Questions tagged [primary-education]

For questions about the mathematical education in the first years in school (ages approx. 5-10).

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Is privately tutoring Math or engaging with kids through learning, a cultural activity? How does it relate to the culture?

https://www.canada.ca/en/immigration-refugees-citizenship/services/immigrate-canada/self-employed/eligibility.html Please see the above link and the "relevant experience" section. I am a ...
user219261's user avatar
-1 votes
2 answers
188 views

Staircase method of small integer addition

I found the Math Games: Math for Kids to be excellent (if not extremely, excellent) at teaching elementary school math. But it made me think of some tricks, that could be displayed when teaching at a ...
Joselin Jocklingson's user avatar
2 votes
2 answers
144 views

International mathematical olympiad-type competitions at lower levels, and if they exist, their educational usefulness?

Educators in many countries have found that preparing highly motivated students for national and international mathematical olympiads can be useful in training them in mathematical ways of thinking. ...
tell's user avatar
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15 votes
18 answers
6k views

What are some "deep" questions to explore in elementary school math?

My first grader is very advanced in math. Rather than doing more and more math and making school math even more boring for him, I recently decided to start going "deeper" rather than "...
Akdinv's user avatar
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9 votes
1 answer
144 views

Where to distribute free math ed materials for informal settings?

I am a psychologist studying mathematical thinking and learning and I have been organizing a monthly math night at a local library. Each math night consists of a short presentation followed by several ...
baixiwei's user avatar
  • 193
1 vote
3 answers
179 views

Whole numbers as sets vs abstracted properties of sets

I recently landed on a book written for elementary school teachers which introduced the concept of whole numbers in the following manner: We have a set $\{\alpha, \beta, \gamma\}$. There are other ...
Harshit Rajput's user avatar
3 votes
2 answers
669 views

Elementary Teacher Math specialist/ Basic Math Minor

I'm the math department chair at a small university. Our general education program is non-traditional. The university is split into three areas. Students are expected to complete a major in one of the ...
Paul's user avatar
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8 votes
2 answers
236 views

A few quick sentences to inspire an 8 year old in Maths

I have always been passionate and fascinated with maths, my job revolves around the subject, but I'm not an educator. Today I met the 8 year old son of a friend, I had the opportunity to speak to him ...
a_s_r's user avatar
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3 votes
5 answers
524 views

Why do we explicitly state the equality of two things when we know they're equal

Recently my brother in high school and I were talking about some math when he said If we know two things are the same i.e. equal why do we need to state that they're the same? What he was trying to ...
Harshit Rajput's user avatar
6 votes
1 answer
1k views

What is the justification to teach the (redundant) use of parentheses in multiplications?

Example: 5 x 18 = (5 x 10) + (5 x 8) instead of 5 x 10 + 5 x 8?
AJSF's user avatar
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9 votes
4 answers
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Should math for elementary teachers content be taught under the direction of the math department?

I recently was appointed math department chair at a small university. We have a 3 credit math for elementary teachers content course. Administration told us they will change this course into an ...
Paul's user avatar
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11 votes
3 answers
2k views

Arithmetic books for adults

I'm trying to learn arithmetic from scratch again. Even though I can use it, I'm not sure if I can teach it to someone and I believe if you can't teach something properly, there might be loopholes in ...
Harshit Rajput's user avatar
3 votes
3 answers
674 views

What is the maximum value of the sum of the digits of the sum of the digits of a three-digit number?

The following is an elementary-level Math Kangaroo multiple choice question: What is the maximum value of the sum of the digits of the sum of the digits of a three-digit number? A. 9 B. 10 C. 11 D....
Tessa's user avatar
  • 39
29 votes
7 answers
6k views

What value is there in requiring students to answer word problems in complete sentences?

This is related to my previous question What value is there in requiring students to declare the dimensions of an answer when it is already clear from context? , but with a different focus. A sizeable ...
Robert Columbia's user avatar
2 votes
6 answers
647 views

Why is calculus important for pre-service Math basic school teachers?

Why should pre-service math basic school teachers take calculus courses? Should this course be different from calculus courses offered to engineering?
Humberto José Bortolossi's user avatar
-2 votes
1 answer
327 views

math syllabus US education system 1-12th Grade

Please share links to websites / pdf files containing syllabus in subject mathematics in US education system Grades 1-12. Thank you.
Jane B.'s user avatar
9 votes
6 answers
929 views

What value is there in requiring students to declare the dimensions of an answer when it is already clear from context?

When I was in late primary and middle school (east coast US, early 1990's), we were assigned a lot of word problems of the following general form: Mary has eight self-sealing stem bolts. She sells ...
Robert Columbia's user avatar
1 vote
2 answers
371 views

What is the MOST efficient paper/mental multiplication algorithm for integers?

