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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
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Tzur, Ron; Johnson, Heather L.; McClintock, Evan; Kenney, Rachael H.; Xin, Yan P.; Si, Luo; Woordward, Jerry; Hord, Casey; Jin, Xianyan – PNA, 2013
We present a synthesis of findings from constructivist teaching experiments regarding six schemes children construct for reasoning multiplicatively and tasks to promote them. We provide a task-generating platform game, depictions of each scheme, and supporting tasks. Tasks must be distinguished from children's thinking, and learning situations…
Descriptors: Multiplication, Constructivism (Learning), Child Development, Educational Experiments
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Tzur, Ron – Educational Studies in Mathematics, 2007
This study addressed a twofold problem--the soundness of a theoretical stage-distinction regarding the process of constructing a new (to the learner) mathematical conception and how such distinction contributes to fine grain assessment of students' mathematical understandings. As a context for the study served the difficult-to-grasp concept of…
Descriptors: Program Effectiveness, Foreign Countries, Grade 3, Mathematical Concepts