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Award Abstract # 1043831
Collaborative Research: Noticing Numeracy Now (N3)

NSF Org: DUE
Division Of Undergraduate Education
Recipient: UNIVERSITY OF KENTUCKY RESEARCH FOUNDATION, THE
Initial Amendment Date: July 12, 2011
Latest Amendment Date: July 12, 2011
Award Number: 1043831
Award Instrument: Standard Grant
Program Manager: Michael Jacobson
DUE
 Division Of Undergraduate Education
EDU
 Directorate for STEM Education
Start Date: July 15, 2011
End Date: June 30, 2013 (Estimated)
Total Intended Award Amount: $36,538.00
Total Awarded Amount to Date: $36,538.00
Funds Obligated to Date: FY 2011 = $36,538.00
History of Investigator:
  • Molly Fisher (Principal Investigator)
    fishermolly@rowan.edu
Recipient Sponsored Research Office: University of Kentucky Research Foundation
500 S LIMESTONE
LEXINGTON
KY  US  40526-0001
(859)257-9420
Sponsor Congressional District: 06
Primary Place of Performance: University of Kentucky Research Foundation
500 S LIMESTONE
LEXINGTON
KY  US  40526-0001
Primary Place of Performance
Congressional District:
06
Unique Entity Identifier (UEI): H1HYA8Z1NTM5
Parent UEI:
NSF Program(s): S-STEM-Schlr Sci Tech Eng&Math,
TUES-Type 1 Project
Primary Program Source: 04001112DB NSF Education & Human Resource
1300XXXXDB H-1B FUND, EDU, NSF
Program Reference Code(s): 9150, 9178, SMET
Program Element Code(s): 153600, 751300
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.076

ABSTRACT

This collaborative project between Morehead State University, Northern Kentucky University, and the University of Kentucky provides information about the extent to which an innovative learning experience focused on the professional noticing of children's numeracy develops preservice teachers' (PSETs') capacity to attend to, interpret, and respond appropriately to the mathematical thinking of children. The project uses a module, Noticing Numeracy Now (N3), developed by the researchers and based on professional literature in the areas of professional noticing and the Stages of Early Arithmetic Learning (SEAL). The research advances knowledge and understanding of how teacher educators can facilitate PSETs' development of professional noticing, knowledge of children's conception of unit, mathematical knowledge for teaching, and positive attitudes toward mathematics. The activities present a creative and potentially transformative approach to the preparation of future elementary teachers through classroom and field activities that explicitly promote the development of the component skills of professional noticing in the context of SEAL.

The Noticing Numeracy Now (N3) module, designed for replication, is being implemented at six universities, the three lead institutions along with Eastern Kentucky University, Murray State University and the University of Louisville. The student populations at these institutions represent cultural and socio-economic diversity, including underrepresented groups. Collectively, the six universities draw their student populations from culturally diverse, urban populations and predominately Appalachian rural populations. Many of the students are the first in their families to study at a university.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Schack, E. O, Fisher, M. H., Thomas, J., Eisenhardt, S., Tassell, J., Yoder, M. "Pre-Service Elementary Teachers? Professional Noticing of Children?s Early Numeracy" Journal of Mathematics Teacher Education , 2013 10.1007/s10857-013-9240-9

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

The intent of this study was to measure the professional noticing skills, attitudes and beliefs toward mathematics, and mathematics knowledge for teaching for preservice elementary teachers involved in a unique learning experience.  Each of the participating researchers taught a unique multi-session module in their elementary mathematics methods courses that embedded the Stages of Early Arithmetic Learning (SEAL) within a module intended to develop professional noticing skills.  Pre- and post- measures were collected for each of the variables being studied and analyses are continuing to be studied on those variables and their relationships.  Initial smaller sets of data have been analyzed for this report; however, data analyses is an ongoing process and there is more data to be studied.

Professional Noticing (Initial data, n = 94)

A Kruskal-Wallis test was conducted to determine whether there was a statistically significant difference of the changes of the scores from pre-test to post-test between the universities and those changes were not found to be significant in attending (χ2 = 2.022, df = 2, p = 0.364), interpreting (χ2 = 0.541, df = 2, p = 0.763), or deciding (χ2 = 0.837, df = 2, p = 0.364).  Despite the significantly lower starting score for deciding at University A, the lack of significance in the changes of the scores between universities indicates that all universities are growing at the same pace and the instructional module has a similar impact on the prospective elementary school teachers at the various institutions involved in the study. Therefore, subsequent analyses and discussion will focus on the entire group of participants instead of stratifying by university.

A Wilcoxon Signed Ranks test was conducted for each of the three questions to determine whether statistically significant gains were found for each component of professional noticing (attending, interpreting, and deciding). Statistically significant increases were found in all three components with deciding having the strongest increase. With lower pre-assessment scores, deciding had more room for growth.

Attitudes Toward Mathematics (Initial data, n = 123)

Paired t-tests were applied to ATMI data to examine PSET change in attitude toward mathematics from pre-assessment to post-assessment. There were statistically significant increases in the enjoyment, self-confidence and motivation factors. There was not a statistically significant change in the fourth factor, value, when all 123 cases were included. However, when the 15 cases that achieved the maximum possible score on the value factor on the pre-assessment were removed, there was a statistically significant increase in this factor from pre- to post-assessment (t = 2.181, p = 0.031).

Mathematics Knowledge for Teaching (Initial Data, n = 166)

When the overall means of the pre and post LMT assessments were compared, it was revealed that the overall mean of the LMT decreased. When they were compared to determine if there was a statistically significant decrease, a paired samples t-test revealed that this decrease was not statistically significant (t = 1.113, df = 165, p = .267).

 

Relationships Between Professional Noticing and Attitudes Toward Mathematics (Initial data, n = 123)

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