Savings Calculator and Loan Calculator

Whether in a particular curriculum Contains material on Finances, there are few topics more critical in a real life for a student to grow with savings and borrowing money. Without this two issues today's modern life is not worthy.
The savings calculator easily calculate an amount of savings in a different time frame with different interest rate. On the other hand loan calculator can easily calculate a loan with an interest rate in different time frame. By knowing these tools a student can easily figure it the relationship between savings and borrowing habit. A student can easily figure it out in order to earn something how much money need to be saved in what time and how much need to save in order to repay a loan also. These tools is very practical rather than regular classroom curriculum.

Pie Chart

The Pie Chart manipulative offers a convinient way to generate a representation of parts in relationship to a whole group. We can use Pie Chart to illustrate links between fractional and percentage representations of a group of given information. The Pie Chart is very useful and visiable graph to show the fractions and prencent.

Box Plot/ Histogram

Box plots and Histograms are both used to summarize data graphically. This two methods are very useful to find mean, median, maximum, average, percentage of number of given data. A box Plot(Box and Whisker Plot) shows the minimum data value, the lower quartile, the upper quartile, and the maximum data value of a number line. A box is created between the the lower and upper quartile and the median is marked inside the box.
A Histogram divides the range of values in a data set into intervals. Over each interval is placed a block or rectangle whose area represents of the data valuee in the intervals.

Week-6:Reaction to Private Universe Workshop-Problems and Possibilities

The 6th video demonastrated a problem that was asked to solve it as a part of Rutgers long Term study. The main idea for the whole purpose was that to introduce a calculus problem to a group of senior high school student who never got a chance to do that kind of problem and also to justify a calculus problem can be solved by everyone eventhough they never had calculus. The problem was a picture of a cat with 24 pictures of different movements. The problem was called ' Cat Walk' where the picture had a background so distance can be determined and the students were provided times. The groups were asked to find out the speed of the cat in the 10th and 20th frame. the students were devided in several groups and worked with in groups by sharing the individuals assesment. On the other hand the Researcher were allowing studens discoveries and cllaborations. The video demonastrated how students need oppourtunities to build personal representations by using science and mathematical skills. The students tried to find accelaration of cats speed in the 10th and 20th frame and putting infomations in a graph and able to draw picture of cat's walking eventhough each group came out with different data because each group follow different scientific method for measurement. the groups also able to put that information in a real life experiences. They expanded the distance from 10 times to 50times from the cat's walking distance and tried to follow the cat's speed when they walked like a cat with the distance. This such practice helped to visualize the cat's accelarartion lively. Then they able to findout the motion of the cat and where it was certainpoints and relate to the graph. This practice took couple of days in a two week camp that shows how a mathematical problem solving ability grown. In my opinion this such practice would never possible in a real life classroom setup but it shows that how it could be different and interesting to show others an ideaa of solving a math problem.

Virtual Manipulatives-fifteen Pizza

The goal of this pizza is to arrange the fifteen numbered tiles to make a particular pattern. The basic goal of this technique was to understand patterns, relations and functions. the student has so much to think about the possible pattern and arrangement. They can come out too many ways with too many shapes by using fifteen tiles in different patterns. They need to use their math skills to arrange yhese tiles in a specific shape. I liked this lesson for middle school students because they can use their algebric knowledge and geometric knowledge as well to rearrange all tiles for a particular shape.

WEEk-5 Reaction To Private Universe Workshop-Building On Useful Ideas

I think this is an interesting video about the about the ability of a student in different grade level where they were asked by their teacher to use their individual skills, knowledge and creativity. The important think was that in this video the student were asked to do the activity without any formal instruction or any formal answer. For that reason all individuals able to use their own thinking to solve the problem and able to see their own problem whichone was stated by Mr. Arthur Powell "own a problem" by an individual. It is very important to get skills in any situation to see that problem well, it makes easy to solve the problem. In this video all the teachers in different grade level gave students oppourtunity to think about the problem and come out a solution where they were able to justify their answers. For example Melissa Sharp- a first year teacher in Englewood School District was asking her student all the possible questions to justify the answers because she believes that by practicing this student would be more understandable with a solid foundation for their future grade. The effectiveness of the method was seen in the high school students when they were asked to solve a problem where they used pascel theoram to solve a problem which one they learned before grade. finally it is very simple to say that if you would allow students time and oppourtunity they will able to see problem and solve the problem as well, and they could able to use this skills in any time they need to use it.

week-4 Reaction to Private Universe Workshop 4-Thinking Like a Mathematician

The important message about this video is that let kids think, be patient, try to simplipy the problems, and look for a pattern that work to justify the problems. The another important toos is that let kids work in a couple of groups and then sharing their groups thought between the groups and finally try to come out a common solution where every individual is satisfied. The role of the teachers were very crucial. Every individual teacher gave students enough chances for critical thinking and tried to navigate their all thoughts in a common direction instead of being helpful by giving the clue. The Problem solving math is kind of realistic math where kids can feel interest eventhough it seems hard.the whole process in the video for different criteria were very active learning where kids involved themselves, questioned, stressed out to findout the common pattern and justify the findings and continue worked until get aperfect answer.One thing I foundout that pretty differnt then todays most of the classroom activities where kids just follow the procedure given by their teacher to solve a problem in a very limited time . In todays classroom activities do n't really allow kids and teachers enough time and envirinment to use the strategy that used for problem solving mathematics in this video.
Finally I would like to saythe teacher and kids need the oppourtunity and the environment where school will allow both parties to create a huge numbers of active learner where kids would love to think and apply all toughs strategise like a real mathematician.

Algebra Tiles-Visualize multiflying and factoring algebric expressions.

This method is very simple to understand about factors of a multiplications, grouping of one equal to how many things, finding the unknown variables by visualizing tiles in different scenerio. I believe this method of using tiles to learn algebric expression for the youngers would be very helpful. visualizing a problem solving seems very effective than any other method because by putting the tiles in in different combination in different shape like different size of rectangles in a systemic order like one group of variables in horizental mood and other group of variables in vertical mood help to find out the multiplication of two different factors, for example (2x+y)(3x+2y). On the other hand combination of one variable and different numbers in a rectangle shape can easily show the the value of the variable(the unknown number), i.e. x=? can easily findout from x+2 and 2x+8 combinations of tiles by putting in a rectangle shape. this tiles method also help to know about grouping. Like (2m+8) is how many groups of ( m+4) can be easily vsiable by putting rectangle shape tiles in a rectangle shape worksheet. The interesting thing about this method is that kids can use their creativity of making different shape tiles with different colors tiles for different numbers, and variables.