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Osborne, Jason M.; Cook, William; Bossé, Michael J. – PRIMUS, 2021
In this paper we introduce the reader to a foundational topic of differential geometry: the curvature of a curve. To make this topic engaging to a wide audience of readers, we develop this intuitive introduction employing only basic geometry without calculus and derivatives. It is hoped that this introduction will encourage many more to both…
Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, High Schools
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Worthley, Mary R.; Gloeckner, Gene W.; Kennedy, Paul A. – PRIMUS, 2016
In this study we aimed to understand who was struggling in freshman calculus courses, and why. Concentrating on the Fall sections of the class, the best predictors for success (R[superscript 2] = 0.4) were placement test results, the student's own appraisal of the quality of mathematics teaching they received in high school, and the Motivated…
Descriptors: Mixed Methods Research, Calculus, College Freshmen, College Mathematics
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Denny, Jeffrey K.; Nelson, David G.; Zhao, Martin Q. – PRIMUS, 2012
In the mid-1990s, Mercer University's undergraduate schools placed incoming freshmen in their first mathematics course, using only their scores on the mathematics portion of the SAT (SATM). This placement policy was strongly supported by the admissions office because it did not require additional testing of the freshmen in their on-campus summer…
Descriptors: College Freshmen, College Mathematics, Institutional Research, Grade Point Average
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Yopp, David A. – PRIMUS, 2012
Considerable literature has documented both the pros and cons of students' use of empirical evidence during proving activities. This article presents an analysis of a classroom episode involving in-service middle school, high school, and college teachers that demonstrates that learners need not be steered away from empirical investigations during…
Descriptors: Persuasive Discourse, Geometry, Middle School Teachers, Secondary School Teachers
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Santos-Trigo, Manuel; Barrera-Mora, Fernando – PRIMUS, 2011
The study documents the extent to which high school teachers reflect on their need to revise and extend their mathematical and practicing knowledge. In this context, teachers worked on a set of tasks as a part of an inquiring community that promoted the use of different computational tools in problem solving approaches. Results indicated that the…
Descriptors: High Schools, Problem Solving, Calculators, Secondary School Teachers
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Norman, Ke Wu; Medhanie, Amanuel G.; Harwell, Michael R.; Anderson, Edwin; Post, Thomas R. – PRIMUS, 2011
Recent "math wars" have drawn attention to how well various high school mathematics curricula prepare students for college-level mathematics. The purpose of this study was to investigate the relationship between the high school mathematics curricula and students' post-secondary mathematics placement recommendation, specifically how…
Descriptors: High Schools, College Mathematics, Student Placement, Mathematics Curriculum
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Winsor, Matthew S. – PRIMUS, 2009
This article describes the goals of a capstone course for secondary preservice mathematics teachers and how those goals are achieved. Moreover, student reaction to the course will be examined.
Descriptors: Mathematics Teachers, Preservice Teacher Education, Secondary School Mathematics, High Schools
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Fulton, James P.; Sabatino, Linda – PRIMUS, 2008
During the last two years we have developed a precalculus course customized around biology by using the scientific method as a framework to engage and motivate biology students. Historically, the precalculus and calculus courses required for the Suffolk County Community College biology curriculum were designed using examples from the physical…
Descriptors: Scientific Methodology, Biology, Sciences, Calculus
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Gieger, Judith Lynn – PRIMUS, 2007
One of the most publicly celebrated figures in mathematics teaching during the last century was Jaime Escalante (dramatized in the film "Stand and Deliver"). The Escalante story aptly fulfills three prevailing myths about effective teachers: the Teacher is self-made, the Teacher is the expert, and everything depends on the Teacher. These…
Descriptors: Teacher Effectiveness, Federal Legislation, Mythology, Mathematics Teachers
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Cullinane, Michael J. – PRIMUS, 2005
Mathematics majors' study of abstract algebra should provide these students with opportunities to connect what they are learning to their prior experiences with algebra in high school. This paper illustrates how such connections can be used to motivate the notion of binary operation and the axioms for a group.
Descriptors: High Schools, Algebra, Secondary School Mathematics, Correlation
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Horn, Werner; Zakeri, Gholam-Ali – Primus, 1998
Presents a medley of proofs and topics related to the Pythagorean Theorem. Provides a resource for teachers and students in high school and undergraduate liberal arts education as well as a starting point for in-class research projects in geometry and the history of mathematics. Contains 20 references. (Author/ASK)
Descriptors: Educational Resources, Geometric Concepts, Geometry, High Schools
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Mathews, Susann; Mathews, Kirk – Primus, 1999
Demonstrates examples, one of which is an extension of "guess and check," to include variables rather than numbers. The quadratic equation az2+bz+c=0, is solved by assuming a complex solution of the form z=x+iy. Explores the use of deMoivre's theorem in deriving trigonometric identities with other examples. (Author/ASK)
Descriptors: College Mathematics, College Preparation, Equations (Mathematics), High Schools
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Teles, Elizabeth J. – Primus, 1992
Discusses results from studies reported from 1958-86 examining the different methods of teaching calculus. Alternatives to lecture presentations to supplement and enhance learning include discovery and group learning, self-paced classes, programed materials, and use of computers. (over 50 references) (MDH)
Descriptors: Calculus, Computer Assisted Instruction, Computers, Cooperative Learning
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McDonald, Michael A.; And Others – Primus, 1996
Discusses a precalculus project in which students create a model United Nations to present and discuss the long-term prognosis for individual countries given data on population growth and food production. Students compare exponential and linear functions to determine whether starvation will occur and prepare oral and written presentations of their…
Descriptors: Calculus, Functions (Mathematics), High Schools, Higher Education