Sunday, November 22, 2009

Doing, Assessing and Designing a Math project

Group: Rong, Darshan & Prem
The Project we chosen from "Mathematical magic is a variation of Fibnocci sequence.As we all know fibnocci sequences have amazing properties. This game is a generalisation of one of the fibnocci sequence's property.

in this game, some seemly unrelated numbers are actually related.By using mathematical analysis we can find out the reason behind the magic.The students will be surprised that we can use the one number to get the sum of ten numbers.Students will be benefit from the game by witness the of power of math.
However this game has a lot calculation of addition,which we think is both strength and a weakness.We say it is strength because it gives students a lot of practice doing addition fast and accurately. weakness is that if student makes only one small mistake , the results will not mathch to the magician's prediction.

Therefore, we think it might be better if students play in group of two.Each student will pick a number to play.Luckily, this game can be modified for two students to play at the same time, because it needs two number to start playing. When they are doing the calculation,one can do the addition and other can check the calculation results. This will reduce the addition mistakes to a minimum an densure the game to play smoothly.
Another problem to this game is that the calculation time and acuracy depends upon the addition calculation skills of the students.therefore it is better for low grade and highly struggling students to allow to use calculators if the game takes too long time.

The "Read Your Mind Game"
The project we have created is for grade 9 students.The major problem for grade 9 students is that they regard math as a hard and a boring subject.The project is intended to arouse student's interest in learning math.Math can be challenging.Math can also be fun.

In order to understand the theory behind the game they have to understand the polynomial addition, which is closely related to the topic of chapter:5 in "Math Links" grade 9.Therefore this activity is also good for students to get a deeper understanding of polynomial addition.The detailed activities are also described on the poster.

We created this game by ourselves and also refers to "Math Links 9" and "Mathematical Magic" The length of the game is 10-15 minutes.students are required to create a key from the chosen number. During the game students are required to take out their pens and papers.They need follow magician's guide to produce a key from a chosen secret number.
Because this is a fun activity for the students participate, the students will not be maked on their performance.However, for those students who are actively partcipating in the game and solving the mystry behind it,some bonus marks will be given as a reward.

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