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The material is awesome, SImply because i love Fibonacci serie, it could to help my studens in this area, because always is better a interactive material.

This site gives the material type, technical format,location, author and submitter. The material was excellent. There are innumerable concepts for our information. The site is very useful and interesting for new learners like me. Being an art student, I was very impressed by the details of Fibonacci's rabbits, Dudedeney's cows and honey bees and family trees. I was excited to see Fibonacci numbers in so many fruits and vegetables. It was very informative. Dr Knott's Fibonacci and Phi was very impressive. The latest being the Pen rose tilings has exhibited five-fold symmetry yet which do not repeat themselves.

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If you are someone who enjoys numbers or working with patterns then you will
like this site. This site deals with other kinds of Math. For instance,many
puzzles in dealing with nature and animals to try like the honeybees where
numbers add together to make a certain group. The number Trick is a must to try
under Mathematical Magic Fibonacci Numbers. It gives a very good explanation and
a formula on how to do it. So you pick any two numbers add plus the new number
ten times and try it with your friends. Also, working with triangles in making a
number pattern inside the triangle. And,you can try doing a family tree.
Also,numbers dealing with prime numbers and factors I found that this part was
difficult to understand the pattern of numbers. However, there was a table of
numbers was easier to see the process.As well as towards the end of each puzzle
it gives an option if you like for Things To Do so you can try it yourself. And,
they are also great pictures included for each puzzle. So, if you like doing
puzzles and nature then you would enjoy this site. Also,any of you teachers out
there it is great tool because they can work with their students in groups
dealing with patterns and numbers. I enjoyed viewing this site for about an hour
in solving these puzzles.

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The content on the site is very helpful and entertaining. The site describes Fibonacci's numbers simply with a variety of useful visual aids.Some of the examples used to describe how Fibonacci's sequence works is a little bit confusing but most of them get the point across well. The examples used to describe the golden number was also fascinating. I found that using the examples was not difficult and the questions did not require too much critical thinking. It was an easy to learn system.

I found this content educational and interesting I had read about this in my math book but this helped me understand better because of the visual aid.The material was easy to understand,pleasurable to use. Great for the first time user.I thought it presented the content accurately.It made the concept easy to grasp because of the way information was related to every day items.

I spent about 7 mintues looking over the page, and basically I was looking over for titles that striked my interest. I think the one that I liked alot was about Fibonacci and who he was. I think its great when learning math to understand the history too, that way you can pick up interests to students who love history and can relate math through it. I think the quality of the content is great, its extremely informative, and looks like it is updated consistently. I think it could enhance teaching because of all the information it contains...but, I personally wish there was better visuals ( like maybe pictures of rabbits to replace/represent numbers) that were interesting besides the use of numbers as the visual aid. That would probably keep me more engaged when viewing this site. It was really easy to view this website, especially when it provided a Content Box at the top of the website so I can see a preview of the remaining website and it categories without have to look through the whole thing. Overall I think its great!

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The website is pretty useful, I spent about 10 minutes trying to navigate to this page, a few times it didnt load right away (might be my computer) As for the content, I enjoyed it. I like Fibonacci numbers and think that material that is at our disposal like this should be used and brought to attention more.

This Web site is full of information. I spent about an hour browsing the links and looking at it from a teaching perspective as well as a practical perspective. I found that there was a mathematical explanation for a graceful spiral. Who knew! Yes, I'm new to Fibonacci and mathematical theories, but what I found in the art and architecture links opened up a new world to me. As a newbee, the puzzles were a bit over my head, as were some of the explanations. But, new to Fibonacci as I am, the concept clicked when I could link a string of numbers to an aesthetic in art. I recommend checking out Brian Knott's ray tracing in the art section... and in the architecture section, the Cal Poly Engineering Plaza is stunning. Unfortunately I found many broken or outdated links which was a bit frustrating. However, I still recommend this site for the novice or advanced mathematician as well as those who teach art or math. This is a very complete Web site.

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this is very detailed and interesting... it helped me understand fibonaccia numbers a lot more -dean levita

really good links i reviewed alot of fibonocci numbers and phi good refresher

I like the fact that we did cover Fibonacci numbers in my class. What really impressed me about this website is that the information was useful if you just wanted to get a quick overview but if you a more clear understanding in depth that is also available to you.

I reviewed Fibonacci and we have also covered it in class, it was interesting to learn about in class and I loved the way the Golden Rule plays many roles in everyday life. The content in this description is very helpful in a way that it helps to describe things a little more clear. I think more information will enhance student and staff learning on this certain mathematical concept.