What is the most efficient (fastest) multiplication strategy that can be done mentally or with a pencil/paper? We can include strategies that use interesting tools like Napiers Bones or Soroban math. ...
Zediiiii's user avatar
  • 175
3 votes
5 answers
794 views

How do I teach the difference between Linear Equations and Equation of a Line

I am more of an Intuitive Learner and Teacher so while looking at Linear Equations chapter I see that they are teaching Equations of Line there, which in my opinion is wrong. See How I understand it ...
Ashish Shukla's user avatar
0 votes
6 answers
883 views

Finding an analogy to explain the function of a binary adder

I want to find an intuitive analogy to explain how binary addition (more precise: an adder circuit in a computer) works. The point here is to explain the abstract process of adding something by ...
user1976's user avatar
5 votes
0 answers
324 views

Word problems written in past tense, present tense, or future tense

Does anyone have extensive classroom experience regarding the best verb tense to use when writing word problems at an elementary or middle school level? I have been writing some lessons recently and I ...
Ari's user avatar
  • 379
24 votes
10 answers
4k views

How to encourage young student to think in unusual ways?

I tutor a young girl aged 11 (grade 4). She is doing OK for her age, but I have observed that she has a tendency for rigid ways of thinking. She is usually more inclined to follow rules and stick to ...
BKE's user avatar
  • 1,282
1 vote
2 answers
765 views

Pro's and cons of number line model vs color counter model

Pro's and cons of number line model vs color counter model When teaching multiplication to elementary schoolers, the "number line model" and "color counter model" are both widely ...
Ferris Boyler's user avatar
4 votes
6 answers
631 views

Is there an agreed upon difference between how we represent $\frac{a}{b}$ and $a \cdot \frac{1}{b}$?

When teaching addition and multiplication of fractions, I seem to recall some advice on this site that one should first treat the cases $a \cdot \frac{c}{d}$ and $a + \frac{c}{d}$ before moving on to ...
Improve's user avatar
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6 votes
7 answers
1k views

Are these fraction problems different enough to warrant individual consideration?

Consider the following problems: A) You have 20 problems for your math homework this week, and you want to do 1/5 of them today. How many problems do you need to do today? B) You need to read a 20 ...
Improve's user avatar
  • 1,881
8 votes
2 answers
2k views

Teaching Math for Elementary Teachers

What would you guys say the requirements for teaching "Math for Elementary Teachers" should be? Is this generally agree'd upon? Would you recommend it be taught by somebody who has a ...
Ferris Boyler's user avatar
19 votes
9 answers
3k views

What is the rationale for distinguishing between proper and improper fractions?

I cannot recall ever hearing the terms "improper fraction" and "proper fraction" outside of an elementary and middle school setting. At some point in my mathematics education ...
Improve's user avatar
  • 1,881
2 votes
2 answers
171 views

How to encourage grade 5 kid very interested in mathematics?

My son is in Class or Grade 5 in India. he really likes mathematics. Apart from school work, he does ixl.com, website dedicated for math exercises of his class. he does those exercises relatively ...
user5349's user avatar
  • 121
0 votes
1 answer
346 views

What do kids(6-15) need to know in Math to be able to understand Math easily and effectively?

I teach kids in a village and I was wondering if there is a list of Facts, Procedures, things, a kid 6-15 years of age should know to be able to easily understand things at his/her level of Math. ...
Ashish Shukla's user avatar
2 votes
2 answers
742 views

Preparing elementary teachers for the praxis exam

I'm teaching a class called "Math for Elementary Teachers." The main goal of the course is to prepare the prospective teachers for an exam that I believe is called "Praxis" (some ...
Ferris Boyler's user avatar
2 votes
1 answer
131 views

Creating best hand on activities on how to teach equal sharing with fractions in grade 3

(a) How to enhance learners interest in learning equal sharing with fractions in grade 3? (b) Which effective activities will be used to help learners in learning fractions? (c) What can be created to ...
user1159386's user avatar
6 votes
2 answers
327 views

Is there an equivalent for "tiervenner" in English or other languages?

