What a kid learning math can look like -> talking through two interesting homework problems my younger son had this week

This week my son had two pretty neat homework problems – one from his math class at school and one from Art of Problem Solving’s Precalculus book. I thought it would be a nice and easy project today to go back and review these two problems. The first one was a geometry problem from his … Continue reading What a kid learning math can look like -> talking through two interesting homework problems my younger son had this week

What a kid learning math can look like – incircles and circumcircles

This problem gave my son a lot of trouble this morning. It is from one of the challenge problem sections in Art of Problem Solving’s Introduction to Geometry book: A triangle has side lengths of 10, 0, and 12, find the lengths of the radius of the inscribed and circumscribed circles. This problem looks like … Continue reading What a kid learning math can look like – incircles and circumcircles

What a kid learning math can look like -> working through a pretty challenging geometry problem

My older son had a really neat geometry problem on his enrichment math homework. The problem is this: Let be the vertices of a regular n-gon, and let B be a point outside of the n-gon such that form an equilateral triangle. What is the largest value of n for which and B are consecutive … Continue reading What a kid learning math can look like -> working through a pretty challenging geometry problem

What a kid learning math can look like: struggling through a great geometry problem

Saw an incredible problem posted on twitter today:   Here’s the picture in case it isn’t clear from the tweet:     When my son got home from school I asked him to give it a shot.  The video is over 8 min long, but it shows what a kid struggling through a challenging problem … Continue reading What a kid learning math can look like: struggling through a great geometry problem

What a kid learning math can look like – fraction confusion

My younger son is currently in the review section on percents in his algebra book. Last night he chose a fairly standard problem on percents for our movie. The arithmetic with fractions tripped him up a little, though. The first video shows his struggle: After we finished the problem I decided to propose an alternate … Continue reading What a kid learning math can look like – fraction confusion

What a kid learning math looks like – a challenging base problem

My younger son has been working through Art of Problem Solving’s Introduction to Number Theory book this summer. The topic for the last few weeks has been arithmetic in different bases. Today he can across a problem that gave him a lot of trouble. He worked on it alone for about 15 minutes and then … Continue reading What a kid learning math looks like – a challenging base problem

What a kid learning math can look like – struggling with a geometry problem

The problem my son wanted to work on this morning seemed fun to me: A right triangle has hypotenuse 8 and area 8, what is the perimeter of this triangle? The combination of algebra and geometry required to solve this problem gave my son some trouble. The first three videos below show his thought process … Continue reading What a kid learning math can look like – struggling with a geometry problem

What a kid learning math can look like – different bases edition

My younger son is working his way through Art of Problem Solving’s Introduction to Number Theory this summer. He’s currently learning about different bases and how to convert from base 10 into those other bases. A few days ago he wondered about how multiplication would work. Yesterday we worked through one example and was a … Continue reading What a kid learning math can look like – different bases edition

What a kid learning math can look like – similar triangles

My older son is reviewing geometry this summer using Art of Problem Solving’s Introduction to Geometry book. He’s been choosing pretty challenging problems for our movies, too. Today’s was a “star” problem in chapter 4. I thought his work was a nice illustration of what a kid learning about similar triangles can look like. Here’s … Continue reading What a kid learning math can look like – similar triangles

What a kid learning math can look like – congruent triangles

My older son is reviewing Art of Problem Solving’s Introduction to Geometry book this summer. Today he was working on problem relating to similar triangles, and the problem he picked for our movie was a fairly plain vanilla similar triangles problem: The first part of the problem when smoothly, but the second part gave him … Continue reading What a kid learning math can look like – congruent triangles