Schottenbauer Publishing

Showing posts with label homeschool. Show all posts
Showing posts with label homeschool. Show all posts

Saturday, April 30, 2016

Comparing Harmonic Oscillation and Rotation

Graphs of harmonic oscillation and rotation appear very similar when charted on graphs. Harmonic oscillation consists of a mass which moves back and forth in repetitive motion on one axis. Rotation consists of a mass in circular motion around a central point. On a graph, the mass appears to be moving back and forth in repetitive motion on each of two axes.

Consider the following graphs, excerpted from books by Schottenbauer Publishing.





Discussion Questions
  1. Which graphs show harmonic oscillation? 
  2. Which graphs show circular motion?
  3. Describe the relationship between x and y components in circular motion.
  4. Using these graphs, describe at least one similarity between harmonic oscillation and rotation.
  5. Using these graphs, describe at least one difference between harmonic oscillation and rotation.

Over 8,000 graphs from Schottenbauer Publishing provide real-life topics for student learning, including sports, transportation, construction, environment, music, entertainment/toys, and general physics. 

Sunday, April 26, 2015

Upgrading Physical Education with Graphs

Physical education classes can easily be upgraded to "high-tech" status by incorporating graphs into lesson plans. As early as fourth grade, students are taught graph-reading skills in math and language classes. These technical skills can easily be applied to physical education topics. 

Graphs relevant to physical education include:

  • Trajectories of Human Motion & Sports Equipment
    • Position
    • Velocity
    • Acceleration
  • Direct Measurement of Physical Variables
    • Force
    • Acceleration
    • Altitude
  • Biophysics Data
    • Joint Angles
    • Breathing
    • Heart Rate
    • Electrical Activity of Heart & Muscles

How can these data be used in class? One example is found in the blog article Comparing Graphs of 24 Sports Balls Bouncing, Rolling, & Flying. This article describes how to use a set of three free YouTube videos from Schottenbauer Publishing along with a book of graphs, Bounce, Roll, & Fly: The Science of Balls: Sampler Edition, to compare the performance of 24 popular sports balls.




Discussion Questions
  1. How many times does the baseball bounce?
  2. From what height is the baseball dropped?
  3. Write one or more equations describing the motion of the ball.
  4. What is the potential energy of the baseball in the beginning? At the peak of each bounce? In the end of the graph?
  5. What is the maximum velocity of the ball? The maximum momentum?

Additional sample graphs and discussion questions pertaining to physical education are available on the following free blogs:


Over 5,000 sports graphs are available in science lab manuals from Schottenbauer Publishing. Additional information is available on the blog Sport Science Education. Books can be purchased online from AmazonBarnes & NobleBooks-a-Million, and other internet retailers, and wholesale through CreateSpace.

Friday, April 10, 2015

The Use of Graphs in Open-Ended Projects

Traditional classes offer students focused instruction in the use of graphs, including identifying a specific topic area, providing questions which guide graph-reading and analysis, and teaching techniques for identifying equations. Graphs can also be used for open-ended projects, which provide students with more opportunity for choosing their own topics, collecting their own graphs, and synthesizing their own answers in writing. These open-ended projects can be designed for almost any traditional elementary, high school, or college/university class, including math, science, language arts, physical education, music, and art.

Graph book series from Schottenbauer Publishing provide ample opportunities for open-ended projects using graphs. These include multi-volume book series on specific topic areas, as well as anthologies of 28 graphs excerpted from these offerings.


The following are three examples of open-ended projects using graphs: 

Example 1

Students in class might be asked to select 2 or 3 volumes of graphs on a topic of their choice, and write a 10-page paper based on a subset of graphs in the books. Students may have a few weeks in which to complete the project, which should include citations from encyclopedias and traditional reference books to support their hypotheses and conclusions. 

Example 2

During an entrance exam to a private school, students might be asked to use two hours to peruse an anthology of 28 graphs, and write a short essay describing a set of conclusions based on some or all of the graphs in the book. 

Example 3

A homeschooler might use an anthology of graphs as the basis for a project in which the student identifies equations for the different graphs, and then writes a paper comparing and contrasting mathematical functions across different situations encountered in the natural world.


Schottenbauer Publishing features over 8,000 graphs, collected into multi-volume series and anthologies in the following categories:



Book Series with Original Graphs

Anthologies of 28 Graphs
  • The World in a Graph
  • Sports [Multiple Volumes Available]
  • Transportation
  • Construction
  • Music
  • Play

Several sample graphs from Schottenbauer Publishing are shown below:






The graphs above demonstrate but a few of the types of data available in science lab manuals from Schottenbauer Publishing.  Examples include:
  • Physics
    • Video Analysis
    • Force
    • Acceleration
    • Rotational Motion
    • Power
    • Current
    • Voltage
    • Light Intensity
    • Magnetic Field Strength
    • Temperature
    • Sound
    • Sound Level
    • Air Pressure
    • Gas Pressure
    • Wind Speed
    • Water Flow Rate
  • Biophysics
    • Joint Angles
    • Electromyogram
    • Electrocardiogram
    • Blood Pressure
    • Pulse
    • Lung Capacity
    • Breathing Rate

A full listing of graph topics from Schottenbauer Publishing, indexed by book series and data type, are available in a Teacher Resource Guide from the publisher. Additional information is also available on the blogs Science and Math Education and Sport Science Education. A list of free blogs with sample graphs, discussion questions, and videos is available in the article Application of Graphs in Education on the blog Graphs in Education.