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Kertil, Mahmut; Erbas, Ayhan Kursat; Cetinkaya, Bulent – International Journal of Science and Mathematics Education, 2023
This study examined a cohort of middle school pre-service mathematics teachers' understanding of the rate of change as they engaged in a model development sequence. By adopting a design-based research perspective, a model development sequence on the concept of rate of change has been designed and implemented as part of a mathematical modeling…
Descriptors: Preservice Teachers, Mathematics Teachers, Middle School Mathematics, Mathematics Instruction
Siemon, Dianne – Mathematics Education Research Group of Australasia, 2022
This paper draws on numerous data sources to better understand the shift from additive to multiplicative thinking in years 4 to 9. Research studies that have used the Scaffolding Numeracy in the Middle Years assessment tasks have found that while students can be supported to move through the early and upper zones of the Learning and Assessment…
Descriptors: Mathematics Skills, Thinking Skills, Middle School Students, Multiplication
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Ervin, Heather K. – International Journal of Research in Education and Science, 2017
It is well documented in literature that rational number is an important area of understanding in mathematics. Therefore, it follows that teachers and students need to have an understanding of rational number and related concepts such as fraction multiplication and division. This practitioner reference paper examines models that are important to…
Descriptors: Mathematics Education, Fractions, Multiplication, Arithmetic
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Jacobson, Erik; Izsák, Andrew – Journal of Mathematics Teacher Education, 2015
Past studies have suggested that in light of recent curriculum standards, many US teachers make limited use of drawn models in their mathematics instruction. To gain insight into this phenomenon, we investigated relationships between US teachers' opportunities to learn about, knowledge of, motivation for, and instructional use of drawn models for…
Descriptors: Middle School Teachers, Mathematics Teachers, Mathematics Instruction, Secondary School Mathematics
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Shanty, Nenden Octavarulia; Hartono, Yusuf; Putri, Ratu Ilma Indra; de Haan, Dede – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…
Descriptors: Foreign Countries, Grade 5, Elementary School Mathematics, Multiplication
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Tsankova, Jenny K.; Pjanic, Karmen – Mathematics Teaching in the Middle School, 2009
Teaching students how to multiply fractions is challenging, not so much from a computational point of view but from a conceptual one. The algorithm for multiplying fractions is much easier to learn than many other algorithms, such as subtraction with regrouping, long division, and certainly addition of fractions with unlike denominators. However,…
Descriptors: Prior Learning, Multiplication, Arithmetic, Mathematical Logic