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Yopp, David A.; Ellsworth, Jacob L. – Mathematics Teaching in the Middle School, 2016
Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…
Descriptors: Generalization, Trust (Psychology), Persuasive Discourse, Mathematics Education
Wells, Pamela J. – Mathematics Teaching in the Middle School, 2015
Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…
Descriptors: Secondary School Mathematics, Middle School Students, Grade 8, Mathematics Instruction
National Assessment Governing Board, 2012
As the ongoing national indicator of what American students know and can do, the National Assessment of Educational Progress (NAEP) in Reading regularly collects achievement information on representative samples of students in grades 4, 8, and 12. Through The Nation's Report Card, the NAEP Reading Assessment reports how well students perform in…
Descriptors: Reading Achievement, National Competency Tests, Reading Comprehension, Grade 4