Geometry is essential for track and field. Take a moment to write down a few ways in which geometry affects the precision of the sport.
Discussion Questions
- What data is necessary to collect in order to understand the role of geometry in track and field events, including running, hurdles, long jump, triple hump, high jump, pole vault, shot put, javelin, discus, and hammer?
- What spatial perspectives and/or mathematical planes are important for precision?
One figure in The Geometry of Summer Olympic Sports, centered below, features a sprinter on the track.
Discussion Questions
- What angles can be measured on the diagram, in order to understand the accuracy of technique?
- Is any essential information missing from the picture? What is necessary in order to measure that information?
Geometry diagrams featuring track and field events are available in the following book from Schottenbauer Publishing:
Geometry Workbooks
Additional Information
Force, acceleration, and trajectory are essential in track and field. When understanding these concepts from physics, athletes can appreciate elements of technique learned from coaches.
The following graph is excerpted from The Science of Track & Field: Volume 1 (Copyright 2014, All Rights Reserved).
Discussion Questions:
- What information is contained in this graph?
- Name several events from track and field which involve similar patterns of motion as described by this graph.
- What is the maximum height of the device?
- What occurs during the portion of the graph where no acceleration is recorded at all?
- Describe the trajectory of the device.
- What occurs at approximately 3 seconds?
- What forces act on the wireless device?
- What is the maximum force?
- What causes the maximum force to occur?
- How could the maximum force be reduced? Increased?
Additional Information
Individuals seeking to understand the science of track and field have at their disposal a more traditional source of knowledge pertaining to the motion of balls.
Reflection Question: How does the motion of a ball compare to the motion during the following track and field elements?
- Running
- Jumping
- Throwing
The graphs below are excerpted from The Science of Balls: Volumes 1, 2, & 3 (Copyright 2014, All Rights Reserved).
Discussion Questions
- What is the relevance of each graph to track and field? Name at least one event which is similar to each graph.
- In Graph 1, how far does the ball travel?
- What is the highest speed obtained by the ball in Graph 1?
- Why does the acceleration change in Graph 1?
- Sketch the motion of the ball in Graph 2. What is the trajectory?
- Describe the shape of the velocity in Graph 2, and compare it to Graph 1. Why are they different?
- Describe the shape of the acceleration in Graph 2, and compare it to Graph 1. Why are they different?
- What is the shape of the curve in Graph 3? Describe the trajectory of the ball.
- What forces act on the ball in Graph 3? Are these different than in Graphs 1 or 2? If so, how?
- How does the material construction affect the graphs? What would happen if the ball were made out of hard plastic? (The dodge ball is made out of foam.)
Additional Information
The science and math of track and field are topics of new books from Schottenbauer Publishing. Presenting data from real and simulated conditions collected by the science writer and publisher M. Schottenbauer, Ph.D., these books bring the "high tech" end of track and field to audiences everywhere!
In these books, students can enjoy learning about common aspects of track and field. One series of books, written for elementary school students, focuses on geometry. Another series of science books features graphs and data; these illustrate common mathematical functions, plus a variety of concepts from physics. The science books can be integrated into classes such as math, physical science, physics, physical education, and health, anywhere from 7th grade through high school, as well as some introductory college and university classes.
The books directly pertaining to track and field include the following:
Geometry Workbooks
- The Geometry of Summer Olympic Sports
Graphs & Data for Science Lab: Multi-Volume Series
- The Science of Track & Field
- Volume 1: Force & Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- The Science of Athletic Training
- Volume 1: Force & Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
Anthologies of 28 Graphs
- The Science of Track & Field
- The Science of Physical Fitness
- The Science of Summer Olympic Sports
These books are complemented by a series of science books on other popular sports topics, including Olympic sports, athletic training, exercise equipment, gymnastics, yoga, ballet, and more. Additional books which may be relevant for comparison and contrast to track and field activities include:
Geometry Workbooks
- The Geometry of Gymnastics
- The Geometry of Yoga
Graphs & Data for Science Lab: Multi-Volume Series
- The Science of Exercise Equipment
- Volume 1: Force & Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- The Science of Gymnastics
- Volume 1: Force & Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
- The Science of Yoga, Pilates, & Ballet
- Volume 1: Force & Acceleration
- Volume 2: Biophysics
- Volume 3: Video Analysis
Anthologies of 28 Graphs
- The Science of Gymnastics
- The Science of Yoga
Most of the books above are available in both English and German translation. The books pertaining to the geometry of Olympic sports are also available in 15 world languages.
The same publisher offers similar books on additional popular topics, including sports, transportation, construction, environment, music, entertainment, and general physics. All of these book series are available in several formats and languages, including the following:
Geometry Workbooks
- Print & E-Book Editions
- Available in English & German
- Olympics Books Available in 15 Languages
Graphs & Data for Science Lab: Multi-Volume Series
- Print Editions
- Available in English & German
Anthologies of 28 Graphs
- Print Editions
- English Only
Additional Information
Unbeatable Specials
With Kindle Unlimited ($9.99/month) at Amazon.com, you can read all e-books from Schottenbauer Publishing for no extra charge! Amazon offers Free 30 Day Trials of Kindle Unlimited. With this deal, trial members can read all Schottenbauer Publishing e-books free! This includes all the geometry workbooks, plus "The World in a Graph," "Alphabets of the World," textbooks on the science of music, all the e-book puzzles, and the educational novels by M. Schottenbauer, Ph.D.
