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USING THE LANGUAGE TO INCREASE DEEPER MATHEMATICAL MEANING AND UNDERSTANDING Armando M. Martinez-Cruz CSU Fullerton [email protected] Karen Delaney 0011 0010 1010 1101 0001 0100 1011 TASEL-M Math Coach at Buena Park HS [email protected] Presented at CMC South Palm Springs, CA Nov. 5, 2005 TASELM website: 1 2 4 http://taselm.fullerton.edu Outline of the Presentation 0011 0010 1010 1101 0001 0100 1011 Introduction and Welcome Math problem in a small group Teacher experiences Math graffiti Sentence strips Vocabulary worksheet Questions and Conclusions 1 2 4 Small group work: 0011 0010 1010 1101 0001 0100 1011 • A man buys 3-cent stamps and 6 [cent] stamps, 120 in all. He pays for them with a $5.00 bill and receives 75 cents in change. Does he receive the correct change? • A) Would 76 cents change be correct? Would 74 cents change be correct? • (Posamentier & Salkind, 1996, 3-14) 1 2 4 Directions • Create a group of 4 from different teaching levels 0011 0010 1010 1101 0001 0100 1011 • Introduce yourself to your group • Read the problem • Read the problem again and underline key vocabulary words • Have each group member share the definition and an example of an underlined word (If you can’t define a word, ask your group for help) • Paraphrase what the problem is asking • Solve the problem by at least two methods • Present solutions 1 2 4 Teacher Experiences: 0011 0010 1010 1101 0001 0100 1011 • Jigsaw to use students as experts • Accountability for each other • Multiple approaches to the same problem to reach all students 1 2 4 Math Graffiti 0011 0010 1010 1101 0001 0100 1011 • Clues to help students remember the meaning of the word or symbol • Examples from teachers • Select a word from Algebra or Geometry and create a visual to represent the word • Student participation 1 2 4 Creater than 0011 0010 1010 1101 0001 0100 1011 x2 -10 -5 1 2 4 5 The solution includes all the numbers larger than 2 10 ess than 0011 0010 1010 1101 0001 0100 1011 x4 -10 -5 1 2 4 5 • The solution includes all the numbers less than 4 10 ero Slope 0011 0010 1010 1101 0001 0100 1011 • Horizontal lines have zero slope 2 -5 5 -2 -4 -6 -8 1 2 10 4 Sentence Strips 0011 0010 1010 1101 0001 0100 1011 • From words to mathematics • An activity with strips • Example: 1 2 4 Four times the sum of a number and one is five. Four times a number plus one is five. Your turn: 0011 0010 1010 1101 0001 0100 1011 • The sum of two numbers is twenty. The difference of the same two numbers is four. Find the two numbers. 1 2 4 Vocabulary worksheet 0011 0010 1010 1101 0001 0100 1011 • Pass out handout and illustrate • Example: Equivalent 1 2 4 Questions and Conclusions 0011 0010 1010 1101 0001 0100 1011 1 2 4