For additional resources on teaching polynomials and best strategies, see the resources below.
Anderson, Ann Gladys (1982) Error patterns in the simplification of polynomial expressions. Masters thesis, Memorial University of Newfoundland.
In this article, the researchers seek to understand the common errors students make when simplifying polynomials. Simplifying polynomials is one step in the process of being able to write polynomials in standard form, thus allowing them to then classify the type of polynomial. The study found that students often make errors in either algebra or arithmetic, but not both; this allowed researchers to determine solutions for teachers when completing this skill in the future.
Bobis, V., Bongala, J., Llona, P. S., Nool, E., Waywaya, S., & Elipane, L. (2023). Engaging Students through Pic-To-Word Puzzles: A Lesson Study on Polynomial Classification by Number of Terms. Journal of Computer Science & Computational Mathematics, 13(4).
In this article, the researchers aim to seek a connection between student understanding of the types of polynomials and building a foundational understanding through picture puzzles. The researchers found that students were more engaged with the lesson and with determining the classes of polynomials which contributed to their overall understanding.
Curran, B. J. (1995). Fostering Connections between Classes of Polynomial Functions. Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
In this article, the researchers interviewed a group of Algebra II students to break down student understanding of polynomials and to determine the importance of teaching classifying polynomials. The researches found that when students are taught the foundational elements of polynomials, it sets them up for better success when making connections between the written functions and graphed representations.
Iiris Attorps, Kjell Björk & Mirko Radic (2016) Generating the patterns of variation with GeoGebra: the case of polynomial approximations, International Journal of Mathematical Education in Science and Technology, 47:1, 45-57, DOI: 10.1080/0020739X.2015.1046961
In this article, the researches question the use of GeoGebra when teaching polynomial approximations in comparison to students who do not use the assisstive technology. The results found that students who used the tool were able to better understand the visualization of polynomials and how they differ from one another.
Marone, A., Gotfrid, T., Kurtzhall, K., & Elglaly, Y. (2021). Active Math Learning for Students with Writing Disabilities.
In this article, the researchers aim to determine the current use of assistive technologies for students with writing disabilities in comparison to the result of properly implementing the resource. The researchers determine that utilizing the assistive technology allowed for students to have an accessible method for inputting math problems and it allowed for several approaches in solving the problem.
The following websites are additional resources on content and practice for classifying polynomials.
Open Educational Resources (OER) Commons - A Lesson on Classifying Polynomials
Cue Math - A Lesson on the Types of Polynomials
CK-12 Foundation - A Lesson on Writing and Classifying Polynomials in Standard Form
IXL - Practice Problems on Polynomial Vocabulary
Khan Academy - Practice Problems on Classifying Polynomials Based on Terms