Please state the url of your blog here (in your comments). Also describe how you can use your selected virtual manipulative in your comments. Give the url of where the virtual manipulative is found. (Dr Leong)
Sir, this is the correct one … the virtual manipulatives I’m interested in is on Maths is Fun in Geometry.
An interesting and creative activity can be found here and suitable for upper primary children. They also provide step by step explanation and procedure on how to identify and measure angles. A good enrichment and remedial exercise for pupils.
Leong’s comments: The website ‘mathsisfun’ has lots of activities. You need to explain more clearly which particular activity you are using, the purpose and how you are going to use it. Good effort for the research framework and reference on ‘drill and practice’.
The virtual manipulative that I came upon during tutorial today is Fill and Pour from National Library of Virtual Manipulatives at http://nlvm.usu.edu/en/nav/frames_asid_273_g_3_t_4.html. It is about measurements of volumes and capacities, whereby the students will be asked to solve puzzles that require them to fill and pour containers.
This puzzle involves two unmarked containers of 2 different sizes (one big and another small), where the students may have to
1) fill up one of the containers
2) pour some or all of the contents into in this container into the other container
3) empty one of the containers
4) the amount left in one of containers must be the targeted amount stated in the puzzle
Instructions to play:
1) Click on the “Fill” button to fill up the respective container
2) Click on the “Empty” button to empty the respective container
3) Click on the “Left Pointing Arrow” to fill the fluid from the small container to the bigger container
4) Click on the “Right Pointing Arrow” to fill the fluid from the big container to the smaller container
5) Click on the “New Problem” button to work on a new puzzle.
6) Click on the “Challenge” button to try out puzzles that are unable to solve
This puzzle would not only enhance the students’ skills on understanding and solving word problems but also their thinking skills. It is suitable for students, in the lower secondary, who have learnt about volumes and capacities. This puzzle can be used as additional activity for students who have completed their normal class activity. Upon completing the puzzle, it is best to encourage the students to discuss with the class on the steps they have taken to solve them, and also to discuss the reasons for some puzzles are unable to solve. For those students who did not try out the puzzle due to time constraint, teachers should encourage them to try out the puzzle at home or during another lesson, after completing their normal class activity.
Note (for teachers) : Need to explain to their students
1) that the units of measure used is ounce, which is an imperial unit
2) the difference between imperial unit and SI Unit (International System of Units)
3) the equivalent amount of 1 ounce to the SI Unit, for example, 1 ounce is equivalent to 28.35 grams
Leong: Excellent writeup on the virtual manipulative for capacity. Need more work on the research framework in your blog.
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
Leong’s comments: 1. Excellent effort on the development of your research. 2. Where is the url of the website of your virtual manipulative and suggested description of its use?
This is a small part of my dissertation that I have chosen for my masters program.The topic is on ‘Streaming and Non-streaming Students on the topic : Trigonometry’ which appears for Pure Mathematics Paper 1 and Pure Mathematics Paper 3.Each question from individual papers are worth about 6-8 marks out of 75.
Also take note of the various activities which I have included in my website.
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
Sir, just to add in the purpose of virtual manipulative I chose on Geometry (Angles and Degrees).I found this activity on the types and measurement of angles as not only fun and creative but a good exercise especially for upper primary pupils.
Teachers can also use this as part of their lesson either during introduction or as their reinforcement activity. It can be a tutorial lesson for pupils with different abilities or for those who’s absent from the class where they can just link to this website for them to try. Pupils can work in pairs doing this activity as they can help and discuss with each other.
It can be used as our assessment where teachers can analyze pupils’ work from the given exercise on this website. This activity also provides step by step explanation on the process of identifying angles and how to measure angles.
This provides opportunity to help pupils learn some of underlying areas of math modeling and computer simulation.
For more information on this, go to http://www.mathsisfun.com/geometry/degrees.html and http://www.mathsisfun.com/angles.html
sir i send it to you once again because i’m afraid yhat my url cannot link.
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
Trigonometry is often introduced in Form 3 with most textbooks traditionally starting with naming sides of right-angled triangles. These activities offer a different approach, aligning well with the significance dimension of the NSW Quality Teaching model. Students need to see and understand why their learning of trigonometry matters.
This is researches I have carried out for my assignment
[Leong: Which of the so many activities? Pick one and explain why and how the specific virtual manipulative material can be used to teach a particular concept.]
Dear Dr. Leong,
Before, I could choose any Virtual Manipulatives (VM) resources, It is crucial for me to understand what is actually VM. Through the e-journal of education web-site, I have chosen to dig out the:
-Definition of VM,
-Characteristics of VM,
-Roles of Vm (how to identify a good VM and how it can be used effectively in the classroom)
-Pessimistic Views (Conc) on Virtual Manipulatives.
These findings are supported by the information that are not available in the e-journal. I have problem when I tried to retrieved the sites from the url addresses given by the author (e-journal), some of the addresses do not direct us to the correct sites and some sites have been moved. Nevertheless, some sites could be located by searching through yahoo or google. My write-up, in titled “Virtual Manipulative in Primary School’ are available in my blog at the above address.
