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Kathryn Lavin Brave; Izzy Berman; Debita Basu; Alexis Szkotak – TEACHING Exceptional Children, 2025
Manipulative-based instructional sequences have proven to be successful with students with disabilities. However, instruction must not only support the acquisition of conceptual and procedural knowledge but also build on students' strengths. This article describes how teachers can use manipulative-based instructional sequences to support the…
Descriptors: Teaching Methods, Manipulative Materials, Fractions, Mathematical Concepts
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Naomi Jessup – Investigations in Mathematics Learning, 2025
This study investigated upper elementary teachers' framings of their students' mathematical thinking in written across the three component skills of noticing. Drawing on a situated perspective, the research examines the influences of teachers' culturalhistorical backgrounds, attitudes, dispositions, interactions with students, and other situated…
Descriptors: Elementary School Teachers, Mathematical Logic, Writing (Composition), Faculty Development
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Brandon McMillan – Investigations in Mathematics Learning, 2025
Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…
Descriptors: Mathematics Skills, Thinking Skills, Mathematical Logic, Multiplication
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Chaoran Shen; Qingyuan Chen; Nan Zhang; Fengxin Diao; Pengfei Liu; Xinlin Zhou – European Journal of Psychology of Education, 2025
The ability to apply mathematical knowledge to solve real-life problems is often considered one of the fundamental educational goals. However, more attention in mathematics education has been given to the development of abstract mathematical computations in symbolic form. The current investigation aims to disclose whether there are different…
Descriptors: Elementary School Mathematics, Elementary School Students, Middle School Mathematics, Middle School Students