Cosmic Questions Educator's Guide
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Stage 1: the Number Sequence
1 stage 1: the number sequence Big Idea: Quantity Quantity is the big idea that describes amounts, or sizes. It is a fundamental idea that refers to quantitative properties; the size of things (magnitude), and the number of things (multitude). Why is Quantity Important? Quantity means that numbers represent amounts. If students do not possess an understanding of Quantity, their knowledge of foundational mathematics will be undermined. Understanding Quantity helps students develop number conceptualization. In or- der for children to understand quantity, they need foundational experiences with counting, identifying numbers, sequencing, and comparing. Counting, and using numerals to quantify collections, form the developmental progression of experiences in Stage 1. Children who understand number concepts know that numbers are used to describe quantities and relationships’ between quantities. For example, the sequence of numbers is determined by each number’s magnitude, a concept that not all children understand. Without this underpinning of understanding, a child may perform rote responses, which will not stand the test of further, rigorous application. The developmental progression of experiences in Stage 1 help students actively grow a strong number knowledge base. Stage 1 Learning Progression Concept Standard Example Description Children complete short sequences of visual displays of quantities beginning with 1. Subsequently, the sequence shows gaps which the students need to fill in. The sequencing 1.1: Sequencing K.CC.2 1, 2, 3, 4, ? tasks ask students to show that they have quantity and number names in order of magnitude and to associate quantities with numerals. 1.2: Identifying Find the Students see the visual tool with a numeral beneath it. -
Using Concrete Scales: a Practical Framework for Effective Visual Depiction of Complex Measures Fanny Chevalier, Romain Vuillemot, Guia Gali
Using Concrete Scales: A Practical Framework for Effective Visual Depiction of Complex Measures Fanny Chevalier, Romain Vuillemot, Guia Gali To cite this version: Fanny Chevalier, Romain Vuillemot, Guia Gali. Using Concrete Scales: A Practical Framework for Effective Visual Depiction of Complex Measures. IEEE Transactions on Visualization and Computer Graphics, Institute of Electrical and Electronics Engineers, 2013, 19 (12), pp.2426-2435. 10.1109/TVCG.2013.210. hal-00851733v1 HAL Id: hal-00851733 https://hal.inria.fr/hal-00851733v1 Submitted on 8 Jan 2014 (v1), last revised 8 Jan 2014 (v2) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Using Concrete Scales: A Practical Framework for Effective Visual Depiction of Complex Measures Fanny Chevalier, Romain Vuillemot, and Guia Gali a b c Fig. 1. Illustrates popular representations of complex measures: (a) US Debt (Oto Godfrey, Demonocracy.info, 2011) explains the gravity of a 115 trillion dollar debt by progressively stacking 100 dollar bills next to familiar objects like an average-sized human, sports fields, or iconic New York city buildings [15] (b) Sugar stacks (adapted from SugarStacks.com) compares caloric counts contained in various foods and drinks using sugar cubes [32] and (c) How much water is on Earth? (Jack Cook, Woods Hole Oceanographic Institution and Howard Perlman, USGS, 2010) shows the volume of oceans and rivers as spheres whose sizes can be compared to that of Earth [38]. -
The Cosmic Calendar
The Cosmic Calendar Astronomers believe that the Cosmos in which the Solar System and Earth resides is about 16 billion years old. We believe the Earth is about 4.6 billion years old and base this on carbon dating of rocks both from Earth and the Moon. However, billions of years is a very hard thing to grasp! Fortunately there is a creative way to get a grasp on this kind of time and that is with the "cosmic calendar" which Carl Sagan created and popularized. We set the Big Bang on January 1st and divided the events into one year, with now being the first day of the next new year. Before you read further, take a guess at which month humans enter into the calendar! The first stars and galaxies did not begin to form until the universe had cooled and expanded. Our Milky Way galaxy comes into existence on May 1st of our calendar. Our Solar System forms September 9th and the Earth on September 14th. The "infant" Earth was a hot, molten and toxic place, nothing like the paradise we know today. As Earth cooled, the first rocks solidified on October 2nd. The oldest known fossils, nothing more complex than bacteria and bluegreen algae, appear October 9th on our cosmic calendar. These early life forms reproduced by splitting cells. Sexes did not begin as a means of reproduction until about November first. The most basic plants which used photosynthesis to get energy, appear on November 12th. The first cells with nuclei, eukaryotes, appear on November 15th, and begin to flourish immediately. -
Central Coast Astronomy Virtual Star Party May 15Th 7Pm Pacific
