Risk Intuitions And Perceptions: A Case Study Of Four Year 13 (Grade 12) Students,
2015
University of Montana
Risk Intuitions And Perceptions: A Case Study Of Four Year 13 (Grade 12) Students, Stephanie Budgett, Lorraine O'Carroll, Maxine Pfannkuch
The Mathematics Enthusiast
In the New Zealand school statistics curriculum, year 12 students (aged 16-17) are required to solve problems that involve interpreting risk and relative risk within a range of meaningful contexts. In a small exploratory study we investigate the risk conceptions of four year 13 students who performed at the excellence level in their year 12 externally-assessed examination on this topic. Through questionnaires and interviews we investigate the ways in which these students perceive and express risks associated with a variety of everyday activities and also how they compare the risks of several adverse outcomes. We also explore the strategies they …
Adults’ Perceptions Of Risk In The Big Data Era,
2015
University of Montana
Adults’ Perceptions Of Risk In The Big Data Era, Theodosia Prodromou
The Mathematics Enthusiast
The present digital era has seen rapid growth in the availability of big data; we were curious about whether such availability of data changes perceptions and assessments of risk. In this paper, we investigate adults’ (35-63 years old) perceptions of risk in the big-data era and how it figures in their everyday life. We developed decision-making scenarios for socio-economic, environmental and health topics that involve modelling with personal value systems alongside Gapminder word map data. Going beyond the idea of risk in statistical theory, we attempt to gain an understanding of the processes by which adults assess risks.
A Conversation With Herbert Tate: Mathematics Educator And Builder,
2015
University of Montana
A Conversation With Herbert Tate: Mathematics Educator And Builder, Christian Genest
The Mathematics Enthusiast
Herbert Tate was a Professor of Mathematics at McGill University (Montréal, Canada) from 1921 to 1964. As the author of four textbooks, and in his capacity as Chairman of the Department of Mathematics from 1948 to 1960, he played a key role in structuring the institution’s research and study programs in mathematics during an important period of growth. McGill’s current position as a hub of mathematical research owes much to him. In this interview given shortly after his retirement, Herbert Tate describes his career and shares some of his views about mathematics and related topics. Beyond its archival value, this …
Mathematical Creativity: The Unexpected Links,
2015
University of Montana
Mathematical Creativity: The Unexpected Links, Amine El-Sahili, Nour Al-Sharif, Sahar Khanafer
The Mathematics Enthusiast
Creativity in mathematics is identified in many forms or we can say is made up of many components. One of these components is The Unexpected Links where one tries to solve a mathematical problem in a nontraditional manner that requires the formation of hidden bridges between distinct mathematical domains or even between seemingly far ideas within the same domain. In this article, we design problems that express unexpected links in mathematics and suit students of intermediate and secondary levels. We prove their feasibility through teachers’ testimonies and through introducing them in classrooms and collecting students’ attitudes with respect to understanding …
Risk Measures On Orlicz Heart Spaces,
2015
Louisiana State University
Risk Measures On Orlicz Heart Spaces, Coenraad Labuschagne, Habib Ouerdiane, Imen Salhi
Communications on Stochastic Analysis
No abstract provided.
Regular Transformation Groups Based On Fourier-Gauss Transforms,
2015
Louisiana State University
Regular Transformation Groups Based On Fourier-Gauss Transforms, Maximilian Bock, Wolfgang Bock
Communications on Stochastic Analysis
No abstract provided.
Fractional Hida-Malliavan Derivatives And Series Representations Of Fractional Conditional Expectations,
2015
Louisiana State University
Fractional Hida-Malliavan Derivatives And Series Representations Of Fractional Conditional Expectations, Sixian Jin, Qidi Peng, Henry Schellhorn
Communications on Stochastic Analysis
No abstract provided.
On P-Confidence Intervals For G-Expectations,
2015
Louisiana State University
On P-Confidence Intervals For G-Expectations, Leo Shen, Rodney C Wolff
Communications on Stochastic Analysis
No abstract provided.
Structure And Decompositions Of The Linear Span Of Generalized Stochastic Matrices,
2015
Louisiana State University
Structure And Decompositions Of The Linear Span Of Generalized Stochastic Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
Communications on Stochastic Analysis
No abstract provided.
On Approximation Rates For Boundary Crossing Probabilities For The Multivariate Brownian Motion Process,
2015
Louisiana State University
On Approximation Rates For Boundary Crossing Probabilities For The Multivariate Brownian Motion Process, Shaun Mckinlay, Konstantin Borovkov
Communications on Stochastic Analysis
No abstract provided.
