In introductory math courses such as precalculus, students often have difficulty with assignments that require explanations or synthesizing knowledge. When students receive low scores on such assignments, instructors often wish to help students understand the material they struggled with. A common strategy is to allow the students to revise and…

Peter Liljedahl describes a Building Thinking Classrooms (BTC) framework that shows teachers how to set up a classroom that promotes thinking. BTC is divided into 4 toolkits. The first toolkit consists of thinking tasks, vertical non-permanent surfaces, and visibly random groups. The second pertains to defronting the classroom, giving thinking…

Calls to increase the number of STEM graduates on a global scale have created pressure on universities to graduate higher numbers of quality engineers. In response, many engineering and mathematics departments have begun to develop variations of calculus courses specifically for engineering majors. Using a mixed methods research design, we…

We investigate how an inquiry-oriented, dynamic, open-source calculus textbook shaped one college instructor's planning. We rely on Dietiker et al.'s [(2018). Research commentary: Curricular noticing: A framework to describe teachers' interactions with curriculum materials. "Journal for Research in Mathematics Education," 49(5), 521-532.…

This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…

Business Statistics is a required course for undergraduate business majors and presents significant challenges for students with weak quantitative and critical thinking skills. This paper shows that changing the pre-requisite for the Business Statistics course from Business Calculus to Probability and Statistics makes a significant positive…

Documents specifying a national mathematics curriculum for grades K-12 have recently been written in Israel. We focus on the calculus component for the highest of three matriculation bound levels, and specifically on the influence of research on this component. In addition to issues of content, we identify three principles that have led the…

A study was conducted considering a mathematics learning center as a figured world, that is, as a social space that is treated as if individuals within the space share certain meanings about the space and interactions within it (Holland et al., 1998) from the perspective of the undergraduate peer tutors employed in it (for the larger study, see…

In this paper, the authors question the value of a required calculus class for undergraduate business students. We use the tenets of Transfer of Learning theory along with the Theory of Formal Discipline to evaluate whether the value of calculus may be overstated. Using data from business faculty, students, and alumni, we look at the degree to…

In this paper we examine changes to the national calculus curriculum of South Korea, where mathematics performance often serves as the mark of academic excellence. We describe relevant cultural traditions of mathematics education in South Korea, including the history of curricular changes in calculus at the secondary level. We then investigate how…

The Calculus for Kids project was deliberately designed to use computers in the transformation of curriculum. The intervention used multi-media learning materials to assist teachers and Year 6 (aged 11-12 years) students understand the principles of integral calculus. They used Maple mathematics software to solve real-world problems using these…

Responsive instruction--or instruction that foregrounds and takes up the disciplinary substance of student thinking--is both a hallmark of recent STEM education reforms and challenging to enact. This kind of instruction may be especially challenging in instructional contexts that mandate or rely on curriculum with set, structured learning…

In this study, researchers design and implement an inquiry based multivariable calculus course in a university which aims at enhancing students' argumentation in rich mathematical discussions. This research aims to understand the characteristics of students' argumentation in activities involving proof constructions through mathematical…

This study was to design, develop, and investigate instructional units for freshmen with low academic achievement to learn before they study calculus. Because the concepts, skills, and theories of function are fundamental for the calculus course but the below average students were not familiar with the basic knowledge and ability in function when…

Diversity and differentiation within our classrooms, at all levels of education, is nowadays a fact. It has been one of the biggest challenges for educators to respond to the needs of all students in such a mixed-ability classroom. Teachers' inability to deal with students with different levels of readiness in a different way leads to school…