Central Coast Astronomy Virtual Star Party May 15th 7pm Pacific Welcome to our Virtual Star Gazing session! We’ll be focusing on objects you can see with binoculars or a small telescope, so after our session, you can simply walk outside, look up, and understand what you’re looking at. CCAS President Aurora Lipper and astronomer Kent Wallace will bring you a virtual “tour of the night sky” where you can discover, learn, and ask questions as we go along! All you need is an internet connection. You can use an iPad, laptop, computer or cell phone. When 7pm on Saturday night rolls around, click the link on our website to join our class. CentralCoastAstronomy.org/stargaze Before our session starts: Step 1: Download your free map of the night sky: SkyMaps.com They have it available for Northern and Southern hemispheres. Step 2: Print out this document and use it to take notes during our time on Saturday. This document highlights the objects we will focus on in our session together. Celestial Objects: Moon: The moon 4 days after new, which is excellent for star gazing! *Image credit: all astrophotography images are courtesy of NASA & ESO unless otherwise noted. All planetarium images are courtesy of Stellarium. Central Coast Astronomy CentralCoastAstronomy.org Page 1 Main Focus for the Session: 1. Canes Venatici (The Hunting Dogs) 2. Boötes (the Herdsman) 3. Coma Berenices (Hair of Berenice) 4. Virgo (the Virgin) Central Coast Astronomy CentralCoastAstronomy.org Page 2 Canes Venatici (the Hunting Dogs) Canes Venatici, The Hunting Dogs, a modern constellation created by Polish astronomer Johannes Hevelius in 1687. -
RADIAL VELOCITIES in the ZODIACAL DUST CLOUD
A SURVEY OF RADIAL VELOCITIES in the ZODIACAL DUST CLOUD Brian Harold May Astrophysics Group Department of Physics Imperial College London Thesis submitted for the Degree of Doctor of Philosophy to Imperial College of Science, Technology and Medicine London · 2007 · 2 Abstract This thesis documents the building of a pressure-scanned Fabry-Perot Spectrometer, equipped with a photomultiplier and pulse-counting electronics, and its deployment at the Observatorio del Teide at Izaña in Tenerife, at an altitude of 7,700 feet (2567 m), for the purpose of recording high-resolution spectra of the Zodiacal Light. The aim was to achieve the first systematic mapping of the MgI absorption line in the Night Sky, as a function of position in heliocentric coordinates, covering especially the plane of the ecliptic, for a wide variety of elongations from the Sun. More than 250 scans of both morning and evening Zodiacal Light were obtained, in two observing periods – September-October 1971, and April 1972. The scans, as expected, showed profiles modified by components variously Doppler-shifted with respect to the unshifted shape seen in daylight. Unexpectedly, MgI emission was also discovered. These observations covered for the first time a span of elongations from 25º East, through 180º (the Gegenschein), to 27º West, and recorded average shifts of up to six tenths of an angstrom, corresponding to a maximum radial velocity relative to the Earth of about 40 km/s. The set of spectra obtained is in this thesis compared with predictions made from a number of different models of a dust cloud, assuming various distributions of dust density as a function of position and particle size, and differing assumptions about their speed and direction. -
Imagining Outer Space Also by Alexander C
Imagining Outer Space Also by Alexander C. T. Geppert FLEETING CITIES Imperial Expositions in Fin-de-Siècle Europe Co-Edited EUROPEAN EGO-HISTORIES Historiography and the Self, 1970–2000 ORTE DES OKKULTEN ESPOSIZIONI IN EUROPA TRA OTTO E NOVECENTO Spazi, organizzazione, rappresentazioni ORTSGESPRÄCHE Raum und Kommunikation im 19. und 20. Jahrhundert NEW DANGEROUS LIAISONS Discourses on Europe and Love in the Twentieth Century WUNDER Poetik und Politik des Staunens im 20. Jahrhundert Imagining Outer Space European Astroculture in the Twentieth Century Edited by Alexander C. T. Geppert Emmy Noether Research Group Director Freie Universität Berlin Editorial matter, selection and introduction © Alexander C. T. Geppert 2012 Chapter 6 (by Michael J. Neufeld) © the Smithsonian Institution 2012 All remaining chapters © their respective authors 2012 All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No portion of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, Saffron House, 6–10 Kirby Street, London EC1N 8TS. Any person who does any unauthorized act in relation to this publication may be liable to criminal prosecution and civil claims for damages. The authors have asserted their rights to be identified as the authors of this work in accordance with the Copyright, Designs and Patents Act 1988. First published 2012 by PALGRAVE MACMILLAN Palgrave Macmillan in the UK is an imprint of Macmillan Publishers Limited, registered in England, company number 785998, of Houndmills, Basingstoke, Hampshire RG21 6XS. -
Lecture 2: Cosmic Calendar Lecture 3
