What's an Ion?

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  • Опубликовано: 24 мар 2012
  • To see all my Chemistry videos, check out
    socratic.org/chemistry
    Confused about ions? We'll learn the difference between an atom and an ion. Ions are formed because of a net charge on an atom, because the number of protons and electrons do not balance. This means that the atom is no longer electrically neutral, but is a cation or an anion. We also talk about polyatomic ions.

Комментарии • 1,3 тыс.

  • @invictus1180
    @invictus1180 4 года назад +800

    A prime example of Einstein's Quote of
    "If you can't explain it simply, you don't understand it well enough."

    • @olovk3799
      @olovk3799 4 года назад +6

      You don't think he explained it simply?

    • @invictus1180
      @invictus1180 4 года назад +80

      @@olovk3799 No, I'm saying he has a very thorough understanding of every topic he's done. This is shown as he's able to easily and very eloquently help students understand topics they were previously hazy on.

    • @maran363
      @maran363 3 года назад +25

      Or that our teachers don’t understand it so we have to go to youtube to figure it out.

    • @candykane6937
      @candykane6937 3 года назад +1

      Invictus me trying to explain art: *huh..*

    • @sciencevideo2111
      @sciencevideo2111 3 года назад

      E
      Zx. Texn

  • @reynareyes8249
    @reynareyes8249 7 лет назад +1572

    when you learn more from a RUclips video than in your chem classroom. I love American education

  • @budekins542
    @budekins542 9 лет назад +1778

    At last someone speaking in plain English.

    • @anushkapandey4957
      @anushkapandey4957 7 лет назад +9

      😂😂😂😂

    • @sumeyaali145
      @sumeyaali145 6 лет назад +4

      👊🏾👊🏾👊🏾🤣🤣🤣

    • @schoolboy5553
      @schoolboy5553 6 лет назад +2

      bud ekins

    • @2f5p9
      @2f5p9 6 лет назад +1

      Sobhan Complex 😂

    • @greekfire7980
      @greekfire7980 6 лет назад +2

      bud ekins Finally* you mean... why would you want someone that speaks plain English when you yourself can't speak it properly...?

  • @themunce1
    @themunce1 8 лет назад +431

    For someone who knows absolutely nothing about chemistry (ME). And listening about in our classroom lectures and reading the text book, I've still get mixed up to a degree about how all the mechanics work together and why. So Hallelujah for You Tube and your many different presentation! You've made it easier for me to understand how all this is put together. Thank you for your time, passion, and your great teaching skills. You will be the place I go to in getting a better understanding of chemistry. Even though I am taking a biology class, we have chemistry mixed. Again, Thank you. you've made this so much easier for me. Keep up the great work. I will for sure pass your name around for those who are or may be struggling with the terms and functions of chemistry.

    • @tdewitt451
      @tdewitt451  8 лет назад +113

      Thank you so much! Your kind comment means the world to me!

    • @dillonlaishram
      @dillonlaishram 8 лет назад +10

      +Tyler DeWitt Yeah thanks for the thorough explanation! I can really understand better from your videos! Thanks!

    • @ernestopanza4194
      @ernestopanza4194 8 лет назад +2

      +Jeff Munce Use your school's resource center too have if you have access.

    • @rocketrasslin189
      @rocketrasslin189 7 лет назад +28

      Keep doing what you're doing man! Saving students one video at a time.

    • @TheMemeBorrower.
      @TheMemeBorrower. 7 лет назад

      Jeff Munsen why such a long paragraph

  • @PIRAKAS666
    @PIRAKAS666 7 лет назад +272

    Damn, you are very good at explaining. Impressive.

  • @bethegod
    @bethegod 10 лет назад +312

    I wish you were my teacher.

  • @girlpower8582
    @girlpower8582 8 лет назад +920

    if you are teacher, all of your students would get 100 lol

  • @princess-ub4uj
    @princess-ub4uj 8 лет назад +12

    I've been so lost in science lately and I had no idea what anything was. THIS IS A LIFE SAVING VIDEO thank you for explaining so well

  • @jovanrodriguez7796
    @jovanrodriguez7796 9 лет назад +22

    You the best yo i swear to god, i lost all hope in chem until you appeared like a light shining down from heaven

  • @reyrodz218
    @reyrodz218 9 лет назад +17

    An amazing lesson. I believe in your creativity to teach others. The nation needs educators like you.

