1. K-4 Module on Problem Solving with Lessons on Place Value and Fractions An Instructor’s Guide by Dianne S. Goldsby & Mary Margaret Capraro An Instructor’s Guide by Dianne S. Goldsby & Mary Margaret Capraro

2. Our Approach  Draws from research on mathematical problem solving using place value and fractions, children’s mathematical development, and on teacher education.

3. Methods Used  Background reading  Exploration  Reflection  Discussion  Background reading  Exploration  Reflection  Discussion Materials Used  Videos  Readings  Manipulatives  Classroom discourse  Assessment

4. Module Objectives  Focus on problem solving within the context of place value and fractions  Apply and adapt a variety of appropriate strategies to solve problems involving place value and fractions  Select appropriate tasks and manipulatives to teach problem solving in the context of place value and fractions  Focus on problem solving within the context of place value and fractions  Apply and adapt a variety of appropriate strategies to solve problems involving place value and fractions  Select appropriate tasks and manipulatives to teach problem solving in the context of place value and fractions

5. Research on Problem Solving Students will connect to the link on problem solving from NCTM Navigations  Investigate definitions of problem solving  Look at problem solving from a classroom perspective  Explore Polya’s problem solving strategies  Discover strategies to assist with problem solving  Reflection questions  Check their understanding Students will connect to the link on problem solving from NCTM Navigations  Investigate definitions of problem solving  Look at problem solving from a classroom perspective  Explore Polya’s problem solving strategies  Discover strategies to assist with problem solving  Reflection questions  Check their understanding

6. Lesson on Problem Solving with Place Value  Activity 1 Problem Solving in the Teaching of Place Value  Activity 2 Number Systems and Place Value  Activity 3 Place Value in Addition and Subtraction  Activity 4 Make Three Flats  Activity 1 Problem Solving in the Teaching of Place Value  Activity 2 Number Systems and Place Value  Activity 3 Place Value in Addition and Subtraction  Activity 4 Make Three Flats

7. Lesson Objectives At the completion of this lesson the participant will be able to:  Determine patterns in our number system  Determine how numbers are related to each other  Use a Hundreds Chart to examine patterns  Solve problems with two- and three- digit numbers At the completion of this lesson the participant will be able to:  Determine patterns in our number system  Determine how numbers are related to each other  Use a Hundreds Chart to examine patterns  Solve problems with two- and three- digit numbers

8. Lesson on Problem Solving with Fractions  Activity 1 Three Bean Salad  Activity 2 Fraction track game  Activity 3 Reflect on Annenburg video on Fraction Strips.  Activity 4 View a Marilyn Burns video clip on pattern blocks  Checking for Understanding  Activity 1 Three Bean Salad  Activity 2 Fraction track game  Activity 3 Reflect on Annenburg video on Fraction Strips.  Activity 4 View a Marilyn Burns video clip on pattern blocks  Checking for Understanding

9. Lesson Objectives At the completion of this lesson the participant will be able to:  Place fractions within the context of the TEKS and national standards  Determine how fractions are related to each other  Use fraction strips to find equivalent fractions  Develop a repertoire of pedagogies to problem solve with fractions. At the completion of this lesson the participant will be able to:  Place fractions within the context of the TEKS and national standards  Determine how fractions are related to each other  Use fraction strips to find equivalent fractions  Develop a repertoire of pedagogies to problem solve with fractions.

10. Additional Resources  All lessons contain additional resources including  NCTM, Focal Points and TEKS connections  Follow-up activities  Alternative Readings and references  Extension activities  Reflective questions  Additional resources  All lessons contain additional resources including  NCTM, Focal Points and TEKS connections  Follow-up activities  Alternative Readings and references  Extension activities  Reflective questions  Additional resources