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Nirode, Wayne – Mathematics Teacher, 2018
Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…
Descriptors: Secondary School Mathematics, High Schools, Geometry, Mathematics Instruction
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Nirode, Wayne – Mathematics Teacher, 2018
When the author first started teaching twenty years ago, he thought that as long as he was using dynamic geometry software (DGS) for students to "discover" conjectures instead of them learning the conjectures from a lecture or the textbook, he was maximizing their learning potential because they were using technology. Over the years, he…
Descriptors: Geometry, Computer Software, Computer Assisted Instruction, Mathematics Instruction
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Nirode, Wayne – Mathematics Teacher, 2017
Since the 1970s, the Mathematical Association of America's (MAA) journals "Mathematics Magazine" and "College Mathematics Journal" have published "Proofs without Words" (PWWs) (Nelsen 1993). "PWWs are pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Secondary School Mathematics