StudentShare solutions
Triangle menu

Teaching of Advanced Mathematics - Essay Example

Not dowloaded yet

Extract of sample
Teaching of Advanced Mathematics

But before that, we must delve further into the importance of the questioning mechanism, thus I shall bring out opinions presented by established mathematicians in relation to this study, as applied to classroom teaching of Mathematics. Ainley, J. as mentioned above, interprets her findings about questioning techniques, on the premise that, when, applied to classroom study, everytime the teacher asks a question, it merely implies her underlying desire in testing the student's learning outcome. Therefore, a teacher's questioning style is described as "guess what is in my mind" tactics. Some of the frequent techniques of mathematical questioning range from using open questions, not commenting on answers but waiting for more, bringing in other people, collecting a range of responses on the board, seeking agreement, alternatives and dissent, using or not using "hands-up", using names to generate particular response, remaining silent until something else is said, and eventually all efforts culminating towards a successful learning outcome.

Jim Smith, in his article "Questioning Questioning" (1986) in the same study as Ainley, advises to maintain a balance between saying too much so that things become repetitive, to saying nothing at all. Suggesting that students be encouraged to talk enthusiastically about how they have helped other students, be allowed to interrupt teachers with relevant questions, and thereby, enable them to take part in the scheme by Skemp called "relational" learning (1976 & 1993), which is a flexible methodology that imparts in the student, a genuine interest in the deeper aspects of learning Mathematics, not only through methods and formulae but also by developing in them the much-needed grasping power to form powerful connections, interpretations, eliminate unnecessary fear of complex figures and symbols (such as surds, integrands, graphs, tables, etc.) and a chain of unbroken knowledge to further advance their learning capabilities.

Both mathematicians have affirmed the potent power of "testing" methodologies over simple "seeking" questions. As discussed in relevant examples above, upon our own close introspection, we can find that several of these questioning techniques are already followed by us in enhancing day-to-day learning activities whatever be the subject of study. In the course lesson example mentioned in this paper, I have designed my scheme to accommodate this very school of thought.

In an effort to understand the constructive ideas behind methods of questioning, we have at our disposal, a ...Show more

Summary

In her informative assessment of pedagogical issues, "Telling Questions: A response to Jim Smith, Mathematics Teaching" (1987), Ainley, J. reasons the profound impact questioning techniques generate, upon the teaching of a subject like Mathematics, indicating thus, that for an observer (read student), this translates into a direct engagement with application of theories, methods and formulae, initiating lateral thinking, and making the whole learning process more enjoyable, interactive, and useful…
Author : bonnieondricka
Teaching of Advanced Mathematics essay example
Read Text Preview
Save Your Time for More Important Things
Let us write or edit the essay on your topic
"Teaching of Advanced Mathematics"
with a personal 20% discount.
Grab the best paper

Related Essays

Mathematics and National Curriculum
However, it is apparent when these things involve limits or infinite sets where, definitely, no straight experience can be existent with the inestimable itself. Mathematics, by nature is in cooperation an untainted and abstract escapade of the psyche and a practically implemented science.
13 pages (3250 words) Essay
Cognitive And Neuropsychological Models Of Mathematical Processing Have Advanced Our Knowledge Of How We Do Mathematics
Mathematics is a powerful and resourceful symbol game and the neural pathways to perform mathematical operations are found in all animals. Researchers found that math ability is a survival instinct and its neural architecture evolved earlier than language pathways and also independent of it.
2 pages (500 words) Essay
Teaching Methods Mathematics
But how children these children learn to do this At an early age of 3 to 4 years old are beginning to learn these counting principles. Even though children's are at this stage often makes error but they often detect another person's counting errors. In one to one correspondence principle a child were able to catch counting violations, when using blocks for counting and skipped one of the objects or counted one of the objects twice, most children said counting was wrong.
2 pages (500 words) Essay
Teaching Mathematics
Visual Learning. Everyone has a left brain and a right brain and we all use both sides. But most of us use one side more than the other, this is called hemispheric dominance. The left side of the brain processes linear information: science & analysis, language, reading, math & logic and writing (Sobanski, 2002, p.3).
2 pages (500 words) Essay
Mathematics Teaching
Teachers should be able to gauge themselves on effectiveness and engage in activities that aim at improving their work. This could be by involving their colleagues in discussions and talks on the areas that are of concern and use of observation on colleagues with good performances.
3 pages (750 words) Essay
Adolescent Student Attitudes Towards Mathematics
Mathematics is a wide subject which is all about using techniques, formulas and skills. This subject is not only the basis of all the new technologies found but can also be said as the founder of different subjects such as physics. This subject is widely acknowledged for its ability to make others learn rather than memorizing.
10 pages (2500 words) Essay
Adolescent Student Attitudes Towards Mathematics
Mathematics not only helps one individual in building his skills but also teaches one individual how to use them in his practical life. Keeping the importance of mathematics in mind this subject is compulsory in almost all sorts
14 pages (3500 words) Essay
Are there fundamental differences between western mathematics and tranditional chinese mathematics
The basic concept of mathematics is as old as humans themselves. Since the start of this world mathematical calculation ns are being used for different purposes. For instance, somewhere in 300 BC, Chinese used to do calculations using tortoise and rods. They did
10 pages (2500 words) Essay
A critical review of the role of ICT in the teaching of English and mathematics
Children’s entertainment industry has through the production of computer games influenced learning since they have facilitated the growth of educational websites.
12 pages (3000 words) Essay
PGCE Mathematics; Made to Measure
There are insurmountable variables in teaching, since even society has contributed that is often in the form of misconceptions or predetermined prejudices (Anghileri 2006: 45). One of the popular prejudices in education is that mathematics and
10 pages (2500 words) Essay
Get a custom paper written
by a pro under your requirements!
Win a special DISCOUNT!
Put in your e-mail and click the button with your lucky finger
Your email
YOUR PRIZE:
Apply my DISCOUNT
Comments (0)
Rate this paper:
Thank you! Your comment has been sent and will be posted after moderation