In align with my Med. project ‘Creative Mathematics Exploration (C-ME) in the teaching and learning of Mathematics in the Primary School, the blog that I created at the above url address are specially designed to enhance teachers’ and pupils’ quality in the teaching and learning of Primary Mathematics.
The VM that I choose and inserted in my blog are 3 interactive educational maths games (for Primary level). The games are on multipication only:
1) Timez Attack (url address is given for downloading only)
Timez Attack is fun and effective way to learn and practice pupils multiplication skills. Find your way through the dungeon maze and foil those who would get in your way. Pupils will develop their math skills while defeating a host of challenging obstacles and characters. It featured 3-D game experience, keeps your score and charts your progress. Master Timez Attack and master multiplication. Great for all ages and skill levels.
2) Math Model (url address given to play online).
This game may be used by teachers to support the primary pupils especially for enhancing pupils skills in Mental Computation. The girlish setting of the game is suitable for female pupils. The Maths Model Mix and match clothes to come up with pupils’favorite outfit. The more math problems they get right, the more clothes they have to choose from.
3) Monster Maths (url address given to play online).
If the Math Model is meant for girls, the Monster Math suits the boys. Pupils who answer the multiplication problems correctly, may earn more monster parts. When they have a good supply of body parts, they can build the monster of their choice.
Some of the rationals for choosing the 3 games are:
1) The chosen games matches the some of the suggestions from ‘Virtual Manipulatives in Primary School (found in my blog).
2) To match with the intented ains of the new SPN21 Primary Mathematics Curriculum in which the game could improve pupils Mental Computaiton skills
3) Since, I will do the selection of some outstanding year 03 and 04 pupils for my CME project (the main study), the game chosen will be used in my intervention.
Important Note:
Url references for my findings on VM and the games are not included here because they make take a lot of spaces.
Future Plan:
To add more virtual manipulatives games involving either division, addition and subtraction or VM using mix operations and other useful information in my blog and make my blog resourcessful to teachers, pupils and educators.
Last, but not the least, feel free to visit my blog..(MED Mathematics Group (2009) are also invited.
[Leong: Have a look at the others' specific virtual manipulatives, not games or usual activities. Also need to elaborate on your research proposal rationale with references, objectives and research questions.]
As Patricia Moyer, Johnna Bolyard, and Mark Spikell (2002) define a virtual manipulative as “an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge”.
In recent years, many websites have been developed and it depends on the users to make full use of it. Lots of them are very creative and beneficial for the students and teachers. In one of the educational websites, I am interested in the topic ANGLES from the Ambleweb with the title:
Patricia Moyer, Johnna Bolyard, and Mark Spikell (2002) define a virtual manipulative as “an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge”
Virtual manipulatives have a range of characteristics, such as pictorial images only, combined pictorial and numeric images, simulations, and concept tutorials, which include pictorial and numeric images with directions and feedback.
I have decided to use this website to use how the graphs are drawn. This graphs which is suitable to teaching Sixth Form students. They are as follows:
All these require, the user to put in the degrees in and u will find out the curve look like. This website are good for the students who are unsure of how the curves is like or how to find cosine rule
You are invited to visit the website and do try it out. Have fun.
Dr Leong, I am unable to upload the Euclidean files to Scribd.com. Howabouts can I share the files with you and the rest of the group? Please advise. Thanks
Dr Leong, one of the solutions that I have currently, is to save the Euclidean files into the Word document. However, I want to upload the actual Euclidean files, for you and the rest of the group to use it, hence, interact with the activity. Cheers
EuclideanReality, a free software which can be downloaded from http://membres.lycos.fr/animgallerie/euclide, is a dynamic geometry builder. It allows one to create exact figures regarding mathematics properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats (vectorial or bitmap).
The geometry topic that I want to discuss is a property of a circle, concentrating mainly on angle in the centre is twice angles at the circumference, subtended by the same arc.
I realise that this properties, when illustrated through software like EuclideanReality, will enable the students to realise the characteristics of the property better, when compared to the tradition chalk-and-talk. Using the correct function to mark the appropriate points on the circle indicating the arc and the point on the circumference, EuclideanReality will be able display the angles in the centre and at the circumference. Students will be able to see the change of the angles automatically by moving either one of the following:
1) The centre of the circle
2) The starting or ending points of the arc
3) The point on the circumference.
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
8) investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
EUCLIDEAN
Euclidean Reality is a dynamic geometry builder. Euclidean is a software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap.
LOGO PROGRAM LANGUAGE
Logo Program Language is based on the LOGO language developed by Seymour Papert. LOGO is used to introduce young children to problem solving through programming and to explore concepts in content areas such as mathematics, science and language arts (Gales, 1998; Gonsalves & Lopez, 1998; Weinstein, 1999)
The LOGO view of technology – that computer should be used as an aid to teach problem solving – began to replace traditional instructional computer uses (eg: drills and tutorials) as the “best use” of technology (M.D. Roblyer, 2006)
Have a try with these two instructional softwares. For more information on the activities using these softwares, go to http://jac0552.blogspot.com
Sir, again I forgot to type in the correct url for my website.. This is the correct one…..
