EDUC4105

March 26th, 2008

Webquest critique

Posted by hayds in Uncategorized



The following is the opinions of a small group of university students on a webquest activity. We are all viewing the contents as beginning Mathematics Teachers.

Here is a link to the Chess activity.

Strengths

  • Task has good Knowledge Integration with history (cold war)
  • Uses research as a teaching strategy
  • Relevant links are included for students to read more about different aspects of the task
  • Plenty of technology incorporated with links to films and opportunities for students to create part of web pages
  • Students have the chance to play chess with one another

Weaknesses

  • Irrelevant to maths syllabus
  • Research is only of interest to chess fans and requires a degree of background knowledge of chess
  • Task 4 is more suited for D&T where design and ease of use is important
  • Seems to be a trivial activity aiming at chess promotion
  • Outcome is not mathematical and does not require higher-order thinking (more a structured writing task)
  • No meaningful motivation for students
  • Purely individual work – lost opportunity for collaboration

For anyone interested in learning chess from a grandmaster, here is a blog on the games of Karjakin Sergey.

March 6th, 2008

Lockhart’s Lament

Posted by hayds in Uncategorized



I found this article on the Mathematical Association of America (MAA) website. It was the most emotionally involved that I have ever been when reading anything at university. I recommend that every Mathematics educator, let alone us enrolled in the EDUC4150 course reads this article. Please feel free to post any thoughts as comment.

The article is written by Paul Lockhart who is a mathematics teacher in New York.

Lockhart’s Lament

March 3rd, 2008

On Graphics Calculators

Posted by hayds in Uncategorized



Graphics calculators are a great mathematical tool for students to use when graphing equations or a table of values. It would be great for students to have access to these calculators if they were curious about what a certain equation looked like on the cartesian plane. Also instead of drawing a diagram to get an understanding of a problem, students using the graphics calculators could type in the equation to be drawn and instantly have a correct visual aid. Drawing a line of best fit for a set of data can be a difficult skill, but using the graphics calculators last week it was a lot quicker and easier using this technology.
The only problem I can see with students having access to these calculators is that the letters of the alphabet are on the keys, so students can write messages on the screen to one another and become easily distracted. Maybe I shouldn’t judge all students by my own standard of behaviour.

I have a feeling that any classroom lesson using graphics calculators needs to be planned so that student are always doing something and there is no time for students to become distracted.

February 20th, 2008

A personal view on teaching and learning mathematics with technology

Posted by hayds in Uncategorized



I believe that technology should be used as a means to an end and not an end in itself. That is, technology can be a very useful mathematical tool, however it should not just to be used for interest sake or because we can. Any use of technology in classrooms should always have a clear purpose.

I believe it is very good for secondary mathematics students to be able to use and access technology, such as graphics calculators, to gain a better understanding of concepts by using ideas in a different context. I see a lot of benefit for students to play around with the technology and explore ideas for themselves. This is especially useful for the majority of students who are familiar with using computers.

The main benefit of teaching and learning mathematics with technology is that students gain deeper understanding since the concepts are presented from multiple perspectives. The ideas in a topic are not restricted to paper, but can be manipulated and applied in a new context using technology. Teachers are also able to present and demonstrate content in new and interesting ways. Through using technology, students also gain graphing and computational aids for their mathematical toolbox that allows focus on concepts, avoiding any lengthy working out.

It is important to remember that it is the mathematical ideas that are important, not the use of technology itself. Technology should not be used if it is not needed. If we can do the same thing with pen and paper, then why not do it that way? For lessons which incorporate technology, the use of technology should have a clear focus and student activities should be carefully planned. All activities should have the students actually doing something with a view to understand a concept, rather than simply seeing what we can do with the technology. Activities should also take into account different student abilities, so that advanced students can keep exploring ideas, while slower students could input all required data.

A major disadvantage of using technology is that students may not see it as important if it is not part of assessment. Teachers and students must have the focus of using technology to enhance understanding of the assessable content and that it is worthwhile. Alternatively, the use of technology could be included as part of assessment.

There are practical and equity issues involved with teaching and learning mathematics through the use of technology. Schools may only have limited computers for student use, or classes might only be able to use computers at school at certain times. The equity disadvantage is obvious where there might be some students who do not have access to a computer or relevant technology at home, or are unfamiliar with their use compared to other students.

I personally think that technology should be incorporated in teaching and learning secondary mathematics, as long as the technology is used appropriately.

(more…)

February 20th, 2008

Hello world!

Posted by hayds in Uncategorized



…hear the song that I’m singin’…