Schottenbauer Publishing

Showing posts with label graphs. Show all posts
Showing posts with label graphs. Show all posts

Friday, March 11, 2016

Science of Music Memorabilia

Celebrate science of music with memorabilia from Zazzle! Colorful graphs from Schottenbauer Publishing are featured on these mugs, magnets, keychains, & postcards. Graphs include conducting, voice, piano, violin, recorder, flute, clarinet, saxophone, trumpet, trombone, drums, cymbal, and Tibetan bowl. A direct link is included below:
A variety of other STEM education collections are also available from Schottenbauer Publishing on Zazzle, which features regular sales on most items.  


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Wednesday, July 29, 2015

What is Sound? The Problem of Averaging a Messy Graph

Graphs provide a unique perspective into the nature of music and sound. Graph-reading skills can be integrated into music classes, supplementing traditional science and math curricula. 

For example, consider the following two graphs, excerpted from Where Does Sound Come From? Volume 1 from Schottenbauer Publishing. These graphs shed light on a perplexing problem pertaining to averages.



Discussion Questions
  1. Does the graph suggest (a) the presence of wind, (b) random differences in gas pressure in the room, or (c) error of the measurement device?
  2. Is it accurate to state that the gas pressure is: (a) 99.8, (b) 99.825, (c) 99.85, (d) constantly changing?



Discussion Questions
  1. What are the initial maximum and minimum sound pressures in the graph?
  2. By the end of the graph, what are the maximum and minimum sound pressures?
  3. Using a solid line, trace the maximum values of the sound pressures.
  4. Using a solid line, trace the minimum values of the sound pressures.
  5. Is it appropriate to average the minimum and maximum values on this graph, in order to show the true sound pressure reading? Why or why not?

Additional graphs of sound pressure, gas pressure, wind speed, and physical vibrations (force) are available in the lab manual Where Does Sound Come From? Volume 1 from Schottenbauer Publishing. Students can use these measurements to understand the nature of sound, by comparing and contrasting graphs from 27 musical instruments, including strings, woodwinds, brass, and percussion, plus voice.


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Saturday, May 9, 2015

The Science of Tone Quality

Tone quality is essential to all musical performance, but is not usually taught systematically in traditional music education. Rather than building an awareness of tone across instruments, individuals taking lesson in strings, woodwinds, brass may be offered individual suggestions for improving tone on their own instrument. Usually, their instrument is a student or intermediate model. If fortunate to take private lessons, students may also be provided exemplary tone quality examples from a specialist teacher performing on a professional instrument. In ensemble, students may be urged to "match tone quality" across their section, even when performing on different makes and models of instruments, which offer various tone quality. Options for learning about tone quality are even more limited on the piano, which is a common tool for music education.

How can educators and students learn about tone quality across the spectrum of band and orchestral instruments? A set of educational materials from Schottenbauer Publishing offer opportunities for learning multiple aspects of tone quality, including:

  • Identifying tone quality in band and orchestral instruments
  • Understanding the math and science of tone quality
  • Linking instrumental skills to auditory and math/science skills


To meet the first goal, the student can obtain recordings of multiple instruments, including common examples of good and poor tone quality. By listening carefully to comparison and contrast examples, and reading descriptions of each sample in words, students can develop and hone skills for identifying good tone. The multimedia set Ear Training: Tone Quality (Level 1) from MusicaNeo contains over 250 computer audio files with performance samples from common musical instruments, including strings, woodwinds, brass, and percussion. The series is accompanied by a brief lead sheet with exercises for improving tone quality, as well as an audio file with a computer realization of the exercises.  

To meet the second goal, the student can obtain graphs of tone quality samples from multiple instruments, including common examples of good and poor tone quality. By comparing these tone samples visually, and by reading descriptions of each sample in words, students can develop a mathematical/graphical understanding of good tone. The book series Where Does Sound Come From? and the anthology The Science of Music provide graphs with performance samples from common musical instruments, including strings, woodwinds, brass, and percussion. The graph below provides one example of the contents of these book series.



To meet the third goal, students can record their own musical performance on a microphone at the computer, and analyze the sound wave using a free program such as Audacity. Students can follow procedures from the free blog article Easy Science of Music Experiment to analyze their tone quality.

These educational tools can be integrated into music education curricula from late elementary school through high school and college/university, in classrooms, after-school enrichment programs, individual lessons, independent study, and/or homeschool. Additional information is available on the Schottenbauer Publishing website, and from the links below. A free pamphlet from the publisher is also available on the website.


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Monday, April 13, 2015

How to Use Graphs in Music Education

Graphs can be integrated into music education from approximately fourth grade through high school, as well as college and university classes. 



The following list describes possible learning activities centered on graphs:

Possible Lesson Plans

  • Graph Reading 
    • Identifying Minimum & Maximum 
    • Determining Graph Shape 
    • Redrawing the Graph on a Different Scale 
  • Mathematical Modeling 
    • Writing the Graph's Equation 
    • Transforming the Graph's Equation 
  • Theoretical Analysis 
    • Describing the Scientific & Mathematical Concepts Related to Graph(s) 
    • Describing the Scientific & Mathematical Theories Related to Graph(s) 
    • Identifying the Theoretically Ideal Graph & Comparing to Individual Graph(s) 
    • Understanding Measurement Error & Other Types of Error 
    • Comparing & Contrasting Specific Graphs 
  • Science Writing 
    • Describing a Graph in Words 
    • Writing a Comparison & Contrast of Graphs 
    • Describing Scientific Concepts & Theories Relevant to Graphs 
    • Developing Theories Based on Graphs 
    • Re-writing Graph Titles in Scientific Format 
    • Practicing Different Styles of Writing about Graphs (e.g., Journalistic, Scientific, Practical/Colloquial) 
  • Exploratory Research 
    • Data-Mining 
    • Developing Theories Based on Graphs 
    • Exploring Open-Ended Questions (e.g., Look at this book of graphs and write about a topic of interest.) 
  • Estimation Skills 
    • Understanding Range & Order of Magnitude 
    • Developing Theoretical Comparisons from Commonly Available Data (e.g., Here is a graph of air flow while playing a note on a trombone mouthpiece. How much air would be required to play on a trumpet mouthpiece? On a tuba? Euphonium? Flugelhorn?) 

A full listing of books with graphs from Schottenbauer Publishing, indexed by book series and data type, are available in a Teacher Resource Guide from the publisher. Additional information about using graphs in class is available on the blog Graphs in Education.



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