EUCLIDEAN
Euclidean Reality is a dynamic geometry builder. Euclidean is a software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap.
LOGO PROGRAM LANGUAGE
Logo Program Language is based on the LOGO language developed by Seymour Papert. LOGO is used to introduce young children to problem solving through programming and to explore concepts in content areas such as mathematics, science and language arts (Gales, 1998; Gonsalves & Lopez, 1998; Weinstein, 1999)
The LOGO view of technology – that computer should be used as an aid to teach problem solving – began to replace traditional instructional computer uses (eg: drills and tutorials) as the “best use” of technology (M.D. Roblyer, 2006)
Have a try with these two instructional softwares. For more information on the activities using these softwares, go to http://jac0552.blogspot.com
Euclidean Reality is a dynamic geometry planner. Euclidean is software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. Children can perform any kind of configuration in Euclidean geometry. For more details on how to use the Euclidean reality software, please visit the website: http://membres.lycos.fr/animgallerie/euclide
Activity that I had chosen was to identify and name of the shapes that student had decided on. Besides that she had also to state the properties of the shapes like how many sides, angles and right angles in each figure. She must also find the length of the sides and the perimeter of the figure. Another activity was, she was asked to draw any pictures by using the Euclidean Reality Software. The details of this activity, you can visit the website: http://www.scribd.com/doc/12769341/Activities-in-Euclidean-Reality/
ACTIVITIES USING LOGO SOFTWARE IN MATHEMATICS CLASSROOM.
Logo is a programming language, oroginally developed by Seymour Papert around 1980, which is suitable for students of all ages, including primary students.
Seymour Papert (1980) described Logo as a tool which enables pupils to think. The benefits of using Logo with pupils are:
1) pupils can write programmes to produce geometric patterns which can be visually pleasing and satisfying;
2) writing programmes using Logo requires pupils to communicate mathematics to the turtle;
3) helps pupils to experience useful problem-solving strategies;
4) Logo gives pupils opportunities for carrying out open-ended investigation.
This is my first attempt to explore the PC Logo, it was quite tough at first. I did a lot of trial-and-error. The web done by Fina was very helpful. Nevertheless, once I am familiar with it, I learn more about the command. The continuous command such as REPEAT 360 [FD 1 RT 1] for drawing circle may be useful for certain purposes, however, for primary school pupils, especially the lower primary, the one key command may be useful as pupils can witness the movement of the turtle step-by-step.
I also realized that PC Logo is not only meant for Geometry but can be integrated with other topic such as time.
In my blog, I have done 5 lesson plans on how teachers could use PC Logo to develop Mathematical thinking.
1) POLYGONS MANIPULATIONS (for Year 4 – 6)
2) TURTLE MAZE CHALLENGE (for Year 4 – 6)
3) WHAT SHAPE IS THE TURTLE DRAWING? (YEAR 1)
4) TURTLE STORY: ‘Turtle Run’ (Year 6)
5) SHOW THE TIME(Year 6)
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
Logo is a unique piece of software. In the purest sense, Logo is a programming language; it is a full-featured computer language derived from LISP, the language of artificial intelligence. More important, however, Logo is a language for learning. It is the right toll to teach the process of learning and thinking. Logo provides an environment where students assume the role of teacher. As a teacher, they must:• Understand the knowledge to be taught• Plan an approach to impart this knowledge• Break the knowledge into small, understandable chunks• Know how to clearly communicate the knowledge• Established this new knowledge as a foundation for future learning• Be aware of and build on knowledge that the learner has• Be receptive to exploring new ideas as they appear• Respond to the learner’s (computer’s) misunderstandings and errorsStudents do this in logo by:• Experimenting with logo commands to understand them and be confident in their use• Planning their task and organise it into various components• Writing a set of instruction to perform each small task• Constructing a program to perform all the tasks in the right order• Evaluating their program to assess whether the tasks is performed correctly.• Debugging their program by locating and correctly errors or restricting their approachLogo is not limited to any particular topic or area. However, it is most useful for exploring mathematics, as Logo’s turtle graphics provides a natural mathematical environment. Since turtle moves in distances and turn in degrees, studying geometry by constructing and investigating polygons and figures makes Logo a powerful learning tools. Logo by nature:Friendly Logo is easily grasped; we can relate to the turtle and use it as an object to think with.Extensible Logo can be taught new commands and other commands can be built thereon.Forgiving Logo offers immediate feedback through helpful and informative messages.Flexible Logo is useful with preschoolers as it is with students of higher mathematics.Powerful Logo is a programming language, providing all the tools needed to create programs of any degree of sophistication.So although Logo is a programming language, it is better thought of as a language for learning; a language that encourages students to explore, to learn, and to think.For more information, kindly click the website: http://www.scribd.com/doc/13236735/PC-Logo-Assignment
There was a misunderstanding of website on 17 Feb 2009. I typed in a wrong website. Hope u understand. It’s not a mixed up files. It still the same except a clear website. Thks
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate are the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the characteristics of the properties better.
