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Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic

Gurl, Theresa J.; Fox, Ryan; Dabovic, Nikolina; Leavitt, Arielle Eager – Mathematics Teacher, 2016

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

Descriptors: Teaching Methods, Mathematics Teachers, Preservice Teachers, Teaching Experience

Devlin, Keith – Mathematics Teacher, 2010

The mathematics that students see in their textbooks is highly polished. The steps required to solve a problem are all clearly laid out. Thus, students are denied what could be a valuable learning experience. Often when students meet a problem that differs only slightly from the ones in the book, they are unable to proceed and afraid to "play…

Descriptors: Textbooks, Error Patterns, Probability, Learning Experience

Kalder, Robin S. – Mathematics Teacher, 2007

Research has found that teachers of mathematics are more effective when they have a profound understanding of the content that is being taught and the content to which students have previously been exposed. It is clear that professional programs must enable preservice teachers to develop the knowledge and skills they need to teach elementary…

Descriptors: Teaching Methods, Preservice Teachers, Mathematics Instruction, Mathematical Concepts

Marcus, Robin; Fukawa-Connelly, Tim; Conklin, Michael; Fey, James T. – Mathematics Teacher, 2007

This article describes recommendations made by participants in a large project of the Mathematical Association of America (MAA), in which representatives of "partner disciplines" shared what they would like students to learn in the first two years of college mathematics. The article further suggests implications for high school mathematics.…

Descriptors: College Mathematics, Secondary School Mathematics, High Schools, Mathematics Instruction