ALG1 Introduction To Critical Thinking



wash wash wash wash wash wash Oh welcome I am the amazing physicist also an illness mr. Henner to you I also just want to let you know I hope I'm glad you're here glad you're watching this video I'm doing a kind of on segue introduction to this upcoming video because it ended up running a little long and letting you know that this is your homework so don't worry about it the next couple of days it's con lenient because we need to get some fundamental things down and you see what's going on so we know further ado I'm introducing myself which is strange but hey I am strange you've met me right so without further ado this is the video it's about ideals it is critical thinking it's going to go into pretty much reading comprehension and a few things what to expect in the class and do an example for the ideals model which is an acronym what you will find out momentarily well without further ado here I am and I will see you next time in class okay let's get started so first of all I want to let you know that what we're getting into is important and it's because that you're in a math class oh no it's the Downers you know I'm a physics guy so I have to be excited about it but that doesn't mean you have to but if I do my job right maybe I can get you excited about it if I do my job right so math is descriptive it describes things it is not inherent therefore you have physics and chemistry and biology and engineering and electronics engineering and math describes all these things as a physicist I can tell you that math is highly important to even the cellphone you may be watching this video on and I'm glad you're here because that's the first step to success if you're looking at me right now I'm taking the first step so here's the thing math describes things like chemistry and math is kind of beautiful in its own way because it of itself it is the only thing that can actually be proven with a moderate amount absolute in the science room absolutes are not usually a thing the scientists deal with man that's about the only place you're gonna have a proof then it's completely proven like you can find papers with about two one plus one equal to I would not suggest you read them I have it's not a fun read but it exists and it does prove it it's great for physics I'm a little biased I can't help it but here's the thing we're gonna move into something else here and when it comes to math and chemistry and all these different subjects one of the greatest things you need to learn about is critical thinking you need critical thinking skills and you use critical thinking skills all the time whether they even know you use it or not when you walk into an ice-cream shop you're using critical thinking skills it may not be really important or maybe it is maybe you're lactose intolerant maybe you're allergic to peanut butter but you look at things and you make decisions based on your previous knowledge that you're bringing into the situation and then you're making the decision based on what is presented in front of you so the first thing about it is perfect thing is just objective analysis of a situation the long form I won't get into but the quick and easy that's the objective analysis and evaluation of an issue in order to form a judgment that is critical thinking and those four parts there's many more but we can condense it into four parts the four parts are knowledge it's what do I already have what do I already net so when you're looking at a problem in physics or math or whether it's a problem like the ice cream shop you want to know what kind of ice cream you want what kind of sundae what's going to build good together nope don't want the little shriveled-up grapes on my sundae you know cuz I know previous experiences I don't like raisins so there's a simple part knowledge that you're bringing to the table another thing is understanding so you do I know in general what is needed to solve or come to a conclusion on what I'm trying to do and that's just something you do without even really thinking about it no pun intended one thing is making inferences and I want to be clear on this inference an assumption is not the same thing and inference is what we already know from what the problem is giving us or combining what the problem is giving us what is telling us like being an ice cream shop with my own previous experience so I can infer if I'm allergic to peanut butter and there is a chocolate mocha happy doodle shake and I noticed that it says may contain peanuts I can infer that I may have an allergic reaction to that sundae and should not buy that something so that's an inference made a judgement based on information presented to me that I noticed and what I already knew coming in and all of this leads to synthesis you synthesize the information and it just that's just bringing this information together to come to a conclusion so you decide to get the strawberry fluff tart sundae yeah sorry I'm not great at making up names for sundaes give me some ideas but so another thing that most students don't realize is that reading comprehension is very important and what a lot of people and I hate to use generalizations but what well I mean people tend to not think about is that reading comprehension it's not just about reading Shakespeare or reading the book in your comp class or or you know reading are you planning on RPG or you're reading the text although RPG is just a random thing that JRPGs to the point is is that reading is a part of real life every day you always have to read nobody's ever if anybody looks at you says I'll never even know how to read well no you need to make a correction on that because you read things all the time it can be for fun it could be for business it could be for your job it can be for school bringing comprehension is important and one thing that people don't realize usually is it can be even like with math or physics it could be a model it could be a bar graph I'm sure bhavani of you read bar graph it could be let's think oh I don't know a pie chart a comparison graph mmm flow chart very important a lot of people struggle with those tho charts are important – especially in electronics believe it or not but that's another subject once again one of my bosses although the light products I hope you do too because you're you know