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Doherty, Kristin – Mathematics Teacher: Learning and Teaching PK-12, 2023
In this article, the author describes strategies to support students in conjecturing in ways that promote their agency. Conjecturing involves justifying (i.e., a practice that promotes epistemic agency and engages students in mathematical reasoning to defend their claims; Bieda & Staples, 2020) by which a conjecture becomes proven, modified,…
Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Personal Autonomy
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Peterson, Blake – Mathematics Teacher: Learning and Teaching PK-12, 2022
A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…
Descriptors: High School Students, Mathematics Instruction, Geometry, Common Core State Standards
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Clarkson, Kelsey A.; Tobias, Jennifer M. – Mathematics Teacher: Learning and Teaching PK-12, 2020
Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…
Descriptors: Secondary School Mathematics, Number Concepts, Arithmetic, Mathematics Skills