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Christy Pettis; Aran Glancy – Mathematics Teacher: Learning and Teaching PK-12, 2024
As students have struggled to use the "chip model" (i.e., red and yellow chips representing positive and negative numbers) to model integer addition and subtraction and have found it confusing, the authors developed a series of activities based on adding and removing opposite objects to and from a boat to better help students in this…
Descriptors: Mathematics Instruction, Numbers, Addition, Subtraction
Leah M. Frazee; Adam R. Scharfenberger – Mathematics Teacher: Learning and Teaching PK-12, 2023
The National Council of Teachers of Mathematics (NCTM) promotes creating resources that build procedural fluency from conceptual understanding through intentionally sequenced tasks that draw on students' prior knowledge and move from simple, concrete representations to more complex and abstract representations (Boston et al., 2017). Liljedahl…
Descriptors: Mathematics Instruction, Addition, Subtraction, Mathematical Concepts
Jennifer M. Tobias; Neet Priya Bajwa – Mathematics Teacher: Learning and Teaching PK-12, 2024
After years of noticing the challenge our students have with fraction operations, we decided to implement a scaffold approach that focuses on using benchmarks to better develop both students' understanding of a fraction as a quantity and their ability to think about fraction operations meaningfully. While we found this approach supported students…
Descriptors: Benchmarking, Fractions, Addition, Mathematics Instruction
Miles, Sandra J. – Mathematics Teacher: Learning and Teaching PK-12, 2022
To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…
Descriptors: Science Instruction, Mathematics Instruction, Grade 7, Grade 6