So much good mathematics begins with play … with arranging, manipulating, folding, cutting, and drawing objects and shapes. Except for the drawing, there need be no pens or pencils in sight!
Even the abstract thinker draws on his/her experiences with manipulating objects. They have sorted them, placed them in groups, stacked them, compared them, arranged them in patterns, etc. All our fundamental abstract concepts are learned in this way. We even develop different problem-solving strategies, extrapolate and interpolate results, discover and analyse patterns, and make inferences and generalisations about the objects that we play with. Even older children (and adults) can benefit from such play, although it is of fundamental importance for the developing child.
Having been inspired by W W Sawyer’s book, The Search for Pattern, as a teenager I must admit to the belief that all mathematics is based upon pattern and our search for it. I also believe that it is important that we manipulate shapes and objects because the same part of our brain that controls our fingers is involved in our calculating with numbers and discerning the patterns that they make. In other words, we are training that part of the brain.
It will take time to populate this part of my site with ideas and puzzles/problems that you can use and solve, but that does not diminish their importance!
Our daughter Angelina was home schooled and from the start did not like maths. Over the years I have battled through, trying 5 different programs along the way. Angelina was surviving but not enjoying the journey but, when it came to algebra, the future looked dim. A friend recommended Graeme to me as her three sons had been tutored by him. She could not recommend him more highly. My daughter has just finished year 12 maths and did very well, thanks to Graeme (that would be an understatement). Graeme has a love for his subject and a genuine interest in his students. Graeme seems to meets his students where they are and tailors the lessons to meet their individual needs and interests. Graeme not only explains concepts clearly, but we all found him an interesting, knowledgeable and humble man. We are extremely happy that Graeme was recommended to us. Now our daughter is looking forward to uni with a grateful heart. We also could not recommend Graeme more highly.
Angela K (parent, 2013)
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