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Direct linkChick, Helen – Mathematics Teaching, 2010
There is much to be learned and pondered by reading "Proofs and Refutations," by Imre Lakatos. It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning process, where…
Descriptors: Definitions, Probability, Geometry, Mathematics Instruction
Peer reviewed
Download full textChick, Helen – Australian Mathematics Teacher, 2010
There is much to be learned and pondered by reading "Proofs and Refutations" by Imre Lakatos (Lakatos, 1976). It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning…
Descriptors: Definitions, Literary Devices, Probability, Mathematics Instruction
Baker, Monica; Chick, Helen – Australian Primary Mathematics Classroom, 2007
Everyone knows that teachers do not have unlimited time, a log of experience, or a deep understanding of all the mathematics they teach. To solve this problem, teachers often use textbooks, and the accompanying teacher's resource books, as sources of activities and advice about how to help students learn mathematics. The activity that prompted…
Descriptors: Textbooks, Grade 5, Probability, Foreign Countries
