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Always a fan of the fibonacci sequence and think this does a nice job of describing the relationship in nature. I really like the examples, but could do withouth the authors humor.

In this unit, students will investigate a relationship between recursive functions and exponential functions. Math Content By the end of this unit, students will: Represent data using tables, graphs and rules Investigate patterns and make conjectures Express sequences with recursive and exponential rules Describe and interpret exponential functions that fit the patterns Individual Lessons Lesson 1 - Trains, Fibonacci, and Recursive Patterns In this lesson, students will use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns. Lesson 2 - More Trains In this lesson, students will use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns. Lesson 3 - Recursive and Exponential Rules In this lesson make connections between exponential functions and recursive rules. Students will use tables to create graphs, define recursive rules and find exponential formulas.

Another nice description of how to think about blogging in the classroom and how to kick up the rigor of the process. I do like the description of different purposes from Will Richardson's book.  Always looking for ways to bring this conversation to the forefront again and again.... One of the highlights of the conversation centered around a section (on p. 32) of Will Richardson's Blogs, Wikis, Podcast and Other Powerful Web Tools for the Classroom that articulates so perfectly the different levels of blogging: Posting assignments (Not blogging) Journaling, i.e. "this is what I did today." (Not blogging) Posting links. (Not blogging) Links with descriptive annotation, i.e., "This site is about…" (Not really blogging either, but getting close depending on the depth of the description). Links with analysis that gets into the meaning of the content being linked. (A simple form of blogging). Reflective, metacognitive writing on practice without links. (Complex writing, but simple blogging, I think. Commenting would probably fall in here somewhere). Links with analysis and synthesis that articulate a deeper understanding or relationship to the content being linked and written with potential audience in mind. (Real blogging). Extended analysis and synthesis over a longer period of time that builds on previous posts, links, and comments. (Complex blogging).