In Norway a widely used concept is that of "tiervenner", "ten friends" (my translation to Finnish is "kymppikaverit"). This simply means numbers (implicitly positive ...
Tommi's user avatar
  • 7,019
2 votes
1 answer
118 views

Reference request: an introduction to triangular, square, and other figurate numbers

There are dozens (maybe thousands) of websites that explain what triangular numbers, square numbers, etc. are. I'm searching for a printed book that includes this material, preferably at a level that ...
mweiss's user avatar
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3 votes
2 answers
615 views

Teaching words with multiple meanings in Mathematics and English

We want to teach about words that have multiple meanings, in mathematics and English for middle school children (e.g., function, root, or, volume, angle, constant). This is for students who are ...
Beverly P Woolf's user avatar
4 votes
5 answers
462 views

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 ...
Ali Taghavi's user avatar
24 votes
9 answers
5k views

Why do we introduce the notion that triangles are "congruent" instead of just saying that they are "the same" or "equal"?

The assumed age of the students is 10-15 years old. What is the danger in saying that two triangles are "the same" or "equal" instead of saying that they are congruent? It seems to ...
Improve's user avatar
  • 1,881
17 votes
12 answers
7k views

What can (and should) an educator do about ambiguous terms like "triangle", "square", etc?

The imagined students are in elementary school, say around 9-13 years old. I want to use rather precise terminology when talking to my students. However, it seems like we typically use the same ...
Improve's user avatar
  • 1,881
3 votes
3 answers
235 views

What are strategies that a 10-13 year old could use to convert 6/27 into decimal notation?

Background: I am working with 10-13 year olds. I saw a problem which requires the students to convert $6/27$ into decimal notation. I can think of some methods, but I have not tested using any of the ...
Improve's user avatar
  • 1,881
22 votes
2 answers
2k views

What does research indicate about how one should treat units in elementary school?

Background: My friend told me that when she was in elementary school, the teacher would ask questions like "If you have $6$ apples and eat $2$ of them, how many apples do you have left?" A ...
Improve's user avatar
  • 1,881
3 votes
2 answers
195 views

Looking for an educational game from long ago, possibly called Mother Goose [closed]

OK so this is really old school. Back in the 1980s, as a latchkey kid, I played on the computers in the library in elementary and middle school. There was this one bizarre educational game that I'd ...
eruciform's user avatar
  • 206
13 votes
3 answers
3k views

How many of "The Seven Laws of Teaching" are still relevant for teaching maths today?

Wikipedia shows that in 1886 John Milton Gregory outlined his "The Seven Laws of Teaching"; asserting that a teacher should: Know thoroughly and familiarly the lesson you wish to teach; ...
user 85795's user avatar
-1 votes
2 answers
173 views

What research has been done on the effects of requiring students to learn to count in an alternative number base such a binary or base eight? [closed]

What research has been done on the effects of requiring students to learn to count and do some easy arithmetic in an alternative number base, for example binary, base four, base six, base eight, base ...
Matthew Christopher Bartsh's user avatar
1 vote
2 answers
343 views

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&...
Matthew Christopher Bartsh's user avatar
31 votes
1 answer
5k views

Which product of single digits do children usually get wrong?

(I was inspired by the comments in this answer to ask this question.) I have some multiplication table cards from Kumon that have a list of commonly mistaken multiplications: $7\times 8, 4\times 8, 11\...
JRN's user avatar
  • 10.8k
64 votes
17 answers
9k views

Is there a virtue to learning how to compute by hand?

I have been professionally tutoring a wide range of students (from elementary school through graduate school) for many years. Most of them are from the United States. I generally focus on helping my ...
Geoffrey's user avatar
  • 890
2 votes
0 answers
238 views

Why students do not notice sign of plus/minus?

My child in grade 3 often needs a reminder because in a task where he needs to do addition he would subtract instead of adding or v.v ignoring the signs given in a task. He would also forget adding ...
gpuguy's user avatar
  • 281
5 votes
1 answer
235 views

Sensible amount of repetition 7 year old

We are now in lock-down, so while homeschooling my son I get to se exactly what he does for math. He has been getting a huge amount of repetitive practicing of really simple math, despite being quite ...
Ivana's user avatar
  • 53
25 votes
23 answers
5k views

How can I explain why we need proofs to someone who has no experience in mathematical thinking?

I know someone I really like, but sadly, that person has absolutely no experience in math or mathematical thinking above third grade mathematics (+, - are fine, but division already makes problems). ...
user15257's user avatar
  • 351
0 votes
4 answers
377 views

Defining mathematics to primary/elementary school teachers

I'm looking for a simple way to define mathematics to primary/elementary school teachers and explain some of the confusion children have. I'm hoping some Algebraist could help me properly state the ...
Johnny M's user avatar
1 vote
1 answer
153 views

Resources for Unit Rates

I am currently mentoring my little brother in mathematics. There is an issue with the pedagogy of unit rates. For example when given the following concept " 11.00 U.S. Dollars to 20 Planet X ...
EnlightenedFunky's user avatar