This presentation on Fractions was for Grades 4 to 6 teachers from elementary and middle schools of Rye City School District in New York.

1. teaching fractions Yeap Ban Har National Institute of Education Nanyang Technological University Singapore yeapbanhar@gmail.com Slides are available for download from www.banhar.blogspot.com or www.mmepdpm.pbworks.com

2. Grade 1 materials, consolidated over four years build the foundation for Grade 5 and Grade 6 materials.

3. teaching fractions

4. How many thirds are there in 1 whole?

5. How many thirds are there in 1 whole? How many thirds are there in 2 wholes?

6. teaching fractions Grade 4 Grade 6 How many thirds are there in 1 whole? How many thirds are there in 2 wholes? How many thirds are there in ? How many thirds are there in ?

7. teaching fractions How many 2 thirds are there in 1 whole?

8. This is a 2-thirds. This is half of 2-thirds.

9. teaching fractions How many sixths are there in 1 half?

10. How many sixths are there in 1 whole? 1 half?

12. developing visualization How Can I Help My Students See It? extensive use of visuals in textbooks developing visualization

14. Adding like fractions, sum less than 1 Adding unlike, related fractions, sum less than 1 Adding unlike fractions, sum less than 1 Adding like and related fractions, sum more than 1 Adding unlike fractions, sum more than 1 Adding mixed numbers

15. conceptual understanding spiral curriculum mathematical variations concrete  key pictorial abstract features of singapore math using fractions as a case study

16. teaching fractions yeapbanhar@gmail.com www.banhar.blogspot.com for addresses of websites and blogs of various aspects of singapore math thank you