Two types of studies that many people despise the most are Science and Mathematics. Some people cannot even stand to hear them mentioned. Truth is, whatever you are actually extremely good at, others may need some improvement. Although there are scientists and mathematicians out there who are able to analyze and engineer scary and complex looking graphs and three-dimensional shapes and models, they do have some weaknesses. One of my weaknesses in academia is reading (especially when it is uninteresting to me). I have struggled with reading for quite some time and there are times where I actually have to force myself to read, not because I can't do it, because I can. This is the same for many others, it's not that you do not like math/science, its just you were taught to memorize it and not understand it. Back when you did adding and subtracting, math was pretty fun right? Well I am sure you will find science and more complex... read more
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Hi All:) My favorite resources found online vary greatly, in regards to which subject help is needed in. For math intermediate level and down, math-drills.com and mathfactcafe.com can be very useful. Although I don't tutor in Physics currently, physicsclassroom.com is a good online resource to help a student get kind of warmed up before learning a new lesson. For any elementary topics, greatschools.org/worksheets/elementary-school/ is a good resource. All of these are free and easily found. Also, simply typing in your subject of interest followed by practice problems, can guide to a large exploration of online help 24/7.
I am studying stoichiometry with a student right now. It can be confusing sometimes to think about the two or three steps required to reach your final answer. We ran into a problem that required converting weight to moles of reactants, converting moles of reactants to moles of product using mole ratio, converting moles of product back to weight, and then finally calculating the percent yield. Anybody can get lost in this soup. Take the time to write down the units at each and every step. If your units don't add up, then you know that you didn't do the problem right. When you're down and they're counting When your secrets all found out When your troubles take to mounting When the map you have leads you to doubt When there's no information And the compass turns to nowhere that you know well Let your units be your pilot Let your units guide you They will guide you well
Part of studying mathematics is accepting that we do not know all there is to know. Its possible, daily even, for our understanding of reality to be challenged or even changed. Think of how different our idea of the universe was 100 years ago. Think of how different it could be in 100 years, even! http://www.space.com/24418-stephen-hawking-no-black-holes.html
Rigor is something that is emphasized frequently in higher levels of mathematics and physics, and it has always been something that I appreciated. Unfortunately, with increased rigor often comes a decreased number of people who can understand an argument. One pedagogical ploy that has been used to great effect has been to offer "proofs" of rather difficult concepts on the basis of certain tricks that are not themselves rigorous. I call these things "lazy proofs", and they suffer from the problem of leading to outright contradictions and nonsense if taken to far. This kind of problem, usually, is swept under the rug by the person (usually a teacher) offering the proof in hopes that the misconceptions that could arise never rear their ugly head. Sometimes they never do. Other times, they cause problems down the road. One example of such a lazy proof is the following argument that the centripetal acceleration is a = v2/r. ... read more
The Physics of the Kinetic Theory of Gases: Energy, Momentum, Speeds, Balloons, and Blowing on Your Arm
This blog post will discuss some of the physics behind the things molecules do – as gases, liquids, or solids – and also get you thinking about the concepts momentum, kinetic energy, rate (of a physical molecular-scale process), and equilibrium constant (of a physical molecular-scale process). These may all sound like difficult, high-level ideas – but if molecules, which don’t have much in the line of brains, can act according to these ideas, you, with brains, can follow them too! What are molecules? First, at their simplest, they’re just clusters of atoms stuck together in such a way that they don’t come apart on their own. (If they did, they would do so immediately; there’s no such thing as delayed disintegration, the way that isotopes of some elements are radioactive.) Wait a minute, you say, what if I heat a pure substance and it breaks down? That happens when one molecule of the substance crashes into another molecule of the substance with enough energy to break at least... read more
Greetings Students! Please check out my tutoring policies here: Gerrit's Tutoring Policies (It's very important that you read those!) Here are some useful resources for help with physics problems: Guide to solving problems. Here is a helpful guide I created to illustrate from start to finish all of the steps involved to properly go about solving a physics problem. It outlines a tried-and-true proven method for approaching physics problems that is thorough, structured, simple, and (most importantly) breaks down problems making them much easier to solve. Please adopt it, practice using it, and try to incorporate it into all of your future physics assignments; it will make your life easier. Steps to Solving Physics Problems Comprehensive lists of high-school physics equations: Official AP Physics Exam: Equations List MCAT Physics Equations with Explanations Extensive... read more
Here are some of my favorite Science resources. Check back again soon, this list is always growing! I also recommend school textbooks, your local library, and used bookstores. (Gr. 9-12) CellsAlive.com – Learn about the life cycle of a cell, including reproduction, structure and live cell growth videos. (Gr. 9-12) Zooniverse.com – A fabulous resource for science projects; you can even participate in someone else’s live science project (some are even from NASA). Focuses on astronomy, biology, and chemistry. (Biology) KhanAcademy.org/science/biology – Tutorials and information on all things Biology related (Biology) SpellingCity.com/biology.html – Provides a list of vocabulary terms typically seen in Biology courses (Biology) Biology-online.org - Provides quick explanations of concepts, with examples (Bio/Anat/Physics) BiologyCorner.com – Lessons, tutorials, definitions, and practice problems.