Euclidean Reality is a software used to design geometric figures. With this software the children can create figures and investigate their mathematical properties such as angles and lengths through freely manipulating the figures and export them in several formats, vectorial or bitmap. In simple terms, children can perform any kind of configuration using Euclidean geometry.
LOGO PROGRAMMING
LOGO is a programming language which is often considered to be a philosophy of education as well – discovery learning or constructivism. It is an ideal tool for learning by doing.
The most popular Logo environments have involved the Turtle, originally a robotic creature that sat on the floor and could be directed to move around by typing commands at the computer. Soon the Turtle migrated to the computer graphics screen where it is used to draw shapes, designs, and pictures.
To get more information about the activities that I have done with these two software, please feel free to visit my blog at : http://miaqaisara.wordpress.com
37 comments
Comments feed for this article
February 1, 2009 at 10:34 am
shbieict
Previous UBD MEd Math Ed Research:
(2005 & 2006)
http://www.e-journalofeducation.com/main/MEd_websites.htm
February 1, 2009 at 10:37 am
shbieict
MEd Math Ed candidates (2008)
http://www.e-journalofeducation.com/main/math.html
February 1, 2009 at 10:42 am
shbieict
Please state the url of your blog here (in your comments). Also describe how you can use your selected virtual manipulative in your comments. Give the url of where the virtual manipulative is found. (Dr Leong)
February 2, 2009 at 3:41 am
Jacqueline08M0552
Sir, this is the correct one … the virtual manipulatives I’m interested in is on Maths is Fun in Geometry.
An interesting and creative activity can be found here and suitable for upper primary children. They also provide step by step explanation and procedure on how to identify and measure angles. A good enrichment and remedial exercise for pupils.
If you want to know more about this, feel free to link to http://www.mathsisfun.com
Leong’s comments: The website ‘mathsisfun’ has lots of activities. You need to explain more clearly which particular activity you are using, the purpose and how you are going to use it. Good effort for the research framework and reference on ‘drill and practice’.
February 2, 2009 at 1:27 pm
Loretta (08M0555)
Loretta’s Blog : http://svwasan.wordpress.com
The virtual manipulative that I came upon during tutorial today is Fill and Pour from National Library of Virtual Manipulatives at http://nlvm.usu.edu/en/nav/frames_asid_273_g_3_t_4.html. It is about measurements of volumes and capacities, whereby the students will be asked to solve puzzles that require them to fill and pour containers.
This puzzle involves two unmarked containers of 2 different sizes (one big and another small), where the students may have to
1) fill up one of the containers
2) pour some or all of the contents into in this container into the other container
3) empty one of the containers
4) the amount left in one of containers must be the targeted amount stated in the puzzle
Instructions to play:
1) Click on the “Fill” button to fill up the respective container
2) Click on the “Empty” button to empty the respective container
3) Click on the “Left Pointing Arrow” to fill the fluid from the small container to the bigger container
4) Click on the “Right Pointing Arrow” to fill the fluid from the big container to the smaller container
5) Click on the “New Problem” button to work on a new puzzle.
6) Click on the “Challenge” button to try out puzzles that are unable to solve
This puzzle would not only enhance the students’ skills on understanding and solving word problems but also their thinking skills. It is suitable for students, in the lower secondary, who have learnt about volumes and capacities. This puzzle can be used as additional activity for students who have completed their normal class activity. Upon completing the puzzle, it is best to encourage the students to discuss with the class on the steps they have taken to solve them, and also to discuss the reasons for some puzzles are unable to solve. For those students who did not try out the puzzle due to time constraint, teachers should encourage them to try out the puzzle at home or during another lesson, after completing their normal class activity.
Note (for teachers) : Need to explain to their students
1) that the units of measure used is ounce, which is an imperial unit
2) the difference between imperial unit and SI Unit (International System of Units)
3) the equivalent amount of 1 ounce to the SI Unit, for example, 1 ounce is equivalent to 28.35 grams
Leong: Excellent writeup on the virtual manipulative for capacity. Need more work on the research framework in your blog.
February 3, 2009 at 1:37 am
Rozaimah Wahid
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
For further information go to website:
http://didiwahid.blogspot.com/
http://www.fed.cuhk.edu.hk/~fllee/mathfor/edumath/9706/13hedden.html
Leong’s comments: 1. Excellent effort on the development of your research. 2. Where is the url of the website of your virtual manipulative and suggested description of its use?
February 3, 2009 at 3:17 pm
Rozaimah Wahid 08M0556
Hye again sir,here is the url:http://www.primaryresources.co.uk/maths/mathsD2.htm
February 4, 2009 at 10:15 am
stephenchan
This is a small part of my dissertation that I have chosen for my masters program.The topic is on ‘Streaming and Non-streaming Students on the topic : Trigonometry’ which appears for Pure Mathematics Paper 1 and Pure Mathematics Paper 3.Each question from individual papers are worth about 6-8 marks out of 75.
Also take note of the various activities which I have included in my website.