LLeeccttuurree 11:: OOuurr CCoossmmiicc AAddddrreessss Local supercluster SCI 199Y second term: Local group 60 million Milky Way galaxycontains Astronomy @ the Frontiers light-years ~100 billion stars 14 billion 2.5 million 28,000 light-years light-years light-years Universe contains Prof. Yanqin Wu ~100 billion galaxies Earth Solar system (not to scale) 1) Review last term and connection to this term 0.04 light-seconds 2) technical details 8 light-minutes 3) Measuring distances – the universe is expanding! LLeeccttuurree 22:: CCoossmmiicc CCaalleennddaarr LLeeccttuurree 33:: TThhee January February March April SScciieennccee ooff 1 Big Bang AAssttrroonnoommyy May June July August Loop: you can never 1 Milky Way Loop: you can never born prove a hypothesis, you can only disprove (“falsify”) it September October November December 9 Solar system 2 Oldest rocks 1 Sex invented 1 Oxygen in air A scientific statement born known 12 Oldest fossil 17 Cambrian is falsifiable. 14 Earth forms 9 Oldest fossils plant 27 Jurassic 25 First life on (bacteria/blue- 15 Eukaryotes 30 Dinos extinct Earth? green algae) flourish 31 ... Next slide n o o M e h t f o s Seasons e s a h P LLaawwss ooff GGrraavviittyy LIGHT: wave/particle M M F =G 1 2 g d 2 M 1 M 2 d 2M2 2d wavelength energy Spectrum TTeelleessccooppeess Atmosphere not transparent at all wavelengths; for all but visible and radio, need to go up! e IInstantnstant QQuuiziz:: e r WhWhaatt keekeeppss tthehe SuSunn shshiningining?? r u u t t a a r r On fire? 1 hand up r On fire? 1 hand up r e e Too little -
The Mid-Infrared Extinction Law in the Ophiuchus, Perseus, and Serpens
The Mid-Infrared Extinction Law in the Ophiuchus, Perseus, and Serpens Molecular Clouds Nicholas L. Chapman1,2, Lee G. Mundy1, Shih-Ping Lai3, Neal J. Evans II4 ABSTRACT We compute the mid-infrared extinction law from 3.6−24µm in three molecu- lar clouds: Ophiuchus, Perseus, and Serpens, by combining data from the “Cores to Disks” Spitzer Legacy Science program with deep JHKs imaging. Using a new technique, we are able to calculate the line-of-sight extinction law towards each background star in our fields. With these line-of-sight measurements, we create, for the first time, maps of the χ2 deviation of the data from two extinc- tion law models. Because our χ2 maps have the same spatial resolution as our extinction maps, we can directly observe the changing extinction law as a func- tion of the total column density. In the Spitzer IRAC bands, 3.6 − 8 µm, we see evidence for grain growth. Below AKs =0.5, our extinction law is well-fit by the Weingartner & Draine (2001) RV = 3.1 diffuse interstellar medium dust model. As the extinction increases, our law gradually flattens, and for AKs ≥ 1, the data are more consistent with the Weingartner & Draine RV = 5.5 model that uses larger maximum dust grain sizes. At 24 µm, our extinction law is 2 − 4× higher than the values predicted by theoretical dust models, but is more consistent with the observational results of Flaherty et al. (2007). Lastly, from our χ2 maps we identify a region in Perseus where the IRAC extinction law is anomalously high considering its column density. -
GALAXIES WHAT ARE the DEEP SKY OBJECTS? •Deep-Sky Objects Are Astronomical Objects Other Than Individual Stars and Solar System Objects (Sun, Moon, Planets, Comets)
GALAXIES WHAT ARE THE DEEP SKY OBJECTS? •Deep-sky objects are astronomical objects other than individual stars and solar system objects (Sun, Moon, planets, comets). TYPES OF DEEP SKY OBJECTS •Nebulae •Clusters •Galaxies CHARLES MESSIER • Known for the Messier catalogue of galaxies, nebulae and star clusters M1 to M110 • He was a French astronomer who lived in the 18th century. • He was a comet hunter and the purpose of the catalogue was to record the sky objects that looked as comets but were not comets because they would not move in the sky. UNITS TO MEASURE DISTANCE • A Light-year is the distance that light travels in a year with a speed of approximately 300,000 kilometers per second • Closest star to the Sun is Proxima Centauri at 4.37 light years. • A Parsec is the equal to about 3.26 light years GALAXIES • A galaxy is an enormous collection of gas, dust and billions of stars held together by gravity. One galaxy can have hundreds of billions of stars and be as large as 200,000 light years across. • Galaxy is derived from the Greek galaxias meaning "milky", a reference to the Milky Way. • Many galaxies are believed to have black holes at their active center. The Milky Way's central black hole, known as Sagittarius A, has a mass four million times that of our Sun. GALAXIES FACTS • There are potentially more than 170 billion galaxies in the observable universe. Some, called dwarf galaxies, are very small with about 10 million stars, while others are huge containing an estimated 100 trillion stars. -
DEEP FUTURE of BIG HISTORY: Cultural Evolution, Technoculture, and Omega Civilization
