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Modeling mathematical ideas: developing strategic competence in elementary and middle school
Preface
Developing Strategic Competence through Modeling Mathematical Ideas
DEVELOPING STRATEGIC COMPETENCE THROUGH MODELING MATHEMATICAL IDEAS
PROMOTING MATHEMATICAL PROFICIENCY AND PRACTICES
PROBLEM SOLVING AND MATHEMATICAL MODELING IN THE ELEMENTARY AND MIDDLE GRADES
MULTIPLE REPRESENTATIONS AND STRATEGIES AS TOOLS TO CULTIVATE VISIBLE THINKING IN MATHEMATICS
IMPORTANCE OF UNDERSTANDING THE VERTICAL LEARNING PRoGRESSIoN To Deepen STuDENTS' mathematical understanding of conceptual models
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Setting Math Norms to Promote Math Reasoning and Modeling
DEVELOPING PERSISTENT PROBLEM SOLVERS WITH a productive disposition toward mathematics
UNPACKING THE MATHEMATICS FOR DEEPER CONCEPTUAL LEARNING-CONCEPT MAPPING
CHOOSING WORTHWHILE TASKS THROUGH COGNITIVE DEMAND ANALYSIS
PROMOTING EFFECTIVE TEACHING PRACTICES TO OPTIMIZE THE LEARNING ENVIRONMENT
INTEGRATION TECHNOLOGY TO MOTIVATE AND DIFFERENTIATE LEARNING
ASSESSING STUDENTS UNDERSTANDING THROUGH A PROBLEM-BASED TASK
Engaging in Mathematical Modeling in the Elementary and Middle Grades
MATHEMATICAL MODELING IN THE ELEMENTARY AND MIDDLE Grades: wHAT Are The BuILDING BLoCKS?
MATHEMATICAL MODELING THROUGH UNSTRUCTURED REAL-WORLD PROBLEMS
Organizing a table tennis tournament (Unstructured problem from PRIMAS)
LESSON STUDY FOCUSED ON MATHEMATICAL MODELING: TRAFFIC-JAM TASK
PROMOTING THE TWENTY-FIRST-CENTURY SKILLS
TECHNOLOGY INTEGRATION IN PROBLEM POSING AND PROBLEM SOLVING
A RELATED RICH PROBLEM TO EXPLORE
Understanding Numbers and Operations
LESSON STUDY VIGNETTE: PRIME AND COMPOSITE NUMBERS
VISIBLE THINKING IN MATH: USING MULTIPLE REPRESENTATIONS AS RECORDS of students' strategic thinking
ZOOMING IN ON THE LEARNING PROGRESSION Of NUMBERS AND OPERATIONS
TEACHING STRATEGIES: USING MATH HAPPENINGS TO SHOWCASE REAL-WORLD MATHEMATICS APPLICATIONS
CONNECTING PROCEDURAL FLUENCY AND CONCEPTUAL UNDERSTANDING
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Modeling Math Ideas with Patterns and Algebraic Reasoning
LESSON STUDY VIGNETTE-GROWING STAIRCASE PROBLEM
VISIBLE THINKING IN MATH: USING A MODELING MATH MAT
PATTERNS AND ALGEBRA: ZOOMING IN ON THE LEARNING PROGRESSIONS
TEACHING STRATEGIES: PROMOTING THE ALGEBRAIC HABITS Of MIND
LESSON VIGNETTE: WHAT WOULD YOU CHOOSE? ANALYZING CHANGE IN NUMBER PATTERNS
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Extending the Mathematical Learning Progressions for Expressions and Equations
lesson study vIGNETTE: SETTING A MATH learning agenda
ZOOMING IN ON THE LEARNING PROGRESSIONS FOR ALGEBRA
VISIBLE THINKING IN MATH: NAMING, SEQUENCING, AND CONNECTING Math Strategies
TEACHING STRATEGIES: USING MISCONCEPTIONS TO REPAIR UNDERSTANDING AND LOOKING FOR EFFICIENCY
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Developing Fraction Sense
LESSON STUDY VIGNETTE: THE UNUSUAL BAKER
VISIBLE THINKING IN MATH: ASSESSING STUDENT LEARNING THROUGH CLASSROOM ARTIFACTS
ZOOMING IN ON THE LEARNING PROGRESSIONS: FRACTIONS
IMPLEMENTING MATHEMATICAL TASKS THAT PROMOTE REASONING AND PROBLEM SOLVING
TEACHING STRATEGIES, USING REPRESENTATIONS, AND OVERCOMING COMMON MISCONCEPTION
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Modeling Operations with Fractions
LESSON STUDY VIGNETTE: STUFFED WITH PIZZA-ADDING FRACTIONS
VISIBLE LEARNING IN MATH-USING TOOLS TO PROVE THEIR THINKING
LEARNING PROGRESSION IN FRACTION OPERATIONS— ZOOMING IN ON MULTIPLYING AND DIVIDING FRACTIONS
LESSON STUDY VIGNETTE: SHARE MY CANDY
TEACHING STRATEGIES: STRATEGY MAPPING ON THE BOARD PLAN
USE OF STUDENTS' DIVERSITY Of STRATEGIES AS PEDAGOGICAL CONTENT TOOLS
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Modeling Math Ideas with Ratio and Proportional Reasoning
LESSON STUDY VIGNETTE: THE LEAKY BATHTUB
ZOOMING IN ON THE LEARNING PROGRESSIONS ON PROPORTIONAL REASONING
VISIBLE THINKING IN MATH: USING REPRESENTATIONAL MODELS For PRopoRTIoNAL REASoNING
LESSON STUDY VIGNETTE: THE CATHEDRAL PROBLEM
DEEPENING TEACHER KNOWLEDGE AND THEIR STRATEGIC COMPETENCE
PROMOTING REASONING TO RICH TASKS
TECHNOLOGY INTEGRATION IN PROBLEM SOLVING
MORE RELATED RICH PROBLEMS TO EXPLORE
Pulling it All Together
PRACTICE-BASED ACTIVITIES TO FOCUS ON
MODELING MATH WITH TOOLS AND REPRESENTATIONS TO STRENGTHEN STRATEGIC COMPETENCE
UNDERSTANDING CONCEPTUAL AND INTERPRETATIVE Models Of Math IDEAS TO STRENGTHEN STRATEGIC COMPETENCE
MODELING MATH THROUGH PROBLEM SOLVING to strengthen strategic competence
posing tasks lor mathematical modeling through UNSTRUCTURED REAL-WoRLD PRoBLEMS to strengthen strategic competence
STRENGTHENING STRATEGIC COMPETENCE FOR MODELING MATHEMATICAL IDEAS
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