greater birmingham mathematics partnership
DESCRIPTION
Numerical Reasoning for Pre-service Teachers Rachel Cochran, Center for Educational Accountability Jason Fulmore , Center for Educational Accountability Bernadette Mullins, Birmingham-Southern College www.math.uab.edu/GBMP. - PowerPoint PPT PresentationTRANSCRIPT
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.
Partner Students
Minority
Red. Lunch
MS Gr. 6-8
Birmingham City Schools 27,440 99% 83% 1 358
Fairfield City Schools 2,307 100% 83% 1 512
Homewood City Schools 3,510 39% 29% 1 799
Hoover City Schools 13,194 35% 22% 2 2,241
Jefferson County Schools 35,669 49% 51% 4 3,236
Shelby County Schools 28,029 26% 32% 3 1,716
Tarrant City Schools 1,295 90% 94% 1 318
Trussville City Schools 4,183 13% 11% 1 1,011
UAB 17,543 36%
Birmingham-Southern College 1,412 16%
Mathematics Education Collaborative
• Summer Courses• Mathematics Support Teams• Professional Learning Communities• Administrator Sessions• Community Mathematics Nights• Revised Courses at UAB and BSC
for Pre-service Teachers
Big mathematics ideas
Inquiry and reflection
Productive disposition
Communication
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
The Marriage ProblemIn 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?
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 = 15
41
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.
Correct Solutions Geometric approaches Numerical approaches Algebraic approaches Graphical approaches Verbal approaches
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?
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
Implementation Level
2006 Mean
Std Dev 2007 Mean
Std Dev N
High 57.0 21.4 60.3 22.2 1097
Moderate 55.4 21.2 56.4 21.6 6704
Low 56.6 20.8 55.0 21.3 15022
Total 56.2 20.9 55.7 21.4 22823
Implementation Level
2007 Mean
Std Dev 2008 Mean
Std Dev N
High 57.1 21.1 60.0 21.0 3305
Moderate 55.1 20.8 55.1 20.9 6215
Low 57.8 20.8 56.4 20.9 14506
Total 57.0 20.9 56.5 21.0 24026
Implementation Level
2008 Mean Std Dev
2009 Mean
Std Dev
N
High 59.5 20.7 61.6 21.3 3620
Moderate 54.6 20.2 54.8 20.4 7217
Low 57.7 20.4 57.1 20.7 8537
Total 57.1 20.5 57.1 20.8 24872
Implementation Level
2009 Mean Std Dev
2010 Mean
Std Dev
N
High 53.8 19.6 56.9 19.9 1221
Moderate 58.5 20.9 58.7 21.1 2441
Low 57.7 20.4 56.7 20.2 4255
Total 57.3 20.5 57.4 20.5 7917
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.