Adrienne Hestenes

@ahestenes.bsky.social

Math, books, crochet. #MTBoS #ITeachMath

I didn’t feel like I connected with my students as well this year. Then #inMathsToday a student handed me a thank you letter on her way out. It was a full handwritten page describing her positive experience with the class. I was floored and had no idea my impact on her. This letter is a keeper!

In #MathsToday we had success discovering the log properties. I had students use a log table to find all the ways to combine logs to equal log2, which led to them noticing the loga-logb=log(a/b) property. Then they looked for ways to make log12 (which led to discovering the product property.

In #MathsToday we used the Koch Snowflake to review writing exponential equations from data. Students then discussed what the end behavior would be for the equation of the perimeter. The kids enjoyed hearing how this was thought “abominable” by mathematicians when first discovered.

Student whiteboard work which shows an attempt at drawing the Koch snowflake.  Start with a triangle, divide each sides into thirds, and replace the middle third with a new equilateral triangle, then repeat.  Below the Koch Curve is a table which records the number of sides in column one, the length of a side in column 2, and the third column will hold the perimeter, but is currently empty.  The rows represent the iteration.  Below the table the students are working on are some multiplication calculations.  Student white board work shows a table with the following columns; stage number, number of sides, side lengths, and perimeter.  The stage nUmber column contains 0, 1,2,3,n.  The number of sides column contains 3,12,48,192 and the function 3(4^n).  The side lengths column contains 1,1/3,1/9,1/27, and the function 1/3^n.  The perimeter column contains 3,4,48/9,7 (sic), and the function 3(4^x)/(3^n).

In #MathsToday I had all the students at the whiteboards and asked them to solve ax^2+bx+c=0 by completing the square. They were so surprised to get the quadratic formula as their answer, and then they were proud they had derived this mystical formula without even realizing they were doing it.

a heart with the words " quadratic formula my beloved " written on it

Alt: a heart gif opens up with the words " quadratic formula my beloved " written on it

media.tenor.com

Something that went well in #MathsToday was a personal victory for me. I’ve been trying to draw a particular student out, and today she volunteered to share her unique approach to solving a quadratic visual pattern. It’s always wonderful when the quiet voices speak up. 👍

Catriona Agg@catrionaagg.bsky.social · 7mo ago

By the way, why not make your New Year’s resolution be to start sharing little things that went well in your maths lessons using #MathsToday? Whenever I make a habit of this, it always makes me feel more positive about my job. It’s lovely to scroll through and see what everyone else is doing too.

Completing squares in #MathsToday and came to learn not a single student in class had ever used algebra tiles. Thank goodness for polypad! Quickly had students geometrically completing the square. You can even cut the algebra tiles in half and solve problems with fractions.