Questions tagged [primary-education]
For questions about the mathematical education in the first years in school (ages approx. 5-10).
8
votes
4answers
223 views
Intuition for the mean for elementary school kids
I was teaching elementary school kids (aged 10) about the mean. The intuition I gave them is roughly as follows:
You are trying to find a value such that the sum of all the distances from the mean ...
7
votes
3answers
483 views
Math Everywhere Activities
Question
Does anyone have a nice list of "no effort" activities that parents can employ to promote numeracy? I am primarily interested in K-8 activities.
Exposition
Often parents ask me about what ...
4
votes
5answers
771 views
How to correct visualization of mathematical expressions?
This happens a lot when I try to explain the commutative property, mostly in elementary grade levels. I say
2 + 3 = ?
and then the student usually replies with 5. Albeit they're not wrong, it's ...
7
votes
1answer
243 views
Third Grade Question — This makes no sense to me?
Third grade grandchild had this for homework. I don't even know the intent here?
16
votes
1answer
196 views
Has Benezet's teaching experiment ever been reproduced?
In the 1930's, Louis Bénézet, a superintendent of several schools in New Hampshire made the interesting experiment of teaching no formal arithmetic until grade 6:
In the fall of 1929 I made up my ...
0
votes
1answer
98 views
How to present the order of factors and summands for the usual multiplication procedure
In the following multiplication example,
$$\begin{align}
34\;&
\\\underline{\times\;\; 7\;}&
\end{align}$$
first one would multiply the units digits, producing the partial product $28$ as ...
3
votes
4answers
163 views
Method of Showing Algebraic Work
I have seen two different methods of showing algebraic work when solving equations. I show both of them below for the same simple math problem:
\begin{alignat}{8}
x+3 &\;=&\; 5 \qquad&&...
5
votes
0answers
128 views
Textbooks explicitly showing the injections for the sum of sets
Asking for methods to produce the sum of natural numbers from the disjoint union of sets, it seems that the obvious way is to use the general definition, as coproduct, of the sum of sets. The accepted ...
1
vote
1answer
94 views
How to build addition with sets?
I was taught under the New Math, so I should know this, but I am afraid I was tricked.
Using the cardinal, it is easy to define a multiplication, as the cardinal of the cartesian product is the ...
5
votes
1answer
159 views
Subtraction using Addition (Austrian Method), is it useful to learn this method instead of the usual “borrow” method?
I came across this method to perform subtraction using addition and not using the "borrow" concept, apparently because it is harder to learn it that way.
Video - https://www.youtube.com/watch?v=...
2
votes
2answers
134 views
Resources for Teaching Logic to Primary School Children?
What are some books or other resources for teaching primary school children logic?
16
votes
5answers
650 views
Why is multiplication taught using cross notation at first?
Alert: I am not a math educator.
It seems to me that multiplication is first taught using the cross notation, for example $3\times 5=15$.
First question - is that even correct? Maybe not all schools ...
7
votes
2answers
142 views
“Personalized System of Instruction” (PSI) vs. “Individually Prescribed Instruction” (IPI)
This question may be a bit overly-broad for MESE, but I am hoping to find some responses that can help to fill in my understanding of two similar forms of instruction that had their heyday in the ...
11
votes
7answers
1k views
How to teach sum of fractions to students?
I think almost every middle school student in my country has learned sum of two fractions in this non reflexive way (I'm included when I was kid), doing the following steps:
They calculate the lcm.
...
10
votes
4answers
273 views
How to teach a weak student?
I am tutoring a 9th grade student. And he is terribly weak in mathematics. He doesn't remember the multiplication tables, can't divide efficiently. Doesn't know how to proceed with solving a ...
4
votes
2answers
164 views
What's the word for addition and subtraction without borrowing or carrying over?
Is it regrouping? Upon googling it seems regrouping is borrowing or carrying over collectively. What's the word for not borrowing and carrying over? It's supposedly to train mental computation.
...
