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Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematical Thinking and Learning: An International Journal, 2016
Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…
Descriptors: Numbers, Arithmetic, Mathematics, Mathematics Instruction
Hunt, Jessica Heather; Tzur, Ron; Westenskow, Arla – Mathematical Thinking and Learning: An International Journal, 2016
The literature seems limited in what is known about conceptual processes that underlie evolution of students with learning disabilities (SLD) conceptions of fractions. This exploratory study examines how a foundational scheme of unit fractions (1/n) may evolve through the mathematical activity of two fifth grade girls. We analyze data segments…
Descriptors: Grade 5, Learning Disabilities, Mathematics, Mathematics Instruction
Amador, Julie; Lamberg, Teruni – Mathematical Thinking and Learning: An International Journal, 2013
Recent reform efforts in mathematics education have stimulated a focus on learning trajectories. At the same time, a global increase in high-stakes testing has influenced instructional practices. This study investigated how four fourth grade teachers within a school planned and enacted lessons to understand what mediated their planning and…
Descriptors: High Stakes Tests, Teacher Effectiveness, Experienced Teachers, Testing