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MAT 150 TOPIC 1 DQ 1
In your own words, describe the four-step
problem-solving process. Explain why each step is important. Create a simple
problem that could be used in a classroom and demonstrate how you would use
each of the four steps to solve this problem. How would you teach this process
in the classroom?
MAT 150 TOPIC 1 DQ 2
Identify at least five different problem-solving
strategies. Discuss when and how you would use each of these strategies to
solve a problem. Create a problem, then select an appropriate strategy and
describe how you would teach a student to use this strategy to solve the
problem.
MAT 150 TOPIC 2 DQ 1
Discuss various methods you might use to teach the
commutative property and the associative property of addition. Explain how
these properties are used in everyday life and why they are important to
understand.
MAT 150 TOPIC 2 DQ 2
In your own words, explain the division algorithm.
Pick two examples that you would use in class to explain this algorithm. Why
did you pick those examples?
MAT 150 TOPIC 3 DQ 1
Discuss various models for integer multiplication
and division. What are the advantages and disadvantages of each method? Which
method would you use to teach this topic?
MAT 150 TOPIC 3 DQ 2
Discuss the divisibility rules for the numbers 2
through 10. What is the value of knowing and understanding these rules? Give an
example of how you would use these rules.
MAT 150 TOPIC 4 DQ 1
How would you teach the concept of multiplication of
fractions? If a student doesn’t understand it this way, what alternate method
can you use?
MAT 150 TOPIC 4 DQ 2
What are equivalent fractions? Explain how two
fractions can be equivalent. Give practical examples of fractions that are
equivalent. How would you teach this concept to a class?
MAT 150 TOPIC 5 DQ 1
Explain how the base 10 number system works. How
would you teach the notion of place value to a class? How are decimal numbers
related to rational numbers? When is a decimal number also a rational number?
MAT 150 TOPIC 5 DQ 2
Explain the process of decimal multiplication and
division. Explain the mathematical justification for moving the decimal point
when performing decimal division.
MAT 150 TOPIC 6 DQ 1
In your own words, explain the concept of a
variable. Discuss how you can teach a class about the use of variables and how
they can be used to create an algebraic expression.
MAT 150 TOPIC 6 DQ 2
In your own words, explain the concept of a
variable. Discuss how you can teach a class about the use of variables and how
they can be used to create an algebraic expression.
MAT 150 TOPIC 7 DQ 1
Out of the concepts you have studied in this course,
choose one that you feel would be particularly difficult for students to
understand. Provide a concrete real-world situation or example to help
illustrate this concept.
MAT 150 TOPIC 7 DQ 2
It is necessary to have a good understanding of
mathematics in order to teach it. Who do you think would make a better math
teacher: a person who has natural mathematical talent and understands concepts
easily without making mistakes, or a person who had to struggle to gain their
understanding of math and learn to avoid making mistakes?
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