Monday, July 27, 2009

the psychological process of doing calculus and comprehending the process will be needed as a view for solving other life problems. Maybe calculus should be required of all disciplines to help them get into the mindframe that there are many unknowns and many variables in flux and moving and that we can react by thinking of the problem in a new way, derive another way of viewing the puzzle as is the case in manipulating variables in a math problem with more than one unknown variable and then systematically approach the problem for the motive of overcoming discouragement and despair, viewing our problems as challenges not PROBLEMS to get quickly through but embraced and enjoyed.
Change or movement or action itself becomes another type of variable to throw into the mix of interactions.

A great introduction to calculus (using familiar language apperception culturally relevant pedegogy: SWIMMING POOLS!)

Integrals appear in many practical situations. Consider a swimming pool. If it is rectangular, then from its length, width, and depth we can easily determine the volume of water it can contain (to fill it), the area of its surface (to cover it), and the length of its edge (to rope it). But if it is oval with a rounded bottom, all of these quantities call for integrals. Practical approximations may suffice for such trivial examples, but precision engineering (of any discipline) requires exact and rigorous values for these elements.

How many problems especially in social science are linear?

0, all problems or challenges for understanding questions are CURVED in every sense of the word. I see no stick figures walking around. I see a limitless variety of uniquely curved persons who each have curved personalities differientiated according to nature and nurture.

EVERY educational leader should understand the philosophy and psychology of calculus.

Minorities would naturally thrive on calculus if not for the "language" barrier and I'm not talking about Spanish or Filipino

The beauty of teaching calculus to minorities that are non-Western thinkings non-linear thinkers. Many Filipinos view world as fluid and dynamic and complex. Calculus would make total sense to them if taught in a way and recognizing that the only barrier to loving math is the language barrier not the conceptual barrier.

I learned calculus at age 5 but didn't know it until age 28 Does this need to happen to everyone?

Who would of thought (now that I am 28 years old) that the only barrier to me learning calculus is the words "integrals" and "differentiation" which had I known the meaning I actually learned when I was 5 years old. I could have built upon the awareness when I was five if I had not given into the emotional "fear" of the words themselves which divide the "expert" from the "commoner". How ridiculous it is that we wait until college for us to study calculus. And also how rediculous it is that we only teach calculus in AP classes to mostly white persons. I know that if taught to their cultural pedegogy all minorities would thrive on understanding and making sense of the how natural phenomena they have observed since the beginning of their existence are made up of bringing together things and breaking them into chunks (integration and differentiation respectively).

Thursday, July 23, 2009

I think every student should be a "classical" learner

When we approach each subject with a view of life long learning we will find that each subject or discipline in education can be accessed by each of us throughout our lives. What's wrong with learning more about physics, mathematics, economics, even if we are not in those fields. In fact, even though our postings or writings may be uninformed by a life long specialization track we will still succeed in one area, that is it will make a difference to you the learner. Every subject should have its own personal written publication by each learner and collected on a blog or some other avenue and then at the end of your life, an accumulation of ideas and theories from multiple different views from people who were in business, waste management, custodial services, etc. will have a contribution that will be accessabile and added to the ongoing journey of knowledge and application (wisdom).