We describe how we used puppets as tools to draw 9 to 10-year-old students into conversations about probability. Puppets supported classroom discourse by putting forth probabilistic arguments for critique, introducing extreme and unusual examples of concepts, and introducing an element of surprise.

This study analyzes the relationship between the entry path to a degree and the prior statistical competence of students taking a Statistics and Probability course at an online university. We assessed students' prior knowledge by administering a pretest of the information covered in the course analyzed. The sample includes 108 students from…

State-wide tests are designed to measure student overall ability on grade-level standards. School leaders want fine-grained information on student performance to inform curriculum and instruction. One currently used target scoring method, which compares student scores to expected values is currently used to give this feedback to schools, but there…

The purpose of this article is to provide educators with resources to help students establish a deeper understanding of the application and role of statistical analysis within the design and innovation process. Quantitative analyses are often taught and applied through design activities, especially during testing or experimenting phases of design.…

Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of creating rich learning environments. With this study, it is aimed to examine the reflections of…

Stochastic independence is not an easy notion. Because it is part of the probability structure, it can have some surprising non-properties, which is beneficial for teachers and students to see illustrated. Neither is the relationship to causal independence an easy one.

The transition from the probability mass function for discrete random variables to the probability density function for continuous random variables is not straightforward, especially to students from the health and social sciences. An R Shiny application was created to assist the learning process of probability density function.

Statistics students' conceptions of the work of statisticians and the discipline of statistics may play an important role in the topics to which they attend and their interest in pursuing further study. To learn about students' conceptions, we collected open-ended survey responses from 44 undergraduate students who had completed introductory…

This study investigates preservice middle school mathematics teachers' understanding of statistics and probability and provides a cognitive diagnostic assessment of their strengths and weaknesses on these subjects. A statistical reasoning test that included 15 multiple-choice and 5 open-ended items was developed from the perspective of the…

Undergraduate students tend to struggle with probability in their introductory statistics course. Probability problem solving requires several steps. First, students must make sense of the probability scenario, then determine the appropriate probability rules, and finally, execute the procedures to solve the problem. With no previous exposure to…

Probability and chance are essential concepts, not just in statistics but in real life. We present an adaptable activity which investigates what we mean by bias, how we can identify bias, and how we can use it to our advantage!

The study presented in this article examined the impact of two simulation-based inference activities on students' understanding of p-values in a second undergraduate statistics course. In the study, students familiar with traditional inference methods used physical and computer simulations to estimate p-values. To examine students' conceptions…

The aim of this paper is to approach the teaching of the Poisson distribution in a friendly and amusing way. It constitutes a common practice to adopt the main probability distributions in order to predict results of sport events and to estimate the win return of betting activities (Chalikias 2009). In particular, by using the Poisson…

Aotearoa New Zealand is a super diverse nation in terms of the ethnicities of its people and languages spoken. With an increased rate of immigration from various parts of the world, the presence of multiple languages in many domains of social life is a reality. Consequently, classrooms are now places where learners have different linguistic and…

Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…