Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

This edited volume provides an extensive overview of the recent strides in global modelling education. It examines the interplay between modelling education and various dimensions of the educational landscape. Firstly, it delves deeply into the intersection of modelling education with interdisciplinary STEM education, teacher education, lesson…

No matter what path students pursue in postsecondary education and in life, they need to be able to problem-solve and think critically. The study of mathematics teaches skills and habits of mind that are an essential part of the formula for students to succeed in further studies and in their careers. Requiring all students, regardless of the…

The authors start from the premise that mathematical understanding and skills are fundamentally important in STEM education as they underpin the three other discplines of STEM. They describe how contextualised integrated STEM projects can bring mathematics into the foreground with digital technologies--such as Kitsi blocks. They outine a project…

Historical and current educational perspectives are epistemologically challenging to weave together. The contributors brought together in this book have risen to that challenge and, in the process, have produced a detailed and thorough account of the issues and processes at play. Science, Mathematics, and Technology (SMT) education is recognised…

This volume focuses on the implications of digital technologies for educators and educational decision makers that are not widely represented in the literature. The chapters contained in the volume are based on the presentations at the 2020 edition of the CELDA conference and cover multiple developments in the field such as deploying learning…

The 43rd meeting of Canadian Mathematics Education Study Group (CMESG) was held at St. Francis Xavier University in Antigonish, Nova Scotia (May 31-June 4, 2019). This meeting marked only the third time CMESG/GCEDM (Groupe Canadien d'Étude en Didactique des Mathématiques) had been held in Nova Scotia (1996, 2003), and the first time it had been…

Discusses the problem-solving heuristics of examining for special cases, utilizing dimensions to make sense of proposed solutions, and symmetry. Presents examples to illustrate the use of one or combinations of these heuristics. (MDH)

Presents a public-key cryptosystem application to introduce students to several topics in discrete mathematics. A computer algorithms using recursive methods is presented to solve a problem in which one person wants to send a coded message to a second person while keeping the message secret from a third person. (MDH)

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

Clarifies the meaning of writing across the curriculum and writing to learn mathematics, and describes formal and informal approaches for incorporating writing into the mathematics classroom. Concludes that writing in mathematics can identify math anxious students and help discover students' misconceptions. (11 references) (MDH)

This course is designed to review the arithmetic skills used by many Marines in the daily pursuance of their duties. It consists of six study units: (1) number systems and operations; (2) fractions and percents; (3) introduction to algebra; (4) units of measurement (considering both the metric and United States systems); (5) geometric forms; and…

Problem solving approaches often find a path from the givens to the unknown or from the unknown to the givens. This study explores those approaches using written protocols of Navy subjects while solving for the numerical value of an unknown from several knowns and a system of equations. For a subset of the items, solutions require subjects to…

This paper describes a method of understanding student problem-solving behavior during computer-assisted instruction using trigonometry as the example domain. Instead of attempting to model the student's process for solving problems, techniques which infer the equivalence between two adjacent steps in the student's process are used to determine…

Describes a study whose purpose was to develop and validate a set of belief scales for measuring secondary school and college students' beliefs about mathematics as a subject, how mathematics is learned, and mathematical problem solving. Provides an example of the "Indiana Mathematics Belief Scales." (MDH)