Teaching Geometry Proofs | Teacher Chat

How I teach proofs has really evolved over the last 8 years, and last year I tried quite the experiment with teaching proofs. Watch this video to hear about what I tried in the past, and how I taught proofs this year, and why.

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[TheGolfMasterDad]

I think the problem might be teaching mathematical proof and geometry at the same time in a geometry. If the students had a background in mathematical proof, which I didn’t even get as an undergrad. It would be much more productive in geometry. Saving proofs for later is intriguing since there is much geometry that can be learned without proofs

[managerruss]

Same proofs are HARDCORE! Like you I did not see them until college. Brutal. Big ups too you for introducing it in high school

[sachchidanandyadav]

Hello mam I am from India i like your class

[bettydavispruitt]

I am taking calculus and I am stubborn and did not want to take precalculus. I feel lost but i have a couple of weeks to cram before class. I barely remember geometry…where should I begin?

[MrKidgavilan]

I think the way to go in high school geometry is to combine types of proofs: paragraph, formal, sketch of proof etc. Proof are for mathematicians. The intuitive side of the subject must also be develop, in projective geometry exercises, discrete geometry problems ( counting, enumerating sets of points and or solutions ). The year curriculum should not be linear like the textbooks of the past 50 years: the curriculum should introduce lot of general ideas at the beginning and slowly be enrich with new content, ie, circles can be teach right at the beginning and their inscribed polygons will be the introduction to other general concepts like congruence and similarity. Experimentation and formalization, methods combines. Use of trigonometry since the definition of sin, cos, and tan; introduction of vectorial geometry in its geometric side as well as their logico- algebraic expressions.

[nangle]

I am a medical student who studying anatomy but I think ...geometry is very important ...in our life so I watch this ....

[djthereplay]

Happy Thanksgiving +Brianne Beebe !!
- Dwight

[themostgraciousqueenmarger]

Please look up GAGUT. You are amazing by the way.

[zavijah]

I love using your INB inserts, thank you. I introduce proofs early. These are very easy proofs, such as two- to four-line proofs. We start with parallel lines and angles.I believe if we introduce proofs early and have many proof examples and assignments for most topics, students become familiar with them and the proof process is less intimidating. I also demonstrate many solutions in a informal two-columns proof format. The students don’t realize that they are seeing a proof, until later. I am an old school teacher, started teaching at 37 and am now 55. But I remember Geometry class being taught mainly by proof and constructions. I understand why it’s not taught that way now...too structured...but I hold on to making proofs a part of “everyday” geometry.

[daramccreary]

Thank you for sharing how you teach proofs. I picked up a thing or two from your video. I also teach proofs throughout the year. I introduce proofs with UNO Proofs (available on TPT, I like it because this activity gives them the concept of statements and reasons). In their notes for each lesson I give them when to use each reason in words and what reasons they will see in the proofs that follow. I would like to see your cheat sheets for this, and how they compare to mine. The next thing I did was create an Excel spreadsheet for each type of reason. Ex. 1. X is the midpoint of BT, 1. Given, 2. They should fill in the blank with BX=BT, 2. They should fill in this blank with Definition of Midpoint. I created 10 problems for each reason so that they could practice seeing them. This is about as simple a breakdown as I could make them. This seems to have an impact for even my lowest modification students. It is a little low for some students, however. So, I am faced with the very same things you are. Some students get it right away, some students get it with lots of practice, and a few never really get it, AND is this a good trade off of time versus content?

[renuangira]

Can you share the link where you got these proofs from in order to make the cards /task

[ryanfaulkner]

That’s sounds awesome😀👍🏻. That’s good the cards help them if there stuck on something but it happens😂. My math 3 teacher did something different and it would be missing a step. I’m taking math 4 next semester or my last math because I took math 1 in 9th grade so I’m ahead!