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Download full textWadham, Bridget; Pearce, Emily; Hunter, Jodie – Mathematics Education Research Group of Australasia, 2023
In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…
Descriptors: Algebra, Mathematics Instruction, Multiplication, Learning Processes
Peer reviewed
Direct linkYopp, 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
