Saturday, November 27, 2010

Teaching Mathematics (Volume of Liquid)




FACULTY OF EDUCATION AND LANGUAGES

HBMT 1203: TEACHING MATHEMATICS IN YEAR TWO
SEMESTER: SEPTEMBER 2010
ASSIGNMENT (30%)

NAME: 
LIEW PEI SZE

I/C:
790623-09-5050

TELEPHONE NO:
012-5500613

E-MAIL:
Liewps5050@hotmail.com

GROUP TUTOR:
TEO CHUEN TICK

E-TUTOR:
HALIMATUN BT MD YUSOF

LEARNING CENTER : 
SEAMEO RECSAM

SEMESTER : SEPTEMBER 2010




Table of Contents:


Introduction

Video about measuring volume of liquid

Two teaching aids that can be applied to Year Two students

Teaching Activities

Higher Achievers

Steps of the teaching activity

Lower Achiever students

Steps of the teaching activity

Conclusion

References


Introduction:


Liquid measurements describe how much volume of liquid occupies a container. However, students often believe that the amount of liquid changes when a set of liquid is poured from one container to another of a different size. Refer to Figure 1, student believes that there is more liquid in the one that has the highest level of liquid (i.e. left hand container in c).

Figure 1: Misconception of Liquid

 

Video about measuring volume of liquid


The video shows how liquid is measured. In this video, a graduated cylinder is used  to measure the volume of liquid with the help of a green bean. Water is poured from a tap water into the graduated cylinder in order to measure 600ml of water. In order to measure 600ml of water, the water level in the graduated cylinder have to be at the 600ml scale. Therefore, the scales on the graduated cylinder is shown clearly in the video for the viewers to observe. The tap will pour water gradually into the graduated cylinder and will then stop pouring occasionally. This is to let the green bean to check whether the water level have reached 600ml or not. Once the water level have reached 600ml, the tap will stop pouring water into the graduated cylinder. This video is able to let the viewers to see how liquid can be measured accurately by using a graduated cylinder.


Two teaching aids that can be applied to Year Two students.


1.      Beaker
Beakers are common tools that can be found in a science laboratory. They are simple, clear glass containers used for measuring liquid. Beakers are not a very economical teaching aid but it is able to help students to measure liquid properly because it has measuring scales and it is easily available in the science laboratory in school. Besides that, beakers contain a small spout that makes the process of pouring easy. Plastic beakers should be used in order to avoid accidents as glass is fragile and easily breakable.

2.      Graduated cylinder
A graduated cylinder is used to measure accurate volumes of liquids. It is also commonly found in a science laboratory. Graduated cylinder is a good teaching aid because it has measuring scales to help students to identify the volume of liquid accurately. Plastic graduated cylinders are preferable as it is easier to handle by the students and is not breakable.



Teaching Activities

Higher Achievers


This activity aims to teach students to overcome the misconception of measuring liquid by observation. This activity involves observing the characteristics of a beaker/container such as the diameter, size and height. Besides that, students also need to observe the water level in each beaker. This activity involves a lot of interaction between teacher and the students. Asides from that, there will also be interactions among students themselves as they are working in groups.

Steps of the teaching activity.

1.      Different sizes of beakers are display for the students to observe.
2.      Students are required to form into groups of 4 to 5 students.
3.      Each group will then be asked to tell the characteristics of each beaker (i.e. height, width, capacity of the beaker ). This step is important to let the students to understand the characteristics of containers (i.e. the different sizes of the beakers.) Interactions among students with the guidance of teacher will help the students to understand faster.

Figure 2: Characteristics of Beakers

 
4.      After that, each beaker with be filled with 100ml of water. Students are required to observe the height of the water in each beaker. At this point, some students might start to wonder why the water level in each beaker is different.
5.      Then, ask the students which beaker has the higher volume of water. This question is to check whether students are aware that the volume of water in each container is actually the same.
6.      Assuming that the students know that each beaker contains only 100ml of water, ask them why the water level in each beaker is different. Then, explain to them that beakers with a bigger diameter will have a lower water level while beakers with small diameter will have a higher water level.
7.      Besides that, height do not determine the capacity of the beaker.

Lower Achiever students


This activity aims to teach students to overcome the misconception of measuring liquid by comparison. This activity involves comparing the difference between a graduated cylinder (which is thin and tall) and a beaker (which is fat and short). These two containers are used because the containers are totally different from one to the other. Therefore, students are able to differentiate it easily without any problems. This activity involves interaction between the teacher and students. Students will also need to interact with each other during this teaching activity. Interactive teaching activity will be able to help students to learn faster and make learning fun.

Steps of the teaching activity.


1.      Students are required to form into 4 groups.
2.      An empty 100ml beaker and an empty 100ml graduated cylinder are shown to the groups.

3.      Students will be asked to differentiate between the two containers and which container will be able to contain more water. At this point, the teacher needs to give some hints by asking questions like “which container is taller?”, “which container is fatter?”. These types of questions will help the students to think better. Each group needs to tell at least a differences of the two containers.
4.      Then, the characteristic of the beaker and graduated cylinder is written on the board for the students to refer.
5.      Let’s say there are Group A, B, C and D. Each group will receive :
Group A :A 100ml graduated cylinder filled with 100ml of water.
Group B: A 100ml beaker filled with 100ml of water.
Group C: An empty 100ml graduated cylinder.
Group D: An empty 100ml beaker.
6.      Ask each group whether the water will be able to fill into the empty beaker and graduated cylinder or not.
7.      Group A will pour the 100ml water in the graduated cylinder into the empty beaker of  Group D. While Group B will pour the 100ml water in the beaker into the empty graduated cylinder of Group C. Now, we will have a graduated cylinder filled with 100ml of water and a beaker filled with 100ml of water.
8.      Students will be asked to observe the water level in the graduated cylinder and beaker.
9.      At this point, students will notice that the water level in the graduated cylinder is higher compared to the beaker. Each group will be asked to give a reason why the water level in each container is different even though 100ml water is poured into it. Now, the teacher need to refresh the students about the characteristic of the graduated cylinder and the beaker that was discussed earlier.
10.      Lastly, explain to the students that the water level in a container will not determine the capacity of the container.

Conclusion:


In conclusion, the misconception of liquid can be overcome by having a correct teaching aid followed by an interesting teaching activity. The teaching activities will allow student to think and overcome this misconception easily.

References:


1.      Primary Magazine.(No date).[Online] Issue 20. https://www.ncetm.org.uk/resources/22757 [Oct 24, 2010]

2.      Applied Science - Science and Math (3B) Lab.(No date).[Online] http://www.msnucleus.org/membership/html/k-6/as/scimath/3/assm3_5a.html [Oct 24, 2010]

3.      Eden Francis (No date). [Online] Volume Measurements. Clackamas Community College. http://dl.clackamas.cc.or.us/ch104-01b/volume_meas.htm [Oct 24, 2010]

4.      Beaker(glassware). (No date).[Online]Wikipedia. http://en.wikipedia.org/wiki/Beaker_(glassware) [Oct 25, 2010]

5.      Graduated Cylinder. (No date).[Online]Wikipedia. http://en.wikipedia.org/wiki/Graduated_cylinder [Oct 25, 2010]

6.      How To Measure the Volume of a LIquid Using A Graduated Cylinder. http://www.youtube.com/watch?v=iPkZlce84ag. Uploaded by agbonobo.

7.      Measuring volume by Peter Weatherall. http://www.youtube.com/watch?v=Wl6VDFaNn10&feature=related. Uploaded by peterweatherall

8.      Blogger address: http://hbmt2103liewps/blogspot.com

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