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Algebra Rules Object Boxes As An Authentic Assessment Task Of Preservice Elementary Teacher Learning In A Mathematics Methods Course, Audrey C. Rule, J. E. Hallagan
Algebra Rules Object Boxes As An Authentic Assessment Task Of Preservice Elementary Teacher Learning In A Mathematics Methods Course, Audrey C. Rule, J. E. Hallagan
Open Educational Resources
The purpose of this study was to describe elementary preservice teachers’ difficulties with understanding algebraic generalizations that were set in an authentic context. Fifty-eight preservice teachers enrolled in an elementary mathematics methods course participated in the study. These students explored and practiced with authentic, hands-on materials called “object boxes,” then created sets of their own object box materials. Each algebra rules object box contained materials to illustrate and describe four different algebraic generalizations, or “rules.” The variables “n” and “z” were used in each of the generalizations. For each generalization, there was a set of objects attached to a piece …
Preservice Elementary Teachers' Images Of Inventors, Audrey C. Rule, E. L. Bisbo, V. Waloven
Preservice Elementary Teachers' Images Of Inventors, Audrey C. Rule, E. L. Bisbo, V. Waloven
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Technology and invention are an integral part of the elementary school science curriculum, addressed by national standards. Student drawings of scientists have been studied extensively, but little is known of student mental conceptions and drawings of inventors. To uncover student’s images of inventors, ninety preservice elementary teachers at a mid-sized college in central New York State drew images of both inventors and scientists, which were analyzed and compared. Both sets of drawings portrayed white, mostly male figures. Scientists were shown wearing lab coats and working with fuming chemicals in a lab, while inventors more often wore casual clothing and were …
Preservice Elementary Teachers Use Drawings And Make Sets Of Materials To Explain Multiplication And Division By Fractions, Audrey C. Rule, J. E. Hallagan
Preservice Elementary Teachers Use Drawings And Make Sets Of Materials To Explain Multiplication And Division By Fractions, Audrey C. Rule, J. E. Hallagan
Open Educational Resources
Background: Multiplication and division by fractions are among the most troublesome concepts in the elementary mathematics curriculum. Recent studies have shown that preservice elementary teachers in the United States do not have deep understandings of these concepts. Effective ways to improve preservice teachers' conceptual understanding of these concepts need to be identified. Citation: Rule, A. C., & Hallagan, J., editors. (2006). Preservice elementary teachers use drawings and make sets of materials to explain multiplication and division by fractions. A research study presented at the 2nd Annual Preparing Mathematicians to Educate Teachers (PMET) Conference at Oswego, New York, June 6, 2006. …