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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Research into how students read algebraic expressions
In answering another question What is the justification to teach the (redundant) use of parentheses in multiplications? I was left wondering what we actually know about students' progression in terms ...
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Research Into Self-Learning at Undergraduate Level and Above
My motivation for this question is personal. I'm a software engineer and I study mathematical logic as a hobby. Subjectively, it feels like I make the most progress after asking a question on the Math ...
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Is there a widely respected early childhood math curriculum?
If it's a good idea to work on reading and language from early childhood, I'd bet that it's a good idea to work on math and quantities too.
I have an 18 month old. I've pretty much been winging it ...
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Conferences dealing w/challenges of teaching higher level math to STEM audiences
I'm interested in knowing whether there are conferences that have, among other topics, the difficulty of teaching higher level mathematical concepts to folks with prior established skills in STEM, e.g....
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Policy in mathematics teaching
Recently I was reading A Pathway to Equitable Math Instruction Dismantling Racism in Mathematics Instruction
And I ended up getting in doubt after reading things like this:
According to the ...
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What are differences and the examples of syntactic knowlede and substantive knowledge in mathematics?
There is a distinction between substantive and syntactic knowledge particularly in mathematics. There are several definitions for both knowledge. However, what are the indicators and the examples of ...
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Search for educational articles
I am looking for articles in French preferably (or in English otherwise, but my english is bad..) on the following topics:
study of assessments made in class after a problem;
phase of conclusion of a ...
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is it beneficial to encourage high school students to conduct their own 'research' in mathematics?
Is it good idea to encourage students to look up more about particular topics that interest them? The idea is that I don't think they will understand how to read math literature.
for example, if a ...
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What studies exist, comparing the efficacy of exercise sheets with or without worked solutions?
I've been tutoring mathematics at university level for over 10 years, and one of the more common requests from students is worked solutions for sheets of exercises. Most educators I've worked with ...
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Research on Waldorf/Steiner mathematics education
I am mildly interested in research on mathematics education in the Waldorf/Steiner educational context, primarily in the upper secondary school setting, but not exclusively.
Information about Waldorf/...
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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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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 ...
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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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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 ...
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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 ...
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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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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) ...
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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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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 ...
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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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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 ...
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What are "PreK‐12th‐grade students"?
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 ...
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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 ...
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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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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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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 ...
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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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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
user155
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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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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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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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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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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 ...
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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 ...
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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 ...
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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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"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 ...
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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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