9
votes
0answers
169 views
Shanghai math — what is it, and how good is it?
Some schools in the UK are adopting English translations of a grade school math textbook from Shanghai. The book appears to be designed to work with a specific teaching approach, the only specifics ...
3
votes
2answers
183 views
The Order in Which Arithmetic Operators are Taught
Should multiplication be taught before addition and subtraction?
The obvious answer for most people is 'no'. However, I think there are a few valid points that could change the way students approach ...
8
votes
1answer
158 views
Multiplying two decimals using (camouflaged) binary representation
This post is largely copied from a response to the
17 Camels Trick MO posting.
Here I ask:
Q. Does anyone (in any country) teach this
binary method of decimal multiplication?
It strikes me ...
8
votes
1answer
146 views
Introducing the concept of variables to kids
Today I had a discussion on how to introduce the basic concept of variables in math using real life examples. We came up with ideas of using boxes containing matches, or M&Ms representing the ...
9
votes
6answers
354 views
Motivation in School
I live in Brazil and here we have some problems with teaching mathematics in High School. In some point of the students' life (I think it happens in the 5th grade), they start "hating mathematics" ...
10
votes
2answers
304 views
Correctness in learning mathematics
I came to mathematics via physics, in part because of the reputation of physics as allowing "non-rigorous" reasoning. The subject felt more free and less anal-retentive than mathematics. This is not ...
8
votes
1answer
166 views
Where can I find a set of these 'logic' blocks?
(It will be difficult to answer this question without 'advertising' for a retailer, but I've searched for these several times in the past few years, to no avail.)
In Math From Three To Seven (The ...
13
votes
3answers
656 views
Does the “how old is the shepherd” phenomenon occur for more relatable word problems?
A friend of mine just showed me this article about the "how old is the shepherd" problem: Link
Of course, I'm shocked by the finding that 75 percent of kids give an answer other than "there isn't ...
3
votes
2answers
79 views
Reinforcement mathematics thinking of 10 years old child by teaching `patterns`
As Lynn Steen in The Science of Patterns says, I think Mathematics is the science of pattern ...
14
votes
5answers
1k views
Soft questions for 8 - 12 year olds
I am concluding my second year in mathematics at the university of Milan.
I also happen to be an educator for 8 - 12 year old children (as a Scout).
Recently I have tried to fill some dead time by ...
7
votes
1answer
126 views
Subtraction Methods in School Mathematics
I have studied long ago different method for subtracting numbers, for instance the borrow method or the Austrian method (I hope I am using the right names; I am not an English native speaker and these ...
5
votes
4answers
243 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 ...
17
votes
12answers
2k views
Explaining the order of negative integers
Today I happen to have an interesting discussion with a primary school kid.
I asked him "Which is the smallest one - digit integer?" He instantly replied $-1$. I told him that he's wrong and the ...
4
votes
3answers
260 views
The meaning of equal sign in unit conversion
Recently, I read a paper about student's understanding of fraction. Most students mentioned in the paper had given $5/8$ as their answer to the following question:
...
9
votes
5answers
206 views
Primary/Elementary Math Resources for Homeschool
I'm a homeschool mom, my daughter is 7. She will be in second grade next year. I appreciate the different ways of doing math, rather than just stacking the numbers and adding/subtracting. I'm not sure ...
2
votes
0answers
154 views
Cognitively Guided Instruction (CGI) for 5th Grade
Are there any schools out there successfully using CGI with a 5th grade curriculum? Our students have poor number sense, and we'd like to remediate using CGI. I'd love to compare sequences of lessons ...
7
votes
1answer
176 views
Teaching Neural Networks to 6th grade students
I've been thinking if it would be possible to teach something about the basic mathematics behind Neural Networks / Deep learning to a class of 6th graders (12-13ys old). A 90-minute (max) lecture must ...
11
votes
3answers
179 views
How can I teach the concept of before and after a given time
I'm teaching my 6 year old how to tell the time. She can read analogue clocks comfortably.
