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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
Dick, Lara K.; Sawyer, Amanda G.; MacNeille, Margaret; Shapiro, Emily; Wismer, Tabitha A. – Mathematics Teacher: Learning and Teaching PK-12, 2023
Let's say you are a Grades 3-5 teacher in search of an activity sheet on different fraction notations. A search in May 2022 on the popular resources sharing site TeachersPayTeachers (TpT) yielded 2,832 results, 105 of which were free. With so many options, how would you go about choosing a resource for your students? What would factor into your…
Descriptors: Mathematics Activities, Grade 3, Grade 4, Grade 5
Harper, Frances K.; Crespo, Sandra – Mathematics Teacher: Learning and Teaching PK-12, 2020
This task structure both engages students in serious, grade-level appropriate mathematical work and allows the teacher to do the intentional and purposeful work of building a collaborative classroom culture. We highlight possibilities for adapting this task structure to teach different mathematics content across grade levels 3-5.
Descriptors: Cooperative Learning, Mathematics Activities, Learner Engagement, Developmentally Appropriate Practices
