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Direct linkStarns, Jeffrey J.; Cohen, Andrew L.; Vargas, John M.; Lougee-Rodriguez, William F. – Journal of Statistics and Data Science Education, 2021
We developed and tested strategies for using spatial representations to help students understand core probability concepts, including the multiplication rule for computing a joint probability from a marginal and conditional probability, interpreting an odds value as the ratio of two probabilities, and Bayesian inference. The general goal of these…
Descriptors: Active Learning, Probability, Statistics Education, Concept Formation
Starns, Jeffrey J.; Cohen, Andrew L.; Bosco, Cara; Hirst, Jennifer – Applied Cognitive Psychology, 2019
We tested a method for solving Bayesian reasoning problems in terms of spatial relations as opposed to mathematical equations. Participants completed Bayesian problems in which they were given a prior probability and two conditional probabilities and were asked to report the posterior odds. After a pretraining phase in which participants completed…
Descriptors: Visualization, Bayesian Statistics, Problem Solving, Probability
Download full textResnick, Ilyse; Verdine, Brian; Golinkoff, Roberta; Hirsh-Pasek, Kathy – Grantee Submission, 2016
Preschoolers' experiences with shapes are important because geometry is foundational to aspects of mathematics and it is now part of the Common Core for school-readiness. Exposure to shapes also provides experiences that are key to developing spatial thinking more broadly. Yet achieving a strong conceptual understanding of geometric categories can…
Descriptors: Geometry, Geometric Concepts, Mathematics, Mathematics Instruction
Yeo, Joseph B. W. – Mathematics Teacher, 2012
Most students love to play games. Ernest (1986) believed that games could be used to teach mathematics effectively in four areas: motivation, concept development, reinforcement of skills, and practice of problem-solving strategies. Fifteen is an interesting and thought-provoking game that helps students learn mathematics at the same time. Playing…
Descriptors: Thinking Skills, Concept Formation, Spatial Ability, Geometric Concepts
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1986
This issue of the journal contains abstracts and critical comments for 10 published reports on research in mathematics education. The reports concern children's school mobility and achievement, preservice teachers' sources of decisions, spatial visualization in boys and girls, rote versus conceptual emphases in teaching probability, using drawings…
Descriptors: Computation, Educational Research, Elementary Secondary Education, Equations (Mathematics)
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Concept Formation, Curriculum Enrichment, Data Collection, Discovery Learning
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction
