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Science and Mathematics Education Commons™

Open Access. Powered by Scholars. Published by Universities.®

Teacher Education and Professional Development

2014

Claremont Colleges

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Full-Text Articles in Science and Mathematics Education

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz Jan 2014

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

Journal of Humanistic Mathematics

While teaching college-level mathematics (from College Algebra to Calculus to Abstract Algebra), I have observed that students are often uncomfortable using negative exponents in calculations. I believe the fault partially lies in the manner in which negative exponents are taught in Algebra 1 or Algebra 2 courses, especially in rigid instructions always to write answers using only positive exponents. After reviewing a sample of algebra texts used in the United States over the last two centuries, it appears that while attitudes toward negative exponents have varied from author to author over time, the current trend is to declare explicitly that …

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An Investigation Of Teachers’ Noticing, Cognitive Demand, And Mathematical Knowledge For Teaching: Video Reflections In An Elementary Mathematics Context, Lorelei R. Coddington Jan 2014

An Investigation Of Teachers’ Noticing, Cognitive Demand, And Mathematical Knowledge For Teaching: Video Reflections In An Elementary Mathematics Context, Lorelei R. Coddington

CGU Theses & Dissertations

In the past decade, mathematics performance by all students, especially minority students in low socioeconomic schools, has shown limited improvement nationwide (NCES, 2011). Traditionally in the United States, mathematics has consisted of arithmetic and computational fluency; however, mathematics researchers widely believe that this method of instruction does not enhance the development of mathematical reasoning and ignores the research on students’ mathematical development (Blanton & Kaput, 2005; Stigler & Hiebert, 1999). Recommendations by the mathematics community are to broaden and strengthen teacher content knowledge in mathematics and to provide the pedagogical tools needed by teachers to extend their students’ thinking and …

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