  • @Nothing-zi8dt
    @Nothing-zi8dt 3 года назад +2

    "I JUST WANNA SAY YOU EXPLAIN SO WELL",TALK SO WELL ,TEACH SO WELL AND I JUST WANNA SAY THANK YOU,THANK YOU,THANK YOU,THANK YOU,THANK YOU,THANKYOU,THANK YOU,THANK YOU YOU YOU YOU YOU YOU YOU YOU YOU YOU YOU OOOOOOOOOO SOOOOOOOOOO SOSOSOSOSSOSOSOSOSO MUCH!!!!!!!!!!!!!!!!!!!!!!

  • @AXH6666
    @AXH6666 7 лет назад +48

    Thanks a LOT! You make it really easy to understand!

  • @retoblubber
    @retoblubber 10 лет назад +12

    5:15 "cats have paws - and a cation is pawsitive" .. that's a good one

  • @eunhastolemyheart6098
    @eunhastolemyheart6098 2 года назад +3

    My science teacher is literally in love with you and makes us watch all your chemistry videos lmfao, I'm not complaining bc your video explains very well and I actually understand what you're talking about.

  • @richardvalliere1421
    @richardvalliere1421 5 лет назад +1

    Young man, I am a retired HS Chemistry teacher, now working as a facilitator/teacher for a homeschool organization. You are my go-to guy (a superb teacher) after I teach my kids for a day. I'm glad you do what you do!

  • @albasalgado1639
    @albasalgado1639 5 лет назад +1

    I took Biology 101, I did not understand to the professor about Bio or Chemistry. I am learning a lot with your videos, even laughing in the middle of the learning, because how natural you teach and give vocabulary and how not forget the words. you are awesome. Thank you really are helping students who do not learn with the professor who are not any good.

  • @kellydouglass7869
    @kellydouglass7869 9 лет назад +34

    I thank the heavens everyday for your existence. Without you, I would not be doing so well in chemistry. Thank you so much! :)

  • @ashvandal5697
    @ashvandal5697 9 лет назад +103

    The thing I don't understand at all: Is why the !#@$ is classroom chemistry made SOOOOOOO much more difficult than it needs to be? This is more than enough theory for the average science non-chemistry major. Why is every chem class, including basic general chem, taught to the idea that everyone in the class is going to be chemists? Also, why can't chem professors teach more like this guy?

    • @ilovecanines
      @ilovecanines 6 лет назад +8

      Two reasons 1) It is a screening/weeding out course (I didn't say I agree, but at least that's the way it used to be, and 2) Many people who are good at understanding science don't have the skills to teach it.

    • @maybewise
      @maybewise 5 лет назад +5

      It's definitely not taught with the idea that everyone's gonna be a chemist. I think it's more so taught with idea of "Most of you are gonna fail anyway. So I'm not gonna waste my time dumbing it down for you."

  • @DebbieRobertsFaith
    @DebbieRobertsFaith 8 лет назад +1

    I'm taking Anatomy and Physiology as a General Education course after many years and returning to school. Your videos are tremendous. I'm a visual person and learn best that way. Your presentation, explanations, added examples, and clear description are a great help to my class. Thank you so much for taking time to present these.

  • @andrearterry1
    @andrearterry1 3 года назад +2

    I just want to thank you for doing these videos. You have really saved me. I find Chemistry to be so intimidating and you have made it understandable for me. I literally don't know what I would do without these!

  • @ynlindo
    @ynlindo 8 лет назад +3

    I didn't think it was possible to ever understand Chemistry. OH MY GOD, THANK U SO SO MUCH. I took a chemistry course in my junior year of college and learned nothing. What seemed so hard is now easily understood. The value of a good teacher is PRICELESS!!! THANK YOU!!

  • @StephanieMartinez-nr3iz
    @StephanieMartinez-nr3iz 8 лет назад +3

    I have never taken Chemistry and I am a sophomore in college. My first Chem lesson hit me in the face on my Anatomy and Physiology class. I am completely lost due to no Chem background whatsoever, but thanks for your videos !! They really helped me a lot!!!!

