Education Commons^™

The Impact Of Using Relevant Context On Student Comprehension And Attitude In A Collegiate Introductory Statistics Unit On Probability, Ryan F. Rzeszutko, Jennifer L. Petrie, Dwayne T. James

Dissertations

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a probability unit, in-class activities were designed to align with areas of interest for participants as identified by a student interest inventory. It was hypothesized that the use of relevant context would create a significant difference in the comprehension or attitude of students enrolled in an introductory statistics course …

Creating A Culturally Relevant Statistics Assignment On Z-Scores, Grace Pai

Publications and Research

Culturally relevant teaching or pedagogy has become increasingly popular both in practice and in research, but there are still few curricular resources for instructors to use, particularly for a college-level mathematics course. Departing from the question “relevant to whom,” this article illustrates how to design a statistics assignment on z-scores that is culturally relevant to students based on their prior experiences. Ultimately, the author shares design principles—which includes the importance of considering student trauma—that can be transferable to any statistics or quantitative analysis/reasoning class.

Teaching Statistics For Social Justice - An Autoethnographic Research Report, Sheffield L. Dacia, Sierra Brooks, Basil M. Conway, Ha Nguyen

Georgia Educational Researcher

The following autoethnography was completed by two graduate students at University A learning to enact teaching for social justice while building content underpinnings in statistics at University B. The authors present a research base for teaching for social justice followed by a description of their lesson, observations during enactment, and reflection of change in beliefs about teaching for social justice afterward. Findings in this study are shared from the authors’ personal perspectives through the enactment of teaching a lesson for social justice in an undergraduate statistics course at University B. Implications provide encouragement that the inclusion of social justice topics …

Supplemental Online Learning Tools (Solts) To Support Deaf And Hard Of Hearing Students In Introductory Statistics Courses, Jacqueline Mcclive, Keith Mousley, Carol E. Marchetti, David Simkins, Gary Blatto-Vallee, Jane Jackson, Sue Foster

Journal of Science Education for Students with Disabilities

Research in most Science, Technology, Engineering, and Mathematics (STEM) disciplines uses statistical methods. Thus as students develop into research scientists, introductory statistics serves as a gateway course. If students struggle to incorporate statistics into their knowledge base, they may be effectively kept from careers that rely on statistics. DHH students learn differently and thus may lag behind their hearing counterparts in mainstream classrooms. In part, a gap in language knowledge can impede the understanding of statistics topics. What is a variable? What does it mean to have a distribution? With sign language interpreters and other support services, many mainstream instructors …

Pisa 2018: Financial Literacy In Australia, Sue Thomson, Lisa De Bortoli, Catherine Underwood, Marina Schmid

OECD Programme for International Student Assessment (PISA) Australia

The Programme for International Student Assessment (PISA) 2018 is the seventh cycle of PISA since it was first conducted in 2000 and measures students’ skills in the core areas of reading literacy, mathematical literacy and scientific literacy. Since PISA 2012, financial literacy has been included as an additional optional assessment that accompanies the core assessments. In Australia, the financial literacy assessment is funded by the Australian Securities and Investment Commission. This report presents the results for the third assessment of financial literacy and focuses on the measurement of financial literacy for Australia as a whole and for different demographic groups, …

Teaching Business Statistics: Some Useful Relationships, Phil Rice, Chris Brune

Articles

The purpose of this paper is to suggest an instructional approach in the introductory business statistics course that utilizes relationships between separately introduced topics. The paper will explore three “useful relationships” that can assist classroom instruction: (1) the relationship between the simple arithmetic mean, the weighted arithmetic mean, and the expected value of a discrete probability distribution; (2) the relationship between the use of the multiplication rule to calculate the joint probability associated with two events, use of tree diagrams, and the use of the binomial and hypergeometric distributions; and (3) the relationship between the geometric mean and the compound …

Playfair's Introduction Of Bar And Pie Charts To Represent Data, Diana White, River Bond, Joshua Eastes, Negar Janani

Statistics and Probability

No abstract provided.

Representing And Interpreting Data From Playfair, Diana White, River Bond, Joshua Eastes, Negar Janani

Statistics and Probability

No abstract provided.

Seeing And Understanding Data, Beverly Wood, Charlotte Bolch

Statistics and Probability

No abstract provided.

Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall

Numeracy

David J. Hand. 2014. The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day (New York, NY: Scientific American/Farrar, Straus and Giroux) 288 pp. ISBN: 978-0374175344.

Lásló Mérő. 2018. The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events (New Haven, CT: Yale University Press) 288 pp. ISBN: 978-0300224153.

David Hand and Lásló Mérő both grapple with the occurrence of seemingly impossible events in these two popular science books. In this comparative review, I describe the two books, and explain why I prefer Hand's treatment of the impossible.

