Extended Resources (PBL in math)
For more information about the content, ideas, and applicable examples you have read about within this mini course, you may want to look at some of the resources below. I have broken them up into separate units, for navigation purposes, and I hope they help further your understanding of this subject matter. Have fun exploring these new resources and I wish you good luck in your teaching career.
Extended Resources for Unit 1:
To learn more about problem-based inquiry as it relates to the mathematics classroom, you may want to check out the following resources:
- The following resource is a book that is very informative on problem-based learning; it gives the reader the theory and application of such inquiry.
- Ronis, D, L. (2008). Problem-based learning for math & science integrating inquiry and the internet. Thousand Oaks, CA: Corwin Press.
- This article explains the need for manipulatives and problem-based learning in the elementary math classroom.
- Kelly, C, A. (2006). Using manipulatives in mathematical problem solving: a performance- based analysis. The Montana Mathematics Enthusiast,3(2), Retrieved from http://www.math.umt.edu/tmme/vol3no2/tmmevol3no2_colorado_pp184_193.pdf
- This next resources is great for exploring problem-based learning as a whole. It provides the reader with many links to other webpages and articles written by various professors at Universities around the world. (Note: This is a medicine and dentistry webpage but the links provided within, give great descriptions and examples of PBL.)
- Center for teaching excellence. (2006). Retrieved from http://cte.umdnj.edu/active_learning/active_pbl.cfm
Extended Resources for Unit 2:
There are many different resources that can be used to extend ones understanding of problem-based inquiry and more specifically on the creation of problematic tasks.
- The following source has great examples of problematic tasks that can be implemented in a math classroom, so if you are looking for more ideas this is the site for you. This site allows teachers to choose specific topics from a list before displaying the correlating problem or task.
- Benson, S. (2003). Problems with a point. Retrieved from http://www2.edc.org/mathproblems/
For students and teachers that have access to computers in their classrooms, there are many interactive online resources that can be utilized.
- The tower of Hanoi is a great puzzle/problem that can be solved using mathematics and can extend to an algebra lesson as it deals with the use of variables. This is a great mini project that can be worked on in groups or individually.
- Maze works: tower of hanoi. (n.d.). Retrieved from http://www.mazeworks.com/hanoi/
- The following website has great virtual manipulatives that can be used as problematic tasks for secondary math classrooms.
- National library of virtual manipulatives. (1999). Retrieved from http://nlvm.usu.edu/en/nav/vlibrary.html
Extended Resources for Unit 3:
To learn more about proper assessment and feedback, please visit the resources below.
- To gain a better understanding of the need for effective assessment in a problem-based learning environment please read the following two articles:
- Thomas, M. (2003). Assessment and learner performance in problem based learning (pbl) . Journal of Language and Learning, 1(1), Retrieved from http://www.jllonline.co.uk/journal/jllearn/1_1/thomas_learn1_1.html
- Walters, R., & McCraken, M. (n.d.). Assessment and evaluation in problem-based learning. (Type this title into your search engine and the pdf file will appear once you click on the link, for some reason once you click on the link it automatically downloads without giving a URL.)
Extended Resources (PBL in math)