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Solving Multistep Problems Using the Model Method

Solving Multistep Problems Using the Model Method. Dr. Sarah Ives Texas A & M University – Corpus Christi October 10, 2011. Outline of Session. Brief general overview of Problem Solving in mathematics instruction Problem Solving with Model Drawing

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Solving Multistep Problems Using the Model Method

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  1. Solving Multistep Problems Using the Model Method Dr. Sarah Ives Texas A & M University – Corpus Christi October 10, 2011

  2. Outline of Session • Brief general overview of Problem Solving in mathematics instruction • Problem Solving with Model Drawing • Using Model Drawing to Solve Multistep Word Problems • More Resources

  3. Problem Solving: Key Components • Students engage in a task where solution method is not known in advance • By learning problem solving in mathematics, students acquire: • Ways of thinking • Habits of persistence and curiosity • Confidence in unfamiliar situations • Ways to solve problems in everyday life and the workplace

  4. Problem Solving: Key Components • Teachers need to: • Select appropriate and challenging tasks/problems • provide manipulatives and ample time • Encourage cooperative learning • Require communication and discussion of various solution strategies

  5. Raise the Bar on Problem Solving • Great article in October 2010 Issue of Teaching Children Mathematics (NCTM) by Lisa Englard • Model Method puts focus back on relationships (among numbers and operations) and actions presented in problem • Teaches students to represent quantities with bars of varying lengths and determine which operation to choose in one-step problems • Its real value is in the simplicity it lends to multistep problems; only 15% 3,4 &5 G compared to over 40% of 3rd G solved this problem correctly: • “Margo has three times as many marbles as jump ropes. If she has 44 marbles and jump ropes altogether, how many marbles does she have?”

  6. Multistep Word Problem (addition) Alicia had $6 more than Bobby. If Bobby has $10 how much did they have altogether?

  7. Multistep Word Problem (multiplication) Lu has 3 plates of cupcakes.There are 4 cupcakes on each plate. How many cupcakes does Lu have altogether?

  8. Multistep Word Problems (classroom) If I have 25 cents, and Alex has 6 cents less than I do, how much money do we have together? Tom has 226 red and yellow flowers. He has 130 red ones. How many are yellow? Sue has 12 coins. Abe has 5 times as many coins. How many coins does Abe have?

  9. Steps for model drawing • Do a reflective reading of the problem, read carefully. • Identify the variable – the “who” • Identify the variable – the “what” • Draw a unit bar to model each variable • Place the question mark in the model • Adjust the unit bars to match the information in the problem • Compute and solve the problem • Write a complete sentence to answer the question

  10. Example Mrs Row is 3 times as old as her daughter Pam. Pam is twice as old as her brother Sam. If their total age is 54 years, how old is Pam? Sam: Pam: ? Mrs. Row: Add all units: 9 so 54/9 = 6 Then Pam’s age is 2 * 6 = 12 Answer in a complete sentence: Pam is 12 years old.

  11. Further Resources • http://www.thesingaporemaths.com/ • http://teacheracademy.org/docs/Math_model_drawing_09_doc.pdf • http://commons.wvc.edu/agardner/math171/downloads/Problem%20solving%20Singapore%20method.pdf • http://www.teach-kids-math-by-model-method.com/ • http://www.nctm.org/news/content.aspx?id=25713 • http://www.sleeplessinkl.com/2009/04/24/relearning-maths-using-the-singapore-model-method

  12. This Presentation Available: You can download this PowerPoint with all the links from this address: http://sci.tamucc.edu/~sives/Scroll down or click on link on left titled: “Solving-Multistep-Problems-Using- Model-Method_Oct2011”

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