This is a very informative site. It provides a lot of materials about Fibonacci Numbers and the Golden section. It shows the application of Fibonacci numbers and the golden rule in nature as well as, the mathematical side of these. The content was written in an easily understandable format

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I spent about 45 min on this site! I loove the math involved in fibonacci! (Mostly because it has to do with nature) I think this site does an awesome job explaining everything involved with fibonacci. It's easy to understand and definately will be of help when I need to do further research on this subject! :)

This section is great for people who have studied Fibonacci numbers in the past, or even if it is their first time. It explains first what they are and what they require, secondly, places you can find them (i.e. nature) and also talks about the golden section. It gives you realistic applications of the Fibonacci numbers which usually helps people when dealing with math. A practical application is always helpful. It also gives art references which would help someone connect to the lesson. The quality of the page and information is decent, accurate and easy to follow.

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I spent about Ten minutes reviewing the material. It was interesting to me because I have seen the Fibonacci numbers and golden section in class before. It was interesting to see a different outlook on the material. The material was put together very well and was very organized. It was easy to understand and read. It presented the material accurately and showed great detail. I feel that if a student needed to access material about Fibonacci numbers and the golden section, this material presented would be a good source of information. It would be good because it is easy to understand, but all has all the information needed to know everything you would want to know about this topic. I this material would be easy to use for first times user. I am a first time user and was glad to find a description of material I had seen before, in a different way. It is good to have a different perspective on material that you have seen before. If I wanted to know more about this topic I would use this website.

The website is defiantly packed with information. I've done research on Fibonacci numbers before and this website would have been helpful and more trustworthy then some of the other sites I visited. The information is very thorough and would make an excellent resource to teaching.

I browsed around the site, clicked on links, and surveyed it from the perspective of both a math student and a content judge; read through various portions of the site and subsequent links. Content of the site is excellent, filled with extensive information on the Fibonacci numbers and its related topics; plenty of information along with numerous references and external sites to explore. There is information on who Fibonacci is (personal information, biography) along with what the Sequence is, how it is used, and its history. Very relevant to learning math/Fibonacci sequence and would most definitely be useful for anyone researching this topic, as the information is extensive and well-researched, along with being very well-represented. Site is easy to navigate, links are clearly marked, and would be great for students to use as well as teachers.

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I think this material is *very* well structured and packed with just about all that one could imagine about Fibonacci Numbers and The Golden Section and more! I spent about a good 45mins to an hour on this website, reading up how Fibonacci # can be found in various ways. The Rabbit Sequencing was very interesting and I liked the activities that went along with it too! I enjoyed reading about the history behind the man, and controversy over the theory. The quality of the materials is outstanding, very well thought out and clearly represented in a manner that is easy for all levels to appreciate. I have no doubt that students would benefit from using these materials to build a foundation of knowledge on this subject and explore new things too.

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This is a great website in aiding as a learning tool. I browsed the website, and hands down it deffiently is the go to website when searching for answers. I have studdied about Fibonacci's number and this website does a great job on covering the material. They cover the material in every aspect. It gives great examples, what is it, where it's found, where did it come from.

When I first clicked on this link, i expected the site to list a bunch of facts on Fibonacci numbers and the golden section. But as i explored the sight further, i found the material to be very helpful and interesting. take for example how the site explained, fibonacci and the original problem about rabbits where the series first came up. I thought that this site would be helpful for someone who wants to learn about Fibonacci numbers and get an overview of some problems. It was pretty self explanitory on how to veiw and use the sight.

Thank you for that. It took me a while to digest what I was reading, but I appreciate the details that went into creating this. It took about twenty minutes for me to just browse lightly over the website. All in all, I thought that it was very impressive and easy to navigate around. The content was great!The fact that it was broken down into sections with links below made it a lot easier. I have read lightly on Fibonacci's Numbers and I wish that someone had told me about your work earlier, because the explanation is very detailed and organized--the topic was very well covered. I would definitely visit this site again next time I have to write a paper. The site is great for students who are looking for more information on Fibonacci Numbers, and it's also good to read for fun and curiosity.