  • @luk45ful
    @luk45ful Месяц назад +1

    He's just so good at explaining chemistry concepts! This is what teaching really is

  • @crimsonseraph3543
    @crimsonseraph3543 5 лет назад

    By far you are the best teacher for breaking down abstract ideas into understandable, witty and easy to remember ways. Thank you for that, God bless

  • @infinityman90000
    @infinityman90000 6 лет назад +5

    You made me learn this so freaking fast, thank you so much! Love your videos man! keep it up 👍🏻👍🏻

  • @Leah-fd8kw
    @Leah-fd8kw 7 лет назад +20

    you saved my life 😭😭😭, our teacher is bad at teaching, but this was so clear and understandable. thank you soooo much!!

    • @user-yp2kp1mj2q
      @user-yp2kp1mj2q 5 лет назад +2

      yea, my teacher just hates it when i ask her a question
      she's so annoying

    • @ajnur4466
      @ajnur4466 3 года назад +1

      @@user-yp2kp1mj2q same ;-;, but im online

  • @barrycrump6189
    @barrycrump6189 3 года назад

    I wished that my teachers were more like you and then I would have gained a better understanding of my physics and chemistry classes. Thank you for making it all perfectly understandable.

  • @ilianamendoza5005
    @ilianamendoza5005 6 лет назад

    The way you explain Chemistry, makes the subject bearable to learn and understand! Thank you!

  • @tiffanyleann8935
    @tiffanyleann8935 9 лет назад +91

    YOU ROCK!!! Making lives easier by teaching effictively!! PAWSitive:):)

  • @allegrahuntley1816
    @allegrahuntley1816 2 года назад +6

    6 minutes taught me more than in 10 weeks of online learning

  • @abigailkooima813
    @abigailkooima813 8 лет назад

    I just started chemistry this year and I really am loving your videos because they help me understand a lot better! thank you!!

  • @nzubechichinedu160
    @nzubechichinedu160 8 месяцев назад +1

    This is the best chemistry lessons I have ever taken. I never knew this is what ions are all about.
    Thanks so much for this video.

  • @loganlarocque9827
    @loganlarocque9827 8 лет назад +8

    Professor Tyler, I don't understand how transition elements have multiple charges. For example, how can iron have a 2+ and 3+ charge? And what do the Roman numerals mean on the periodic table of ions?
    Your help will be greatly appreciated, thank you.

  • @Rom-zt9cm
    @Rom-zt9cm 3 года назад +8

    This guy explained in 6 minutes, what my professors were struggling with, in an hour.

  • @sophiawinston3685
    @sophiawinston3685 9 лет назад +1

    WOW!!!! I learned a lot in 6 mins. More than I have learned in an hour sitting in class...Keep up the good work!

  • @wn3329
    @wn3329 6 лет назад

    This is a good example of how good teacher can easily help understand the difficult topic. Thanks for your great work!!

  • @blightu
    @blightu 7 лет назад +39

    5:16
    ...you weren't kidding when you said it was cheesy

    • @LlamaDrama142
      @LlamaDrama142 7 лет назад +2

      Debbra Hill-Frank ohhh you are just as cheesy 🙈 I can't take all this cheese

    • @ratnakayastha9171
      @ratnakayastha9171 6 лет назад +1

      Wakanda Knuckles then take me to the wae

    • @qr6251
      @qr6251 5 лет назад

      i laughed

  • @necronorris
    @necronorris 7 лет назад +4

    I was directed here by my bio professor and for good reason! Love your videos!

  • @KimDaddyO
    @KimDaddyO 7 лет назад

    Just a good job. I was going through this with my daughter yesterday, and now that I see this, it will be much easier to get her up-to-speed. THANK YOU!!

  • @sonjapeterson8064
    @sonjapeterson8064 4 года назад

    The way you teach, is so easy to understand and just instantly "clicks"! Thank you so much!!

  • @cassandrakeithley1402
    @cassandrakeithley1402 10 лет назад +42

    OMG, you have made this make so much sense. I was really struggling to understand this, but i understand now. Thank you!

  • @kebabsters6922
    @kebabsters6922 9 лет назад +4

    Thanks allot all your videos are great. You should consider a teaching career and then come and teach at my school :)

  • @jemimabrown528
    @jemimabrown528 2 года назад +1

    This video has made it to 2021, it’s been 7 years and your still helping students this helped me in my test so thank you

  • @kanelic
    @kanelic 7 лет назад

    Thank-you! I'm studying Chemistry, Biology and and Physics from home , and your videos really help me understand it in a simple way. In a way the books don't.

