8614 /www/nrich/html/content/id/8614/ 5 2012-11-23T15:12:15 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">There are many different styles of question which can be used very effectively to develop knowledge of mathematics and mathematical skill.<br></br> <br></br> <br></br> <strong>General use of interactive elements</strong><br></br> <br></br> A very simple tool is to allow the dragging of cards around on the screen. This device can be used in many ways.<br></br> <br></br> <a href="http://nrich.maths.org/6331">IFFY logic</a>  - This exercise gives practice in logical reasoning<br></br> <br></br> <a href="http://nrich.maths.org/1404">Proof sorters</a> - Proof sorters give students access to proofs beyond their means to construct directly, and can be used to transmit many mathematical ideas<br></br> <br></br> <strong>Fluency and practice</strong><br></br> <br></br> There are many bad examples of this sort of thing on the web. Rather than simply use multiple choice, there are better ways to develop speed and fluency.<br></br> <br></br> <a href="http://nrich.maths.org/mobl/mathmo/mathmo.html">Mathmo</a><br></br> <br></br> <strong>Problems making use of video</strong><br></br> Video can be used effectively to set up a problem or activity<br></br> <br></br> <a href="http://nrich.maths.org/8054">Summing geometric progressions</a><br></br> <br></br> <strong>Sets of graded questions</strong><br></br> <br></br> Sometimes lots of small questions build up into a nice collection of structured exercises. These are good for allowing exploration of breaking down a difficult concept into more manageable chunks<br></br> <br></br> <a href="http://nrich.maths.org/6874">Transformations for 10</a> <br></br> <br></br> <a href="http://nrich.maths.org/6660">The clue is in the question</a> <br></br> <br></br> <strong>Problems which consolidate learning</strong><br></br> Some problems are ideal as end of topic consolidation or refreshment of ideas before a new topic is started.<br></br> <br></br> <a href="https://nrich.maths.org/6412">Integration Matcher</a><br></br> <br></br> <a href="https://nrich.maths.org/5923">Impossible triangles</a><br></br> <br></br> <a href="https://nrich.maths.org/8107">Trig reps</a><br></br> <br></br> <strong>Problems which introduce new ideas</strong><br></br> <br></br> <a href="http://nrich.maths.org/8106">Hyperbolic thinking</a><br></br> <br></br> <strong>Problems which can be solved in many different ways</strong><br></br> The same problems can often be solved in many different ways. This allows students to revisit problems when new content is learned.<a href="https://nrich.maths.org/6328"><br></br> Curved Square</a><br></br> <br></br> <br></br> <strong>Problems which may be used in multiple ways</strong><br></br> The same problem can be used by a teacher in multiple ways, depending on the needs of the students. <br></br> <br></br> <a href="https://nrich.maths.org/6500">Whose line graph is it anyway?</a><br></br> <br></br> <br></br> <strong>Sequences of linked tasks and ideas</strong><br></br> The web allows for tasks to be linked together in lots of interesting ways<br></br> <br></br> <a href="http://nrich.maths.org/7054">Weekly Challenge 19: Prime Aps</a><br></br> <br></br> <br></br> <strong>Good contexts</strong><br></br> Sometimes there is simply a great concept which can be used in many different ways<br></br> <br></br> <a href="http://nrich.maths.org/6448">Power countdown</a><br></br> <br></br> <a href="https://nrich.maths.org/6552">Calculus Countdown</a><br></br> <br></br> <br></br> <br></br> <strong>General mathematical thinking</strong><br></br> Some activities have relatively little content but can be good for developing mathematical thinking<br></br> <br></br> <a href="http://nrich.maths.org/6307">Air nets</a><br></br> <br></br> <a href="http://nrich.maths.org/7020">Painting by numbers</a><br></br> <br></br> <strong>Interactive articles</strong><br></br> Many expositions of material can be threaded with small questions along the way.<br></br> <br></br> <a href="http://nrich.maths.org/1384">Euler&#39;s Formula and Topology</a><br></br> <br></br> <a href="http://nrich.maths.org/4722">Introduction to differentiation</a><br></br> <br></br> <br></br> <strong>Problems allowing exposure to advanced mathematics</strong><br></br> Often problems can be created which give access to the ideas involved in advanced mathematics, without the need for being able to do the advanced mathematics<br></br> <br></br> <a href="https://nrich.maths.org/7335">Easy as abc</a><br></br> <br></br> <strong>Just nice problems</strong><br></br> There are lots of problems that are just nice to have around<br></br> <br></br> <a href="http://nrich.maths.org/274">Absurdity</a> <br></br> <br></br> <br></br> <br></br> <br></br> <br></br></mdoxml> 0 3 0 0 0 0 1 Some comments on teaching and learning sfh10 Steve - Development