Verfügbarkeit: Introducing gifted students to the wonders of mathematics

Introducing gifted students to the wonders of mathematics: preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities]

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Bibliographische Detailangaben
1. Verfasser:	Sganga, Francis T. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Manassas, Va. Gifted Education Press 2004
Schlagworte:	Mathematics / Study and teaching (Middle school) / Activity programs Gifted children / Education Erziehung Mathematik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	II, 71 Bl. Ill., graph. Darst. 28 cm

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MARC


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245	1	0	\|a Introducing gifted students to the wonders of mathematics \|b preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] \|c by Francis T. Sganga
264		1	\|a Manassas, Va. \|b Gifted Education Press \|c 2004
300			\|a II, 71 Bl. \|b Ill., graph. Darst. \|c 28 cm
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650		4	\|a Mathematics / Study and teaching (Middle school) / Activity programs
650		4	\|a Gifted children / Education
650		4	\|a Erziehung
650		4	\|a Mathematik
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Datensatz im Suchindex

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adam_text	TABLE OF CONTENTS TOREWORD .............................................................................................................................. і LIST OF MATERIALS ................................................................................................................» CHAPTER 1. MATHEMATICS IN ART AND NATURE What Is A Rectangle? .....................................................................................................................1 What Is An Angle? .........................................................................................................................1 The Golden Rectangle And The Parthenon ............................................................................................2 The Golden Rectangle: A Blend Of Art and Mathematics ............................................................................3 TheGoldenÄráo ...........................................................................................................................3 ACTIVITY «.GEOMETRIC CONSTRUCTION OF A GOLDEN RECT ANGLE .....................................4 An Interesting Fact About Golden Rectangles .......................................................................................6 ACTIVITY #2. CONSTRUCTING A SPIRAL INSIDE A GOLDEN RECTANGLE ..................................... б Spirals In Nature ..............................................................................................................................9 Sea-Shells ...................................................................................................................................9 Hurricanes ...................................................................................................................................9 Galaxies .......................................................................................................................................9 ACTIVITY #3. USING GEOMETRY TO CREATE Á SPIRAL .............................................................10 MEMORY CHECK ....................................................................................................................12 CHAPTER 2. A WORLD-FAMOUS NUMBER NAMED PHI ...............................................................13 Two World-Famous Numbers ...........................................................................................................13 Believe It Or Not, Numbers Can Be Irrational ............................................................................................13 The Pythagorean Brotherhood .........................................................................................................14 The Pentagram ............................................................................................................................14 ACTIVITY #4. CONSTRUCTING A PENTAGRAM INSIDE A PENT AGON ..........................................15 The Strange And Mysterious Ways Of Mathematics ..............................................................................18 Other Sides, Same Result ................................................................................................................18 MEMORY CHECK ....................................................................................................................19 CHAPTERS. THE PYTHAGOREAN THEOREM .............................................................................20 Right Triangle? Legs? Hypotenuse? ...................................................................................................20 Ал Explanation about Squares and Square Roots ....................................................................................21 Putting It All Together ................................................................................................................22 An Important Concept To Master ...........................................................................__..................2,3 Doing It With A Variable [A Letter Representing a Number] ......................................................................2.3 Some Solutions To Equations Have 2 Answers .......................................................................................23 ACTIVITY #5. USING ё = é ·!■ b1 TO CONSTRUCT к MATHEMATI CAI, ZFŒ.J^ ........................... M Using с2 = а2 + b2 То Find с For The Remaining Triangles Li The spiral ................................................... v,;, The Completed Spiral ............................................................................................................ /6 Some Fascinating Observations..... ..........,.,.,..,,.,,,,........,,..,.,...,..........,,,,...................................,... /6 Pythagorean Triples ......................................................................,........................................... /Ѓ, ACTIVITY #6. AN INFORMAL PROOF OF THE ŕYTHAUOÄE/.i-J ЇЖЖй. .,,.,.......,..,.......,.„,.. ,,, //// Egyptian Rope-Stretchers And Construction Of The Pyramids. ............,..................................................... JO ACTIVITY #7. MAKING A 3-4-3 Right Triangle ................................................................................30 MEMORY CHECK ....................................................................................................................31 CHAPTER 4. LEARNING ABOUT PERIMETERS, AREAS AND GEOMETRIC NUMBERS The Ubiquitous Rectangle: Finding Their Perimeters ..............................................................................32 ACTIVITY #8. FINDING THE PERIMETERS AND AREAS OF RECT ANGLES .....................................32 ACTIVITY #9. DERIVING THE FORMULA FOR FINDING THE AREAS OF PARALLELOGRAMS .....................................................................................................................33 AH About Polygons ........................................................................................................................35 Words To Know ...........................................................................................................................35 ACTIVITY #10. FINDING THE SUM OF THE MEASURES OF THE ANGLES OF A TRIANGLE .................................................................................................36 ACTIVITY #11. CONSTRUCTING A TRIANGLE FROM3 GIVEN LINE SEGMENTS ............................37 ACTIVITY #12. DERIVING THE FORMULA FOR FINDING THE AREAS OF TMANGLES, .................38 ACTIVITY #13. NUMBERS WITH GEOMETRIC SHAPES.,.,.. .............................................................39 Triangular Numbers .....................................................................................................................39 Square Numbers ..............................................................................,,.,........................................40 Cubic Numbers ............................................................................................................................41 THE SOM A CUBE..... ................................................................................................................. 