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Direct linkPatrick L. Sullivan; Joann E. Barnett; Kurt Killion – Mathematics Teacher: Learning and Teaching PK-12, 2023
This article describes the two types of reasoning in fraction conceptions that students often use, "gap" and "missing piece," and one that the authors aspire their students to reach, "residual." Each of these types of reasoning are underpinned by a different conception of fractions. Students who use "gap…
Descriptors: Fractions, Mathematical Logic, Mathematics Instruction, Teaching Methods
Ahrendt, Susan; Monson, Debra; Cramer, Kathleen – Mathematics Teacher: Learning and Teaching PK-12, 2021
In grade 3, students are expected to be able to represent a fraction on a number line by first identifying the interval from 0 to 1 as the unit and by partitioning the unit as needed on the basis of the denominator. This task extends these grade 3 fraction goals stated in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010)…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Grade 3, Fractions
