The main purpose of this study is to develop a conceptual understanding of the irrational number of the square root of 2 ([square root]2 ). Participants in the study were 20 ninth-grade male students. Activity Theory was used as a framework to show the development of the conceptual understanding. Since this study was conducted during the COVID-19…

This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…

The primary objective of the Remote Mentoring of Undergraduate Research Students (ReMentURS) workshop series is to design a remotely available professional development training that will provide rigorous research concept and skills introduction to incoming undergraduate research students. This pilot run eight-week remote learning workshop series…

The purpose of this study was to investigate what common errors and misconceptions about fractions exist among Saudi Arabian college students. Moreover, the study aimed at investigating the possible explanations for the existence of such misconceptions among students. A researcher developed mathematical test aimed at identifying common errors…

For almost all students, what happens when they push buttons on their calculators is essentially magic, and the techniques used are seemingly pure wizardry. In this article, the author draws back the curtain to expose some of the mathematics behind computational wizardry and introduces some fundamental ideas that are accessible to precalculus…

The purpose of this study was to use differential item functioning (DIF) and latent mixture model analyses to explore factors that explain performance differences on a large-scale mathematics assessment between examinees allowed to use a calculator or who were afforded item presentation accommodations versus those who did not receive the same…

New Jersey's urban students traditionally don't do well on the high stakes NJ High School Proficiency Assessment. Most current remedial mathematics curricula provide students with a plethora of problems like those traditionally found on the state test. This approach is not working. Finding better ways to teach our urban students may help close…

Presents strategies that utilize graphing calculators and computer software to help students understand the concept of minimizing the squared residuals to find the line of best fit. Includes directions for least-squares drawings using a variety of technologies. (DDR)

A grouping procedure which systematically combines objects to satisfy a criterion specified by the investigator and groups those objects that are most alike first is discussed. Two such methods that can be easily demonstrated in the classroom setting with the aid of electronic calculators are presented. (MN)

Introduces students to the study of dynamical systems through a number of learning activities that explore functions in general and linear and exponential functions in particular. Students use calculators to interpret graphs, find patterns in tables of data, and also use algebra. (DDR)

Results of a national survey to determine preferences and priorities for school mathematics in the 1980's are reported. Responses were obtained from samples of nine populations, including teachers, supervisors, and other professionals in mathematics education, plus principals, school board members, and PTA presidents. First-round surveys concerned…

Connections between science and mathematics are emphasized in a series of activities related to the heart. Worksheets designed for multiple grade levels investigate (1) How Big Is Your Heart? (levels K-2); (2) Every Beat of Your Heart (levels 3-4); (3) What's the Beat? (level 5-6), and Heartifacts (level 7-8). Extensions of the activities are…

A unit of study that introduces collecting, representing, describing, and interpreting data is presented. Suitable for students in grades 4 through 6, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to four class sessions and are grouped into three parts: "Introduction to Data…

Promoting ACademic Excellence in Mathematics and Science for Workers of the 21st Century (PACE) was a consortium project made up of Indiana University Northwest, the Gary Community Schools, and the Merrillville Community Schools. The focus of this project was to prepare teachers and curricula for Tech Prep mathematics and science courses for the…

A unit of study that introduces sorting and classification as a way of organizing data is presented. Suitable for students in grades 2 and 3, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to five class sessions and are grouped into three parts: "Introduction to Sorting"; "Sorting…