1. Do the Math: A Structured Approach to Elementary Math Extended Instruction Arlington Public Schools Fall Title I Statewide Conference November 5, 2014

2. Massachusetts Department of Elementary and Secondary Education 2 Population 43,305 (US Census 2010-2012 American Community Survey 3-Year Estimates) DESE Poverty: 4.7% in 2012 – for FY15 Title I 5.1% in 2011– for FY14 Title I

3. Arlington Public Schools  Densely populated close-in suburb of Boston  District enrollment - 5,012  Free & Reduced Lunch from 4.8% to 29.2%  FY15 Title I - $174,770  Targeted Assistance  Not including Germaine Lawrence & private schools  Title I elementary schools  Thompson – 360 students – 29.2% F&R  Peirce – 268 students – 10.1% F&R  Required reservation allocated to third elementary school  Stratton – 382 students – 9.2% F&R Massachusetts Department of Elementary and Secondary Education 3

4. Elementary student performance Title I information sources  District-wide math assessments in grades 1 – 5  Beginning and End-of-Year Assessments  Certain Unit Assessments  Grades K-2 AMC Anywhere  DDMs  Classroom Developed and Additional Investigations Unit Assessments  Math MCAS results for grades 4 and 5  Teacher Observations Massachusetts Department of Elementary and Secondary Education 4

5. Teacher observations: students who struggle with mathematics  Students who:  Are determined to be “invisible” in class;  Are reluctant to share their ideas or to ask questions in classroom;  Often, lack fluency with small numbers/described as having no number sense;  Cannot follow another’s argument or reasoning;  Have had limited practice hearing themselves making sense of mathematics. Massachusetts Department of Elementary and Secondary Education 5

6. Who are these students? (Grades 2 – 5)  They include ELL students  Some of whom have learned math as a set of procedures to be memorized  Some of whom are having difficulties because of language issues  They include SPED students  Some of whom have a deficit that impacts their acquisition of mathematics  Some of whom have learned that if they wait long enough, someone will solve the problem for them  They include general education students  Some of whom have yet to develop confidence in their own mathematical thinking  Some of whom may not have been ready to understand the concept when it was taught or the way it was taught Massachusetts Department of Elementary and Secondary Education 6

7. Intervention program: Do the Math from Math Solutions/ Marilyn Burns Massachusetts Department of Elementary and Secondary Education 7

8. Additional information  Why this Program?  Common Core Aligned  Aligns with TERC Investigations, our district curriculum  Its positive PD Impact on teachers  Nearly all teachers have been classroom teachers or SpEd teachers  Weekly meeting with teachers to answer questions about the curriculum or particular children’s needs  Comes with all materials needed for successful implementation  Communication with Parents  Each school establishes its letter from a sample that I send to principals.  Program comes with “Community News” – a newsletter that can be sent home to parents or to classroom teachers  Teachers inform parents and classroom teachers about the change from beginning to end of module assessments Massachusetts Department of Elementary and Secondary Education 8

9. How are students chosen?  Teachers look across a grade at student performance information  They identify students who are at a similar level of understanding or skill  Decide how small the groups should be.  This is an important consideration.  Six students is the upper limit to insure that every student has many opportunities to participate in the group discussions. Massachusetts Department of Elementary and Secondary Education 9

10. How do we implement the program?  15 weeks beginning in January  Teacher Prep Time  Teachers must be available to meet with me to debrief and to discuss problems students may be having  Instructional Time  Most often - 1 hour each day during two days a week after school  Sometimes - 1 hour each day during two days a week before school  Once - four mornings a week for 30 minutes each day. Massachusetts Department of Elementary and Secondary Education 10

11. Fractions A Fractions B Fractions C Massachusetts Department of Elementary and Secondary Education 11

12. Structure of a module Massachusetts Department of Elementary and Secondary Education 12

13. Lesson support Massachusetts Department of Elementary and Secondary Education 13

14. #20 on pre/post-tests Massachusetts Department of Elementary and Secondary Education 14

15. #18 on pre/post-tests Massachusetts Department of Elementary and Secondary Education 15

16. Pre- test 1. Shade 3/8 2. ID shaded area 3. How many halves in 1 whole 4.1/4+1/4+_ = 1 5. Find sum: 3/8+2/8+3/8 6. Compare 3/8 1/2 7. Compare 9/16 1/28. Compare 3/8 9/16 9. Compare 1/2 4/8 10. 3/4 = ?/811. 2/8 = 1/? 12. 1/2+1/8+?/8 13. 13/8=8/8+?/8 14. 7/4 to mixed number 15. irder fractions 16. order fraction 17.WP- share pizzas 18. ID greater: mxd# improper fraction 19. ?/12 = 1/4 20. Compare fractions to 1/2 total pts 11111111111111111111 20 Name 0 A 11111101111001001100 13 B 11100101011000001100 9 C 11110100111110001000 11 D 11100001110000000000 6 E 11110111111010011100 14 F 11100001011000001100 8 Total Pts 1.00 0.500.170.670.170.830.671.000.830.170.330.170.000.170.830.670.00 10.2 Massachusetts Department of Elementary and Secondary Education 16

17. Post- Test 1. Shade 5/6 2. ID shaded area 3. How many quarters in 1 whole 4.1/8+1/8+ 1/4 +_ = 1 5. Find sum: 5/16+11/16 = 6. Compare 1/4 1/2 7. Compare 5/16 1/2 8. Compare 3/8 5/16 9. Compare 3/4 4/8 10. 1/4 = ?/811. 2/8 = 1/? 12. 1/2+1/8=?/8 13. 10/8=8/8+?/8 14. 9/8 to mixed number 15. order fractions 16. order fraction 17.WP- share pizzas 18. ID greater: mxd# improper fraction 19. ?/12 = 1/4 20. Compare fractions to 1/2 total pts 11111111111111111111 20 Name A 11111111111111101110.5 18.5 B 11111111111111111111 20 C 11111101111111110111 18 D 11111111111111101110.5 18.5 E 11111111111111111110.5 19.5 F 11111111111111011110.5 18.5 Total Pts. 1.00 0.831.00 0.830.670.831.00 0.67 18.8 Massachusetts Department of Elementary and Secondary Education 17