On The Fundamental Theorem Of Asset Pricing,
2015
Louisiana State University
On The Fundamental Theorem Of Asset Pricing, Abhay G Bhatt, Rajeeva L Karandikar
Communications on Stochastic Analysis
No abstract provided.
Periodic Solutions Of Discrete Generalized Schrödinger Equations On Cayley Trees,
2015
Louisiana State University
Periodic Solutions Of Discrete Generalized Schrödinger Equations On Cayley Trees, Fumio Hiroshima, József Lörinczi, Utkir Rozikov
Communications on Stochastic Analysis
No abstract provided.
Almost-Sure Explosive Solutions Of Some Nonlinear Parabolic Itô Equations,
2015
Louisiana State University
Almost-Sure Explosive Solutions Of Some Nonlinear Parabolic Itô Equations, Pao-Liu Chow, Rafail Khasminskii
Communications on Stochastic Analysis
No abstract provided.
Math Department Newsletter, 2014-2015,
2015
Sacred Heart University
Math Department Newsletter, 2014-2015, Mathematics Department
Mathematics Newsletter
No abstract provided.
Editorial: The Economics Of Risk,
2015
University of Montana
Editorial: The Economics Of Risk, Bharath Sriraman
The Mathematics Enthusiast
No abstract provided.
Understanding Risk Through Board Games,
2015
University of Montana
Understanding Risk Through Board Games, Joshua T. Hertel
The Mathematics Enthusiast
In this article, I describe a potential avenue for investigating individual’s understanding of and reactions to risk using the medium of board games. I first discuss some challenges that researchers face in studying risk situations. Connecting to the existing probabilistic reasoning literature, I then present a rationale for using board games to model these situations. Following this, I draw upon intuition and dual-process theory to outline an integrated theoretical perspective for such investigations. The article concludes with two vignettes demonstrating how this perspective might be used to analyze thinking about risk in a board game setting.
Risk Education: A Worldview Analysis Of What Is Present And Could Be,
2015
University of Montana
Risk Education: A Worldview Analysis Of What Is Present And Could Be, Gale L. Russell
The Mathematics Enthusiast
Risk, risk analysis, risk management and risk-based decision-making are ubiquitous ideas in the modern world. Consequently, risk education is emerging as a new field of research. However, just as the defining of risk and what it entails is a contested topic, so too is the field of risk education research open to many possible approaches. In this paper notions of risk, particularly as they play out in research on risk education, are analyzed (within an ethical space) using a theoretical framework based on the Traditional Western and an Indigenous worldview. Through this analysis, along with the identification of the kinds …
Good Models And Good Representations Are A Support For Learners’ Risk Assessment,
2015
University of Montana
Good Models And Good Representations Are A Support For Learners’ Risk Assessment, Laura Martignon, Sebastian Kuntze
The Mathematics Enthusiast
When learners have to make sense of risky situations, they can use mathematical models and representations which facilitate successful risk assessment. Based on theoretical considerations on the benefits of specific models and specific representations in such contexts, we present empirical findings of a study which examined whether students use such models and representations in their risk assessment. We conclude that the availability of adequate models to learners may help them gain transparency when facing risks and thus foster their decision-making.
Risk And Decision Making: The “Logic” Of Probability,
2015
University of Montana
Risk And Decision Making: The “Logic” Of Probability, Manfred Borovcnik
The Mathematics Enthusiast
Risk is a hot topic. There is an international trend to use examples of risk or the concept of risk in the early teaching of probability. It enriches the problems, it widens the contexts, and it motivates the students to learn probability. This paper illustrates the notion of risk as a multi-faceted concept. The diverse perceptions start with language where risk is used in very different ways. The overlap of risk and hazard is not restricted to the technical context of safety and reliability; Knight’s seminal work on risk and uncertainty has its definite impact on today’s perception of the …
A Dialectical Invariant For Research In Mathematics Education,
2015
University of Montana
A Dialectical Invariant For Research In Mathematics Education, Mauro García Pupo, Juan E. Nápoles Valdes
The Mathematics Enthusiast
Many current problems in research in mathematics education emerge from pairs of contradictory dialectical categories. In effect, these pairs characterize the problems. When an epistemological study is made to determine the object of research in which a problem is immersed, it is possible to find essential pairs of dialectical categories that become more profound and thus provide enough elements for the determination of appropriate didactic actions to solve the problem under research.
