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Key Words Used in Math Word Problems Addition Words add all together or altogether and both combined how many in all how much in all increased by plus sum together total Subtraction Words change decreased by difference fewer or fewer than how many are left (or have
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communicating in mathematics. Without knowing what words mean, we’ll certainly have trouble answering questions. The research is clear, there is no more single important factor that affects students comprehension than vocabulary. Listed below are examples of statements translated to algebra. It’s very important that you are
• Vocabulary is an essential element of solving word problems. • In mathematics, what might be thought of as Tier One words can prove to be tricky. Consider the use
100 MATHEMATICAL PROBLEMS COMPILED BY YANG WANG The following problems are compiled from various sources, particularly from D. J. Newman, A Problem Seminar, Springer-Verlag, 1982. Kenneth S. Williams, with Kenneth Hardy, The Red Book of Mathematical Prob-lems, Dover Publications, 1997.
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Stu-dents naturally pick up math words as they work math problems. Why should I spend valuable instructional time teaching vocabulary? knowledge and relate new word mean-ings to known words and concepts. This instructional approach to vocabulary is appropriate for most sub-jects.
Concept Map. Place the concept/term in the center and have branches out to other key connected ideas, terms, or concepts, and under each of these list associated words, expressions, or concepts. Two examples are shown below.
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PROBLEM: If you write out the numbers from 1 to 1000, how many times will you write the number 7? WATER. SOURCE: PETERLILJEDAHL.COM/TEACHERS/GOOD-PROBLEM. JUGS. SETUP: A 3-gallon jug and a 5-gallon jug are resting beside a water fountain. PROBLEM: How can you use the two jugs to measure exactly 4 gallons of water?