Mathematical modelling has great potential to motivate students towards studying mathematics. This article discusses several different approaches to integrating research work with a second-year undergraduate, mathematical modelling subject. I found sourcing papers from the areas of epidemiology and ecology to be a fruitful source area,…

The relevance of the selected research topic arises from the numerous challenges encountered in the education of prospective mathematics teachers. The purpose of this research is to substantiate the advisability of using the case technology in the formation of information competence for the future teachers of mathematics in the process of their…

There is a broad consensus that beginning teachers of mathematics need a strong foundation in mathematical knowledge for teaching (MKT), defined as the mathematical knowledge required to recognize, understand, and respond to the mathematical work of teaching in which one must engage. One recurrent challenge in teacher education is how to provide…

Connecting university methods courses and teacher daily practice is a persistent challenge in teacher education. Another challenge is preparing teachers to enact equitable instruction that meets the needs of an increasingly diverse student population. We take on these challenges by supporting practicing elementary teachers to design case-based…

There is a broad consensus that beginning teachers of mathematics need a strong foundation in mathematical knowledge for teaching (MKT), defined as the mathematical knowledge required to recognize, understand, and respond to the mathematical work of teaching one must engage in. One recurrent challenge in teacher education is how to provide support…

The "Building a System of Tens Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation of specific mathematical…

In this 21st century, learners are required to be able to adapt to new challenges so that they can solve problems in the real world. This poses challenges in learning, especially online learning, which will continue to grow. This research aims to produce worksheets for prospective teachers using the Interactive Case-Based Learning (ICBL) model…

We discuss affordances and liabilities of using a storyboard to depict a written case of a teacher's dilemma that involves race, opportunity to learn, and student community. We rely on reflections by the teacher educator who authored the written case and later depicted it as a storyboard to use it with his preservice teachers (PSTs). The analysis…

The relevance of the research is due to the fact that the study of further mathematics in an engineering university provides the level of general education and general cultural development of students, and educational background in special disciplines for the subsequent professional tasks solution. At the same time, there are significant…

Recognizing the multiple interacting layers of pedagogical content knowledge, in this article, we present the findings from a study that examined the extent to which participation in case-based instruction about self-generated visual representations (VRs) supported special education pre-service teachers (N = 25) in enhancing their (a) knowledge of…

This case provides principals and principal licensure candidates an opportunity to delve into the nuances of supervising teachers in content areas, which may be unfamiliar, and to explore strategies for increasing knowledge about the structures and emphases of the "Common Core State Standards" (CCSS). The case presents issues related to…

The purpose of this study was to explore pre-service and in-service mathematics teachers' analyses of student learning in a video case of mathematics instruction via an online learning forum. The study was conducted in the context of three different mathematics methods courses in a 4-year college in the Midwestern United States. Twenty-six…

This article provides real life examples that can be used to explain statistical concepts. It does not attempt to be exhaustive, but rather, provide a few examples for selected concepts based on what students should know after taking a statistics course. (Contains 2 tables.)

"Help! I'm stuck!" How many times have you heard a student make a similar plea? What do you consider when deciding how to respond? What reasoning is most productive? As part of a large research project, the authors explored these questions with 131 prospective and practicing teachers and found patterns in their reasoning. They began their project…

Teachers can use census data to teach important mathematics content while addressing issues of social justice. The author describes activities that teach students to read and write large numbers, interpret census data and statistics, and apply algebraic concepts to describe U.S. population growth. Additional learning outcomes include applying…