  • @meloniejen5864
    @meloniejen5864 7 лет назад +122

    Who's ded over the cat paws thing

    • @MrDomonin
      @MrDomonin 7 лет назад +11

      i just LOL, so cheesy but definitely something Il remember now

    • @meloniejen5864
      @meloniejen5864 7 лет назад +3

      Oni Ologeanu ikr XD

    • @RoboEpic
      @RoboEpic 5 лет назад +1

      yeah lol

    • @hudaniel3213
      @hudaniel3213 4 года назад +2

      i will never unremember it its so CHEESY

    • @bramboeren3281
      @bramboeren3281 3 года назад

      I high fived my face lol

  • @isaumatzir7527
    @isaumatzir7527 5 лет назад +29

    Wow! All this comment were like 2-4 years ago. 2019, Anyone ?

  • @Jo-il3rr
    @Jo-il3rr 2 года назад

    I am so happy I found this, going back to school after 13 years and I have a feeling I will be watching all of your videos. Thank you!

  • @sarahblakeman3110
    @sarahblakeman3110 9 лет назад

    Your videos help me to understand everything I've been trying to understand about science for the past year! Thank you for these videos!!!!!! Wish I would have found you while I was in the actual classes because you explain everything in 10 minutes that my teachers tried to explain in months! Studying for my TEAS now and finding your videos so helpful!!!!

  • @madisunr.6165
    @madisunr.6165 6 лет назад +4

    He makes everything seem more simple than what my teacher teaches and I love it!

  • @MsErod1
    @MsErod1 8 лет назад +4

    Wish my teacher taught like you! The paws got me, I'll never forget now😂

  • @aadler5837
    @aadler5837 6 лет назад

    Thank u for explaining in comprehensive English!!!! I didn't take chem but now I'm taking advanced biology and chem is the building blocks of it and u explained it sooooo well!!!! Ur the best tutor RUclipsr!!!!

  • @thutokamogelo5267
    @thutokamogelo5267 4 года назад

    Mr. Tyler Sir. I am honestly very great ful for your awesome videos. I use to hate chemistry but you are definatly bringing the spark back.Thanx

  • @marks7754
    @marks7754 9 лет назад +20

    You have successfully taught me something. You get a like.

  • @ufotofu9
    @ufotofu9 9 лет назад +9

    I love the teaching that you do here, let me first say that. But the representation of an Atom, with the Nucleus being orbited by Electrons, is such a distorted picture of what an Atom really is that I'm afraid it gives people the wrong idea of what an Atom really is.
    I know that it's fine for educational purposes, but I wish educators would use a different way to represent a simple picture of the idea of an Atom that does't misrepresent the truth about Atoms and doesn't give people the idea that electrons can even be seen in there orbitals, as opposed to being in probability clouds.
    Again, not your fault, but maybe you should at least remind people that this is a simplified picture of an Atom, and is not drawn to scale.

    • @tdewitt451
      @tdewitt451  9 лет назад +40

      These are all good points. Usually when I show a Bohr atomic model, I mention that it's a very simplistic model of the atom and not entirely correct. I'm sorry I forgot to say that in this video.
      Still, I think it's important to remember that we can always add detail, nuance and precision to students' technical understandings later on, but we have to initially present material in a way that is fundamentally understandable to young learners. Because at the end of the day, every explanation of science is a simplification. The common conception of a quantum mechanical model of an atom is a crude representation compared to the more sophisticated model suggested by, say, the normalization of electron wave function eigenvectors. Even that model is a simplification compared to what is known by the actual scientists performing the experiments, and the model changes with each new piece of information that is discovered.
      But the point is, I feel we each rely on the simplification that is appropriate for our needs. A nuclear physicist needs to rely on the most sophisticated of models, and she is well equipped to understand and reason with it.
      But for students just starting out in Chemistry, who can barely comprehend the concept of an atom, I don't know how much precision is needed. I'm not saying that it's not important,
      I'm honestly saying I don't know how much is too much or not enough.

    • @puddlenesta
      @puddlenesta 8 лет назад +2

      +Tyler DeWitt
      Fantastic answer Tyler . A true teacher.

    • @retrogaming8-bit899
      @retrogaming8-bit899 8 лет назад

      +m cornish shhhh he is busy

    • @ocivdelos2335
      @ocivdelos2335 8 лет назад

      +Geoffrey Zoref oh com'on it doesn't matter as long as you get the whole idea.

