Dylan Kane
@dylanpkane.bsky.social
teaching, math, teaching math
Get Students Thinking, Consequences Edition
We learn what we think about
fivetwelvethirteen.substack.com
April 15, 2025 at 12:48 PM
"Just Enough" Sets of Word Problems
Students learn what they think about
fivetwelvethirteen.substack.com
April 8, 2025 at 12:47 PM
A Little Theory
Quick thoughts on adult learning vs student learning
fivetwelvethirteen.substack.com
April 6, 2025 at 2:47 PM
A Fun Problem
You can do a lot with a piece of paper
fivetwelvethirteen.substack.com
April 1, 2025 at 12:49 PM
The Motivation Fractal
Success leads to motivation
fivetwelvethirteen.substack.com
March 25, 2025 at 11:41 AM
Patience
The joys of middle school
fivetwelvethirteen.substack.com
March 11, 2025 at 12:53 PM
Videogamification of Learning
The costs of learning from a screen
fivetwelvethirteen.substack.com
March 5, 2025 at 12:11 AM
The Power of Preteaching
Don't play catch-up, preteach instead
fivetwelvethirteen.substack.com
February 11, 2025 at 1:33 PM
Soulless Teaching
What it is and where it comes from
fivetwelvethirteen.substack.com
January 28, 2025 at 1:51 PM
Reflecting on explorations in math place, and something called the Rosenthal Prize:
fivetwelvethirteen.substack.com/p/exploratio...
fivetwelvethirteen.substack.com/p/exploratio...
Explorations in Math Class
Quality over quantity
fivetwelvethirteen.substack.com
January 21, 2025 at 1:13 PM
Reflecting on explorations in math place, and something called the Rosenthal Prize:
fivetwelvethirteen.substack.com/p/exploratio...
fivetwelvethirteen.substack.com/p/exploratio...
The Curriculum Fidelity Fad
What it is and how it will end
fivetwelvethirteen.substack.com
January 14, 2025 at 12:53 PM
The Boogeyman
Things that are hard to talk about
fivetwelvethirteen.substack.com
December 17, 2024 at 2:20 PM
New post: conceptual understanding doesn't happen all at once.
fivetwelvethirteen.substack.com/p/conceptual...
#iteachmath #mtbos #edusky
fivetwelvethirteen.substack.com/p/conceptual...
#iteachmath #mtbos #edusky
Conceptual Understanding Doesn't Happen All At Once
It happens slowly, in bits and pieces
fivetwelvethirteen.substack.com
December 10, 2024 at 2:18 PM
New post: conceptual understanding doesn't happen all at once.
fivetwelvethirteen.substack.com/p/conceptual...
#iteachmath #mtbos #edusky
fivetwelvethirteen.substack.com/p/conceptual...
#iteachmath #mtbos #edusky
I sometimes hear people say we shouldn't be teaching students to be human calculator. In your opinion, which should a student be able to solve without a calculator at the end of 8th grade?
3 x 4
32 + 19
100 - 11
18 x 7
83 x 14
1268/4
50% of 18
8% of $40
14.50 - 3.75
3.95 x 15
-5 + 3
12 x -2
Why?
3 x 4
32 + 19
100 - 11
18 x 7
83 x 14
1268/4
50% of 18
8% of $40
14.50 - 3.75
3.95 x 15
-5 + 3
12 x -2
Why?
December 9, 2024 at 8:46 PM
I sometimes hear people say we shouldn't be teaching students to be human calculator. In your opinion, which should a student be able to solve without a calculator at the end of 8th grade?
3 x 4
32 + 19
100 - 11
18 x 7
83 x 14
1268/4
50% of 18
8% of $40
14.50 - 3.75
3.95 x 15
-5 + 3
12 x -2
Why?
3 x 4
32 + 19
100 - 11
18 x 7
83 x 14
1268/4
50% of 18
8% of $40
14.50 - 3.75
3.95 x 15
-5 + 3
12 x -2
Why?
What is a good, concise, student-friendly definition of "integers"? #mtbos #iteachmath
December 3, 2024 at 7:04 PM
What is a good, concise, student-friendly definition of "integers"? #mtbos #iteachmath
Hemingway and negative numbers: fivetwelvethirteen.substack.com/p/hemingway-...
#mtbos #iteachmath #edusky
#mtbos #iteachmath #edusky
Hemingway and Negative Numbers
Experience and learning
fivetwelvethirteen.substack.com
December 3, 2024 at 2:47 PM
Hemingway and negative numbers: fivetwelvethirteen.substack.com/p/hemingway-...
#mtbos #iteachmath #edusky
#mtbos #iteachmath #edusky
I've been thinking a lot about this quote from Ausubel: "The most important single factor influencing learning is what the learner already knows. Ascertain this and teach him accordingly." It connects to the idea that learning is "sticky," learning is easiest when we already know a bit about a topic
November 30, 2024 at 1:06 PM
I've been thinking a lot about this quote from Ausubel: "The most important single factor influencing learning is what the learner already knows. Ascertain this and teach him accordingly." It connects to the idea that learning is "sticky," learning is easiest when we already know a bit about a topic
New blog about how I think tying every little piece of a class to a lesson objective often isn't a good idea.
fivetwelvethirteen.substack.com/p/lesson-obj...
#iteachmath #mtbos #edusky
fivetwelvethirteen.substack.com/p/lesson-obj...
#iteachmath #mtbos #edusky
Lesson Objectives Are Overrated
Not everything has to be tied to the day's goal
fivetwelvethirteen.substack.com
November 26, 2024 at 1:47 PM
New blog about how I think tying every little piece of a class to a lesson objective often isn't a good idea.
fivetwelvethirteen.substack.com/p/lesson-obj...
#iteachmath #mtbos #edusky
fivetwelvethirteen.substack.com/p/lesson-obj...
#iteachmath #mtbos #edusky
New post from me on the expertise reversal effect and why I don't find it very helpful: fivetwelvethirteen.substack.com/p/a-critique... #mtbos #iteachmath #edusky
A Critique of the Expertise Reversal Effect
Or, why experts vs novices isn't a helpful distinction
fivetwelvethirteen.substack.com
November 19, 2024 at 1:33 PM
New post from me on the expertise reversal effect and why I don't find it very helpful: fivetwelvethirteen.substack.com/p/a-critique... #mtbos #iteachmath #edusky
Google Classroom changed the formatting of their calendar and I am scheduling assignments for after Thanksgiving break and I keep clicking from 2024 to 2025 rather than November to December and it is driving me absolutely crazy
November 18, 2024 at 10:33 PM
Google Classroom changed the formatting of their calendar and I am scheduling assignments for after Thanksgiving break and I keep clicking from 2024 to 2025 rather than November to December and it is driving me absolutely crazy