I think that this topic, the Fibonacci sequence in particular, is very interesting. I enjoy the materials that were used to further explain and illustrate the concept of the Fibonacci numbers. The visual aides that were used were very effective, in fact the material relating to the Fibonacci square I found personally to be quite interesting. I had not heard about the Fibonacci square and with the examples that are used in this material, it makes it very clear and strikes in me a new found intrigue.

the site is really interesting and very exciting. its is very enjoyable somewhat is was kind of hard. if you dont know what Fibonacci means set counts 1 and 2 equals 3. 3 and 2 equal 5. etc

i spend a while looking over this website. the website is very detailed. however, it semms like a lot all at once. a little crowded and confusing.

I spent 15 minutes exploring this website. I feel this site has a lot of great material and number patterns tat are interesting and fun. This definently can help students by not only teaching them but giving examples and material to look at. This site is fairly easy to navigate I got mixed up a little.

I browsed through all the links and used the applets. This site is very helpful, it has a broad list of explanations, pictures, and visualizations to help the learner. It is well organized and had lists of references and further things to do that could be helpful for continued learning.

Hi, my name is Andy, i am a student at Mission College. There is a lot of great stuff on this website, i have spent all most 1 hour and 300 minutes on this website because it is so interesting. This site is very useful because everything is there, we don't need to spend 3 hours looking for the materials. For example, when i first click on this website i found the Fibonacci, so i click on it and it gave me a lot of informations. This section is really clear because it has all the information that a student would be able to do research on.

This site was a quick find. It took quite sometime to read through the page and get a good understanding of the information. The site is useful for people who are looking to teach and learn about Fibonacci numbers. The site contains great, quality information. There are many links to all the different aspects of this material, making it easier to follow along. For the most part the site is clear and helpful for anyone looking to learn about Fibonacci and the golden selection. The materials are simply written without too many distracting fonts, colors and pictures.

I spent 30 minutes reviewing material related to the Fibonacci website. I spent about half the time looking at the different number patterns and sequences. The other half of my time was spent exploring the many links. In addition, I learned about the Golden String also by Fibonacci which reminded me of modern computer binary code. The website presents many useful teaching instruments, this is done mainly by visually showing the way in which the numbers are sequenced. I would say the website was great and would help people that were interested in learning more about Fibonacci Numbers.

The Fibonacci Numbers and the Golden Section was an amazing learning material. I spent a few days exploring this information to better further my knowlege about the Fibonacci sequence. I was really happy to find this information because it helped me to write my midterm paper. The material presented showed many concepts that pertain to math. Not only did the inforamtion pertain to math the Fibonacci sequence has connections with nature, sexual reproduction, and the human body. Students will learn a whole new persepctive on concepts that i mentioned above. learning about the fibonacci sequence gave me the opportunity to enhance other students in my class about nature and the golden spiral and how they followed the fibonacci sequence exactly. If you are a first time user using this website you should have no problem trying to access information to help futher better their knowlege on topics of interest.

I would like to say thank you to all who have taken the time in creating this web page. I really benefit a lot from the learning material. I have gotten some great ideas for extra math problems for my kids to work on over the summer.

After reading this great resource, I learned a lot of new interesting information to me from this site. I have never heard about Fibonacci numbers and the Golden section. I spent more than one hour reading and looking over all the material on this web site. I liked the graphics and images on the web site, because they were engaging. The Fibonacci Rabbit Sequence was one of the most fascinating concepts. I also found the plant example to be interesting, because as it appears that the amount of petals on plants is a Fibonacci number. The information was very informative and descriptive. I had to read a lot to understand the concept but the material was very clear and precise. It is very useful and helpful information. Teachers can use this as an aid to teach this concept. The site is very effective and will enhance a students’ knowledge. This site provides a lot of useful information which can be linked to many math courses and a person’s life.

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I spent almost 45 minutes to familiarize my self with this webpage. I found it really useful because it is an excellent resourse to aid teachers in teaching this subject and also it enhances learning capabilities. I think the material provided is very useful for Math students to help understand them the course better. I found that this website was very well organized and very easy to read. I spent some of the time on the fibonacci’s numbers, specially the rabbits and reproduction. The visual contents made it very interesting and easy to understand. The potential effectiveness for enhancing for both students and teachers is very high. I think the website is very easy to use and understand.

This is a great example of a well organized informative site. Be prepared to spend a few hours to really get into the material provided. The examples, reasoning’s, even the formulas are well organized. The Visual aids involved is very attractive, and keeps ones attention. It’s easy to read and we can easy find the value in the information provided. Again I can’t stress the amount of material available, and for those who are new to this material, don’t stress. The way it’s laid out, its presents itself to the highly experience to the inexperience.