    • @iishadowii7477
      @iishadowii7477 8 лет назад

      their* :3

  • @annaelrick7930
    @annaelrick7930 3 года назад

    By far the best explanation of this I could find. Thankyou!

  • @brendawilder9018
    @brendawilder9018 3 года назад

    Tyler you are the greatest. You explain in a way a student can understand and not be confused. Thank you for helping us.

  • @jaidonhodge451
    @jaidonhodge451 3 года назад +3

    but isn' t a group of atoms called molecules or compound?

    • @medootamer7846
      @medootamer7846 3 года назад

      Yeah dude but like what he means here is ions: a group of atoms with a charge

  • @hamzamalick6787
    @hamzamalick6787 7 лет назад +9

    Summary of this video! Hope this helps and good luck in school everyone:)
    An Ion is an atom or a group of atoms (Polyatomic ion=group of atoms that have a charge) with a charge (when loses or gains electrons and does not balance protons or electrons) and is not neutral (no charge with equal amounts of protons and electrons). That atom can be called a cation (Positive Ion= More Protons Then Electrons) or an anion (Negative Ion= More Electrons Then Protons).

  • @thomasvarghese6319
    @thomasvarghese6319 7 лет назад +1

    Thanks a lot to this brilliant Teacher, who can make complex matters so easy by his simple and impressive presentation, especially for those who feared and hated Chemistry because of the unskilled teachers who could only reproduce the sentences in the book without the creativity and imagination to break into smaller chunks of chocolates.
    He is indeed a blessing to all the Chemistry students, who were taught by boring teachers who just fly through the explanations, without the proper skills.

  • @nicebaabbad2770
    @nicebaabbad2770 8 лет назад

    Thank you Tyler for your time and for the thorough explanation you really helped me to made sense of terms I had been hearing it since secondary school and their meaning always foggy in my head.You are a great teacher

  • @multivitamin425
    @multivitamin425 9 лет назад +17

    Onion

  • @sanchicho
    @sanchicho 9 лет назад +30

    Wait, where is your camera?

  • @Youtubegamez702
    @Youtubegamez702 4 месяца назад +1

    I've just read eight different explanations of what an ion is, and none of them made complete sense. Well done for your excellent explanation! Also, I love the way you use notes/drawings on paper for presenting it, it's refreshing and visually very interesting. Thank you for your excellent work!

  • @last6124
    @last6124 4 года назад

    A very well detailed video. It included all the specifics, most chemistry teachers don’t involve. Well done 👍

  • @shahdashraf7157
    @shahdashraf7157 8 лет назад +8

    the way you are talking is cute and nice

  • @Scarameowing
    @Scarameowing 9 лет назад +6

    I love you very much!!! Thank you!!!! XD And I like tht, 'PAWSITIVE' lol

  • @soniaderas749
    @soniaderas749 7 лет назад

    I absolutely LOVE your teaching method. Please, keep it up!

  • @danacastillo6533
    @danacastillo6533 7 лет назад

    you are seriously the best Teacher in the word and a life saver i'd rather watch your videos than my professors dull power points. It is so much easier to learn because you keep it interesting. Thank you so much for your help.

  • @itsManuval
    @itsManuval 9 лет назад +23

    Can your hands stay put on something

    • @tdewitt451
      @tdewitt451  9 лет назад +112

      Manuval No! Sorry!

    • @JMCool78
      @JMCool78 8 лет назад +1

      +Tyler DeWitt But can you turn them some how? because when you move your left hand in the frontal view the right hand in the top view is moving, it can be iritating.

    • @iishadowii7477
      @iishadowii7477 8 лет назад +36

      +JMC CMJ really dude, the important thing here is the lesson not his hands

    • @mayfia
      @mayfia 5 лет назад +1

      @@iishadowii7477 right? Honestly

  • @audreypadpad1918
    @audreypadpad1918 5 лет назад +3

    i love how he says "ahh-yon"

  • @MrsStefim
    @MrsStefim 5 лет назад

    I’m loving you so much because of your way of teaching, you’re saving me. Thanks for sharing your gift of passing knowledge in such a way.

  • @vlz7393
    @vlz7393 9 лет назад

    The way yo explain it make So Much more sense then how teachers now-a-days tech! thankyou for your videos and great teaching skills!!!

