# 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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### Is it a good idea for elementary school students to observe and discover the “circle perimeter formula” themselves without being dictated to?

Let them discover $\;\ell=2\pi R\;$ by their own, at least the invariance of $\ell/R$ Do you think that the following method works well in a mathematics class of elementary school? What do you think ...
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### Different Teaching Styles for Different Genders?

I was recently looking through job listings in my local area (US high school, ages 14-18) and I found two boarding schools with vacancies, one was male-only and the other was female-only. This got me ...
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### Which works better for learning 6 * 7 = 42: saying “six sevens are forty-two”, or “six times seven equals forty-two”?

When memorizing and recalling the times table, I learned to say "six sevens are forty-two", and always wondered what it would be like to learn to say "six times seven equals forty-two&...
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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 $f$ ...
9k views

### Learning Mathematics with the aid of spaced repetition systems

I am currently self-studying, so I learn using a textbook which I work through in a linear fashion. As I am introduced to new concepts I ask myself questions and I attempt to answer these questions ...
84 views

### Research into the mathematical education of adults with no prior formal mathematical experience

I am curious about the experiences of people who had no formal mathematical training in their youth, but learned mathematics as adults. I imagine that there are a fair number of people in the US who ...
154 views

### Measuring the effectiveness of one-on-one instruction?

I've been recently thinking a lot about what would be the "best possible instruction method", and in regards to that, I've been drawn the question of what would be possible if a student had ...
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### Whence the “everything is linear” phenomenon, and what can we do about it?

$$\color{red}{(a+b)^2 = a^2+b^2}$$ $$\color{red}{\sqrt{x^4+y^4} = x^2+y^2}$$ $$\color{red}{e^{t^2+C} = e^{t^2}+e^C}$$ I've observed this phenomenon -- wherein, implicitly, students say, "...
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### 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 ...
523 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 edn ...
60 views

### Relational understanding for a specific topic

I want to aproach the undertanding of the trigonometric function based on the concept of relacional undertanding, but I have problems to came up with and problemic situation for it. I mean I don´t ...
74 views

### How long should we spend on teaching students the basics of subject?

Highschool-courses, at least in my country, are structured in a way that you tackle with a higher level of a given subject after some time constraint. So, after one year, you get to a higher class ...
242 views

### Math Education for Students who use Right-to-Left Written Languages

Does anyone know of any studies or have personal experience dealing with difficulties (if any) faced by students studying mathematics if they come from countries which use languages written from right-...
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### Is there a literature database like MathSciNet for Mathematics Education?

Is there a literature database like MathSciNet for mathematics education?
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### 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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### Data on textbook adoptions in universities (math/science)

Does anybody know if there is a website/database/... on textbooks adoption in the US or some other country? (math/science textbooks) It would be interesting to see which textbooks are (and have been) ...
150 views

### Tips and References for a 15 days Course on Math

I'm going to participate in a course (as a teacher) where I'm suppose to teach high school math to high school students in about 15 days during the year. Each class has about 1 hour long. Now, I think ...
154 views

### Scoring students' work is counter-productive

The Mathematics Assessment Project (MAP) has created lesson plans for high school lessons in maths based around formative assessment. They make the following remark about marking students' work in ...
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### Adult Learners Returning to College Level Math

I am currently reflecting two educational experiences that have made me question if there's research around this particular topic. 1) A few years ago, I was an adjunct instructor for a Trigonometry ...
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### Teaching Calculus I to engineers

I am in a research project where one of our jobs is improving the first year university experience for our students. One of the topics we are looking into is changing the way we teach our introductory ...
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### 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 ...
221 views

### Why is problem solving important for all of us? [closed]

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 ...
160 views

### 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 ...
342 views

### Propositional and predicate logic, with quantifiers: Is there any research when it is ideal to explicitly teach in mathematics education?

In terms of helping students to understand propositional and predicate logic, with quantifiers, is there any research regarding when it is most advantageous for students studying mathematics, to first ...
328 views

I am reading the paper Effects of game‐based learning on students' mathematics achievement: A meta‐analysis and can't find a definition for the term "PreK‐12th‐grade students". While I know that "K-...
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### What are the benefits of an expertly curated learning pathway?

What are the benefits of an expertly curated learning pathway? Like that provided by a major publisher's textbook - CPM, a school district's mandated curriculum - IM's Open Up Resources or a ...
250 views

### How to overcome the frustration in teaching and doing research at the same time

I understand that this website is designated particularly for teaching-related topics. However as many of us do agree that being a lecturer, we are supposed to run both teaching and research duties at ...
347 views

### Is the education system in Finland particularly good?

Inspired by this question: What makes education in Finland so good? Finland has marketed itself as a top country in education. Indeed, at some time, the Pisa results in Finland were quite good. ...
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### What Math(s) Ed literature is accessible to the working math(s) educator?

This site is - as far as I'm aware - for what I would term working maths educators. That is, on the whole the users of this site are not researchers in mathematics education. Rather, we are the ...
177 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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### 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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### 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 ...
139 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 ...
326 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 ...
211 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 ...
666 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 ...
83 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 ...
231 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 ...
5k 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 ...
166 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 ...
178 views

### 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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### 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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### 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 ...
5k views

### 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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### 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 ...
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### 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 ...