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Proof as a Cluster Category
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Czocher, Jennifer A.; Weber, Keith – Journal for Research in Mathematics Education, 2020
To design and improve instruction in mathematical proof, mathematics educators require an adequate definition of proof that is faithful to mathematical practice and relevant to pedagogical situations. In both mathematics education and the philosophy of mathematics, mathematical proof is typically defined as a type of justification that satisfies a…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Definitions
Dimensions of Learning Probability Vocabulary
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Groth, Randall E.; Bergner, Jennifer A.; Austin, Jathan W. – Journal for Research in Mathematics Education, 2020
Normative discourse about probability requires shared meanings for disciplinary vocabulary. Previous research indicates that students' meanings for probability vocabulary often differ from those of mathematicians, creating a need to attend to developing students' use of language. Current standards documents conflict in their recommendations about…
Descriptors: Mathematics Education, Mathematics Instruction, Probability, Vocabulary Development
An Experimental Study of the Effects of Three Instructional Methods in Basic Probability and Statistics
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Austin, Joe Dan – Journal for Research in Mathematics Education, 1974
Seventy-one college students were taught probability and statistics for one month by one of three methods: MP, manipulative-pictorial; P, pictorial; and S, symbolic. Analysis of variance yielded significant differences (p.05) between treatment groups for selected subtests of an achievement test and generally favored MP and P over S.
Descriptors: College Mathematics, Instruction, Intermode Differences, Manipulative Materials
Students' Probabilistic Thinking in Instruction.
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Jones, Graham A.; Langrall, Cynthia W.; Thornton, Carol A.; Mogill, A. Timothy – Journal for Research in Mathematics Education, 1999
Evaluates the thinking of third grade students in relation to an instructional program in probability which was informed by a research-based framework that included a description of students' probabilistic thinking. Reveals that overcoming misconceptions in sample space, applying both part-part and part-whole reasoning, and using invented language…
Descriptors: Abstract Reasoning, Cognitive Development, Grade 3, Learning
Rote versus Conceptual Emphases in Teaching Elementary Probability.
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Hansen, Randall S.; And Others – Journal for Research in Mathematics Education, 1985
Forty-eight students with no previous exposure to probability or statistics read one of three textbooks that varied in emphasis placed on rote and conceptual learning of basic elementary probability concepts. Findings, among others, show students who read textbooks emphasizing conceptual learning tended to be less sensitive to surface features.…
Descriptors: College Mathematics, Educational Research, Higher Education, Mathematics Achievement
Cognitive Snapshots of the Stochastic River--A Review of "Chance Encounters: Probability in Education," edited by Ramesh Kapadia and Manfred Borovcnik.
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Shaughnessy, J. Michael – Journal for Research in Mathematics Education, 1993
Reviews chapters of this book on probability in mathematics education. Topics discussed in the chapters include a historical perspective of probability, an epistemological perspective of probability, an overview of the psychological research on probability learning, computers in probability education, and an analysis of the probability curriculum.…
Descriptors: Book Reviews, Cognitive Development, Computer Assisted Instruction, Concept Formation