solve basic arithmetic problem

I am a game developer currently making a game based on basic arithmetic problems for kids and teens. Are there any research papers on the average time to solve basic arithmetic problems or on how to ...
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1answer
212 views

Is there a literature database like MathSciNet for Mathematics Education?

Is there a literature database like MathSciNet for mathematics education?
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3answers
556 views

Teaching algebra to visually impaired or blind students

I am currently writing an independent project investigating the teaching and learning of algebra for students with a visual impairment. I am struggling to find literature specifically about teaching ...
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75 views

Appropriate journals for case study article about teaching math to learning-disabled student

Many scholarly articles have been written about the relationship between low working memory and math learning difficulties. There's not much written about what to do about it. I would like to write ...
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4answers
613 views

“Calculators are so twentieth century.”

Even though I studied maths, I became familiar with programming in my junior year at university. I'm indebted to the professor who encouraged me in that pursuit, as it provided me with an avenue not ...
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1answer
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Way to learn mathematics [closed]

Good day. I am working in IT-related field, has a bachelor degree and intend to get graduate degree in Computer Science. Since it requires passing some math test I need to prepare for this exam. ...
13
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6answers
468 views

How to think mathematically?

Later this year, high school teachers from the region will visit our university for a day and be given special lectures on different topics. I've been asked to give a talk with the title "How to ...
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1answer
179 views

Research on reciprocal teaching of mathematics?

Reciprocal teaching seems to have started as method of teaching how to read difficult texts (with respect to the level of the reader). Has reciprocal teaching been applied to teaching mathematics? Is ...
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1answer
98 views

Where can I publish on an undergraduate course that I helped develop and teach?

I co-developed and co-taught an interdisciplinary course with several colleagues from several departments for junior/senior college students. This was a very interesting experience, and I am wondering ...
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152 views

Rewards based educaton

How important are rewards - read marks/grades - for students in education? Can the thirst for grades/marks be replaced by a desire for learning? Context Problems are at the heart of mathematics ...
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4answers
310 views

How can a research mathematician transition into a mathematics education researcher?

Mathematics education research is generally very different than mathematics research. I am interested in collaborating with mathematics education professors at my next institution, and possibly ...
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3answers
169 views

References on British, German and French educational system

I'm writing a comparative study between mathematical teaching in my country (which sucks by the way) with others. However, I don't want to make it about today, globalization gives us a good notion of ...
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4answers
506 views

Creativity in mathematics

I have recently been engaging more and more with my creative side by drawing, writing, and (trying to) playing piano. I have come to see mathematics as much more of a creative field of study than I ...
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2answers
302 views

Is there a framework to study the mathematical competence in problem-posing?

I've read some articles about it and those papers show us that there are some facts to understand the mathematical competence in problem-posing. Besides that, those investigations show that there are ...
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2answers
249 views

Effectiveness of proofs in secondary education

I'll have a department meeting in about 10 days and I want to bring the subject of proofs up. While most teachers do proofs in the blackboard, I want to argue that we should put problems to prove in ...
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4answers
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Is algebra really the gatekeeper to higher math, or is it multiplicative reasoning?

The National Mathematics Advisory Panel final report states that algebra is the gateway to higher math, to a college degree, and higher earnings from employment. It also states that success in algebra ...
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3answers
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What math courses should be taught to undergrad electrical engineers: a 40 years update

I was browsing IEEE xplore the other day and found this gem called "What Mathematics Courses Should an Electrical Engineer Take? A Report on the National Study of Mathematics Requirements for ...
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Literature on skill transfer

Motivated by this other question I'm interested in getting to know the literature on mathematics skills transfer within itself. All I know is what I've read in David Perkins's book "Knowledge as ...