MetaFilter posts tagged with mathematics and education

Homework Helper

netbros — Wed, 18 Feb 2009 21:39:07 -0800

World of Science contains budding encyclopedias of astronomy, scientific biography, chemistry, and physics. This resource has been assembled over more than a decade by internet encyclopedist Eric Weisstein with assistance from the internet community. MeFi visited Weisstein's Mathworld a couple years ago.

The Spherical Wave Structure of Matter in Space

netbros — Fri, 30 Jan 2009 16:05:00 -0800

On Truth and Reality. Despite several thousand years of failure to correctly understand physical reality (hence the current postmodern view that this is impossible) it is actually very simple to work out how matter exists and moves about in Space. The rules of Science (Occam's Razor / Simplicity) and Metaphysics (Dynamic Unity of Reality) require that reality be described from only one single source existing, as Leibniz wrote: "because of the interconnection of all things with one another." The Four Main Purposes of this Website 1. To help people understand truth and reality 2. To realize that we are structures of the universe 3. To solve the central problems of knowledge 4. To share this knowledge with others Deduce the most simple science theory of reality, the wave structure of matter in Space, then deduce from this to show that it works. There is no opinion involved - it shows that science does work - we just needed the correct (most simple) foundations. Given the Wave Structure of Matter in Space it is now possible to explain what mathematics is, how it can exist in the universe, and thus why it is so well suited for describing physical quantities (mathematical physics). We can simplify Einstein's foundations of representing matter as continuous fields in space-time, to waves in continuous space. It does lead to a very simple, sensible foundation for understanding physical reality, and thus how you exist in the universe. This article basically explains the main subjects of quantum theory from a Wave Structure of Matter foundation (wave mechanics). If you prefer shorter summaries just browse the quantum physics links on either side of the page. The purpose of the Cosmology page is to simply explain the two cosmology theories that are consistent with current observations. You will need a basic understanding of the Wave Structure of Matter (WSM) before you read it. This WSM cosmology is actually describing what you really are, how you exist in this space of the universe and interact with everything around you. There is a revolution coming in the foundations of our knowledge because we have solved the central problem of metaphysics, of what exists (space) that causes and connects the many things we experience (waves in space that form matter, the discrete and separate particle an illusion of our limited senses). Matter is large, a structure of space, and this truth about reality will change humanity. If we are to discuss God and Religion, it is obvious that we must clearly define the meaning of these words (as all words are human constructions). In Philosophy God is generally referred to as the One thing that exists, infinite and eternal, that causes and connects the many things. Likewise, Religion, from Latin 'religare' meaning 'to bind', describes our connection to God as the One thing which exists. From this foundation we then see the clear connection between the sciences of philosophy, physics, metaphysics, and theology, as they are all founded on this Reality of One thing existing. As humans have evolved from Nature they ultimately depend upon Nature for their survival. Until we understand what we are as humans (what matter is) and how we are connected to the universe (reality), it is impossible for humanity to be wise, and to be able to evolve cultural knowledge that enables us to live in harmony with Nature. It is well known that our senses are deceptive, that when we see things as being separate and discrete bodies this is an illusion. Using science terminology then all we are really talking about is evolution and ecology. That all things in the universe (including life on earth) are interconnected and changing (the dynamic unity of reality). Teaching people how to think correctly and to use language carefully (to work out the truth for themselves) is a pretty good start for education (i.e. by teaching philosophy to students from a young age). If we are to improve human societies (which has become an urgent problem) we must consider the forces that determine their evolution. And four of the most significant factors are market economics, politics, education (the knowledge foundations of the people) and Nature.

Math Education: An Inconvenient Truth

davar — Sat, 06 Sep 2008 03:02:27 -0800

Math Education: An Inconvenient Truth. How children learn (or: don't learn) math today. The video explains the new ways children are taught division and multiplication and what is wrong with new new math (not to be confused with the new math that was taught in the sixties) or whole math. From the textbook in the video:The authors of Everyday Mathematics do not believe it is worth students’ time and effort to fully develop highly efficient paper-and-pencil algorithms for all possible whole-number, fraction, and decimal division problems. Mastery of the intricacies of such algorithms is a huge endeavor, one that experience tells us is doomed to failure for many students. It is simply counter-productive to invest many hours of precious class time on such algorithms. The mathematical payoff is not worth the cost, particularly because quotients can be found quickly and accurately with a calculator.

Would you like to play a game?

Blazecock Pileon — Mon, 18 Feb 2008 00:29:28 -0800

Fun and games with mathematics and mathematical puzzles (e.g. heart basket, Rubik's Cube, Rubik's Magic, hypercubes, and more) in both English and (with yet more content in) German.

Aptitude Schmaptitude!: innumeracy in America

jason's_planet — Thu, 03 May 2007 07:30:58 -0800

Aptitude Schmaptitude! While the state of mathematical incompetence in this country has been much lamented, most famously in Paulos's brilliant 1988 book Innumeracy, it is still tacitly accepted . . . Being incompetent in math has become not only acceptable in this widely innumerate culture, it has almost become a matter of pride. No one goes around showing off that he is illiterate, or has no athletic ability, but declarations of innumeracy are constantly made without any embarrassment or shame.

The Narrow Road

phrontist — Tue, 01 May 2007 13:46:26 -0800

The Narrow Road : in which a professional mathematician guides you through pure mathematics (and touches on tangential issues).

MathFilter(edout)

daksya — Thu, 16 Feb 2006 21:56:00 -0800

The Value of Algebra: "Gabriela, sooner or later someone's going to tell you that algebra teaches reasoning. This is a lie propagated by, among others, algebra teachers."

MathematicsFilter

Gyan — Fri, 01 Apr 2005 19:11:55 -0800

Mathematics Awareness Month - April 2005: Essays, DVD, Links. Prior MAMs.

Math + test = trouble for US economy

Postroad — Mon, 06 Dec 2004 17:02:47 -0800

Math + test = trouble for US economy For a nation committed to preparing students for 21st century jobs, the results of the first-of-its-kind study of how well teenagers can apply math skills to real-life problems is sobering. American 15-year-olds rank well below those in most other industrialized countries in mathematics literacy and problem solving, according to a survey released Monday