Meaning Equivalence Reusable Learning Objects (MERLO) items are a new kind of didactical tool that can be designed by teachers and used in classes, in tasks aimed at engaging students in deep reasoning, exploring and arguing about mathematical concepts. The interactions across communities of mathematics teachers and educators in on-line…

This article presents a research apparatus for investigating and making sense of stories that emerge from feedback that mathematicians provide on students' proofs. Using the commognitive framework, the notion of "didactical discourse on proof" is developed as a lens for conceptualizing mathematicians' practice of feedback provision. The…

The aim of the study was to investigate the noticing skills of prospective teachers and teachers at schools. The study adopted the case study design. The participants of the study were selected voluntary basis via criterion sampling method, and were composed of 12 student teachers of Mathematics at the Elementary Mathematics Teaching program of a…

Historically, math education at the high school and introductory college levels has focused on computational skills. With the advancement of computational technologies, problemsolving and other higher-order thinking skills should become the focal point. This article discusses ways in which the University of Minnesota has integrated problem-solving…

Intuition is the first way humans get knowledge. A worker in making a traditional West Java house works using his experience to be able to determine how many building materials are needed to become a house. The roof of the house is one part that is quite complicated to determine the amount of wood needed. Workers using intuition based on…

This paper reports on a semester-long co-teaching investigation in which three mathematics teacher educators in the USA themselves enacted a co-plan/co-teach credentialing model in the context of a mathematics content course for future elementary teachers. The mathematics teacher educators sought to examine the co-planning practices for improving…

Poor mathematics self-efficacy (MSE) has been recorded among learners at all levels in Nigeria. The study reported on here sought to establish the efficacy of differentiated instruction (DI) in raising learners' MSE in inclusive settings. We also explored the differential effects of DI on the MSE of learners with dyscalculia, as well as on high-…

Life is a set of relationships in which countless factors interact and go on together. Each of the interacting factors is handled and used as a different discipline when the time comes. Depending on the spirit of the times and the structure of societies, the importance of some discipline areas may change and their place in the agenda may decline.…

In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…

The main problem for teachers working with students who have various disadvantages is that many of them lack extrinsic motivation and they can get discouraged very easily as they hate feeling less capable than their peers. As a film enthusiast, the author appllied and won an Education Innovation Teacher Challenge grant to run a film-related…

This paper is the result of a research done from the Socioepistemological Theory of Mathematics Education, perspective in which we enquire about the reasons to study trigonometric Fourier series in electrical engineering, and what historical and epistemological conditions can be considered to develop more profound meanings when this topic is…

The purpose of this study was to investigate how students perceived their engagement in an experiential learning project with a focus on financial literacy within general education mathematics courses (skills, knowledge, attitudes, and behaviors). Specifically, the researchers were looking to investigate whether the completion of a finance project…

In differential equations textbooks, the motion of a simple pendulum for small-amplitude oscillations is analyzed. This is due to the impossibility of expressing, in terms of simple elementary functions, the solutions of the nonlinear differential equation (NLDE) that models the pendulum, which is why the authors usually choose the linearized…

Purpose: The high incidence of mathematics anxiety and disengagement in mathematics points to poor student well-being in many mathematics classrooms. Poor well-being may arise in part from poor alignment between student values and classroom experiences. Yet, what student well-being is and how to support it within specific subjects is poorly…

Reflections are presented on the first time flipping of an introductory Ordinary Differential Equations course. Assessment results, student motivation, and student attitudes are compared between flipped and traditional learning pedagogies in this course over two terms at a small technical university in the northeast United States. Assessments and…