Elementary Mathematics Theory Questions
Using the textbook-“A Problem Solving Approach to Mathematics for Elementary School Teachers”
from chapters 4-6 answer the following questions..
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?
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.
3. 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?
4. 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?
|Category||Unacceptable (0-1)||Needs Improvement (2-3)||Good (4)||Excellent (5)||Total Possible Points|
|Organization (x3)||There is no apparent organization to the answers. They shows some coherence but ideas lack unity.||There is some level of organization though digressions, ambiguities, irrelevance are too many. Transition evident but not used throughout the paper.||Answers are coherent and logically organized with transitions used between ideas and paragraphs to create coherence. Overall unity of ideas is present.||Answers show high degree of attention to logic and reasoning of points. Unity clearly leads the reader to the conclusion and stirs thought regarding the topic.||15|
|Content (x3)||Answers lack evidence of critical thinking. Writer uses superficial, simplistic, or irrelevant reasons and unjustifiable claims. Makes illogical, inconsistent inference.||Answers are primarily opinion without valid support. Little critical thinking is evident. Follows existing evidence to obtain conclusions.||Ideas are logical and reasoned, but demonstrate lesser degree of originality. Follows evidence and reason lead to obtain justifiable, logical conclusion.||Writer develops logical and reasoned independent ideas that go beyond predictable outcomes or the conclusions of researched materials. Follows where evidence and reason lead in order to obtain defensible, thoughtful, logical conclusions or solutions.||15|
|Grammar & Mechanics(x2)||Sentences are unclear and many grammatical errors in structure make answers virtually unreadable. Spelling, punctuation, capitalization, and vocabulary usage contain major flaws that impede readability.||Most spelling, punctuation, and grammar correct allowing reader to progress through the answers. Some errors remain.||Answers have few spelling, punctuation, and grammatical errors allowing reader to follow ideas clearly. Very few fragments or run-ons.||Answers are free of distracting spelling, punctuation, and grammatical errors; absent of fragments, comma splices, and run-ons.||5|
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