  • @sundayraver
    @sundayraver 10 лет назад +5

    onion - a negatively charged onion

  • @digikrypt3566
    @digikrypt3566 6 лет назад +3

    why tf is chemistry so hard

  • @bettyspyler3864
    @bettyspyler3864 6 лет назад +2

    Your teaching has been so incredibly helpful! Thank You

  • @coachashcoop
    @coachashcoop 9 лет назад

    Thank you so much for helping me understand what I couldn't in class!! You are a life saver, my test is on Wednesday!

  • @shahfaisal2585
    @shahfaisal2585 9 лет назад +8

    Hahaha Paws-itive hahah

  • @TheRanaTouseef
    @TheRanaTouseef 4 года назад

    This is my first chemistry video ever watched, and I did not need to learn some basics to get what an ion is.
    Very well explained, Thank you

  • @doublemg23
    @doublemg23 4 года назад

    Tyler back at it again with the easy to understand explanations. My guy for real

  • @brandygray2460
    @brandygray2460 8 лет назад +1

    You posted this in 2012- to day is Sept 2015-- Still learning from it- thanks for keeping it simple- I finally get it!

  • @catalinag7255
    @catalinag7255 Год назад

    You are amazing at explaining. Thank you so much for breaking it down for someone that chemistry is a foreign language
    . Thanks again.

  • @arthurebel6392
    @arthurebel6392 7 лет назад

    Dude, you're brilliant!!
    This is the easiest and best video on how to learn about this topic.
    Seriously, thank you. You kept me up and on the edge of my seat the whole time.
    Thank you!

  • @hadaroshkedi1
    @hadaroshkedi1 7 лет назад

    every video you make helps me to have a better comprehension of these basic terms. thank you

  • @philipalejado1986
    @philipalejado1986 7 лет назад +1

    Omg. Thank God I've discovered this, I thought I was doomed to fail the subject. I think I'm starting to understand things. You're really fun to listen to, I wish there was a Trigonometry version of this. Also... sorted. Kinda confused what I should learn before or after... maybe I'm doing it the wrong way. Anyway, thank you very much. This helped me a lot.

  • @Galincik
    @Galincik 7 лет назад

    RUclips and all college students are so blessed to have you! We will be getting to know each other for the next six years of my life. Thank you so much for your videos i hope you know how much we appreciate you taking the time!

  • @laraaracely2364
    @laraaracely2364 8 лет назад

    Your teaching method and explanations are beyond wonderful. Very easy to follow and understand. Thank you so much!

  • @kaysers428m7
    @kaysers428m7 Год назад

    I just started a Biology class. I had to learn about Ions. I was not understanding Ions at all until you explained it. Thank you!

  • @humphreyanumbuaseh570
    @humphreyanumbuaseh570 5 лет назад

    i love your explanation you break every thing down to detail

  • @celestenicoleswart3744
    @celestenicoleswart3744 5 лет назад

    So appreciative of your videos. The way that you teach makes me excited about chemistry!

  • @nicolesnyder6818
    @nicolesnyder6818 3 года назад

    A gifted communicator and amazing teacher. Thank you.

  • @alecewilliams8777
    @alecewilliams8777 6 лет назад

    Your teaching style is amazing!!!!!

  • @101ninjapig
    @101ninjapig 7 лет назад

    this is awesome! ive been struggling so much in chem, this really helps

  • @lesslygarcia8559
    @lesslygarcia8559 7 лет назад +1

    you're so helpful I literally want to cry. You save me every time :')

  • @OceansCindy
    @OceansCindy 3 года назад

    You literally saved my life. Thank you for thoroughly explaining this!!!!!!!!!!!!!!!!!

  • @tuleinhamdan137
    @tuleinhamdan137 7 лет назад +1

    you're honestly the best teacher.

  • @HoXDipannew
    @HoXDipannew 3 года назад

    Tyler please make videos like this is its really important for students like me.

  • @Mangaluvr247
    @Mangaluvr247 6 лет назад

    You explain well and straightforward.

  • @franceshouseman6488
    @franceshouseman6488 7 лет назад

    Love all your videos! I link them for my students who need extra help or missed a class!

  • @mkerr4110
    @mkerr4110 6 лет назад

    You are an excellent teacher and I appreciate your teaching methods greatly!

  • @user-uj5wl7cw2y
    @user-uj5wl7cw2y 3 года назад

    Simple and superb explanation! You made it crystal clear !