you got a phone in your hand and I'm sure some of you play video games on PlayStation 4 Xbox or you know the switch all part of electronics engineering all has math in it so thank math one that you probably didn't think about is that reading comprehension can be important to your help if you're a health conscious person labels may be something you want to make sure that you know how to read and don't miss read especially maybe you want to make sure there's certain ingredients thrown in something or here on a diet or or you're trying to gain weight or whatever it may be so reading comprehension is important as we go through the semester you will be given text to read and I don't mean books I'm not gonna sign a book to you this is a math class I'm talking about little snippets of information it's gonna help you build vocabulary because well caviar is important one of the keys to critical thinking and what we're getting to this ideals that leading up to is you have to be able to comprehend what you're reading or you're gonna make wrong inferences you're gonna draw conclusions that aren't there and you're not gonna understand the problem so that's important so reading comprehension very important for critical thinking when you're analyzing a word problem and I know all of you love work problems because I know that's my favorite I'm kidding I know it's I know but I'm gonna teach you a way to do it it makes it a little easier and at first it may seem silly because if you're just trying to figure out two plus two equals four this is a little bit long method but if you're trying to read a word problem this is very useful and we're gonna start off with a simple one first now this is a problem something doing sex with Sabbath grade this is not a difficult problem most of you are gonna look at this and be like well duh some of you may not it's no big deal it's just according to what experience you're bringing what is your knowledge you're already bringing and once again I'm gonna show you how inferences vocabulary everything plays we're all into solving this problem so first the acronym of the day ideals let's start with the first one I didn't so when you've got a problem you've got to identify what question you are facing so let's take a look at our question for the day let me give you a read so there are 22 bicycles and 30 cars in the garage at Christina's apartment building man that's got to be on Celebrity cribs that is a that is one huge maybe yeah anyway how many wills are there in the garage so I'm assuming she lives as a regular apartment gonna house thinking more of like kondou but so first thing we need to think of is what's the question well the question just to highlight it here it is how many wills are there in the garage so that was the first step we have identified well we need to identifies the easy one sometimes it's not sometimes identified can be the one that's the hardest because the questions can get a little bit more complex but in this case it did not so we identified it identify we're done so what we do is say okay we know that we need to know how many wills are in the garage so moving on they are on too long the second one is the D and the D stands for define mean so said basically it's one of the facts that frame this problem okay let's look at it sure we know several facts here and let's go ahead and highlight what we know we know that there are 22 bicycles and 30 cars and we know that they're in the garage but we need to do something else we need to make an inference here and this is one word it could be an axle just assumption you have to make which is adder is a difference but in this case I'm gonna go ahead and say this is an assumption we need to assume something can you think of what maybe we need to assume well better hope there's no spare wheels lying anywhere for one that's not attached to a vehicle because that's going to change our answer isn't it and that pretty much takes care of that we've made sure so we're gonna just assume there's no spare tires and nobody's got spare bicycle or car wheels anywhere so next when you do define what is a car so we need to define what is a car so how many wheels does a car have well we know that most cars or trucks or ATVs have four wheels now the defined part is important in this problem because of this right here and this is where vocabulary comes in so you have the word buy usually buy means two so that's why it's called a bicycle now from inferences or previous experience you may come in and say well I already know what a bicycle how many tires it has because I've ridden it I know what they are I've rode them okay if you've never seen a bicycle somehow then if you know vocabularies and you would know that bombings too so we have defined what we need to define and now we go on to the next part which is e which pretty simple because we've really what this problem already done most of the work and we've been we need to enumerate and to a numerate we need to know what the plausible options are well unless some of the cars in there have had a flat tire in the middle of them being you know the the tire replaced we know that the cars have four tires and we know the the bicycles that they have two tires locking apart in my writing so that there is what we need for the numerator the first part of the enumerate and now we just need to know how many cars do we have well we know that we'll say C is equal to cars and we have 30 cars and we'll say that B is equal to 22 because we have 22 opossums so we've set up the problem with a memory and those are two things that we we know right should say wheels so you can see that we're starting to get there now we need to analyze what is the next best course of action well what we do here's would take the data we've got which we already know we've got 22 bicycles so we take all the data we have remember we've got 22 Bisons we've got 30 cars right all right and we know that the we the bicycles have two tires or two wheels and at the cars have four and we need to make sure we find out while together how many wheels and total we have so we can set up something like a linear equation now if you're in sixth grade you probably wouldn't use a linear equation but I know you guys have seen linear equations and you know about this so I'm going to set a really simple one up and this is where