DEEP FUTURE of BIG HISTORY: Cultural Evolution, Technoculture, and Omega Civilization Cadell Last Global Brain Institute Vrije Universiteit Brussel (Free University of Brussels) http://cadelllast.com [email protected] (v1.3., September 22, 2014) ABSTRACT: The study of big history attempts to identify major trends and processes throughout the development and evolution of the local universe. Big history has allowed for the integration of many disparate academic subjects, revealing a science and art of studying the emergence of complexity, the relation between evolutionary processes, and the cosmic context of the human experience. Current big historical data and theory identifies “Three Eras” of ordered and organizing complexity regimes: Physical, Biological, and Cultural Eras. These Eras change as a consequence of “Three Evolutionary Processes”: Physical, Biological, and Cultural Evolution. Contemporary science has developed the necessary tools to extrapolate and make predictions about the future of both the Physical and Biological Eras of evolution, but the potential future of the Cultural Era of evolution remains mysterious, yet intriguing. Cosmological theory predicts that all Eras will eventually end in thermodynamic equilibrium, or “heat death”. However, throughout the history of the cosmos, complexity and order have steadily increased in our local region of the universe, drifting further and further from simplicity and thermodynamic equilibrium in the process. Physical systems achieve higher order through gravitationally influenced energy flows; and living systems achieve higher organization through an information-based regulation of energy flows. Both processes contribute to the cosmic evolutionary trends of increased material integration, variation, and space-time compression. Cosmic evolution is fundamentally unified throughout this complexification process, manifesting as physicochemical, biochemical, and biocultural evolution, respectively. -
The Cosmos and Theological Reflection: the Priority of Self-Transcendence Paul Allen
Document generated on 09/30/2021 12:09 p.m. Théologiques The Cosmos and Theological Reflection: The Priority of Self-Transcendence Paul Allen Les cosmologies Article abstract Volume 9, Number 1, printemps 2001 In this article, I argue that the primary significance of cosmology for theology is through a notion of self-transcendence. It is an inherently theological notion URI: https://id.erudit.org/iderudit/005683ar arising within cosmology. It points to the realm of interiority claimed by DOI: https://doi.org/10.7202/005683ar contemporary theology. Employing the thought of Ernan McMullin in particular, I claim that self-transcendence emerges within cosmological See table of contents inquiry when it becomes philosophy, and when extrapolation is involved. A theological thrust to cosmology is confirmed when one understands the limits of cosmology as an empirical discipline amidst the existential questions that can be posed about the meaning of the universe, a development well illustrated Publisher(s) by the anthropic principle. Faculté de théologie de l'Université de Montréal ISSN 1188-7109 (print) 1492-1413 (digital) Explore this journal Cite this article Allen, P. (2001). The Cosmos and Theological Reflection: The Priority of Self-Transcendence. Théologiques, 9(1), 71–93. https://doi.org/10.7202/005683ar Tous droits réservés © Faculté de théologie de l’Université de Montréal, 2001 This document is protected by copyright law. Use of the services of Érudit (including reproduction) is subject to its terms and conditions, which can be viewed online. https://apropos.erudit.org/en/users/policy-on-use/ This article is disseminated and preserved by Érudit. -
Claudius Ptolemy: Tetrabiblos
CLAUDIUS PTOLEMY: TETRABIBLOS OR THE QUADRIPARTITE MATHEMATICAL TREATISE FOUR BOOKS OF THE INFLUENCE OF THE STARS TRANSLATED FROM THE GREEK PARAPHRASE OF PROCLUS BY J. M. ASHMAND London, Davis and Dickson [1822] This version courtesy of http://www.classicalastrologer.com/ Revised 04-09-2008 Foreword It is fair to say that Claudius Ptolemy made the greatest single contribution to the preservation and transmission of astrological and astronomical knowledge of the Classical and Ancient world. No study of Traditional Astrology can ignore the importance and influence of this encyclopaedic work. It speaks not only of the stars, but of a distinct cosmology that prevailed until the 18th century. It is easy to jeer at someone who thinks the earth is the cosmic centre and refers to it as existing in a sublunary sphere. However, our current knowledge tells us that the universe is infinite. It seems to me that in an infinite universe, any given point must be the centre. Sometimes scientists are not so scientific. The fact is, it still applies to us for our purposes and even the most rational among us do not refer to sunrise as earth set. It practical terms, the Moon does have the most immediate effect on the Earth which is, after all, our point of reference. She turns the tides, influences vegetative growth and the menstrual cycle. What has become known as the Ptolemaic Universe, consisted of concentric circles emanating from Earth to the eighth sphere of the Fixed Stars, also known as the Empyrean. This cosmology is as spiritual as it is physical.