For further information,please visit the website:
http://stephenchan.wordpress.com/
February 4, 2009 at 1:36 pm
Rozaimah Wahid 08M0556
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
For further information go to website:
url:http://www.primaryresources.co.uk/maths/mathsD2.htm
February 4, 2009 at 2:59 pm
Jacqueline08M0552
Sir, just to add in the purpose of virtual manipulative I chose on Geometry (Angles and Degrees).I found this activity on the types and measurement of angles as not only fun and creative but a good exercise especially for upper primary pupils.
Teachers can also use this as part of their lesson either during introduction or as their reinforcement activity. It can be a tutorial lesson for pupils with different abilities or for those who’s absent from the class where they can just link to this website for them to try. Pupils can work in pairs doing this activity as they can help and discuss with each other.
It can be used as our assessment where teachers can analyze pupils’ work from the given exercise on this website. This activity also provides step by step explanation on the process of identifying angles and how to measure angles.
This provides opportunity to help pupils learn some of underlying areas of math modeling and computer simulation.
For more information on this, go to http://www.mathsisfun.com/geometry/degrees.html and
http://www.mathsisfun.com/angles.html
February 5, 2009 at 1:27 am
Rozaimah Wahid 08M0556
sir i send it to you once again because i’m afraid yhat my url cannot link.
One virtual manipulative that I’m interested in is ‘Method of Teaching Mathematics’. The topic that I chose is dealing with ‘Money’. I have made a lesson plan on how to conduct the lesson. It is suitable for Primary 5 students and it involves for the whole class. The class will be divided into 5 groups and each group will consists of 5 members. Make sure that the students are heterogeneous groups (mixed abilities). The purpose of this study is to make sure that the students will be able to work with their partners, helping each other to make up their own word problems, working cooperatively and contributing positively in-group learning activities.
For further information go to website:
http://www.primaryresources.co.uk/maths/mathsD2.htm
February 5, 2009 at 6:25 am
stephenchan
Trigonometry is often introduced in Form 3 with most textbooks traditionally starting with naming sides of right-angled triangles. These activities offer a different approach, aligning well with the significance dimension of the NSW Quality Teaching model. Students need to see and understand why their learning of trigonometry matters.
This is researches I have carried out for my assignment
Please refer to this website:
http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/years7_10/teaching/trig.htm
[Leong: Which of the so many activities? Pick one and explain why and how the specific virtual manipulative material can be used to teach a particular concept.]
February 5, 2009 at 10:51 am
Satinah08M0554
Satinah’s Blog: http://vigilantwits-sha.blogspot.com
Theme: Enhancing Teachers’ and Pupils’ Quality.
Dear Dr. Leong,
Before, I could choose any Virtual Manipulatives (VM) resources, It is crucial for me to understand what is actually VM. Through the e-journal of education web-site, I have chosen to dig out the:
-Definition of VM,
-Characteristics of VM,
-Roles of Vm (how to identify a good VM and how it can be used effectively in the classroom)
-Pessimistic Views (Conc) on Virtual Manipulatives.
These findings are supported by the information that are not available in the e-journal. I have problem when I tried to retrieved the sites from the url addresses given by the author (e-journal), some of the addresses do not direct us to the correct sites and some sites have been moved. Nevertheless, some sites could be located by searching through yahoo or google. My write-up, in titled “Virtual Manipulative in Primary School’ are available in my blog at the above address.
In align with my Med. project ‘Creative Mathematics Exploration (C-ME) in the teaching and learning of Mathematics in the Primary School, the blog that I created at the above url address are specially designed to enhance teachers’ and pupils’ quality in the teaching and learning of Primary Mathematics.
The VM that I choose and inserted in my blog are 3 interactive educational maths games (for Primary level). The games are on multipication only:
1) Timez Attack (url address is given for downloading only)
Timez Attack is fun and effective way to learn and practice pupils multiplication skills. Find your way through the dungeon maze and foil those who would get in your way. Pupils will develop their math skills while defeating a host of challenging obstacles and characters. It featured 3-D game experience, keeps your score and charts your progress. Master Timez Attack and master multiplication. Great for all ages and skill levels.
2) Math Model (url address given to play online).
This game may be used by teachers to support the primary pupils especially for enhancing pupils skills in Mental Computation. The girlish setting of the game is suitable for female pupils. The Maths Model Mix and match clothes to come up with pupils’favorite outfit. The more math problems they get right, the more clothes they have to choose from.
3) Monster Maths (url address given to play online).
If the Math Model is meant for girls, the Monster Math suits the boys. Pupils who answer the multiplication problems correctly, may earn more monster parts. When they have a good supply of body parts, they can build the monster of their choice.
Some of the rationals for choosing the 3 games are:
1) The chosen games matches the some of the suggestions from ‘Virtual Manipulatives in Primary School (found in my blog).
2) To match with the intented ains of the new SPN21 Primary Mathematics Curriculum in which the game could improve pupils Mental Computaiton skills
3) Since, I will do the selection of some outstanding year 03 and 04 pupils for my CME project (the main study), the game chosen will be used in my intervention.