Now that finals have passed for most of the college students on the semester schedule, I'd like to reflect on the panic that arises when students in required introductory physical science classes come to the end of a course and realize that they haven't retained anything! What is the correct approach to triaging such situations? Of course, the best way to engage with material is by answering questions that are similar to those that will be on the examination, and most professors will be kind enough to tell you what the format and types of questions will be. Generally, there are two types of questions you will find: qualitative and quantitative. I'll deal with the best way to study for each type of question in turn. Qualitative Questions The tendency here is to think that cramming and memorizing facts is the best way to go to answer such multiple choice, free response, or essay questions on qualitative subjects. However, this is not often the case.... read more
Final exams are coming up and you are freaking out! There are steps that you can take in order to help you prepare for the upcoming exam. Don't panic. Do not wait until the night before to start studying. Start going over the material weeks before the final. Previous exams - use the midterm and any other exams to help you study material from earlier in the semester. Problems that you saw on these exams may also show up on the final. Practice finals - many professors sometimes hand out practice problems or practice finals in order to help you study. Go over these problems and make sure you know how to solve every problem. Take a break from your study routine occasionally. Your brain will thank you!
I have found that most people have an intuition about mechanical physics that is generally correct before the algebra and calculus starts to confuse them. This comes from the fact that before we could speak, we were learning how to exist in the world around us (a world that is governed by physics). For instance, a child knows that your food will remain on the table unless he/she adds a force to push it onto the floor. Or that a ball thrown straight up into the air will eventually come to a stop, reverse direction and come right back down to earth. The most common issue people seem to have with physics is that, when they add in the math they forget to look at the larger picture of what is really happening. With that being said, there are several important steps that can help you with physics problems. 1: Identify all the information given and write it down at the top of the page. (It helps if you are labeling a diagram) EX:... read more
I've always had an opinion that conceptual Physics (and even advanced Mathematics) should be introduced at the primary school level. It's just amazing that when I'm beginning to draw an airplane for an example problem explaining vectors, my 12 year old student goes off on a tangent when she explains in laymen's terms - Bernoulli's Principle. I probably should've started drawing a curve ball instead. Lol
Hi All! In the spirit of giving, starting on 11/29/2013, I will be offering a few brainteasers/ trivia questions where the first 3 people to email me the correct answer will receive a free, one hour, tutoring session in any subject that I offer tutoring for (via the online platform)! That's right free! Get your thinking hats on everyone! Merry Christmas!! Andrew L. Profile
I used to do this and I see a lot of students who do this common mistake when studying. Maybe you are working through old homework problems to prepare for an exam in math or physics and you have the solutions in front of you. You get to a certain point and you get stuck, so you check the solution, see what the next action you have to take is, and then continue working through the problem. Eventually you get an answer that may (or may not) be right and check the solution again. If it is, you feel great and move on. If it isn't you compare the work and see what you did wrong and understand the mistake so you move on. All this is a fine way to start studying, but the major mistake is that most students don't go back to that problem and try to do it again. Even if you were able to understand the solution or the mistake you made, you never actually got through the problem completely without aid. So now if you come to this problem on your test, this will be the first time you actually... read more
Many times students look at graphics and word problems as perfect storms. If the problem is analyzed and related to a real life situation, I bet concepts should be easily understood. Today I was tutoring a senior student on Physics. She looked at a graph of time vs velocity with a question mark on her face. What I did was to place her on a real life case in which she is driving from home, speeds up, see a well known police officer in this area, so.... slowing down, then driving at constant speed (flat section of graph with acceleration = 0) and then slowing down again when getting to her friend's house before stopping. That was an AHA moment indeed!
