Tim Brzezinski
@TimBrzezinski
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MS & HS math teacher at @esumstweet , independent #MathEd consultant, dad of 4 awesome boys; Views are my own. Isaiah 40:31
Wallingford, CT
Joined January 2014
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Pinned Tweet
Math Teachers!
S2 is about to start for many of us. If you've been wanting to grade the way
@pgliljedahl
describes in "Building Thinking Classrooms" yet haven't had time, now's your chance for a quick start: . More:
@mccainm
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Not a new concept. Yet here, a tangible real-life example that shows why 2^0 = 1.
#MTBoS
#ITeachMath
#algebra1
#math
#MathChat
#exponents
95
873
4K
Would you and your Ss like to play 3D Battleship?
@geogebra
#MTBoS
#ITeachMath
#math
#Lifeis3D
#WhyStayOnlyin2D
20
265
1K
6
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1K
How do I politely tell my son (4th grader)’s teacher know that 100 homework problems is ridiculously excessive while only keeping the “Dad hat” on and the “math teacher hat” off? 🤔
411
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Standard Deviation: Quick intuitive intro and exploration. Here, the length of either pink arrow represents the SD of this data set. What do you notice? What do you wonder?
@geogebra
#MTBoS
#ITeachMath
#statistics
19
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785
Simple, physical example that shows why 2^0 = 1.
#MTBoS
#ITeachMath
#math
#maths
#mathematics
#alg1
#algebra
#mathchat
12
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3
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13
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636
Logarithms are exponents. Nothing more. Nothing less.
Hope this helps my Ss better see this fact for themselves. 👀
@geogebra
#MTBoS
#ITeachMath
#math
#mathchat
19
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13
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Did you know? Hidden inside every square is a 3-4-5 (right) triangle! 😯 How can we formally prove THIS true? 🤔(Source:
@gogeometry
).
@geogebra
#MTBoS
#ITeachMath
#geometry
#proof
#EdTech
#math
#maths
#MathEd
#MathEdTech
#FigureThat
#GeomChat
21
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563
3D
#Battleship
anybody? 😮 Set up your game board (position your ships) & explore & plot right w/in
#AugmentedReality
on your device! 😃 Game boards/setup/how-to: .
@geogebra
#3D
#MTBoS
#ITeachMath
@alicekeeler
#gamification
#math
#maths
#EdTech
#algebra
12
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558
Inscribed angle theorems, made quickly and easily in
@Desmos
#geometry
app:
@desmosclassroom
#MTBoS
#ITeachMath
#math
#mathchat
3
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504
I saw this in one of the cartoons my kids were watching earlier today.
I must admit it’s the first time I’ve seen cartoon math writing that made sense and was correct!
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We don’t need robots. We need critical thinkers. Here’s a detailed explanation as to how
@MathigonOrg
#Polypad
can empower Ss to explore & divide fractions conceptually.
#MTBoS
#ITeachMath
#mathchat
#elementarymath
#ElemMathChat
13
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489
@stevenstrogatz
Here’s an up-close look at this surface in
@geogebra
#AugmentedReality
(older
#iOS
app). If you have an
#iPhone
or
#android
, you can download
#GeoGebra
#3d
Calculator and have an
#AR
view of many of these surfaces explicitly or implicitly written:
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Triangle interior angles.
@geogebra
#MTBoS
#ITeachMath
For a thin slice activity where Ss explore & discover polygon interior and exterior angle sum theorems:
@pgliljedahl
@BTCthinks
#MTBoS
#ITeachMath
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If Pythagoras had regular hexagons. Explore here: . Created in
@MathigonOrg
#Polypad
.
#MTBoS
#ITeachMath
#geometry
3
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Secretly embedded inside every square is a 3-4-5 right triangle! 😮 How can we formally prove this phenomenon true? 🤔 Source:
@gogeometry
@geogebra
#MTBoS
#ITeachMath
#geometry
#math
#MathChat
7
89
397
Teaching
#math
? You're invited to four 2-hr PD sessions that'll help you get started w/using
@geogebra
,
@GraspableMath
,
@MathigonOrg
, &
@Desmos
to engage Ss in fun & meaningful learning! Sponsored by
@IowaMathTeach
.
@davidporas
@MrCorleyMath
More info:
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Absolutely ❤️ the
@MathigonOrg
#polypad
updates! Here, splitting
#algebra
tiles 👇
#mtbos
#iteachmath
#algebra1
#alg1
#math
#mathchat
#alg1chat
3
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387
4
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How to construct the center of a drawn circle without a straightedge or compass. Even better : Asking Ss to prove why this works. 🙂
#MTBoS
#ITeachMath
#geometry
#geomchat
12
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Sine and cosine of a sum & difference of 2 angles. Interactive puzzle student investigation:
@geogebra
#MTBoS
#ITeachMath
#precalculus
#trigonometry
8
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374
Correlation coefficient: Ready-to-use discovery exploration activity:
@geogebra
#MTBoS
#ITeachMath
#algebra
#alg1
0
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3
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357
Simple & conceptual way to solve absolute value equations & inequalities
#MTBoS
#ITeachMath
#algebra
#alg1
#algebra1
6
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368
Interesting phenomenon that occurs in a square. How can we prove what is dynamically illustrated here? 🤔 (Source:
@gogeometry
)
@geogebra
#MTBoS
#ITeachMath
#geometry
#math
#maths
#mathematics
#proof
21
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356
From
@howie_hua
:
“My goal isn’t to show off what I know. My goal is to bring the best mathematician out of you.”
