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written by Kyle Forinash and Wolfgang Christian
translator: Gabriel Spahn
Available Languages: English, Spanish
Waves: An Interactive Tutorial es un conjunto de 33 ejercicios diseñados para enseñar fundamentos de la dinámica de ondas. Comienza con propiedades ondulatorias muy simples y finaliza con un examen del comportamiento no lineal de las ondas. El énfasis aquí está en las propiedades de las ondas que son difíciles de ilustrar con una figura estática de libros de texto. Las simulaciones no sustituyen el trabajo de laboratorio. Sin embargo que permiten la visualización de procesos que normalmente no pueden ver (por ejemplo, los campos eléctricos y magnéticos). Permiten visualización de procesos que son demasiado rápidos (por ejemplo, ondas) para seguir en tiempo real o demasiado pequeños para visualizar (por ejemplo, la termodinámica en la escala molecular). Permiten la manipulación de procesos que podrían ser peligrosos (colisiones) o difíciles de experimentar (ondas). Asimismo permiten que la repetición sea fácil. Por todas estas razones, las simulaciones son una excelente manera introducir a los estudiantes a la complejidad de fenómenos ondulatorios.

This Waves Tutorial is also available in English as an OSP item, as an online AAPT/ComPADRE book and in Apple iTunes.  

The JavaScript simulations in this tutorial were developed using the Easy Java/JavaScript Simulations (EjsS) version 5 authoring tool.  Although EjsS is a Java program, it can create stand alone JavaScript programs that run in almost any PC or tablet.
33 supplemental documents are available
Subjects Levels Resource Types
Education Practices
- Active Learning
= Modeling
- Geometrical Optics
- Polarization
Oscillations & Waves
- General
- Wave Motion
= Doppler Effect
= Impedance and Dispersion
= Interference and Diffraction
= Longitudinal Pulses and Waves
= Phase and Group Velocity
= Reflection and Refraction (Sound)
= Standing Waves
= Transverse Pulses and Waves
- Lower Undergraduate
- High School
- Upper Undergraduate
- Collection
- Instructional Material
= Interactive Simulation
= Tutorial
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/javascript
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Access Rights:
Free access
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Kyle Forinash
fundamentals of waves, group velocity, wave behavior, wave dispersion, wave interference
Record Cloner:
Metadata instance created July 29, 2016 by Wolfgang Christian
Record Updated:
June 5, 2018 by kyle forinash
Last Update
when Cataloged:
July 29, 2016

AAAS Benchmark Alignments (2008 Version)

4. The Physical Setting

4F. Motion
  • 6-8: 4F/M4. Vibrations in materials set up wavelike disturbances that spread away from the source. Sound and earthquake waves are examples. These and other waves move at different speeds in different materials.
  • 6-8: 4F/M6. Light acts like a wave in many ways. And waves can explain how light behaves.
  • 6-8: 4F/M7. Wave behavior can be described in terms of how fast the disturbance spreads, and in terms of the distance between successive peaks of the disturbance (the wavelength).
  • 9-12: 4F/H5ab. The observed wavelength of a wave depends upon the relative motion of the source and the observer. If either is moving toward the other, the observed wavelength is shorter; if either is moving away, the wavelength is longer.
  • 9-12: 4F/H6ab. Waves can superpose on one another, bend around corners, reflect off surfaces, be absorbed by materials they enter, and change direction when entering a new material. All these effects vary with wavelength.
  • 9-12: 4F/H6c. The energy of waves (like any form of energy) can be changed into other forms of energy.

11. Common Themes

11B. Models
  • 6-8: 11B/M4. Simulations are often useful in modeling events and processes.

Common Core State Standards for Mathematics Alignments

High School — Algebra (9-12)

Creating Equations? (9-12)
  • A-CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
  • A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

High School — Functions (9-12)

Interpreting Functions (9-12)
  • F-IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?
  • F-IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.?
  • F-IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Trigonometric Functions (9-12)
  • F-TF.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.?

Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12

Craft and Structure (6-12)
  • RST.11-12.4 Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 11—12 texts and topics.
Range of Reading and Level of Text Complexity (6-12)
  • RST.11-12.10 By the end of grade 12, read and comprehend science/technical texts in the grades 11—CCR text complexity band independently and proficiently.
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
K. Forinash and W. Christian, (2017), WWW Document, (https://www.compadre.org/books/Ondas).
K. Forinash and W. Christian, Ondas: Tutorial Interactivo (2017), <https://www.compadre.org/books/Ondas>.
APA Format
Forinash, K., & Christian, W. (2016, July 29). Ondas: Tutorial Interactivo. Retrieved July 17, 2024, from https://www.compadre.org/books/Ondas
Chicago Format
Forinash, Kyle, and Wolfgang Christian. Ondas: Tutorial Interactivo. Translated by Gabriel Spahn. July 29, 2016. https://www.compadre.org/books/Ondas (accessed 17 July 2024).
MLA Format
Forinash, Kyle, and Wolfgang Christian. Ondas: Tutorial Interactivo. Trans. Spahn, Gabriel. 2017. 29 July 2016. 17 July 2024 <https://www.compadre.org/books/Ondas>.
BibTeX Export Format
@misc{ Author = "Kyle Forinash and Wolfgang Christian", Title = {Ondas: Tutorial Interactivo}, Volume = {2024}, Number = {17 July 2024}, Month = {July 29, 2016}, Year = {2017} }
Refer Export Format

%A Kyle Forinash %A Wolfgang Christian %T Ondas: Tutorial Interactivo %D July 29, 2016 %U https://www.compadre.org/books/Ondas %O Gabriel Spahn %O text/html

EndNote Export Format

%0 Electronic Source %A Forinash, Kyle %A Christian, Wolfgang %D July 29, 2016 %T Ondas: Tutorial Interactivo %V 2024 %N 17 July 2024 %8 July 29, 2016 %9 text/html %? Spahn, Gabriel %U https://www.compadre.org/books/Ondas

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