The author, Sirin Budak, discusses how to model the problem of a frog climbing out of a well using piecewise functions and GeoGebra.

This paper presents a novel method for introductory teaching of the sample linear correlation coefficient from a bivariate dataset. Linear correlation is typically included in curriculums at the secondary and introductory tertiary levels of education. The method discussed herein can be used by educators in elementary courses at either of these…

Studying students' performance in learning differentiability is essential since it requires them to perform proceptual thinking. This case study research investigates students' proceptual thinking outcomes in learning the differentiability concept using Desmos Classroom Activities (DCA) based on the Three Worlds of Mathematics (TWM) framework. In…

Integration of content areas allows students to deepen and transfer knowledge. An area that allows for an organic integration of STEM content is through combining mathematics with science instruction. This paper describes how we integrated a lesson coupling flower structure with data representation in a Year 3 classroom. The lesson occurred over…

While the use of video recording as a method of data collection has helped researchers to resolve the challenge of capturing classroom interactions between teachers and students, it can be challenging for the researchers and teachers to make sense of the rich data collected. This paper describes an approach of analysing and visualising a language…

Clock Buddies is our favorite first-day-of-class activity. It starts as a nonthreatening icebreaker activity that helps students learn one another's names, but it soon asks students to find their own strategies for solving a real-world scheduling problem. Even highly math phobic students work with others and succeed. Students gain insight from…

Students often struggle with the relationship between mathematical graphs and the data they represent. To truly understand types of evolutionary selection, students need to be proficient with several different skills in math, science, and literacy contexts. With math, students must be able to identify variables, design appropriate graphs based on…

Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…

The idea of variation is a foundation of statistical reasoning, and many curriculum documents, including the "Australian Curriculum", include variation in the learning required for the primary years. In this paper, we consider the design of activities that can exemplify the idea of variation for young students and investigate how…

A classroom activity is presented, which can be used in teaching students statistics with an easily generated, large, real world data set. The activity consists of analyzing a video recording of an object. The colour data of the recorded object can then be used as a data set to explore variation in the data using graphs including histograms,…

Since many decisions in politics, economics, and social sciences are based on statistics, statistical literacy is a key component for an active citizen. Statistical skills and statistical reasoning can already be enhanced in primary school. Therefore, not only in Germany, statistics is an element of the primary-school curriculum, which usually…

Creating and interpreting visual displays of data is an important component of quantitative and scientific literacy. We examined a figure-analysis activity called "Figure of the Day" (FotD) and its impact on undergraduate biology students' figure creation skills. The treatment FotD activity required that students interpret a figure with…

This exercise helps instructors teach students how to perform a simple event study. The study tests to see if stocks earn abnormal returns when added to the S&P 500. Students select a random sample of stocks that were added to the index between January 2000 and July 2015. The accompanying spreadsheet calculates cumulative abnormal returns and…

This article encourages approaches that develop children's understandings of data representations. In particular, when children develope flexibility in their approaches to data representation and understanding, the same data can be represented in different ways. Flexible and adaptive use of representations is part of mathematics competence which…

Fitness trackers can provide primary students with exciting opportunities to calculate, measure time and distance, graph, make sense of data, and improve their activity levels. This article suggests ways to use fitness trackers in the classroom.