The Look Of Pedagogical Content Knowledge In Middle School Statistics, Dhimitraq Duni

Theses and Dissertations

In this study, I attempt to examine the nature of pedagogical content knowledge (Shulman, 1986) that teachers exhibit while observing computer-animated animations that bring up pedagogical issues in the classroom. In-service teachers were asked to view different animations and react to different prompts about the animations. Later, teachers were interviewed to prompt more discussion of pedagogical issues with the intention of clarifying their stance and their knowledge of pedagogy. The computer animations were utilized as a surrogate for classroom teaching, highlighting issues that could be otherwise overlooked during live teaching observation.

Why I Believe People Need Painting By Numbers, Jason Makansi

Numeracy

Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 978-0998425900.

This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale from utter nonsense …

Using School Choice To Connect To Mathematics Learning In A Statistics And Probability Course For K-8 Pre-Service Teachers, Ha Nguyen, Heidi Eisenreich

Georgia Educational Researcher

This pilot qualitative study explored K-8 pre-service teachers (PSTs)’ learning experience in a Statistics and Probability course and their ability to make connections between mathematics and their everyday lives when given opportunities to investigate mathematics through a social issue. Data from student surveys, assessments, and written reflections will be reported, analyzed, and discussed. The researchers also describe approaches and reflect upon experiences for PSTs while studying school choice voucher programs.

Students’ Interpretations Of Categorical Data Using Dynamic Graphical Representations, Adam Eide

Master's Theses and Doctoral Dissertations

Statistical association is an important concept in statistics. An exploratory study examined how students reason about statistical association utilizing graphical representations constructed with CODAP, a dynamic statistical graphing software. Task-based interviews were conducted with three 6th grade students prior to formal instruction. Students’ conceptions of a statistical relationship, proportional reasoning skill level, ability to interpret bivariate categorical graphs (particularly segmented bar graphs and two-way binned plots), and ability to identify association of two categorical variables were all investigated through interview tasks and responses to inquiry. Students were found to have developing proportional reasoning skills and struggled to correctly define and …

Quantifying Certainty: The P-Value, Dominic Klyve

Statistics and Probability

No abstract provided.

Using Visual Analogies To Teach Introductory Statistical Concepts, Jessica S. Ancker, Melissa D. Begg

Numeracy

Introductory statistical concepts are some of the most challenging to convey in quantitative literacy courses. Analogies supplemented by visual illustrations can be highly effective teaching tools. This literature review shows that to exploit the power of analogies, teachers must select analogies familiar to the audience, explicitly link the analog with the target concept, and avert misconceptions by explaining where the analogy fails. We provide guidance for instructors and a series of visual analogies for use in teaching medical and health statistics.

The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz

Journal of Humanistic Mathematics

Malaria has been humanity’s worst public health problem throughout recorded history. Mathematical methods are needed to understand which factors are relevant to the disease and to develop counter-measures against it. This article and the accompanying exercises provide examples of those methods for use in lower- or upper-level courses dealing with probability, statistics, or population modeling. These can be used to illustrate such concepts as correlation, causation, conditional probability, and independence. The article explains how the apparent link between sickle cell trait and resistance to malaria was first verified in Uganda using the chi-squared probability distribution. It goes on to explain …

Formative Evaluation Of A Web-Based Multimedia Intervention To Support Learning Of Statistics, Natalya Koehler, Ana-Paula Correia, Nimet Alpay, Carolyn Levally

All Faculty and Staff Scholarship

No abstract provided.

Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood

Lisa De Bortoli

The Programme for International Student Assessment (PISA) is an international comparative study of student achievement directed by the Organisation for Economic Co-operation and Development (OECD). PISA 2015 represents the sixth such study since PISA was first conducted in 2000. Seventy-two OECD countries or partner economies participated in PISA 2015. In Australia, PISA is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of PISA is to measure how well 15-year-olds, who are nearing the end of their compulsory schooling in most participating educational systems, …

Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood

OECD Programme for International Student Assessment (PISA) Australia

The Programme for International Student Assessment (PISA) is an international comparative study of student achievement directed by the Organisation for Economic Co-operation and Development (OECD). PISA 2015 represents the sixth such study since PISA was first conducted in 2000. Seventy-two OECD countries or partner economies participated in PISA 2015. In Australia, PISA is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of PISA is to measure how well 15-year-olds, who are nearing the end of their compulsory schooling in most participating educational systems, …

Addressing The Stem Challenge Through Targeted Teaching : What’S The Evidence?, Dianne Siemon

2009 - 2019 ACER Research Conferences

Numerous public reports are pointing to the critical importance of STEM (science, technology, engineering and mathematics) to Australia’s future, but the number of students studying STEM subjects in senior years is declining, and many students in the primary and middle years of schooling do not have access to the ways of thinking and learning needed to succeed in school mathematics. Research over the past 10 years has established the critical role of multiplicative thinking in building student knowledge and confidence at this level of schooling, but there is a need for an expanded, evidence-based learning and teaching framework to support …

Attitudes Toward Statistics Studies Among Students With Learning Disabilities, Orly Lipka, Itay Hess

