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Science and Mathematics Education Commons™

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Claremont Colleges

2014

Articles 1 - 6 of 6

Full-Text Articles in Science and Mathematics Education

The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”, Michael N. Fried Jul 2014

The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”, Michael N. Fried

Journal of Humanistic Mathematics

Teachers and students of mathematics often view history of mathematics as just mathematics as they know it, but in another form. This view is based on a misunderstanding of the nature of history of mathematics and the kind of knowledge it attempts to acquire. Unfortunately, it can also lead to a deep sense of disappointment with the history of mathematics itself, and, ultimately, a misunderstanding of the historical nature of mathematics. This kind of misunderstanding and the disappointment following from it--both raised to the level of resentment--run through the paper "A Critique of the Modern Consensus in the Historiography of …

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Two Bit Circus, Elise Lemle Feb 2014

Two Bit Circus, Elise Lemle

The STEAM Journal

Two Bit Circus collaborated with the Girl Scouts of the Greater Los Angeles Area to explore the exciting world of wearable electronics. Over the course of the program, the students explored concepts of introductory electronics while designing and creating their own illuminated fashion piece. The program was held in Montrose, CA in Fall 2013. The students were approximately 10 girls ages seven to 14. The program was held over seven sessions with each session lasting 80 minutes.

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Full Steam Ahead: Creativity In Excellent Stem Teaching Practices, Danah Henriksen Feb 2014

Full Steam Ahead: Creativity In Excellent Stem Teaching Practices, Danah Henriksen

The STEAM Journal

This article emphasizes the value of creativity and arts-based learning in the sciences (STEAM education), using one example from a recent research study of creative and effective classroom teachers. The future of innovative thinking in STEM disciplines relies on breaking down the distinction between disciplines traditionally seen as “creative” like the arts or music, and STEM disciplines traditionally seen as more rigid or logical-mathematical (Catterall, 2002). The most exceptional thinkers in fields like science or math are also highly creative individuals who are deeply influenced by an interest in, and knowledge of, music, the arts and similar areas (Caper, 1996; …

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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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Benjamin Banneker's Original Handwritten Document: Observations And Study Of The Cicada, Janet E. Barber, Asamoah Nkwanta Jan 2014

Benjamin Banneker's Original Handwritten Document: Observations And Study Of The Cicada, Janet E. Barber, Asamoah Nkwanta

Journal of Humanistic Mathematics

Benjamin Banneker, farmer, mathematician, astronomer, and scientist, is known for his mathematical puzzles, ephemeris calculations, almanacs, his wooden clock, land surveying work, and famous letter on human rights. However, as a naturalist, his scientific and systematic observations of the cicadas are less known. In this paper we publicize Banneker’s naturalistic study of the seventeen-year periodic cycle of the cicada and make available the original handwritten document of his observations. We also introduce the audience of this journal to an intriguing natural problem involving prime numbers.

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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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