Teachers often use number talks at the beginning of class to hear the ways that students understand mathematical topics so that they can base future instruction on student thinking. Students who engage in number talks become accustomed to thinking about mathematics in multiple ways, sharing their thoughts and critiquing the thoughts of others. The…

Research shows that teachers influence students' attitudes towards; performance in; and perceptions of a subject. Hence, the need to improve the teaching and learning of many curricular subjects has been well documented for many years. This paper focusses on efforts made to develop competence among out-of-field teachers of mathematics and…

The purpose of this study was to determine if the 1- and 2-term retention rates for students with the same ACT mathematics subsection scores were different between students who took a regular section of Probability and Statistics and students who took a learning support section of the same course. The subjects of this study were 2,714 students…

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

Probability education has fast become a contested area, with curriculum authorities in some countries recently suspending its introduction until the post-primary years. In other countries, children as young as 7 years are introduced to informal probability concepts. These recent international shifts in practice have contributed to a paucity of…

In this paper, we give possible suggestions for a classroom lesson about an application of probability using basic mathematical notions. We will approach to some combinatoric results without using "induction", "polynomial identities" nor "generating functions", and will give a proof of the "Vandermonde…

This article reports on a pilot study that used concrete materials and TinkerPlots to support a Year 4 student's understanding of the big ideas of variation and expectation when investigating a random chance experiment using spinners.

This study employed design-based logistic regression to examine the extent to which attending a science, technology, engineering, and mathematics (STEM) magnet high school, school demographics, and student-level factors explain racial/ethnic differences in a student's intent to declare a STEM major in the first semester of college. Data were drawn…

This paper reports on a new initiative of collaborative work between the Australian Curriculum, Assessment and Reporting Authority (ACARA) and Cambridge University as part of the 2020-21 review of the Australian Curriculum: Mathematics Foundation -- Year 10. The ACARA mathematics curriculum development team worked with the Cambridge Mathematics…

We have extended two perspectives of proportional reasoning to solve problems based in probability. Four future middle grade teachers were enrolled in a mathematics content course that emphasized reasoning about multiplication with quantities. The course expected future teachers to generate and explain methods for solving proportions. Probability…

The development of Augmented Reality technologies has enabled students to learn in an environment that combines learning resources from the real and digital world. This paper integrates three mobile Augmented Reality-based applications into a series of mathematics lessons on probabilities in a junior high school. This paper aims to examine how…

Typical difficulties in learning probabilistic subjects are concerned with big data, complicated formulas and inconvenient figures in statistical analyses. The present research considers the usage of innovative teaching methods (e.g. electronic summary of lectures, presentations of lecture courses, task solution templates, electronic training…

Informal inference is a critical practice for students to engage in if they are to understand formal statistical methods. However, during informal inference students often utilize complex ideas that many in-service teachers are not prepared for as they have not had the opportunity to think deeply about statistics and develop statistical knowledge…

The article asks about the minimal number of persons required for achieving a probability 1/2 that (a.) At least two share a birthday, (b.) At least one shares the reader's birthday. A basic question about the necessary number of checks underlies both problems.

In this study we used an assessment tool evaluated in a previous study to identify students who were at-risk of not being successful in our introductory statistics course. We then required these students to attend peer tutoring, early in the semester, as an intervention. While we saw a significant increase in student success for all students in…