I spent one hour going through all the different links at this site. Before I went to this site I had no idea what a Fibonacci number and the Golden Section was. But now after this I have learn a lot. The quality of the material was great and well organized. It was easy to read and learn. I liked the example of plants. On many plants, the number of petals is a Fibonacci number. For example, Daisies can be found with 34, 55 or even 89 petals. Also, Pine cones show the Fibonacci spirals clearly.

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I spent about two hours and so, I found this website to be really easy to go through and very easy to understand. This section and its visual content made it interesting and easy to understand. The examples and found them fun as well as useful in math. It helped me to grasp a better understanding of the concepts,and the quality of the material is great and written very deeply. I think this is a good site, and very good developed.

I spent hours reviweing this site and learning about Fibonacci numbers. The
quality of the material is great and written so you can understand it. This is
an excellent resource to aid teacher's in teaching this subject and it does
enhance learning capablities.

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After reading through this great information, it took me about ten to fifteen
minutes looking over and reading it. I thought that all of the information was
very useful and very descriptive as well. I tried taking down some important
notes and began writing down some of the bold letter words.
As I was reading all of the material that was given to me I realized that
most of the information helped me to understand what a real Fibonacci number was
and what it represents. All of the concepts that were brought up in this site
were very descriptive and very educational as well. I thought that all of the
information was educationally significant because it gave certain models and
explinations of what a student was trying to look at or find.
I think that the students learning will be enhanced if they choose to look
at this site because of the simple fact that it gives a great meaning to what
students are trying to find. This site also gives great understanding to all
the material as well. Once a student takes a look at what they are trying to
study, they will find that these sites will be very helpful to them no matter
what.
I also believe that first time users will find this technique very easy to
use and go by because it gives so many different examples and notes to
understand the material.

It was really intresting to come across this topic, as I just recently finished
reading The Davinci Code, by Dan Brown and the Fibonacci Numbers were used as a
cypher in two different situations. This topic is quite fascinating and I
really like how this website depicted feasible ideas of this concept. The
Golden Number was also discussed, which I found equally as intriguing. Again it
was great to see that almost everything in nature correlates with the golden
number.

I spent about 30 minutes browsing this topic and think it has given me a great
topic for my final research paper!

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I learned a lot from the sit, and before I went to this sit I had no idea what a
Fibonacci number was, and had no idea how the golden setion worked. This sit I
feel was very educational, and I also have to say it was very easy to follow.
So I enjoyed this sit a lot.

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I spent aproximately two hours fumbling through the site. this is no fault of
the site, but the inexperience of the user. i did spend some time on the
fibonacci numbers, specificaly the the rabbits and reproduction. this section
and its visual content made it interesting and easy to understand. i feel the
general effectiveness is good and that the overall learning potential for both
students and teachers is high.

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I found this website to be really easy to go through and very easy to
understand. I went through it for about 15 mins and looked at some of the
puzzles and listened to an audio play on the golden section.
The material seemed to be pretty accurate on the goldon section, at least
from what I have learned in my math class. It helped me to grasp a better
understanding of the concepts.
This site seemed like a pretty legitimate site for use as a teaching tool.
I think it could be a good tool.
The materials were very user friendly.

I spent a while going through this site and looking at all the different links.
Before I read this page I never even heard of a Fibonacci number or sequence.
But now after this I have an extremely good awareness of what they are now. I
liked the examples that they used on this page, how many bunny rabits can be
produced in a given time and the whole bumble bee thing. I never knew that
rabbits can reproduce after a month. Then the examples with the bee's the male's
compared to the female's were very cool. I tried the Fibonacci sequence for
myself by doing the diagram and following all the directions it says. This
material accurately presents concepts and models that are very good for
educational purposes. They break it down and explain it with out confusing you.
The models are good and also are not confusing. After reading this I now know
what the Fibonacci numbers are and how the Fibonacci Sequence appears in nature.

I spent a fair amount of time reviewing the material and trying to grasp the
concept. I tried to follow along, rereading certain sections, but had very
little luck understanding.

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After spending 10 minutes on how to figure out how to get to the web page, I'd
say I spent about 20 minutes really grasping all the information I could take
in. This web site was extremely easy to use and to get around. I loved
everybit of this site. The thing that struck me most was not necessarily the
math, but being a visual person, the pictures showed how it could be used in a
different scenario other then numbers and art. The golden section was already
fascinating for me, but to see how they provided different images and
explanations, this made my experience even better than originally expected.
Overall to get to the site was a bit difficult but after a couple of minutes
fooling around, you'd get the hang of it.

