Working systematically
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pageProblem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information. -
pageIntegrated Sums Sudoku
The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on the intersections between two diagonally adjacent squares.
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articleBinomial Coefficients
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
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articleEncouraging Primary Children to Work Systematically
This article for primary teachers suggests ways in which to help children become better at working systematically. -
articlePeg and Pin Boards
This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
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articleLearning Mathematics Through Games Series: 4. From Strategy Games
Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse the outcomes of series of 'moves'. With a little encouragement from the teacher, a mathematical investigation is born.
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articleGames Related to Nim
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
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projectTroublesome Triangles
Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.
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articleThe Naked Pair in Sudoku
A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.
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articlePhiddlywinks - A Tribute to John Conway
Read this article to find out more about the inspiration for NRICH's game, Phiddlywinks.