# Questions tagged [primary-education]

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

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231 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. ...
301 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 ...
240 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 ...
167 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 ...
187 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 ...
450 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" ...
366 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 ...
305 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 ...
916 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 ...
88 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 ...
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 ...
151 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 ...
339 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 ...
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 ...
282 views

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: ...
240 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 ...
181 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 ...
205 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 ...
194 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 ...
792 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 ...
156 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 ...
302 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 ...
4k 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 ...
6k 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 ...
5k 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, ...
130 views

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 ...
149 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 ...
168 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. ...
26k 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 ...
448 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 ...
140 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 ...
289 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. Examples ...
776 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 ...
524 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 ...
945 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? ...
2k views

### Teaching a very enthusiastic and bright 5 year old

I was asked to give extra lessons to a 5 year old boy who loves math (he says he likes 3 sports: football, swimming and math). However, I have never tought at this age and I am unfamiliar with the ...
541 views

### Is there a Piagetian age at which proofs can be comprehended?

I am wondering if there is literature on the developmental age (pre-adolescent?, adolescent?) at which the notion of a "proof" can be understood? I am less interested in mathematical proofs and more ...
9k views

### How to explain the flipping of division by a fraction?

This question is inspired by @DavidButlerUofA's discussion of "$\div \frac{2}{3}$ as $\times \frac{3}{2}$" in "Are fractions hard because they are like algebra?" Q. How can one best convey to ...
165 views

### Looking for a tool to create a digital multiplication quiz

I'm looking for some site or software which can help me create an easy, digital multiplication quiz for my students. Some things which need to be included: The student need to be able to type in the ...
111 views

### Pi Day Celebration Ideas?

I realize it is probably a little late seeing as Pi Day is tomorrow.. but for the future, or late celebrations on Monday, what are some things that you do with your students for Pi Day (any grade ...
279 views

### How to estimate the time needed to solve a basic mathematics problem

I want a way to know the time needed to solve addition, subtraction, multiplication and division problems. Examples $15 + 10$ $500 - 132$ $10 \cdot 10$ $20 \, / \, 10$ Is it possible to create a ...
14k views

### How to explain the difference between the fraction a / b and the ratio a : b?

I found it difficult to explain the difference between the fraction a / b and the ratio a : b. This subject is for pupils of grade 5. So is there a real difference between them and how to explain the ...
637 views

### What are some common fallacies students make when they learn $X$ concept?

What are some common mistakes students often make, which may seem logical at first? I'm a student myself, but I'm curious of what some of the most frequent mistakes which happens. I'm thinking of ...
109 views

### Is there a name for 'simple' two-input-one-output word problems?

Andy has 4 apples, and then eats 2. How many does he have left? Beth drives for 3 hours at 80 km/h. How far did she go? Carl, Debbie and Earl earned \$30 together shoveling driveways. How much does ...
275 views

### Fun resources and games for advanced elementary school math students?

My younger cousin (2nd grade USA) is advancing very quickly in his current math class. The school does not have much to support him in moving ahead in the material. What websites (preferably game or ...
1k views

### How early and how much can you teach kids and teenagers about vectors?

I have met kids and teenagers who I believe are capable of understanding the concept of a vector. However, I have only heard of a select number of schools who teach it to young people. Here's my main ...
149 views

### What is a good reference for (this way of) generating a logarithmic scale?

I am interested in answers to the title question without parentheses, but I found this method below rather interesting, and I am hoping to find it published somewhere, along with a teacher's guide ...
196 views

### Common Core Subtraction [closed]

I just read somewhere the question, "What was wrong with the old way?" That was followed by the statement that "Clearly the old way did not work". This was, I think, based on years of following what ...