Lab HW 9- Leona Stern

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University of Missouri, Columbia *

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100L

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Mathematics

Date

Feb 20, 2024

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docx

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2

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MATH 100L Assignment Week 9 Week 9-1 (Pages 356 – 361): 1. Should you use a solutions manual? Yes. 2. When using a solutions manual can be a great aid to learn mathematics? Yes but only if it is responsibly used. 3. Please finish the following sentence, “It is essential to get thorough feedback on your efforts in working assignments, and using …” “It is essential to get thorough feedback on your efforts in working assignments, and using a solutions manual is one way to do this.” 4. When should you use a solutions manual? Please list the opportunities to use a solutions manual. 1. If you don’t know how to start the problem 2. If you get stuck 3. When you have a solution, put your work and the manual aside and work on the problem from beginning to end (**) 5. How do you use a solutions manual if you don’t know how to start a problem? Look at the beginning of the solution in the manual, but read no further (cover up what you haven’t read.) Set the book aside and ask yourself how you could have thought of this approach. Realize that there may be other ways to begin the exercise. Now work to complete the solution, not looking at the manual. 6. How do you use a solutions manual if you get stuck? Read more of the solution in the manual, stopping when you have enough to proceed in your efforts to find a solution. Continue with this process until you have a solution. 7. Do you use a solutions manual if you know how to solve a problem? Give me the reasons for your response. Yes. You can consult the solutions manual to see if the solution given there varies from yours. 8. What are the main abuses of using a solutions manual? List at least two of them. 1. Accessing the manual too quickly 2. Not reading it in a critical way 9. What should you do first before referring to the solutions manual? List at least three things you need to do. 1. Give yourself time to try various problem-solving skills 2. Look over problems that were solved in class or in the textbook 3. Reread your notes or portions of your textbook for ideas on how to proceed 10. You cannot solve a problem. Is it advisable to wait at least a day to consult a solutions manual? Yes. 11. Why? Because even if you are not working on the problem, your subconscious is. An idea might spark that would lead you to the solution. 12. No textbook is ideal for you. Why? Because it was written for everyone, not someone. There are differences in textbooks for the same course. 13. Please finish the following sentence, “Another benefit of reading an alternative textbook is that you will be exposed to …” “Another benefit of reading an alternative textbook is that you will be exposed to ideas related to the topics you are studying in the course that do not appear in your textbook.”
Week 9-2 (Pages 366 – 374): 1. Please finish the following sentence, “Your ability to learn mathematics is significantly enhanced if you and your instructors use this technology …” “Your ability to learn mathematics is significantly enhanced if you and your instructors use this technology appropriately.” 2. The likelihood of misusing technology is high, to say the least. How can you abuse it? List four ways you may abuse technology in your math course. 1. Relying on technology for virtually all your computations 2. When writing a paper (there is a natural tendency to be primarily interested in getting computational results rather than in analyzing what the results reveal.” 3. Not understanding the outputs that you get from using technology 4. Not understanding the shortcomings of technology in the results obtained 3. Why should 3 raised to the fourth power, or 25x5, or decimal form of 5/4, or log1000 be done mentally? Because in most cases you have to recall the meanings of the concepts in order to perform the computations or construct the graphs. 4. What does it mean that technology in a math course is often referred to as the “black box”? That is, something is put in the black box, a crank is turned, something comes out, and any understanding that results is accidental.
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