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1. Discovery: Prime Numbers (EJ802693)
Author(s):
de Mestre, Neville
Source:
Australian Mathematics Teacher, v64 n2 p18-19 2008
Pub Date:
2008-00-00
Pub Type(s):
Journal Articles; Reports - Descriptive
Peer-Reviewed:
Yes
Descriptors: Numbers; Number Concepts; Mathematics Instruction; Mathematical Formulas; Problem Solving
Abstract: Prime numbers are important as the building blocks for the set of all natural numbers, because prime factorisation is an important and useful property of all natural numbers. Students can discover them by using the method known as the Sieve of Eratosthenes, named after the Greek geographer and astronomer who lived from c. 276-194 BC. Eratosthenes was also famous for being the first to scientifically calculate the Earth's circumference, which he did correctly to within 80 km. In this article, the author illustrates Eratosthenes' method for obtaining the primes. (Contains 1 figure.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
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2. Astronomy Education: Becoming a Hybrid Researcher (EJ800339)
Brogt, Erik
Journal of Research Practice, v3 n1 article M2 2007
2007-00-00
Descriptors: Foreign Students; Graduate Students; Astronomy; Educational Research; Research Methodology; Student Interests; Scientific Research; Student Experience; Phenomenology; Scientific Methodology; Interdisciplinary Approach
Abstract: This article describes the experiences of a former astronomer who is making the transition to astronomy education research as an international graduate student in the United States. The article describes the author's encounters with education research, its methodologies, and his changing research interests as he progresses through the graduate program. It also describes his experiences with the busy life of a graduate student in American academia and his experiences as an international student. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
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3. Generalizations of Ptolemy and Brahmagupta Theorems (EJ769623)
Ayoub, Ayoub B.
Mathematics and Computer Education, v41 n1 p30-36 Win 2007
Descriptors: Geometric Concepts; Mathematics Instruction; Theories; Mathematics; Mathematical Logic; Validity; Mathematical Formulas; Mathematics Education; History
Abstract: The Greek astronomer Ptolemy of Alexandria (second century) and the Indian mathematician Brahmagupta (sixth century) each have a significant theorem named after them. Both theorems have to do with cyclic quadrilaterals. Ptolemy's theorem states that: In a cyclic quadrilateral, the product of the diagonals is equal to the sum of the products of two pairs of opposite sides. If the lengths of the sides of a cyclic quadrilateral are a, b, c, d in this order and the lengths of the diagonals are l and k, then Ptolemy's theorem would be expressed as lk = ac + bd. On the other hand, Brahmagupta came up with a remarkable formula for the area E of the cyclic quadrilateral, that is E = [square root](s-a)(s-b)(s-c)(s-d), where s stands for the semiperimeter 1/2(a+b+c+d). Around the middle of the 19th century, there appeared generalizations for both theorems that apply to any convex quadrilateral. The German mathematicians C. A. Bretschneider and F. Strehlke each published their own proofs of the generalizations. Since then, more proofs have shown up in the literature. This paper presents new proofs, which could be used in the classroom or as projects outside the classroom. In addition, it looks into some implications of the two generalizations, and shows that they are not independent of each other. (Contains 1 figure.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
4. Benjamin Banneker and the Law of Sines (EJ717749)
Mahoney, John F.
Mathematics Teacher, v98 n6 p390 Feb 2005
2005-02-01
Descriptors: Mathematics; Astronomy; Numbers; Problem Solving; Mathematical Formulas; Scientific Principles
Abstract: Benjamin Banneker, a self-taught mathematician, surveyor and astronomer published annual almanacs containing his astronomical observations and predictions. Banneker who also used logarithms to apply the Law of Sines believed that the method used to solve a mathematical problem depends on the tools available.
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5. Remote Access Astronomy (EJ775650)
Beare, Richard; Bowdley, David; Newsam, Andrew; Roche, Paul
Physics Education, v38 n3 p232-236 May 2003
2003-05-00
Descriptors: Astronomy; Laboratory Equipment; Science Instruction; Computer Uses in Education; Robotics; Internet; Elementary Secondary Education; Higher Education; Observation; Foreign Countries
Abstract: There is still nothing to beat the excitement and fulfilment that you can get from observing celestial bodies on a clear dark night, in a remote location away from the seemingly ever increasing light pollution from cities. However, it is also the specific requirements for good observing that can sometimes prevent teachers from offering this opportunity to their students. Compromises for a town-based school or college might be to view only bright objects such as planets, or stars of magnitude 4 or brighter because of light pollution, but you would still require a knowledgeable teacher or astronomer and equipment to take outside with the students. Remote access astronomy using robotic telescopes can partly provide a solution to these problems and also opens up the doors to exciting projects that may otherwise be inaccessible to schools and colleges. (Contains 2 figures and 8 online resources.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
6. El Universo a Sus Pies: Actividades y Recursos para Astronomia (Universe at Your Fingertips: An Astronomy Activity and Resource Notebook). (ED482735)
Fraknoi, Andrew, Ed.; Schatz, Dennis, Ed.
