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Dini, Vesal; Hammer, David – Physical Review Physics Education Research, 2017
Research on student epistemologies in introductory courses has highlighted the importance of understanding physics as "a refinement of everyday thinking" [A. Einstein, J. Franklin Inst. 221, 349 (1936)]. That view is difficult to sustain in quantum mechanics, for students as for physicists. How might students manage the transition? In…
Descriptors: Case Studies, Epistemology, Quantum Mechanics, Probability
Weinberg, Aaron; Thomas, Matthew – International Journal of Mathematical Education in Science and Technology, 2018
While 'flipped' classrooms have been heralded as a valuable tool for student learning, little is known about the process by which students learn from the out-of-class resources. This study investigates 12 undergraduate students' sense-making activities while watching videos about topics in introductory statistics. Analysis of interview data…
Descriptors: Academic Achievement, Comprehension, Video Technology, Lecture Method
Pfannkuch, Maxine; Arnold, Pip; Wild, Chris J. – Educational Studies in Mathematics, 2015
Currently, instruction pays little attention to the development of students' sampling variability reasoning in relation to statistical inference. In this paper, we briefly discuss the especially designed sampling variability learning experiences students aged about 15 engaged in as part of a research project. We examine assessment and…
Descriptors: Statistical Inference, Statistical Analysis, Sampling, Interviews
Hawera, Ngarewa; Taylor, Merilyn – Mathematics Education Research Group of Australasia, 2015
In Maori medium schools, research that investigates children's mathematical computation with number and connections they might make to mathematical ideas in other strands is limited. This paper seeks to share ideas elicited in a task-based observation and interview with one child about the number ideas she utilises to solve a problem requiring…
Descriptors: Foreign Countries, Mathematics Education, Computation, Probability
Jacob, Bridgette L. – ProQuest LLC, 2013
The difficulties introductory statistics students have with formal statistical inference are well known in the field of statistics education. "Informal" statistical inference has been studied as a means to introduce inferential reasoning well before and without the formalities of formal statistical inference. This mixed methods study…
Descriptors: Statistics, Introductory Courses, Inferences, Mathematical Concepts
Plaxco, David – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
This article discusses results from interviews investigating students' understanding of probabilistic independence and mutual exclusivity. Three students compared several sets of events in various sample spaces. Data collected from these interviews gives evidence of a temporal conception wherein students think of independence as reliant on a…
Descriptors: Probability, Interviews, Mathematical Logic, Mathematics Instruction
Dwyer, Jerry; Moorhouse, Kim; Colwell, Malinda J. – International Journal for Mathematics Teaching and Learning, 2009
This paper describes an intervention at the 8th grade level where university mathematics researchers presented a series of lessons on introductory concepts in probability and statistics. Pre- and post-tests, and interviews were conducted to examine whether or not students at this grade level can understand these concepts. Students showed a…
Descriptors: Cognitive Style, Intervention, Grade 8, Probability
Ives, Sarah Elizabeth – ProQuest LLC, 2009
The purposes of this study were to investigate preservice mathematics teachers' orientations, content knowledge, and pedagogical content knowledge of probability; the relationships among these three aspects; and the usefulness of tasks with respect to examining these aspects of knowledge. The design of the study was a multi-case study of five…
Descriptors: Preservice Teachers, Test Items, Mathematics Teachers, Probability
Iversen, Kjaerand; Nilsson, Per – International Journal of Computers for Mathematical Learning, 2007
This paper focuses on the different ways in which students in lower secondary school (14-16 year olds) experience compound random events, presented to them in the form of combined junctions. A carefully designed ICT environment was developed enabling the students to interact with different representations of such structures. Data for the analysis…
Descriptors: Constructivism (Learning), Computer Uses in Education, Computer Simulation, Secondary School Students
Nicolson, Cynthia Pratt – Teaching Children Mathematics, 2005
This article describes surprising misconceptions revealed by a fifth-grade student during a series of interviews about probability.
Descriptors: Grade 5, Probability, Misconceptions, Student Attitudes
Rubel, Laurie H. – Journal for Research in Mathematics Education, 2007
This article describes a subset of results from a larger study (Rubel, 2002) that explored middle school and high school students' probabilistic reasoning abilities across a variety of probabilistic contexts and constructs. Students in grades 5, 7, 9, and 11 at an urban, private school for boys (n = 173) completed a Probability Inventory,…
Descriptors: Private Schools, Grade 7, Grade 9, Grade 11
Sharma, S. V. – International Journal of Science and Mathematics Education, 2006
Concerns about students' difficulties in statistical reasoning led to a study which explored form five (14- to 16-year-olds) students' ideas in this area. The study focussed on descriptive statistics, graphical representations, and probability. This paper presents and discusses the ways in which students made sense of information in graphical…
Descriptors: Mathematical Concepts, Probability, Student Attitudes, Tables (Data)

Konold, Clifford; And Others – Journal for Research in Mathematics Education, 1993
Examined inconsistencies in secondary school students' reasoning about the probability concept of equally likely events. Results of two studies suggest that the number of students who understand the concept of independence is much lower than the latest National Assessment of Educational Progress results indicate. (Contains 22 references.) (MDH)
Descriptors: Abstract Reasoning, Cognitive Measurement, Interviews, Mathematical Concepts

Fischbein, Efraim; And Others – Educational Studies in Mathematics, 1991
To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…
Descriptors: Cognitive Structures, Cognitive Style, Comprehension, Concept Formation
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks
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