I enjoyed this facinating site...so many links and so little time! I especially
liked the animation regarding the circular spiral moving within the daisey-like
shape. So much of nature relates to the Fabonacci Numbers and the Golden Section

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I thought the site gave a lot of intresting ideas in fibonacci numbers. They
gave good examples of concepts to this type of math, making it easy to
understand how the math can be used. There was not alot of applications on the
site. It had educational purpose on puting projects togeather.

I love this site! I am a first time user and yes, it was very easy to use the
software. I'm embarrassed to admit I did not know what Fibonacci numbers are.
I just like the name, Fibonacci. Once I arrived, the simple explanation of what
Finonacci numbers are fascinated me (I guess it's easy to fascinate me). I
immediately thought, "how cool!" I went to the link that was mentioned in terms
of introducing one to the site and was drawn to the animals. I could spend
hours on this site. In fact, I may go back. Who or what is Fibonacci? I
actually figured out the rabbit problem. The visuals were great and having the
answer available is even better. Thank you.

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I spent a few minutes looking over this site. I found that it was organized
fairly well. I liked that right away it showed what the Fibonacci secuence,
golden section numbers, and the golden ratio all were. Then I told where to go
to get a basic understanding of the ideas.

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i thought that this section on fibonacci numbers was very interesting. i spent
a few minutes looking through a few of the examples and found them fun as well
as useful in math. this was on way to find patterns in sets of numbers. the
brink example and the honeybee demonstration was very cool because they had
visual that made it much easier for me to understand. i think this is a good
site for some to look at in order to make some aspects of this math simpler.

Fibonacci Numbers and the Golden Section is quite intriguing to me. Not
necessarily the history behind Fibonacci but the section on Numbers and Nature.
Since I have an appreciation for nature I am more inclined to gather my
information here. Mathematics? surrounds me and I haven?t been able to recognize
it. Fibonacci has my attention.
This site offers plenty of resources ? enough to make your head spin. My second
time exploring this site kept me busy for a couple of hours. If you have
difficulty understanding math and love nature this is the place to come.

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Hi, my name is Beatriz Solorio, and I'm a student at Mission college in Santa
Clara California. When visiting the Fibbonacci web site it took me
approximately an hour to read. This was due to the fact that I took time in
reading what I thought was interesting. I gave this site the highest score
because I thought that it really was informative and actually fun to learn.
This site focused on a series of numbers called Fibbonacci. It was interesting
to find out were this idea came from, and how these numbers are found in nature.
It also introduced the idea of "phi" the Greek representation of 1.61804....
The pictures were one of the best parts of this site; they really helped in
understanding the concept.

Lovely materials! They can certainly brighten up a math class!

Wow! This site is VERY rich in content and quality. I spent over one hour here
just the first time. I'm sure I'll be back many times. It is like math
play-land. The first time I heard of Fibonacci numbers and the golden section
was when I saw a Disney producion called "Donald Duck in Mathamagic land" or
something like that. It was a long time ago. The program and its treatment of
these topics has made a lasting impression on me. I was very pleased to see
those two topics together on one website. I know I only saw the tip of the
iceberg here. The site and its links seem endless. I especially enjoyed the
Fibonacci puzzle section, although I have only visited the simple games thus
far. I can see why this is an award winning site.

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It took me about couple minutes to get to the site
and more than 2hrs to review the materials on the site. The site is so large. It will take alot of time to cover every single information. I think this web-site is very useful for enhancing teaching and learning. The quality of material content is perfect. We can find most of valued informations we need about Fibonacci Numbers and The Golden section. I love the way they arranged the pages. The informations, formulars, examples, explainations, sources,etc are conected. Web- links and references are powerful. Especially, the website was designed very organization with interested graphics; thus,that makes the users are quite persuaded and actracted. The direction is clear and helpful for users easy to enter the entire pages. The materials are written simple, easy to read and understandable. It is excelent site, and suitable for different levels of background knowledge.

This site is rich in information on the Fibonacci numbers and their mystery.
I've spent 15 minutes following the links and the trail of information. Feasting
on examples and charts. The links to outside sites are just as good. I think
this site will do well to instruct the expert as well as the intermediate. There
is such a wealth of information that you'd be hard pressed to not go away withs
some deeper understanding.