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Published byΕυαδνη Δουρέντης Modified over 6 years ago
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Reading and Writing In the Mathematics Classroom K.Bakthavachalam
BT Asst, GGHS Nellorepet
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Reading Mathematics Tips
Read slowly. Look for the main idea. Learn the vocabulary. Learn definitions and theorems. Work through examples with pencil and paper. Understand before you continue. Reread before you start homework. Do homework. Reread lesson. Read ahead to the next lesson.
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How to Read a Definition
Relate the concept to what you already know. Write and study several examples. Understanding specific cases helps you understand the general concept. List nonexamples—items that do not fit the definition. Ask yourself why this concept has been introduced. Write the definition in your own words to help you remember and to check whether you understand the concept.
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How to Read a Theorem What are the conditions (or premise)?
Write and explore specific examples. Examine special cases. What is related to it? Why is it important or useful? Write it in your own words. Search for counterexamples when one of the conditions is omitted.
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Active Reading Strategies
Be aware of whether you understand each statement or question. When you do not understand, stop and reread. Relate what you read to your prior knowledge. Consider how new concepts fit with preceding concepts. Predict what concepts might be presented next.
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How to Work Homework Exercises
Work the problem and get an answer. Don’t look at the answer first. Check your answer with the textbook’s answer. If the answers match, go on to the next exercise. If the answers do not match, go back through the steps of your solution. Check your work.Correct any mistakes. Then work the problem again and check if this answer matches the correct answer.
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Stuck on a Problem? Reread it. Read it aloud.
Refer back to an example. Reread the part of the textbook that relates to the exercise
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Reading Mathematics Tips
Read slowly. Look for the main idea. Learn the vocabulary. Learn definitions and theorems. Work through examples with pencil and paper. Understand before you continue. Reread before you start homework. Do homework. Reread lesson. Read ahead to the next lesson.
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How to Read Standardized Test Questions
Read the question carefully. Be certain you understand what it asks. If a problem seems difficult, reread the question slowly and carefully. Ask yourself “What have I been asked to find?” and “What information will help me find the answer?” you read each question, decide what type of problem it is. For example, will it involve a proportion, the Pythagorean Theorem, or factoring a polynomial? Watch for words like not, greatest, least, always, estimate, or approximately. Watch for types of numbers, like integer, positive integer, or real number.
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How to Read Standardized Test Questions
If you are allowed to write in your test booklet, circle important words. Read each of the multiple-choice response choices before you try to solve the problem. This is especially important if the question asks, “Which of the following is true?” As you read the response choices, eliminate any that are impossible. Translate words into symbols. Read the accompanying table or graph before you read the problem.
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How to Keep a Positive Attitude
Expect mathematics reading to take time. It is normal to not understand some concepts the first time you read about them. The most difficult concepts may turn out tobe the most powerful and valuable. It’sworth the effort to keep trying. Don’t let yourself feel discouraged. Remember that you have mastered concepts that seemed impossible at first. You can do that again. If you don’t understand something you read,it is likely that others don’t understand it either. Learn to apply strategies that help you understand..
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When You Don’t Understand, Take Action
Read the passage aloud. Reading will slow you down, and sometimes listening to the spoken words will help. Mark difficult passages. Using self-adhesive notes on the textbook pages works well. After finishing working the exercises,you should go back to your notes. You may find that you now understand. If not, the notes can remind you to ask for help in class. List your questions in your notebook. The process of writing the question may itself help you understand. If you have difficulty understanding a definition, property, or theorem, write the concept in your own words. You may discover which part of the statement is unclear Talk with others. Working with other students in class may be helpful. Outside of class, you may benefit from talking with friends, older siblings, or parents
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Suggested Assessment Criteria for Writing Mathematics
content: accurate, complete, and appropriate content vocabulary: correct use of vocabulary organization: orderly, logical writing originality: evidence of independent thinking mechanics: correct grammar and spelling; complete sentences symbols: correct use of symbols and variables
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Checklist for Writing Projects
Clearly state the problem. Explain how you will solve the problem. List each step in the solution and its justification. List your answer and interpret it in terms of the problem situation. Label all graphs and drawings. Define any variables that you use.
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Checklist for Writing Projects
Cite your sources, including books, software,Web sites, and people. Use correct spelling, grammar, andpunctuation. Use correct mathematics! When using a word processor, use standard conventions for writing mathematics: italicize variables and write equations on separate lines for easier reading.
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Checklist for Writing Projects
Cite your sources, including books, software,Web sites, and people. Use correct spelling, grammar, andpunctuation. Use correct mathematics! When using a word processor, use standard conventions for writing mathematics: italicize variables and write equations on separate lines for easier reading.
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Suggested Rubric for Writing in Mathematics
3 points : All parts of the question have been answered accurately and completely. 2 points :Most of the answer is correct, but something is missing or incorrect. 1 point : The answer is partly correct and relates to the question. 0 points The answer is completely incorrector unrelated to the. question.
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Quantitative Literacy
MATHEMATICS Technology Culture These are what I call the "essential roots," without which the tree would be less healthy. There are also non-essential roots that have confounded attempts to improve the tree's productivity over the years, but that is another talk. Mental Discipline Research (College Prep) Quantitative Literacy
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Putting the learner at the centre by;
Assessment for Learning
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If we don't stand up for children, then we don't stand for much.
--Marian Wright Edelman
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THANK YOU K.Bakthavachalam
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