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Math and music ENC#: ENC-020705 Series: Bigger world. Publisher: Wildridge Software, Inc Date: 2000 Ordering Information

Abstract:
This CD-ROM, for grades 6 through 12, is designed to teach the mathematics and physics behind music with historical, cultural, and mathematical information. The instruction begins with such mathematics as counting and the Pythagorean Theorem and continues to the higher mathematics of sine waves, a topic that more closely relates to music. Background information on music throughout history and in different cultures is presented in order to show the development of certain aspects of Western Music, such as tonality, beat patterns and orchestration. The program contains music theory lessons that range from notation to understanding how the frequencies of intervals are related. A real-time test assesses content knowledge of each section of the program. Included are teacher and student guides, and a math workbook and textbook, which contain selected sections of the content in the CD-ROM. (Author/SB)

Reviews and Awards:

• Eisenhower National Clearinghouse. (2002). Mathematics and Science Across the Curriculum. ENC Focus, 9(2).
  Additional information available at: http://enc.org/redirect/1,1366,,00.shtm?Url=http%3A%2F%2Fenc%2Eorg%2Ffocus%2Facross%2F
• Parents Choice Foundation, Silver Award, 2001.
  Additional information available at: http://enc.org/redirect/1,1366,,00.shtm?Url=http%3A%2F%2Fwww%2Eparents%2Dchoice%2Eorg%2F
• Codie Award Finalist, 2001. ( http://enc.org/redirect/1,1366,,00.shtm?Url=http%3A%2F%2Fwww%2Esiia%2Enet%2Fevents%2Fawards%2F2001codies%2Fwinner%2Ehtml )
  Additional information available at: http://enc.org/redirect/1,1366,,00.shtm?Url=http%3A%2F%2Fwww%2Esiia%2Enet%2Fevents%2Fawards%2F2001codies%2Fdefault%2Ehtml

Contents:
[Teacher guide:]
Overview of Math and music
Print materials
Administrative tracking program
Multimedia exercises and tools
Learning objectives
Suggestions for facilitating the study of Math and music
Getting started
Questions in the textbook
Study questions and answers

[Student guide:]
Overview of Math and music
Print materials
Multimedia exercises and tools
Suggestions for how to study Math and music
Assignment checklist
Vocabulary list
Study questions
Projects
 Roman numeral abacus
 Numbers trick
Conversion tables
Trigonometry table
Math and music Internet sites

[Text:]
Mathematics or arithmetic
 Numbers
 Tally systems
 Arithmetic with tallies
 Counting words
 Counting with complete sets
Early number systems
 The Egyptian number system
 The Babylonian number system
 Greek number systems
 Roman number system
 The Hindu-Arabic number system
 The zero
 The abacus and bases
The operations of arithmetic
 Units of measure
 The number line
 Operations of addition and subtraction
 Operations of multiplication and division
 Summary of operations
 Multiplication
 Duplation
 Area
 Fractions and division
 Divisibility
 Units and multiplication
Number patterns
 The sieve of Eratosthenes
 Prime numbers
Introduction to algebra
 Rules of algebra
 Graphing relationships
 Ratios
Exploring trigonometry
 Angles
 Introduction to trigonometry
 Triangles
Mathematical reasoning
 The Pythagorean theorem
 Thales
 Pythagoras
The science of sound
 Investigating sound
 Waves on a vibrating string
 Sound waves
 Anatomy of the ear
 How we hear
 Pitch and timbre
 Vibrating strings
Appreciating different musical styles
 Music terminology
 Musical scales
 Harmony
 Harmony and history
 Listening to classical music
Conclusion
Appendix: composers
 Johann Sebastian Bach
 George Frederic Handel
 Wolfgang Amadeus Mozart
 Ludwig van Beethoven
Bibliography
Index

[CD-ROM:]
Program topics
Glossary
Web browser
Print menu
 Print textbook
 Print student guide
Basic number training
 Operations
 SpeedMatch
Science of music
 Physics of sound
 Physics of music
 How we hear
Mathematics of music
 Ratios
 Scales
 Harmony
Journeys in music
 Music around the world
 Music through time
Spaces and shapes
 Areas
 Angles and triangles
 Pythagorean theorem
Exploring numbers
 Ancient numbers
 Abacus
 Duplation
 Primes
 Tallies
Progress report
Final challenge
Help
Exit

Equipment:
Windows--IBM or compatible computer; Pentium P2 processor; Microsoft Windows 95, 98; 16 MB RAM; 5 MB free hard drive space to run from CD, or 650 MB free hard drive space to run from hard drive; 16 bit, high color display with 800 x 600 resolution; 4X CD-ROM drive; Sound Blaster compatible sound card; MacroMedia Flash 4.0 plugin (included on CD-ROM); keyboard and mouse; laser or ink jet printer for text and graphics; Adobe Acrobat Reader (included on CD-ROM) ; optional (for Internet access): 28.8 KB per second modem; web browser.

Specifications:
1 CD-ROM (Windows : color, sound ; 4.75 in.)
1 user's guide (8 pages : illustrations ; 12 cm.)
1 teacher guide (44 pages, spiral-bound : illustrations ; 29 cm.)
1 math workbook (52 pages, spiral-bound ; 29 cm.)
1 student guide (45 pages, spiral-bound : illustrations ; 29 cm.)
1 text (157 pages, spiral-bound : illustrations, some color ; 29 cm.)

Lesson plans and activities; Resource materials; CD-ROM.

Subjects:
Arithmetic. Integrated/interdisciplinary approaches. Mathematics. Music. Science

Contributor(s):
Lawrence B Bangs;