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The Mathematics of Perfect Shuffles     Mathematics  upset       font style='font-size:12px;'> 2015/7/14
There are two ways to perfectly shuffle a deck of 2n cards. Both methods cut the deck in half and interlace perfectly. The out shuffle 0 leaves the original top card on top. The in shuffle I leave...
The mathematics of mixing things up     Markov chains  rates of convergence  cutoff phenomenon       font style='font-size:12px;'> 2015/7/7
The mathematics of mixing things up。
The mathematics of the ip and horseshoe shu     Deck  reversal  crisscross  CARDS       font style='font-size:12px;'> 2015/7/7
We consider new types of perfect shues wherein a deck is split in half, one half of the deck is \reversed", and then the cards are interlaced. Flip shues are when the reversal comes from ipping the ...
Mathematics teaching and learning to reach beyond the basics     basics  teaching and learning       font style='font-size:12px;'> 2015/5/29
The purpose of this presentation is to paint a broadbrush picture of the challenge of providing mathematics teaching that encourages learning that goes beyond ‘the basics’.
The focus of this paper is on proportional reasoning, emphasising its pervasiveness throughout the mathematics curriculum, but also highlighting its elusiveness.
In recent years graphics representations have become increasingly widespread as society comes to terms with the information age.
This involves being able to deploy mathematical and numeracy skills adequate for successful general employment and functioning in society. This is a basic and minimal requirement for all at ...
Much has been written about assessment of learning, assessment for learning and assessment as learning. These three conceptions of assessment are examined in relation to primary mathematics...
The way people answer this question is illuminating and can reveal deeply held beliefs about the nature of mathematics and how it is best taught and learned. This presentation considers the ex...
This paper outlines how curriculum and assessment congruence considerations have been addressed in the context of the incorporation of computer algebra system (CAS) technology into Victorian...
Reconceptualising early mathematics learning     early mathematics  learning       font style='font-size:12px;'> 2015/5/29
Overthe pastdecade a suite of studies focused on the early bases of mathematical abstraction and generalisation has indicated that an awareness of mathematical pattern and structure is both ...
As part of a larger project1, students’ views on their preferences for particular types of mathematical tasks were sought, as well as how they describe their ideal mathematics lesson, and th...
The countries that are world leaders in teaching maths and science—Singapore, Korea, Japan, Hong Kong—are near neighbours and significant trading partners of ours. Some, like Singapore, have not onl...
TIMSS is the largest, most comprehensive study of educational achievement ever undertaken. More than half a million students from over 15 000 schools in 45 countries participated in the study, as di...

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