One day I was sitting in the student union at the University of Utah when I noticed two students sitting near me working on a physics problem. One student was having trouble and the other was explaining how to do it using big hand motions. The first student nodded he understood. The second student left his friend to work on the problem on his own, and I watched him work for a while, then turn to his laptop, where he entered his answer into an online homework site and submitted it. This site gives you a little green checkmark when you get the right answer, and when the checkmark appeared, he pumped his fist. It seemed this little tutoring session went perfectly. There was just one problem. The second student's explanation was completely wrong; he was literally 'handwaving'! So how was it, exactly, that the first student was able to solve the problem with such bad information? Beats me. What I can say is that tutoring is more than just the transfer of information... read more
Galileo was a famous astronomer who was the first scientists to point his telescope towards the heavens and view the moon, rings of Saturn and other amazing objects. When he began to study the moon he noticed that there were craters and plains on it. He also noticed that there were mountains on the moon by noticing light patterns on the moon.Many people would have gone on to the next observation, but Galileo began to measure these mountains. I, like many other students, would always ask "what is the point of math?" "when will I ever use this?" so on and so on.Well depending on the career path you may never need the high level math you are required to take, but I hope that you at least appreciate math for the power that it holds in unlocking mysteries of our universe. Think about it the moon, is 238,900 miles!!!! And in the 1600's without any sophisticated gadgets like we possess, a humble scientist was able to measure the height of a mountain... read more
I was tutoring a student the other day in physics and, in trying to explain the usefulness of writing the fundamental equation before solving a problem, the strangeness of spontaneous analogy struck again. Looking at my teenage protege, I told him, "Physics is like a soap opera. Unless you define the relationship, you won't have any idea of what's going on." After a stunned moment of silence, we both laughed then went back to the problem. But oddly, after thinking about it, this analogy works better than any I have ever come across or invented when describing the math-intensive sciences. There are so many equations and variables out there for chemistry and physics that keeping them straight is like trying to work out a relationship tree for "All Our Children" or "The Young and the Restless". That's where practice comes in. Like watching a soap or any tv show weekly, daily practice with equations... read more
I was surprised one day to hear the instructor in an introductory physics class claim that "memorization is useless." He meant that it won't help you succeed in a physics class. Now this professor is a smart guy, but this claim is untrue. If he'd qualified it by saying that memorization is not enough, that would be different. Certainly it's true that compared with a history class, remembering random facts is a relatively unimportant skill in physics. But he didn't say that, so his actual statement, that "memorization is useless", is nonsense. The professor tried to support his claim by showing how, if he happened to forget the quadratic formula, he could quickly derive it. That's fine, but you have to start from somewhere, and the more you know, i.e. the more you remember, the less work you have to do. Let's face it. You sit down to write a typical physics exam and you have 50 minutes to solve 3 to 5 problems. You have... read more
Suppose a frog gets launched vertically into the air as this frog did during the launch of NASA's LADEE (Lunar Atmosphere and Dust Environment Explorer) spacecraft: http://www.universetoday.com/104679/absolutely-incredible-photo-frog-launches-with-ladee/ A NASA scientist gives you the task of calculating the frog's initial launch velocity provided by the spacecraft blast. You only know one piece of information: the frog reaches a maximum height of 100m. What do you do? Assuming the frog's motion is perfectly vertical (unrealistic, but let's go with it), you could use one of the many kinematic equations for one dimensional motion with constant acceleration: xf-xi=(1/2)(vf+vi)t vf=vi+at xf-xi=vi+(1/2)at2 vf2=vi2+2a(xf-xi) But which one to use? We know xf-xi=100m. We also know that when the frog reaches his maximum height, he has a final velocity of zero, vf=0. Additionally,... read more