#CAMT23
4
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1
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When it comes to having struggling students work with literal equations, nothing beats
@GraspableMath
! Check out their whiteboard:
#MTBoS
#ITeachMath
5
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#math
Ts: If right triangle trig is nothing more than a SOH-CAH-TOA mnemonic for your Ss, they’re missing out conceptually. If inclined, have them replace their scientific calculator with this app instead: & .
@geogebra
#ITeachMath
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Exterior Angle Collections:
@geogebra
@panlepan
@solvemymaths
@giohio
@gogeometry
@NCTM
@mathhombre
@shskaercher
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Inspired by
@Sneffleupagus
: Another
@geogebra
resource through which Ss can explore areas of triangles:
#MTBoS
#ITeachMath
#geometry
#math
#maths
11
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#TriangleSurprise
! When we build equilateral triangles off 2 sides of ANY TRIANGLE, another equilateral triangle surprisingly emerges! 😮 Why does this occur? 🤔Source:
@gogeometry
. Created with
@geogebra
: .
#geometry
#math
#MTBoS
#ITeachMath
#maths
#EdTech
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1
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Using
@GraspableMath
as a platform to help struggling students work with parametric equations. Here, with eliminating the parameter:
#MTBoS
#ITeachMath
2
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This interactive, created by
@MathTechCoach
, is one of
@geogebra
's most popular resources.
Here, a thin slice activity (7 slices) through which Ss use this very interactive to discover & make conceptual sense of the Pythagorean Theorem:
@pgliljedahl
5
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0
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I really like how
@MathigonOrg
makes
#geometry
Ss' exploration of coordinate plane rotations quite smooth while still having them use the physical tools the same way they would do on paper:
#MTBoS
#ITeachMath
#math
#MathChat
2
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#RealLife
non-math example that illustrates why function composition is not commutative.
#MTBoS
#ITeachMath
7
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Popular
#trig
identity — informal proof illustrator via areas:
@geogebra
#MTBoS
#ITeachMath
#precalculus
3
61
267
Did you know? Naturally hidden inside every square is a 3-4-5 right triangle! Source:
@gogeometry
@geogebra
#MTBoS
#ITeachMath
#geometry
#geomchat
6
68
270
Inverse property of exponential & logarithmic functions: Graphical illustration. &
@geogebra
#MTBoS
#ITeachMath
0
64
257
#Calculus
Teachers: With
@geogebra
3D calculator, you can literally build and walk into those surfaces many students struggle to see! This one:
#MTBoS
#ITeachMath
#APCalc
#APCalculus
2
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263
More messing around in
@geogebra
#3D
: Creating a tube slide whose overall shape is determined a polynomial regression curve. Points moveable and polynomial degree changeable (n = 1 to 4): .
#mtbos
#iteachmath
#math
#augmentedreality
10
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261
Composing 2 functions with the new function machines feature within
@MathigonOrg
#PolyPad
#MTBoS
#ITeachMath
@Amplify
@desmosclassroom
3
81
261
In a triangle, if you draw 6 cevians that end up trisecting all of the triangle's sides, you get this. How can we formally prove this true? Source:
@gogeometry
.
@geogebra
#MTBoS
#ITeachMath
#geometry
#math
#maths
#proof
#MathChat
7
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Battleship with POLAR coordinates! Here, ships can be straight or circular. Come play! 👉
#MTBoS
#ITeachMath
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I am convinced every MS & HS teacher has a sticky note like this attached to their computer, desk, or wall near their desk.
And every teacher knows what these numbers mean.
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Here’s the very first complex
@geogebra
animation I ever made. It was about 6 years ago. Took forever. Looking back, it’s still one of my favorites. &
#MTBoS
#ITeachMath
#geometry
5
48
232
Will it be
#NothingButNet
?
#ComingSoon
(NOV or DEC):
@geogebra
#3D
activity & investigation where Ss modify quadratic parameters (&/or hoop H & basketball R) to analyze cases for which the basketball won’t even hit the rim or backboard!
#MTBoS
#ITeachMath
#math
#maths
#EdTech
12
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59
232
Anybody up for a game of 3D
#Battleship
? Pretty soon, we’ll be able to interact with objects entirely within the AR realm! Coming soon to an update to
@geogebra
#3D
(with
#AugmentedReality
). For now: .
#MTBoS
#ITeachMath
#Gamification
#math
@alicekeeler
10
65
221
Exterior Angle Collections: REVAMPED! Modify at
@geogebra
@panlepan
@solvemymaths
@giohio
@gogeometry
@NCTM
#MTBoS
1
112
227
27
34
221
Here, 4 opportunities to learn how
@geogebra
,
@GraspableMath
,
@MathigonOrg
, &
@Desmos
can dynamically transform your math class! Sponsored by
@IowaMathTeach
. More:
@MathTechCoach
@EMasslich
@techknowmath
@edaydemir
@davidporas
@kathyhen_
@MrCorleyMath
4
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1
45
221
My 5y old son asked me to teach him how to play
#chess
. He’s picking it up quickly! And our 2y old son is the reason why we continue to buy replacement pieces. ♟
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