N/A
2002-00-00
Books; Reports - Descriptive
Descriptors: Astronomy; Earth Science; Elementary Secondary Education; Interdisciplinary Approach; Lesson Plans; Science Activities; Science Curriculum; Space Sciences; Teaching Guides; Units of Study
Abstract: The goal of this resource notebook is to provide activities selected by astronomers and classroom teachers, comprehensive resource lists and bibliographies, background material on astronomical topics, and teaching ideas from experienced astronomy educators. Activities are grouped into several major areas of study in astronomy including lunar phases and eclipses, the sun and the seasons, the planets, the scale of the solar system, comets and meteors, star-finding and constellations, stars, galaxies and the universe, space exploration and the Search for Extra-Terrestrial Intelligence (SETI), tools of the astronomer, debunking pseudoscience, and astronomy in different cultures. An extensive glossary and a section that provides interdisciplinary teaching ideas are included. (DDR) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
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7. Project ASTRO: A Partnership. (EJ649536)
Rothenberger, Lisa
Science Scope, v25 n3 p32-35 Nov-Dec 2001
2001-00-00
Guides - Classroom - Teacher; Journal Articles
Descriptors: Astronomy; Elementary Secondary Education; Hands on Science; School Community Relationship; Science Activities; Scientists; Space Sciences
Abstract: Describes a project that enriches astronomy lessons with hands-on activities facilitated by an astronomer. The project links professional and amateur astronomers with middle-level classroom teachers and informal educators. Families and community organizations are also involved in the project. Provides information on how to join the ASTRO network. (DLH)
8. Bibliography of Writings by A.J. Meadows. (EJ618370)
Line, Maurice B.
Journal of Documentation, v56 n4 p351-60 Jul 2000
2000-00-00
Journal Articles; Reference Materials - Bibliographies
Descriptors: Bibliographies; Information Industry; Information Science; Information Scientists; Information Sources; Library Science; Publications; Scholarly Communication; Scholarly Writing; Technological Advancement
Abstract: This chronological bibliography of writings (1967-1999) by A.J. Meadows, astronomer, historian of science, and information scientist, is restricted to papers and book reviews on library and information science, publishing and scientific communication. It excludes works on the history of science and astronomy. It aims at completeness, though some items may not have been discovered. (AEF) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
9. Students Creating Their Own Thinking-Learning Contexts. (ED441037)
Alvarez, Marino C.; Burks, Geoffrey; Sotoohi, Goli; King, Terry; Hulan, Bobby; Graham, Adelicia
2000-04-00
Reports - Research; Speeches/Meeting Papers; Tests/Questionnaires
Descriptors: High School Students; High Schools; Interdisciplinary Approach; Learning; Problem Solving; Student Attitudes; Summer Programs; Thinking Skills
Abstract: This paper focuses on 2 high school students and their thoughts and feelings as they engaged in a topic of their own choosing during a 2-month summer action research program. Their high school astronomy teacher monitored their choice of topic and progress. The students engaged in authentic tasks and used materials couched in problem-oriented formats within meaningful learning contexts designed to foster thinking and learning. These students worked as a team, but pursued individual paths of inquiry using critical and imaginative thinking and engaged in social and solitary contexts that involved them in writing, intervening, and reflecting on ideas gleaned from conversations and readings (electronic and conventional) with a university educator and an astronomer/educator during their self-directed case-based research. The process engaged students in formal skills such as written communication, literacy, logic, and calculation using an innovative electronic interactive network. Evaluations of timed writings, concept maps, notebook entries, and vee diagrams are presented and discussed. Two appendixes describe the action research project and the scoring criteria for concept maps, and the third presents the survey the students completed. (Contains 5 figures and 39 references.) (Author/SLD) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
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10. Imagine the Universe! Version 3. [CD-ROM]. (ED431592)
Whitlock, Laura; Bene, Meredith; Granger, Kara
1999-03-00
Non-Print Media
Descriptors: Astronomy; Earth Science; Elementary Secondary Education; Hands On Science; Integrated Activities; Optical Data Disks; Science Instruction; Space Sciences; Teaching Methods; World Wide Web
Abstract: This CD-ROM contains four astronomy and space science learning center sites individually captured from the World Wide Web in January of 1999. Each site contains its own learning adventure full of facts, fun, music, beautiful images, movies, and excitement. Space science learning sites include: (1) Imagine the Universe! geared for ages 14 and up and dedicated to a discussion about the universe--what is known about it, how it is evolving, the kinds of objects and phenomena it contains, and resources for educators; (2) Star Child, an award-winning site for younger astronomers between the ages of 4-14 that introduces the solar system, the universe, and space exploration and includes activities, movies, and puzzles; (3) Astronomy Picture of the Day, which contains different images or photographs of the universe along with a brief explanation written by a professional astronomer; and (4) AstroCapella, a collection of rock music-inspired a cappella tunes and hands-on activities on the wonders of the universe. (CCM) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract
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