Many things repeat.
When you learn to count … 1, 2, 3, 4, 5, … you are increasing your number by one every time. Many number sequences are nothing more than always repeating the same algorithm. When a creature produces its shell, it is repeating the same simple building instructions as it grows, thereby creating a spiral (or one shell of a bivalve).
On a semi-humorous, semi-serious note, the idea of a day that kept repeating itself formed the basis for the entertaining movie, Groundhog Day.
In this part of the website I want to help you explore such repeating things.
Sequences and Series ~ Repeating patterns with numbers
Mathematical Induction ~ Repeating patterns with ideas, concepts, and algebraic structures
Fractals ~ Repeating patterns with geometric shapes
We were all deeply impressed with Graeme from the very beginning. [Lucas’] confidence radically changed within only 3 weeks of Graeme’s instruction and assistance. I am sure this was largely attributed to Graeme’s infectious passion and love for his subject, and his high personal level of skill, teaching experience and understanding of mathematics. Lucas always found Graeme could explain concepts so knowledgeably and easily, which really did transform Lucas’ appreciation and enjoyment of the subject. Graeme always gave Lucas assistance and time over and above his hour’s tutoring session. Graeme has developed a wonderful relationship and more of a mentoring role which has been of great assistance and value to Lucas as he faces the pressures of his final year of school. I have no hesitation in recommending Graeme as an outstanding tutor and friend, and a very wise, knowledgeable and capable teacher of the highest calibre.
Sally T (parent, 2005)
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