Higher Order Thinking

This level combines the three most complex levels of cognitive process in Bloom's Taxonomy: analysis, synthesis, and evaluation.
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Key Verbs
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Open-ended math problems are a great way to get students to stretch their thinking and demonstrate skills. If students can demonstrate skills on open-ended items, they will be able to succeed on a variety of math assessments. It is possible to turn SOL Released Test items into open-ended questions and add more details to the questions after students have thoroughly explored the mathematical possibilities.

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This site offers access to a searchable collection of open-ended math questions for a fee, but contains some great information about open-ended math questions for free. It is worth exploring as you determine the best way to incorporate this strategy into mathematics instruction.


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Thinking Blocks is rich in both educational content and research supported instructional methods. Students not only learn to model and solve word problems; they also learn to understand and write algebraic equations. While guided practice sets encourage students to create models with concrete objects; the independent practice sets help students transition to more abstract representations using paper and pencil. Feedback in the guided practice sets offers more than yes or no responses. Incorrect answers elicit helpful questions, hints, and suggestions that lead students toward the correct solution.



How to Teach Math as a Social Activity
A master teacher in Anchorage, Alaska, establishes a cooperative-learning environment in an upper-elementary classroom.

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ThinkQuest is a protected, online learning platform that enables teachers to integrate learning projects into their classroom curriculum and students to develop 21st century skills.

It includes

The Oracle Education Foundation (OEF) provides ThinkQuest as a free service to K-12 schools globally. No advertising or spam is allowed.

This is a student project that demonstrates higher order thinking and solid mastery of a math concept.
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Discover the various species of polynomial function snakes in the coordinate planes of the urban jungle.

In Search of the Graph Snake


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Everyone watches movies. Teachers can make their own! Have students create a quiz or design a review movie. If students can type, they can make a movie.