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Provost, Amanda; Lim, Su San; York, Toni; Panorkou, Nicole – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
The frequentist and classical models of probability provide students with different lenses through which they can view probability. Prior research showed that students may bridge these two lenses through instructional designs that begin with a clear connection between the two, such as coin tossing. Considering that this connection is not always…
Descriptors: Probability, Models, Mathematics Instruction, Teaching Methods
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Watson, Jane; English, Lyn – Australian Mathematics Teacher, 2015
By the time students reach the middle years they have experienced many chance activities based on dice. Common among these are rolling one die to explore the relationship of frequency and theoretical probability, and rolling two dice and summing the outcomes to consider their probabilities. Although dice may be considered overused by some, the…
Descriptors: Mathematics Instruction, Manipulative Materials, Simulation, Technology Uses in Education
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Boyce, Steven – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this proposal, I introduce a method for modeling the dynamics of a sixth-grade student's accommodation of his fractions scheme to include a disembedding operation (Steffe & Olive, 2010). I will describe a three-part approach consisting of a constructivist teaching experiment, retrospective analysis, and stochastic modeling of the student's…
Descriptors: Grade 6, Fractions, Mathematics Instruction, Teaching Methods
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Harlow, Danielle B.; Swanson, Lauren H.; Nylund-Gibson, Karen; Truxler, Adam – Science Education, 2011
Understanding what children know is paramount to planning effective science instruction; however, in any classroom, the students hold a variety of ideas. Representing these differences in ways that also acknowledge the common trends among students might facilitate the process of differentiation. To exemplify one such possible process of…
Descriptors: Statistical Analysis, Science Instruction, Student Reaction, Age Differences
Lewis, Virginia Vimpeny – ProQuest LLC, 2011
Number Concepts; Measurement; Geometry; Probability; Statistics; and Patterns, Functions and Algebra. Procedural Errors were further categorized into the following content categories: Computation; Measurement; Statistics; and Patterns, Functions, and Algebra. The results of the analysis showed the main sources of error for 6th, 7th, and 8th…
Descriptors: Problem Solving, Concept Formation, Number Concepts, Grade 6
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Lehrer, Richard; Kim, Min-joung; Schauble, Leona – International Journal of Computers for Mathematical Learning, 2007
New capabilities in "TinkerPlots 2.0" supported the conceptual development of fifth- and sixth-grade students as they pursued several weeks of instruction that emphasized data modeling. The instruction highlighted links between data analysis, chance, and modeling in the context of describing and explaining the distributions of measures that result…
Descriptors: Computer Assisted Instruction, Concept Formation, Statistical Analysis, Statistics