Week 7 Virtual Manipulative: Diffy
This manipulative is found under Number & Operations (Grades 6 – 8). Diffy is designed to help students practice subtraction. Students have to find the differences of the given number. If their answer is correct they continue till they are done filling in all the answers. If they type in the wrong answer they will not be able to continue on to the smaller squares. Students are able to choose which kind of numbers to use for the difference. Students can pick from whole numbers, integers, fractions, decimals and money. This is a good manipulative to use with students once subtraction has been introduced with one of the five number options.
Week 7 Lesson Plan: From A to Z (Geoboard)
From A to Z is a two player game. Students take turn making secret letters on their Geoboardes and describing them to the other player who tries to make the letters from the information given. In this activity students have the opportunity to identify attributes of lines and communicate specific information. This activity provides students with a way to link mathematics to another important K-2 curriculum area such as language arts.
Monday, March 29, 2010
Sunday, March 28, 2010
Week 6
Week 6 Virtual Manipulative: Attribute Trains
This manipulative is found under Geometry (Grades 6 – 8). Attribute Trains helps students recognize attributes and the pattern of attributes that appear in the given Train. There are three different attributes to pick from color, number and shape. Students have to recognize which of the three is in the Train and finish it. If a wrong piece is put in it will go back to the pile of pieces. When the train is finished the pattern is given in words. This is a good manipulative to use with students who can solve simple patterns. Since there are three different attributes to pick from it makes it more of a challenge.
Week 6 Private Universe Project:
This week’s Private Universe Workshop 6 – Possibilities of Real Life Problems focused on how students come up with strategies to build their understanding of a real-life calculus problem at a young age. When the problem was first introduced in the video I thought it would be impossible for the students to solve. Then Aquisha came up with a good way to start to solve the problem. The way she went about trying to solve it gives the other students a visual representation of the movement of the cat. Making the scale 50 times bigger was a great idea. With this the students got to see when the cat speed up and how much. One of the things I have likes most about the Private Universe Project is how hand on it is. I think students learn more this way. When they can visual see something it is the best experiences they will get. It is interesting how the students go from thinking the cat was running to thinking he was jumping. They get their ideas from looking a graphs, data and talking to each other. They might not have come up with an exact answer but they all learned something. It was good to hear that they use Math in their everyday life. They take what they learned throughout the years with them forever.
Week 6 Lesson Plan: Counting Colors (Color Tiles)
In Counting Colors students spin a spinner with sectors allocated to the four Color Tiles colors and keep track of how many times each color comes up within a specific number spins. In this activity, children have the opportunity to organize and graph data, determine the probability of the occurrence of unequally likely events. Students will first have to guess which number will have ten spins first. They will take turns spinning and use the color tiles to keep track of the number of times. Once one of the colors reaches ten they will have to stop. And talk about their outcome. Everyone’s findings will be up into a larger class graph. We will talk about their results.
This manipulative is found under Geometry (Grades 6 – 8). Attribute Trains helps students recognize attributes and the pattern of attributes that appear in the given Train. There are three different attributes to pick from color, number and shape. Students have to recognize which of the three is in the Train and finish it. If a wrong piece is put in it will go back to the pile of pieces. When the train is finished the pattern is given in words. This is a good manipulative to use with students who can solve simple patterns. Since there are three different attributes to pick from it makes it more of a challenge.
Week 6 Private Universe Project:
This week’s Private Universe Workshop 6 – Possibilities of Real Life Problems focused on how students come up with strategies to build their understanding of a real-life calculus problem at a young age. When the problem was first introduced in the video I thought it would be impossible for the students to solve. Then Aquisha came up with a good way to start to solve the problem. The way she went about trying to solve it gives the other students a visual representation of the movement of the cat. Making the scale 50 times bigger was a great idea. With this the students got to see when the cat speed up and how much. One of the things I have likes most about the Private Universe Project is how hand on it is. I think students learn more this way. When they can visual see something it is the best experiences they will get. It is interesting how the students go from thinking the cat was running to thinking he was jumping. They get their ideas from looking a graphs, data and talking to each other. They might not have come up with an exact answer but they all learned something. It was good to hear that they use Math in their everyday life. They take what they learned throughout the years with them forever.
Week 6 Lesson Plan: Counting Colors (Color Tiles)
In Counting Colors students spin a spinner with sectors allocated to the four Color Tiles colors and keep track of how many times each color comes up within a specific number spins. In this activity, children have the opportunity to organize and graph data, determine the probability of the occurrence of unequally likely events. Students will first have to guess which number will have ten spins first. They will take turns spinning and use the color tiles to keep track of the number of times. Once one of the colors reaches ten they will have to stop. And talk about their outcome. Everyone’s findings will be up into a larger class graph. We will talk about their results.
Sunday, March 14, 2010
Week 5
Week 5 Virtual Manipulative: Bar Chart
This manipulative is found under Number & Operations Grade Pre-K to 2. This manipulative is a good way to introduce bar chart (bar graph) to students. It could record as many as 12 columns and 20 rows. The students can label the columns whatever they want. I used this manipulative in a kindergarten class. We talked about our favorite colors. Since the colors of the columns are preset I made sure that they were the right colors so that the students did not get confused. After I made the bar chart they each had to copy it on paper. For the younger grades the standard mode would be used which counts the number of filled cells. The percentages mode shows the percentages of the total number that is in each column. This could be used in the upper grades.