4V. ACTIVITY #14. TOYING AROUND WITH SOMA CUBES ................................................................42 MEMORY CHECK .....................................................................................................................43 CHAPTER 5. MOVING INTO THE THIRD DIMENSION .................................................................44 What Is The 3rd Dimension? .............................................................................................................44 The Tetrahedron .........................................................................................................................44 A Picture Is Worth A Thousand Words ...............................................................................................45 ACTIVITY #15. CONSTRUCTING A TETRAHEDRON .....................................................................45 The Five Regular Polyhedrons .........................................................................................................45 The Octahedrons Are Coming! ........................................................................................................46 ACTIVITY #16. CONSTRUCTING AJN OCTAHEDRON ...................................................................46 The Many Faces Of Polyhedrons ......................................................................................................,47 ACTIVITY #17. CONSTRUCTING ADODECAHEDRON AND AICOSAHEDRO... ................................47 ACTIVITY #18. CONSTRUCTING A CARDBOARD PYRAMID 48 What Is A Pyramid? .....................................................................................................................49 How To Find The Surface Areas Of Pyramids ....................................................................................,,49 Regular Pyramids ........................................................................................................................49 KHUFU S PYRAMID .................................................................................................................50 A Polyhedron Used To Discover Sunlight Is Made Up Of Rainbow Colors ...................................,......................31 What Are Prisms?...,. .........................................,,..........,.......,.,.,.................................................... ,] Uses Of Triangular Prisms ...............................,,,...,......,........................,..,,,.........,,...,,..,,,................. Л MEMORY CHECK ..............................................................,..........................................,,......... У/ CHAPTER 6. ALL ABOUT CIRCLES, SPHERE ANbCöWEG.......................................................... :, i Straight Lines And Curves. ...................,....,.....,,,..,...............,,..........................................,.,,.,.,..... .T.i What Is A Sphere? .......................................,..,.....,.............................,.......................... .............n ACTIVITY #19. FINDING THE VOLUME OF Á SPHERE PHYSICALLY.. ............................................. У A Bit About Circ les ................................................................................................................... --.SS Parts Of A Circle ................................................................................·.......................................55 Parts Defined .............................................................................................................................55 The Relationship Between Parts Of A Circle .......................................................................................56 FindingThe Areas Of Circles .............................................................■............................................ 56 The Surface Areas Of Spheres ........................................................................................................ 57 ACTIVITY #20. COMPARING THE CURVED SURFACE OF A HEMISPHERE TO ITS FLAT SURFACE ................................................................................................57 INTERESTING CIRCLE AND SPHERE PROBLEMS .....................................................................58 CONES ...................................................................................................................................59 ACTÍVIT Y #21. FINDING THE VOLUME OF A CONE PHYSICALLY AND MATHEMATICALLY ..........................................................................................60 MEMORY CHECK ...............................,...................................................................................61 CHAPTER 7. RELATING ALGEBRA TO THE REAL WORLD ................................,............................62 A Little Algebra Goes A Long Way ...................................................................................................62 Absolute Value ............................................................................................................................6?, Important: Signs Of Confusion .........................................................................................................6?, ACTIVITY #22. ADDING AND SUBTRACTING SIGNED NUMBERS ON Â SLIDE RULE.. .....................63 A BINOMI AL SQUARE ......,......................................................................................................04 Whatls A Binomial? ....................................................................................................................64 Binomiais May Be Added, Subtracted, Multiplied Or Divided ....................................................................64 As A Matter Of interest And Edification ............................................................................................. (A ,.OJ ACTIVITY #23. CONSTRUCTING A BINOMIAL SQUARE : (a + bf ....................................... Going From Arithmetic To Algebra ...................................................................................................66 Adding The Squares And Rectangles .................................................................................................66 Arithmetic Is The BasisOf Much Of Algebra .......................................................................................66 Squaring A Binomial Mathematically ...................................................................................................67 ABINOMIALCUBE ..................................................................................................................68 ACTIVITY #24. CONSTRUCTING A BINOMIAL CUBE ...................................................................68 MEMORY CHECK ....................................................................................................................70 APPENDIX ...............................................................................................................................71 SLIDE RULE CUT-OUT .......................................................................... Inside Back Cover
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author	Sganga, Francis T.
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spelling	Sganga, Francis T. Verfasser aut Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] by Francis T. Sganga Manassas, Va. Gifted Education Press 2004 II, 71 Bl. Ill., graph. Darst. 28 cm txt rdacontent n rdamedia nc rdacarrier Mathematics / Study and teaching (Middle school) / Activity programs Gifted children / Education Erziehung Mathematik Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024378016&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sganga, Francis T. Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] Mathematics / Study and teaching (Middle school) / Activity programs Gifted children / Education Erziehung Mathematik
title	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities]
title_auth	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities]
title_exact_search	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities]
title_full	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] by Francis T. Sganga
title_fullStr	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] by Francis T. Sganga
title_full_unstemmed	Introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities] by Francis T. Sganga
title_short	Introducing gifted students to the wonders of mathematics
title_sort	introducing gifted students to the wonders of mathematics preparation for high school and higher mathematics grades 4 8 includes 24 high interest hands on activities
title_sub	preparation for high school and higher mathematics, grades 4-8 ; [includes 24 high-interest hands-on activities]
topic	Mathematics / Study and teaching (Middle school) / Activity programs Gifted children / Education Erziehung Mathematik
topic_facet	Mathematics / Study and teaching (Middle school) / Activity programs Gifted children / Education Erziehung Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024378016&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT sgangafrancist introducinggiftedstudentstothewondersofmathematicspreparationforhighschoolandhighermathematicsgrades48includes24highinteresthandsonactivities

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