1. The Greater Birmingham Mathematics Partnership is funded by NSF awards DUE-0632522 and DUE-0928665. The opinions expressed herein are those of the authors, and not necessarily those of the National Science Foundation.

2. Partner StudentsMinorityRed. LunchMSGr. 6-8 Birmingham City Schools27,44099%83%1358 Fairfield City Schools2,307100%83%1512 Homewood City Schools3,51039%29%1799 Hoover City Schools13,19435%22%22,241 Jefferson County Schools35,66949%51%43,236 Shelby County Schools28,02926%32%31,716 Tarrant City Schools1,29590%94%1318 Trussville City Schools4,18313%11%11,011 UAB17,54336% Birmingham-Southern College1,41216% Mathematics Education Collaborative

3. Summer Courses Mathematics Support Teams Professional Learning Communities Administrator Sessions Community Mathematics Nights Revised Courses at UAB and BSC for Pre-service Teachers

4.  Big mathematics ideas  Inquiry and reflection  Productive disposition  Communication

5. Numerical Reasoning course for BSC pre-service teachers  Number talks (mental computation, estimation)  Whole numbers and operations, place value  Multiple models for fractions, story problems  Equivalent fractions, ordering fractions  Operations on fractions  Decimals, percents  Ratios, proportional reasoning  Integers  Real numbers

6. Numerical Reasoning Task The Marriage Problem In a certain town, 3/5 of the women are married to 2/3 of the men. What fraction of the adults in the town are married?

7. The Marriage Problem Sample 1: Since 3/5 of the women are married to 2/3 of the men, 5/8 of the adults are married. Sample 2: 3/5 + 2/3 =

8. The Marriage Problem Sample 3: 3/5 of the women are married to 2/3 of the men are married so 19/30 of the adults are married.

9. The Marriage Problem Correct Solutions  Geometric approaches  Numerical approaches  Algebraic approaches  Graphical approaches  Verbal approaches

10. Numerical Reasoning Task: 1½ ÷ ½  There were 1½ pizzas left over. Juanita shared the leftovers with her friend, Rachel. How much pizza did they each get?  Yan has1½ ounces of gin and it takes ½ an ounce of gin to make a cosmo. How many drinks can she make?  It takes Kamal 1½ hours to clean his room. His bother said they could each do ½ the work. How long did it take them?  I have a total of 1½ square yards of fabric. The fabric is ½ yard wide. How long is the fabric?  Bobby has 1½ feet of rope. That’s enough for ½ a skipping rope. How much rope is needed for a whole skipping rope?

11.  Content Knowledge for Teaching Mathematics (CKTM)  Learning Mathematics for Teaching Project, University of Michigan, Deborah Ball et. al.  15 item instrument  Mean gain of 3.4 from pre-test to post-test

12. Implementation Level2006 MeanStd Dev2007 MeanStd DevN High 57.021.460.322.21097 Moderate 55.421.256.421.66704 Low56.620.855.021.315022 Total 56.220.955.721.422823

13. Implementation Level2007 MeanStd Dev2008 MeanStd DevN High57.121.160.021.03305 Moderate55.120.855.120.96215 Low57.820.856.420.914506 Total57.020.956.521.024026

14. Implementation Level2008 MeanStd Dev2009 MeanStd DevN High59.520.761.621.33620 Moderate54.620.254.820.47217 Low 57.720.457.120.78537 Total57.120.557.120.824872

15. Implementation Level2009 MeanStd Dev2010 MeanStd DevN High 53.819.656.919.91221 Moderate 58.520.958.721.12441 Low 57.720.456.720.24255 Total 57.320.557.420.57917

16. The Greater Birmingham Mathematics Partnership is funded by NSF awards DUE-0632522 and DUE-0928665. The opinions expressed herein are those of the authors, and not necessarily those of the National Science Foundation.