K-12 Teaching and Learning From the UNC School of Education

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Resources tagged with mathematics and critical thinking are also tagged with these keywords. Select one to narrow your search or to find interdisciplinary resources.

Map skills and higher-order thinking
This series of articles looks at map skills as a kind of visual literacy, considering what maps are, how they're made, and the higher-order thinking skills students need to move from simply decoding maps to fully comprehending them.
Format: series (multiple pages)
Number sense every day
Number sense – an intuitive feel for numbers and their relationships – develops when children solve problems for themselves.
Format: article
By Lisa Wilson Carboni.
The Paideia Seminar: Active thinking through dialogue
This teacher training manual, provided by The National Paideia Center, provides a valuable set of resources for educators who want to begin using the Paideia approach.
Format: book (multiple pages)
Problem centered math
Why students must build their own understanding of mathematics if they are to be able to use it in the real world, and how teachers can guide them in doing so.
Format: series (multiple pages)
The problem-centered classroom
In Problem centered math, page 2.1
A look inside an eighth-grade classroom in which students work in pairs to solve problems, then debate as a class which solution is correct or easiest. An explanation of the teaching method is provided along with video of students presenting their solutions to problems.
Format: article
By Grayson Wheatley.
Science students get their hands dirty
Enter Carol Swink's classroom where students become scientists by conducting hands-on, inquiry-based investigations. By saving the textbook reading and lectures for last and doing experiments first, students master not only science content but math content too.
Format: article/best practice
By Waverly Harrell.
Student presentations in the problem-centered classroom
In Problem centered math, page 2.2
The video clip below shows students presenting their solutions to a math problem. The students worked on the problem in pairs, and several pairs of students used different methods to reach different results. A discussion results among the students as to the...
By Grayson Wheatley.
Why problem-centered learning?
The world our students will live and work in will require them to gather, organize, and interpret data in the process of finding solutions to complex problems. Problem-centered learning creates a model where the student becomes the thinker.
Format: article
By Mike Kestner.