Important Note:
Url references for my findings on VM and the games are not included here because they make take a lot of spaces.
Future Plan:
To add more virtual manipulatives games involving either division, addition and subtraction or VM using mix operations and other useful information in my blog and make my blog resourcessful to teachers, pupils and educators.
Last, but not the least, feel free to visit my blog..(MED Mathematics Group (2009) are also invited.
[Leong: Have a look at the others' specific virtual manipulatives, not games or usual activities. Also need to elaborate on your research proposal rationale with references, objectives and research questions.]
February 5, 2009 at 2:50 pm
Linda Rais (08M0553)
Linda’s Blog: http://miaqaisara.wordpress.com/
What is ‘Virtual Manipulatives’?
As Patricia Moyer, Johnna Bolyard, and Mark Spikell (2002) define a virtual manipulative as “an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge”.
In recent years, many websites have been developed and it depends on the users to make full use of it. Lots of them are very creative and beneficial for the students and teachers. In one of the educational websites, I am interested in the topic ANGLES from the Ambleweb with the title:
# “What’s My Angle” ( This website is useful for teaching angles) http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
# “Angle Activities” http://www.amblesideprimary.com/ambleweb/mentalmaths/angleshapes.html which is an ideal activities for the upper primary students and the secondary students. This is a good enrichment exercises for the students and a good teaching resources for the teachers.
Please visit the website and have a try…..Have Fun….=)
[Leong: Excellent effort on both the research writeup and virtual manipulative.]
February 6, 2009 at 3:30 pm
stephenchan
Th Definition Of Virtual Manipulative
Patricia Moyer, Johnna Bolyard, and Mark Spikell (2002) define a virtual manipulative as “an interactive, Web-based visual representation of a dynamic object that presents opportunities for constructing mathematical knowledge”
Virtual manipulatives have a range of characteristics, such as pictorial images only, combined pictorial and numeric images, simulations, and concept tutorials, which include pictorial and numeric images with directions and feedback.
I have decided to use this website to use how the graphs are drawn. This graphs which is suitable to teaching Sixth Form students. They are as follows:
(1)cosine’s law
http://www.ies.co.jp/math/products/trig/applets/yogen_auto/yogen_auto.html
(2) y=cosine x
http://www.ies.co.jp/math/products/trig/applets/graphCosX/graphCosX.html
(3) y=sin ax
http://www.ies.co.jp/math/products/trig/applets/graphSinAX/graphSinAX.html
(4) y=a sin b(x-c)
http://www.ies.co.jp/math/products/trig/applets/ABCsinX/ABCsinX.html
All these require, the user to put in the degrees in and u will find out the curve look like. This website are good for the students who are unsure of how the curves is like or how to find cosine rule
You are invited to visit the website and do try it out. Have fun.
February 7, 2009 at 2:26 pm
shbieict
Good examples to try with your students when you have the opportunity.
February 9, 2009 at 3:26 am
Leong
Week 5: Explore Euclidean and suggest activities that students can do to explore and learn a geometry topic.
Week 6: Explore LOGO programming and suggest how students can use it to develop their mathematical thinking.
February 11, 2009 at 10:15 am
Loretta (08m0555)
Dr Leong, I am unable to upload the Euclidean files to Scribd.com. Howabouts can I share the files with you and the rest of the group? Please advise. Thanks
February 11, 2009 at 11:15 am
leong
How can we solve this problem? Anyone? Bonus marks for the first good suggestion that works.
February 12, 2009 at 2:16 am
Loretta (08m0555)
Dr Leong, one of the solutions that I have currently, is to save the Euclidean files into the Word document. However, I want to upload the actual Euclidean files, for you and the rest of the group to use it, hence, interact with the activity. Cheers
February 13, 2009 at 12:36 pm
Loretta (08m0555)
EuclideanReality, a free software which can be downloaded from http://membres.lycos.fr/animgallerie/euclide, is a dynamic geometry builder. It allows one to create exact figures regarding mathematics properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats (vectorial or bitmap).
The geometry topic that I want to discuss is a property of a circle, concentrating mainly on angle in the centre is twice angles at the circumference, subtended by the same arc.
I realise that this properties, when illustrated through software like EuclideanReality, will enable the students to realise the characteristics of the property better, when compared to the tradition chalk-and-talk. Using the correct function to mark the appropriate points on the circle indicating the arc and the point on the circumference, EuclideanReality will be able display the angles in the centre and at the circumference. Students will be able to see the change of the angles automatically by moving either one of the following:
1) The centre of the circle
2) The starting or ending points of the arc
3) The point on the circumference.
For further information, refer to http://svwasan.wordpress.com/pm5402/
February 13, 2009 at 1:23 pm
shbieict
Excellent idea, Loretta.
February 15, 2009 at 10:42 am
shbieict
LOGO Programming reminder: Why logo programming? What kinds of activities are recommended by the developers of the language, MIT?
February 16, 2009 at 9:58 am
stephenchan
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
8) investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
For further information, pls refer to http://stephenchan.wordpress.com/wp-admin/
February 17, 2009 at 2:56 pm
shbieict
Stephen, need to check this link of yours.
