Mathy
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The Tower of Hanoi: Where maths meets psychology

The Tower of Hanoi: Where maths meets psychology | Mathy | Scoop.it

Mathematicians and psychologists don't cross paths that often and when they do you wouldn't expect it to involve an (apparently) unassuming puzzle like the Tower of Hanoi. Yet, the puzzle holds fascination in both fields. In psychology it helps to assess someone's cognitive abilities. In maths it displays a wealth of beautiful features and leads you straight to surprisingly tricky questions that still haven't been answered.

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Kill Math

Kill Math | Mathy | Scoop.it

The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.

 

Kill Math is my umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuition-guided exploration. In the long term, I hope to develop a widely-usable, insight-generating alternative to symbolic math.

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VizMath - Connectivist Mooc

VizMath - Connectivist Mooc | Mathy | Scoop.it

VizMath is an unusual course. It does not consist of a body of content you are supposed to remember. Rather, the learning in the course results from the activities you undertake, and will be different for each person.

 

This type of course is called a 'connectivist' course and is based on four major types of activity:

 

1. Aggregate

2. Remix

3. Repurpose

4. Feed Forward

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What is mathematical investigation?

What is mathematical investigation? | Mathy | Scoop.it

Mathematical investigation refers to the sustained exploration of a mathematical situation. It distinguishes itself from problem solving because it is open-ended. 

 

Problem solving is a convergent activity. It has definite goal – the solution of the problem. Mathematical investigation on the other hand is more of a divergent activity. In mathematical investigations, students are expected to pose their own problems after initial exploration of the mathematical situation. The exploration of the situation, the formulation of problems and its solution give opportunity for the development of independent mathematical thinking and in engaging in mathematical processes such as organizing and recording data, pattern searching, conjecturing, inferring, justifying and explaining conjectures and generalizations.

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Dance, Factors, Dance – A Variation On Yorgey's Factorization Diagrams

Dance, Factors, Dance – A Variation On Yorgey's Factorization Diagrams | Mathy | Scoop.it

Upon first sight of Brent Yorgey's brilliant Factorization Diagrams, I knew that I should take his lovely little dots and make them dance. And thus was borne the Factor Conga: a promenade of primes, composites, and their constituents, arranged with an aesthetically-tuned variation of Yorgey’s rules, one per second.

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Bookmarks for mathematics related stuff

This will have articles and pages with mathematical related topics like mathematical thinking, mathematics learning, and so forth.

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Making MathBox

Making MathBox | Mathy | Scoop.it

MathBox is a library for rendering presentation-quality math diagrams in a browser using WebGL. Built on top of Three.js and tQuery, it provides a clean API to visualize mathematical relationships and animate them smoothly.

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What is mathematical modeling?

What is mathematical modeling? | Mathy | Scoop.it

Mathematical modeling approaches can be categorized into four broad approaches: Empirical models, simulation models, deterministic models, and stochastic models. The first three models can very much be integrated in teaching high school mathematics. The last will need a little stretching.

 

Empirical modeling involves examining data related to the problem with a view of formulating or constructing a mathematical relationship between the variables in the problem using the available data.

 

Simulation modeling involve the use of a computer program or some technological tool to generate a scenario based on a set of rules. These rules arise from an interpretation of how a certain process is supposed to evolve or progress.

 

Deterministic modeling in general involve the use of equation or set of equations to model or predict the outcome of an event or the value of a quantity.

 

Stochastic modeling takes deterministic modeling one further step. In stochastic models, randomness and probabilities of events happening are taken into account when the equations are formulated. The reason behind this is the fact that events take place with some probability rather than with certainty. This kind of modeling is very popular in business and marketing.

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Math education and the grade obsession of the students

Math education and the grade obsession of the students | Mathy | Scoop.it

Yet many students had an ongoing obsession with their grades, and indeed pleaded with me from time to time to re-grade their work. With literally nothing at stake, I was at first surprised by the degree to which it bothered some of them. When I figured out what was probably going on, I found something that bothered me.

 

That grade obsession I observed is, I suspect, simply a learned behavior that reflects the way our K-12 system turns the learning of a fascinating subject – one of humankind’s most amazing, creative, intellectual achievements – into a seemingly endless sequence of bite-sized pieces that are fed to the student in a mandated hamster-wheel.

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What is good mathematics?

What is good mathematics? | Mathy | Scoop.it

It is possible at K-12 levels for students to actually produce good mathematics within the universe of their knowledge. 

 

Good mathematics could refer to any of the following:

 

Good mathematical problem-solving 
Good mathematical technique
Good mathematical theory 
Good mathematical insight 
Good mathematical discovery 
Good mathematical application 
Good mathematical exposition 
Good mathematical pedagogy 
Good mathematical vision 
Good mathematical taste 
Good mathematical public relations 
Good meta-mathematics 
Rigorous mathematics 
Beautiful mathematics 
Elegant mathematics 
Creative mathematics 
Useful mathematics 
Strong mathematics 
Deep mathematics

Intuitive mathematics 
Definitive mathematics 

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Why Study Math?

Why Study Math? | Mathy | Scoop.it

Why do we need to learn math?... by Math Forum: Ask Dr. Math

 

How Is Math Used In Technology?, Examining How Mathematics is Used in the Workplace.

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