we analyze this is where we solved the problem so we have 22 bicycles and then we know we have what was it 30 cars so and we know that equals the total wheels that we have and this script here just as a little education T sub W that just means total wheels it's just a is it's called a subscript don't let that confuse you it's a math thing it's something I will teach you you will learn something super scripts they're simple they're just ways of abbreviating things in math so you don't get confused especially if you're dealing with Z or a different letter you can confuse your Z for a 2 and their two for Z well you end up not getting an a on the exam not that I've ever done that anyway so now we've got 20 to be plus 30 C equals T sub W so we now say oh well we know that a bicycle has two wheels we know that a car has four so now we just substitute this in 22 and just say that's 2 plus we have 30 and we know that's times four that's going to equal wheels well we say now we got to pull out something from the past that we know everything builds on itself now this may seem obvious to some not theirs remember PEMDAS we've got to make sure that we multiply first and then we add so 22 times 2 simple enough front 44 they were buddy in agreement hope so cuz can't hear you plus so 30 times 4 120 once again everybody hopes in agreement and then we have equals 2w and then of course if you add these together you're going to get your total Wheels is equal to 164 making sure I'll do that right in my head so we've solved our problem now you say well mr. Henner what's left well there's another thing you can do called list that's the last now I'm gonna tell you this this is where it gets interesting so in that type of problem listing is not going to be important because we know that there's only like one or two ways to do this and we're only this is the only one off the top of my head I can think to do this or you could skip all the steps just be like well it's twenty two times two plus thirty times four equals and it's a skip it but when you hit the different subjects of mathematics and you're solving things that are more complex even if it's not a word problem the list will come in to play because there may be five or six different ways for you to solve the problem and there may be one that's more reasonable or maybe a shorter time and by listing out the different ways after you're done that you think well I could have done it this way or wait now looking back I could have done this you learn and you say well next time I'm gonna try it the other way and you may save yourself time on a test or a quiz or on the a CT no always off from now which is very important and it all comes back every one of these six letters of this acronym will help you so once you list which I or just say that's the only way so we're good right I don't there if you have other ways let me know in class if you have other ways that has a different order or a progression because I want to know cuz I thought my head I just can't think of another way all our brains work different so your classmates may come up with different ways of doing things than you do to you they will so the last part and this I cannot stress enough guys I cannot count the number of times that I have kicked myself in college because I did not check my answer when I got to the end and in this case really you could go back and if you wanted to she'll check this you could just go and reverse you could just take everything and try to go in Reverse but this doesn't have enough steps to really have a self-check method but self-correct the staff is important and and what what it basically is is that what you want to do is if you get to the end of a problem and you get an answer go back and see if there's either one a way to plug it back in to see if it's correct because if you saw Belen your equation right if I saw you know the linear equation 3 plus ax equals 5 and I get oh somehow x equals 104 and I go back and I plug it in and say let's make sure it's right well 7 does not equal 5 try again I think go back I can try again and that's the same thing here here's not as much here you want to ask yourself does my number make sense and in this case yeah it makes sense it's if it was a thousand or 500 in some you might think that's a little high you know maybe I've made an error in my multiplication or maybe I hit the wrong button on my calculator what have you like in division if you're dividing something by something else and the answer you get is bigger than what you started with then you may have a problem and I don't mean like dividing 2 into 30 yeah it's gonna go 15 times I'm talking about if you end up with something that's just nonsensical and all that means it just doesn't make any sense in other words if I do long division about 4 into a hundred and and I and I get it going in a hundred and twenty five times I've made an error because that doesn't make sense right how can four go into a hundred more than 100 is so just keep that in mind and basically the last thing I want to leave you with is oh let me get myself fullscreen and I'll tell you ah hope you enjoyed the previous lecture he's quite great isn't he no I'm joking I hope you know it ran a little long guys and I wanted to just elaborate a little bit to let you know we don't typically think of reading and comment you know critical thinking and all that and lumped into one but I hope this video helped you a little bit I know it was a little slow some of you may have got a little bored but I have to make sure that I'm slow so everything I say you it's synthesized up here so I have to go slow with it the first time but that was your homework the only other thing you need to do is fill out that poll that was on my website please do that because that'll help me know your interests and hobbies and things and if I don't know you're interested in hobbies I can't make the class exciting you know I need to be able to find a way to make math fun and it's not-it's no small feat I mean you give mr. herring a break here give me some information on what you like I will find a way to connect math to it I promise you I will but until next time I am the amazing physicist also known as mr. Henner question everything and always think critically have a good day you

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