Week 5 Private Universe Project:
This week’s Private Universe Workshop 5 – Building on Useful Ideas focused on the teacher’s role in the classroom. As teachers we should always challenge are students. We should get them to think in different ways. Students have to be asked why and how. The teachers in the video asked their students to explain how they got their answer and why they thought it was right. This makes them think more about what they did and how they could change it if needed. The video showed how the students were able to build on what they had learned in the past. It is very important that students are able to recall in the past, not only the day before but years ago. The students recognized how things they learned in the past could be used to solve the new problem.
This manipulative is found under Number & Operations Grade Pre-K to 2. This manipulative is a good way to introduce bar chart (bar graph) to students. It could record as many as 12 columns and 20 rows. The students can label the columns whatever they want. I used this manipulative in a kindergarten class. We talked about our favorite colors. Since the colors of the columns are preset I made sure that they were the right colors so that the students did not get confused. After I made the bar chart they each had to copy it on paper. For the younger grades the standard mode would be used which counts the number of filled cells. The percentages mode shows the percentages of the total number that is in each column. This could be used in the upper grades.
Week 5 Private Universe Project:
This week’s Private Universe Workshop 5 – Building on Useful Ideas focused on the teacher’s role in the classroom. As teachers we should always challenge are students. We should get them to think in different ways. Students have to be asked why and how. The teachers in the video asked their students to explain how they got their answer and why they thought it was right. This makes them think more about what they did and how they could change it if needed. The video showed how the students were able to build on what they had learned in the past. It is very important that students are able to recall in the past, not only the day before but years ago. The students recognized how things they learned in the past could be used to solve the new problem.
Week 4
Week 4 Virtual Manipulative: Number Line Bounce
Number Line Bounce is under Number and Operations grades 3 – 5. This manipulative helps students practice with addition and subtraction of whole numbers. Students work on the number line moving left and right with the given arrows to end up with the given target. Using this manipulative students should be able to understand that there are several different ways to arrive at a given answer. Students first have to put the arrows on the number line and then write the number sentence. What I like about this manipulative is that it does not only use two numbers in the problem but four, it makes it more challenging for the students.
Week 4 Private Universe Project:
This week’s Private Universe Workshop 4 – Thinking Like a Mathematician talked about the Tower of Hanoi Problem which we learned about a few weeks ago in class. The students had to find out how long it would take to solve the puzzle with 100 pieces. The problem was introduced to them by Robert Davis. He showed the students how it might be easier if they simplified the problem. It is important to show students that there are several ways to solve a problem. With this problem the students noticed that there was a pattern involved. The students found that there were many patterns involved. After finding out how many moves they worked together to figure out how long it would take. They came up with the answer of two billion years. In part two of the video it reminds us that we have to let our students figure problems out on their own. We should not always give them the answer right way we should make them think on their own.
Week 4 Lesson Plan: Changing Areas (Color Tiles)
For this week’s lesson I chose Changing Areas. Students will build a Color Tile shape and then find its perimeter. They will have to build other shapes with the same perimeter and then find the area of each of these shapes. In this activity children have the opportunity to measure to find the perimeter of a shape. They will also develop the understanding that figures with the same perimeter can have different areas. What I liked about this lesson is that students are reviewing perimeter and area of shapes. With this lesson students learn that the area and perimeter of shapes are not always consistent with each other.
Number Line Bounce is under Number and Operations grades 3 – 5. This manipulative helps students practice with addition and subtraction of whole numbers. Students work on the number line moving left and right with the given arrows to end up with the given target. Using this manipulative students should be able to understand that there are several different ways to arrive at a given answer. Students first have to put the arrows on the number line and then write the number sentence. What I like about this manipulative is that it does not only use two numbers in the problem but four, it makes it more challenging for the students.
Week 4 Private Universe Project:
This week’s Private Universe Workshop 4 – Thinking Like a Mathematician talked about the Tower of Hanoi Problem which we learned about a few weeks ago in class. The students had to find out how long it would take to solve the puzzle with 100 pieces. The problem was introduced to them by Robert Davis. He showed the students how it might be easier if they simplified the problem. It is important to show students that there are several ways to solve a problem. With this problem the students noticed that there was a pattern involved. The students found that there were many patterns involved. After finding out how many moves they worked together to figure out how long it would take. They came up with the answer of two billion years. In part two of the video it reminds us that we have to let our students figure problems out on their own. We should not always give them the answer right way we should make them think on their own.
Week 4 Lesson Plan: Changing Areas (Color Tiles)
For this week’s lesson I chose Changing Areas. Students will build a Color Tile shape and then find its perimeter. They will have to build other shapes with the same perimeter and then find the area of each of these shapes. In this activity children have the opportunity to measure to find the perimeter of a shape. They will also develop the understanding that figures with the same perimeter can have different areas. What I liked about this lesson is that students are reviewing perimeter and area of shapes. With this lesson students learn that the area and perimeter of shapes are not always consistent with each other.
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