We want her to be able to tell the time so when she wakes, if the time is past 6:15 then she is allowed to ...
17
votes
3answers
514 views
A Series of Unfortunate Examples!
All of us know, when teaching, the "right" choice of examples is important. Though, making the "right" choice is one of those things that are easier said than done. Here is the story of a series of ...
4
votes
1answer
127 views
Teaching measurement to 4th grade students by projects?
I'm going to be teaching measurement to 4th grade students and I want something a little more hands on. I believe that they would enjoy that more. So any helpful ideas or things you think would work ...
12
votes
0answers
263 views
Was math education following a western trend?
After some research on the recent history of math education in the U.S., from the new math movement to the beginning of the 21st century, I understood that the historic flow of the math education ...
10
votes
1answer
1k views
When and Why are different division symbols taught?
There are 4 division symbols that I have learned/taught.
Below is 18 divided by 3, shown with 4 different symbols.
This question was sparked by the comments on my answer to the question on examples ...
35
votes
23answers
5k views
Imbuing a six year old with a sense of mathematical wonder
My six year old started school a few months back and he's loving it. This first year is more about social skills than anything academic and I like that approach. But we're spending some time at home ...
4
votes
1answer
4k views
How to teach “after-before” of numbers to a $5$ year old?
I am currently teaching basic mathematics like numbers and tables to a $5$ year old girl. She is in nursery. But I am facing troubles while teaching her what comes after or before of a given number, ...
6
votes
1answer
124 views
Advice needed to teach a problem about speed
I am currently helping a friend's child with his schoolwork. He is currently in primary school and being taught the topic of speed. I would like to give him the following problem as practice but I am ...
11
votes
2answers
121 views
Visual questions for 6th graders
I'm tutoring a 6th grader in math at the moment and because she never has a ton of homework I like to give her some interesting extra problems to do. It seems she really enjoyed a problem I showed ...
7
votes
2answers
158 views
Online Resources to Explain Negative Numbers and Scientific Notation
I have to teach someone whose English isn't her native language (and her English skills aren't advanced) the concept of negative numbers + exponents, and how to read scientific / engineering numbers. ...
13
votes
4answers
15k views
When should a kid have memorized the multiplication table?
To contextualize: I know someone who is ten years old, and needed to use repeated addition to compute $4 \times 8$, i.e., needed to calculate it as $4 \times 8 = 8+8+8+8$.
Question: By what age ...
10
votes
4answers
371 views
Interesting Physical Implements for the Classroom
I'm interested in gathering a list of physical objects of mathematical interest for occasional or permanent display in a classroom. Mostly I'm interested in things that are wall-mountable, but any ...
13
votes
1answer
131 views
Seeking Concise Article on Motivations for and Benefits of Standards-Based Grading
I am preparing for my second year of implementing standards-based grading (SBG) in my 5th and 6th grade math course. I was thrilled with the benefits of using SBG with my students but found that I ...
8
votes
2answers
241 views
Is multiplication by zero clear for and understood by K-3 students?
For K-3 students, perhaps it is not acceptable to introduce multiplication by zero as a property or definition. Instead, the child may think about multiplication as, e.g., repeated addition.
...
4
votes
2answers
535 views
Hypothesis testing for children (grade 1-4)
What do you think, could hypothesis testing be taught, in some way (probably informal) to that age group of kindergarten to 4th grade? Ideas, some resources, published papers, and so on? This would ...
8
votes
4answers
383 views
1:1 iPads for K-3: how can an educator accommodate student(s) opting out?
My school district has decided to provide an iPad to every student in the district, from kindergarten to grade 3, starting next September -- although a handful of classrooms are piloting this ...
5
votes
7answers
920 views
Systems of linear equations in grade 3?
From a Grade 3 NAPLAN test:
"Question 28
Joel draws 24 rectangles.
He separates them into 2 groups so that there are 6 more in one group than the other.
How many rectangles in the larger group?
...
