Questions tagged [primary-education]

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

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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. ...
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276 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 ...
821 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 ...
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82 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 ...
• 349
70 views

From primary school to higher mathematics all mathematical abstract concept summary

is there any books or articles for summary abstract concepts from primary school to higher mathematics? we know such as mathmatical operations ...
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 ...
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1 vote
262 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 ...
572 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 ...
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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 ...
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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 ...
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 ...
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164 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 ...
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155 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. ...
706 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 ...
55 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 ...
279 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 ...
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1 vote
74 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 ...
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217 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 ...
356 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 ...
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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 ...
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6k 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 ...
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199 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 ...
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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 ...
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177 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 ...
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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; ...
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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 ...
1 vote
241 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&...
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