For further information, pls refer to http://stephenchan.wordpress.com/wp-admin/
February 18, 2009 at 11:43 pm
stephenchan
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
For further information, pls refer to http://stephenchan.wordpress.com
February 27, 2009 at 2:37 am
Jacqueline 08M0552
EUCLIDEAN
Euclidean Reality is a dynamic geometry builder. Euclidean is a software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap.
LOGO PROGRAM LANGUAGE
Logo Program Language is based on the LOGO language developed by Seymour Papert. LOGO is used to introduce young children to problem solving through programming and to explore concepts in content areas such as mathematics, science and language arts (Gales, 1998; Gonsalves & Lopez, 1998; Weinstein, 1999)
The LOGO view of technology – that computer should be used as an aid to teach problem solving – began to replace traditional instructional computer uses (eg: drills and tutorials) as the “best use” of technology (M.D. Roblyer, 2006)
Have a try with these two instructional softwares. For more information on the activities using these softwares, go to
http://jac0552.blogspot.com
February 27, 2009 at 2:47 am
Jacqueline 08M0552
Sir, again I forgot to type in the correct url for my website.. This is the correct one…..
EUCLIDEAN
Euclidean Reality is a dynamic geometry builder. Euclidean is a software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap.
LOGO PROGRAM LANGUAGE
Logo Program Language is based on the LOGO language developed by Seymour Papert. LOGO is used to introduce young children to problem solving through programming and to explore concepts in content areas such as mathematics, science and language arts (Gales, 1998; Gonsalves & Lopez, 1998; Weinstein, 1999)
The LOGO view of technology – that computer should be used as an aid to teach problem solving – began to replace traditional instructional computer uses (eg: drills and tutorials) as the “best use” of technology (M.D. Roblyer, 2006)
Have a try with these two instructional softwares. For more information on the activities using these softwares, go to
http://jac0552.blogspot.com
Leong: Interesting drawings, try logo procedures.
February 27, 2009 at 4:56 pm
Rozaimah Wahid 08M0556
WHAT IS EUCLIDEAN REALITY SOFTWARE?
Euclidean Reality is a dynamic geometry planner. Euclidean is software to design geometric figures. With Euclidean Reality, children can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. Children can perform any kind of configuration in Euclidean geometry. For more details on how to use the Euclidean reality software, please visit the website: http://membres.lycos.fr/animgallerie/euclide
Activity that I had chosen was to identify and name of the shapes that student had decided on. Besides that she had also to state the properties of the shapes like how many sides, angles and right angles in each figure. She must also find the length of the sides and the perimeter of the figure. Another activity was, she was asked to draw any pictures by using the Euclidean Reality Software. The details of this activity, you can visit the website: http://www.scribd.com/doc/12769341/Activities-in-Euclidean-Reality/
Leong: Interesting drawings.
March 10, 2009 at 1:05 am
Rozaimah Wahid 08M0556
ACTIVITIES USING LOGO SOFTWARE IN MATHEMATICS CLASSROOM.
Logo is a programming language, oroginally developed by Seymour Papert around 1980, which is suitable for students of all ages, including primary students.
Seymour Papert (1980) described Logo as a tool which enables pupils to think. The benefits of using Logo with pupils are:
1) pupils can write programmes to produce geometric patterns which can be visually pleasing and satisfying;
2) writing programmes using Logo requires pupils to communicate mathematics to the turtle;
3) helps pupils to experience useful problem-solving strategies;
4) Logo gives pupils opportunities for carrying out open-ended investigation.
There are some activities that I have carried out with one of my student. For more details, please feel free to visit url:
http://www.scribd.com/doc/13049892/Activities-using-Logo-Software-in-the-Mathematics-Classroom
Leong: For heptagon, could try rt 51.4
March 12, 2009 at 6:50 am
Satinah08M0554
This is my first attempt to explore the PC Logo, it was quite tough at first. I did a lot of trial-and-error. The web done by Fina was very helpful. Nevertheless, once I am familiar with it, I learn more about the command. The continuous command such as REPEAT 360 [FD 1 RT 1] for drawing circle may be useful for certain purposes, however, for primary school pupils, especially the lower primary, the one key command may be useful as pupils can witness the movement of the turtle step-by-step.
I also realized that PC Logo is not only meant for Geometry but can be integrated with other topic such as time.
In my blog, I have done 5 lesson plans on how teachers could use PC Logo to develop Mathematical thinking.
