NLVM-Factor Tree for 6-8 grade Algebra

Factor tree is a very useful lesson in algebra in any level. by practicing this lesson a student can easily get knowledge about possible factors of a number. Students can able to find out which one is not a possible factor. Student can easily know to compare the factors of two different numbers and then can easily find out GCF(Greater Common Factor)- the only common facors of two numbers. Student can also easily understand LCM(least Common Multiple)- the common multiple of two different numbers. Knowing GCF, and LCM is very important in the lesson of algebra in any level. Student can easily practice with different numbers in this lesson in order to get knowledge about FACTOR TREE.

NLVM-Number and Opperations/Fraction Comparing

This Manipulative lesson could help studens to learn about fraction, the size of fraction and the comparision of fractions. In this lesson a student can easily find a common group in a fraction. a student can easily practice of changing the numanator or denomantor and then easily compare the fractions. by practicing this a student can able to understand better about a fraction and its common group.

Private Universe Video-1: Analysis

This video showed that If you give an oppourtunity to a student to solve a problem they woud come out with some strategies to solve the problem. The video also proved that instead of giving a student a guided teaching the free thinking process would be more creative and challenging. This specipic strategy would be good in certain situation where a student can able to apply his own idea to solve that problem but teacher should be careful about choosing the problem. The reason is that few problem need some discussion prir to solve the problem. By practicing of giving student freedom of thinking to solve a problem is very good strategy to make the young kids confident where they would learn to take challange in future. Once a student able to come up with own idea to solve a problem it would be better understanable than following a guided instruction from a book or a teacher.

private universe video-2: Are You Convinced?

This videop showed the same struggle to solve a problem by a teacher or a student. In this video the teachers went throw the same problem in order to find the solution, the pattern. Even though both teachers and students had the same thinking process when they tried to solve the problem but they they used different stategies such as drawing the tower, patterns. I realized that some teachers had also same difficulty to justify their answer or verbalize their method. As student advances in grades it becomes more familiar for them to listen and respond the teacher individually. At the end the students wereable to see the problem in the tower concept and able to see a pattern with in their two partners. All students shared how they solve problem by discussing their strategies. In conclution the student established that coming up with a pattern would be the best strategies to to solve a problem with 4,5, and 10 towers.

Private Universe Video-3:Inventing Notations

This Video Shows that students got oppourtunites to share their ideas between the groups. I think this is one of the best way to learn from each other. When one group seemed to get frustated in short amount of time because of the difficulties then other group came out with different strategies to solve the problem. This whole process made the group of students engaged, energized. By allowing all students to discuss about the problem the students were able to see the problem and they tried to get the correct answers and also tried to satisfy every single person. The positive thing that the students got the idea is that without helping each one no problem couldn't be solved. This was a very good understanding that a good solution is possible by satisfying every single person who was involve in the process of solving the problem. Otherwise who wouldn't satisfy he wouldmight have the right answer. This was very unique way to solve a problem. The important observation is that little kids showed their attitude towards solving a problem.They also show their interest and sincerity by coming back to work as soon as lunch was finished. It is very challanging in today's class room lesson where student are taught a very formative way where flexibility doesn't exists. But this video shows how flexibility works out where students came out with different ideas and then came out with an unique solutions. Later a student came out a solution by using binary code whichone was very impressed. He was asked how he got the idea. He told that it just pupped out in his headThis shows students work in a group with flexibilty they could come out with an idea like mathematician.

Lesson Plan(Capturing the Flags):Cuisenaire Rods

I found this lesson is interesting for fifth to sixth grade. This lesson plan is taken from the CD. Capturing the Flag is interesting because in order to do this activity students need to the rods and their relationship between each other. In addition student need to know the numerical value of each rod. Student also need to know time table in order to calculate the values of rods to cover the flag. Students can easily learn about the fractions by placing the different rods in the flag. Finally student able to learn the strategic thinking because in order to finish the game they need to know how to start, where to start, and how to avoid the ending turn in order to win or loos the game. This lesson could be reversable if first round winner would be the last one who finished covering the flag the next round will be opposite is that the winner would be who didn't have to finish covering the flag.