Here are some apps and web tools that address the objectives of Bloom's Taxonomy, Gardner's Multiple Intelligences and 21st Century Skills and Literacies to make them more relevant for today's classrooms.

Click on the image below to go to my Pinterest board, which is a collection of website links related to Gardner's Multiple Intelligences and Bloom's Taxonomy.
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The following graphics come from this link on Silvia Rosenthal Tolisano's blog where she has grouped iPad apps to put the focus on pedagogy and the iPad as a LEARNING and THINKING tool.
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Kathy Schrock's Bloomin' Apps page includes suggestions for iPad, Google, Android, and Web 2.0 applications to support each of the levels of Bloom's Revised Taxonomy. The graphics contain clickable hotspots.
This graphic from the Digigogy blog has been formatted in the same way as
the revised Bloom’s taxonomy. Portraying lower level thinking to higher level thinking in the form of a pyramid, makes association with each level of thinking easy.
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The following Bloomin’ Peacock graphic has been developed by Kelly Tenkely to show teachers the Bloom's Taxonomy break down. The Bloomin’ Digital Peacock shows digital tools for each objective. Kelly has links to all of these tools on her site.
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Check out this link for a Prezi presentation by Philippa Cleaves of 70+ web tools organised for Blooms Digital Taxonomy.
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iPadders.eu has also published an
interactive guide to apps based on Garner's Multiple Intelligencies.
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This image is from a Edudemic article: How to use Pinterest with Bloom's Taxonomy.