Numeracy

This study aims to examine the effectiveness of a support course to change attitudes toward statistics studies of post-secondary students who were diagnosed with learning disabilities (LD) and/or Attention Deficit Hyperactivity Disorder (ADHD). The participants were 22 students in a support course that was provided over a single academic term on a weekly basis. The design of the study was according to 'Pre-Post' comparison. The effects on attitudes toward statistics were examined quantitatively and qualitatively to provide a comprehensive methodology for the research purposes. Results suggest that the weekly support course model that was taught simultaneously to the on-line course …

Gaiseing Into The New Guidelines, Robert Carver, Megan Mocko, Jeffrey Witmer, Beverly Wood

Publications

The first GAISE College Report came out in 2005. Over the past ten years our discipline has changed in many ways, including but not limited to what type of data is easily available, the technology that we use, as well as how we teach students. In this presentation we will briefly start with how the new GAISE 2016 guidelines and goals have changed, including the two new emphases of statistical thinking: giving students experience with multivariable thinking and with the investigative process. So how do you start to implement these new ideas? In this presentation, we will demonstrate an activity …

The Effect Of Robotics On Test Scores And Involvement In Stem Fields, Nicole Costa

Undergraduate Research

There is an under-representation of women in science, technology, engineering, and mathematics (STEM) fields that influences society’s perception of women’s abilities in mathematics and science. This study researches the implications of participation in robotics on girls’ achievement and perceptions. Specifically studying the population at the high school of Mount Saint Joseph Academy, it searches for a correlation between membership on the Firebirds Robotics Team and higher GPA scores, SAT scores, and likelihood of having a major in STEM. Data was collected on robotics and non-robotics alumni by using a survey. Various significance tests including t-tests, signed rank tests, and paired …

Effect Of An Interactive Component On Students' Conceptual Understanding Of Hypothesis Testing, Sarah Anne Inkpen

Walden Dissertations and Doctoral Studies

The Premier Technical College of Qatar (PTC-Q) has seen high failure rates among students taking a college statistics course. The students are English as a foreign language (EFL) learners in business studies and health sciences. Course delivery has involved conventional content/curriculum-centered instruction with minimal to no interactive components. The purpose of this quasi-experimental study was to assess the effectiveness of an interactive approach to teaching and learning statistics used in North America and the United Kingdom when used with EFL students in the Middle East. Guided by von Glasersfeld's constructivist framework, this study compared conceptual understanding between a convenience sample …

Analysis Of English Language Learner Student Reasoning About Measures Of Center And Variation: A Triangulation Of Quantitative And Qualitative Data, Lorena Galvan

Open Access Theses & Dissertations

The population of Spanish-speaking English Language Learner (ELL) students has been growing rapidly in the past 20 years. It has been estimated that by the year 2018, 1 out of 4 students in grades K-12 will be an ELL. There is a large body of research about assessment of Spanish-speaking ELL students in mathematics; however, there is little that focuses on statistics only. Statistics courses are frequently confused and/or classified under mathematics courses. However, students taking an introductory statistic course are required to know a new set of concepts, words and vocabulary that are not always used in mathematics courses. …

Secondary Mathematics Teachers’ Attitudes And Beliefs Toward Statistics: Developing An Initial Profile, Christina M. Zumbrun

Dissertations

Over the last several decades, mathematics education researchers have given increased attention to students’ and teachers’ attitudes and beliefs toward mathematics and statistics, but no work has been done that examines practicing secondary mathematics teachers’ (SMTs’) attitudes and beliefs towards statistics in light of the GAISE framework and the Common Core State Standards for Mathematics (CCSSM). This study begins to address this gap in the research by creating the Teacher Attitude and Beliefs toward Statistics Survey (TABSS), a synthesis of items taken from the Survey of Attitudes Toward Statistics (Schau, 2003), the Statistics Course Attitude Scale and newly developed items …

Ucsmp Teachers’ Perspectives When Using Graphing Calculators In Advanced Mathematics, Ilyas Karadeniz

USF Tampa Graduate Theses and Dissertations

Nowadays, technology plays a fundamental role in education, in general, and in mathematics education in particular. The graphing calculator has been an important technological tool in mathematics classrooms since its invention and introduction in 1985 by Casio. As graphing calculators provided so many uses, their contribution to the teaching and learning process has been investigated by many researchers who have shown the use of such technology can have a significant effect on improving mathematics teaching and learning.

Investigating the impact of graphing calculators on student learning is important. It is also essential to research teachers’ perspectives on how using graphing …

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

Implementing The Common Core’S Promise Of Bringing Statistical Curricula Into Line With Recommendations Of Nctm, Maa, & Gaise, Beverly Wood, Carl Clark

Publications

We plan to make a case for the necessity of GAISE-aligned college courses in order to prepare future teachers to teach in Common Core K-12 classrooms. Beginning with an overview of the parallel evolutions of Cobb/MAA suggestions - GAISE recommendations for teaching and NCTM process standards - Common Core mathematical practices, we will emphasize that we should be modeling what researchers continually conclude are best practices for teaching/learning across the K-16 continuum. We will provide some examples to illustrate classroom tasks that satisfy both GAISE and Common Core and hope to generate some discussion of other activities already used by …