Schema-based Strategies for Solving Math Word Problems

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Visual Representations for EqualGroups / Array / Area Problems• There are 240 chairs to set up for theconcert. Each row has 40 chairs in it.How many rows are there?• The Sports Boosters raised $908 at theirannual chili supper. The money will beshared equally by 4 athletic teams. Howmuch money will each team receive?• The patio in Erika’s backyard is 5 yardslong by 4 yards wide. How much carpetwould Erika’s father need to buy to coverthe whole patio?• Francine has 5 CDs. Millie has 3 times asmany. How many CDs does Millie have?Rows x Items/row = Totalitemsx 40 240Groups xItems/group= Totalobjects4 x $908Length x Width = Area5 yds 4 yds x sq ydsReferent xComparison= Total5 3 x
Schema-based strategyinstruction (Jitendra, 2004)1. Problem Identification– Retell the problem in own words– Identify type of problem based on criticalfeatures2. Problem Representation– Draw a diagram to represent the problem– Fill in given values3. Problem Solution– Solve using solution strategies students know
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Recommendation 2Instructional mater
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Recommendation 4Interventions shoul
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Summary ofRecommendations• Provid
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Typical Problem SolvingStrategies
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Common Underlying Structureof Story
Page 13 and 14: Common Core State Standards forProb
Page 15 and 16: Critical Features• How did you di
Page 17 and 18: Addition and Subtraction ProblemsCr
Page 19 and 20: Addition and SubtractionStructure u
Page 21 and 22: Solving for Missing Values• Solvi
Page 23 and 24: Visual Representations forGroup Pro
Page 25 and 26: Visual Representation forChange Pro
Page 27: Visual Representation forChange Pro
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Page 32: Step 1: Problem Identification1. Pr
Page 35 and 36: Step 2: Problem RepresentationChang
Page 37 and 38: Your turnStep 2: Problem Representa
Page 39 and 40: Your turnStep 2: Problem Representa
Page 41 and 42: Step 3: Problem Solutionfor Change
Page 43 and 44: Your turnStep 3: Problem Solution1.
Page 45 and 46: Your turnStep 3: Problem Solution
Page 47 and 48: What other strategies can studentsu
Page 49 and 50: Adding Distractors• There are 18
Page 51 and 52: Unit Conversions• Dillon leaped 2
Page 53 and 54: Common Underlying Structureof Story
Page 55 and 56: Underlying Structure forMultiplicat
Page 57 and 58: Critical Features forMultiplication
Page 59 and 60: Strip Diagram forMultiplication/Div
Page 61 and 62: Strip Diagram forMultiplicative Com
Page 63: Visual Representation for EqualGrou
Page 67 and 68: Common Core State Standardsfor Prob
Page 69 and 70: Your turn - use a strip diagram tov
Page 71 and 72: Your turn - use a strip diagram tov
Page 73 and 74: Another Visual Representationfor Pr
Page 75 and 76: What strategy can studentsuse to so
Page 77 and 78: Barriers / Roadblocks• Curriculum
Page 79 and 80: BIG IDEAS• Provide explicit and s
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Schema-based Strategies for Solving Math Word Problems

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