Problem solving means engaging in a task for which the solution is not immediately obvious. Problem solving is integral to mathematical learning. In day-to-day life and in the workplace the ability to problem solve is a highly advantageous skill. In the mathematics classroom problem solving should not be met in isolation, but should permeate all aspects of the teaching and learning experience. Problems may concern purely mathematical matters or some applied context. In a mathematics problem-solving environment it is recognised that there are three things learners need to do: • make sense of the problem • make sense of the mathematics they can learn and use when doing the problem • arrive at a correct solution to the problem
Leaving Certificate Foundation Level students can review the solutions to the problem solving questions using this document. The problem solving worksheet without the solutions is available here>
Leaving Certificate Ordinary and Higher Level students can review the solutions to the problem solving questions using this document. The problem solving worksheet without the solutions is available here>
The following applet can be used to explore the net of a Cone and it's surface area formula.Use slider to change the radius of the base and slider h to change height of the cone. Finally use the Net slider or press the play button to show how the cone unraps into its net.
The following applet can be used to explore the net of a Cylinder and it's surface area formula. Click on the formula to see the surface area formula for a cylinder. Change the height of the cylinder by dragging the h slider. Click play below the n slider to open the cylinder out.
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3-digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it?
See related video on more patterns in maths!
Suggestions for use: Use the video when explaining squares to first year students. Students should check Arthur's answers using their calculators as a way to practice finding squares of numbers on a calculator.
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