1) POLYGONS MANIPULATIONS (for Year 4 – 6)
2) TURTLE MAZE CHALLENGE (for Year 4 – 6)
3) WHAT SHAPE IS THE TURTLE DRAWING? (YEAR 1)
4) TURTLE STORY: ‘Turtle Run’ (Year 6)
5) SHOW THE TIME(Year 6)
Please visit my blog at: http://vigilantwits-sha.blogspot.com
Leong: Very creative use of technology
March 13, 2009 at 7:43 am
stephenchan
THE USEFULNESS OF EUCLIDEAN SOFTWARE TO CALCULATE THE ANGLES OF PROPERTIES OF POLYGON
For any good instruction, teachers must adapt different materials to students’ needs. This implied to software as well. Students, nowadays, have different abilities, interests and preferences that warrant different teaching consideration and strategies. Therefore, teachers must decide how to use any software according to the children’s needs. According to V. Sharp (1996:152) choosing good software is an eight steps process:
1) know the specific software needs of your population,
2) locate the software,
3) research hardware compatibility,
4) examine the program’s contents
5) look at the instructional design
6) check out how easy the program is to learn
7) evaluate the program in terms of consumer value
investigate the technical support and cost.
There are varieties of mathematical software available in the markets. Euclidean Reality software is one of them.
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate is the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the other characteristics of the properties of a circle as well.
Diagrams on the propeties of a circles are drawn with angles.
For further information, click onto http://www.scribd.com/doc/12323384/Properties-of-Circles-Using Euclidean
Leong: ??? mixed-up file???
March 13, 2009 at 9:28 am
stephenchan
Logo is a unique piece of software. In the purest sense, Logo is a programming language; it is a full-featured computer language derived from LISP, the language of artificial intelligence. More important, however, Logo is a language for learning. It is the right toll to teach the process of learning and thinking. Logo provides an environment where students assume the role of teacher. As a teacher, they must:• Understand the knowledge to be taught• Plan an approach to impart this knowledge• Break the knowledge into small, understandable chunks• Know how to clearly communicate the knowledge• Established this new knowledge as a foundation for future learning• Be aware of and build on knowledge that the learner has• Be receptive to exploring new ideas as they appear• Respond to the learner’s (computer’s) misunderstandings and errorsStudents do this in logo by:• Experimenting with logo commands to understand them and be confident in their use• Planning their task and organise it into various components• Writing a set of instruction to perform each small task• Constructing a program to perform all the tasks in the right order• Evaluating their program to assess whether the tasks is performed correctly.• Debugging their program by locating and correctly errors or restricting their approachLogo is not limited to any particular topic or area. However, it is most useful for exploring mathematics, as Logo’s turtle graphics provides a natural mathematical environment. Since turtle moves in distances and turn in degrees, studying geometry by constructing and investigating polygons and figures makes Logo a powerful learning tools. Logo by nature:Friendly Logo is easily grasped; we can relate to the turtle and use it as an object to think with.Extensible Logo can be taught new commands and other commands can be built thereon.Forgiving Logo offers immediate feedback through helpful and informative messages.Flexible Logo is useful with preschoolers as it is with students of higher mathematics.Powerful Logo is a programming language, providing all the tools needed to create programs of any degree of sophistication.So although Logo is a programming language, it is better thought of as a language for learning; a language that encourages students to explore, to learn, and to think.For more information, kindly click the website: http://www.scribd.com/doc/13236735/PC-Logo-Assignment
Leong: Excellent effort
March 13, 2009 at 8:12 pm
StephenChan08M0551
There was a misunderstanding of website on 17 Feb 2009. I typed in a wrong website. Hope u understand. It’s not a mixed up files. It still the same except a clear website. Thks
March 14, 2009 at 4:11 am
stephenchan
Euclidian Reality is a dynamic geometry builder. With Euclidian Reality you can create exact figures regarding their mathematical properties, distort them freely, check properties such as angles and lengths, print figures and export them in several formats, vectorial or bitmap. You can perform any kind of configuration in Euclidian geometry. It is free software which can be downloaded from the website http://membres.lycos.fr/animgallerie/euclide .
The topic that I would like to illustrate are the properties of circles. I have drawn three separate diagrams using this software. This will help the students to measure the angles more accurately rather than using protractor. Beside that, we will know the characteristics of the properties better.
Just click the topic EuclideanReality and the website will work. The website is http://www.scribd.com/doc/13258056/Euclidean-Reality
March 14, 2009 at 1:49 pm
Linda Rais
EUCLIDEAN REALITY SOFTWARE
Euclidean Reality is a software used to design geometric figures. With this software the children can create figures and investigate their mathematical properties such as angles and lengths through freely manipulating the figures and export them in several formats, vectorial or bitmap. In simple terms, children can perform any kind of configuration using Euclidean geometry.
LOGO PROGRAMMING
LOGO is a programming language which is often considered to be a philosophy of education as well – discovery learning or constructivism. It is an ideal tool for learning by doing.
The most popular Logo environments have involved the Turtle, originally a robotic creature that sat on the floor and could be directed to move around by typing commands at the computer. Soon the Turtle migrated to the computer graphics screen where it is used to draw shapes, designs, and pictures.
To get more information about the activities that I have done with these two software, please feel free to visit my blog at : http://miaqaisara.wordpress.com
March 14, 2009 at 2:37 pm
Jacqueline 08M0552
LOGO PROGRAM LANGUAGE AND EUCLIDEAN REALITY SOFTWARE
Have a try with these two instructional softwares. For more information on the activities using these softwares, go to
http://jac0552.blogspot.com