This paper reports on an intervention as part of which direction fields were introduced to students learning ordinary differential equations (ODEs). The intervention was designed and implemented to address issues with students' conceptions of the solutions of ODEs. These were identified by a diagnostic survey and through a review of the…

Precision education requires two equally important conditions: accurate predictions of academic performance based on early observations of the learning process and the availability of relevant educational intervention options. The field of learning analytics (LA) has made important contributions to the realisation of the first condition,…

This study aims to investigate the effects of the use of multiple geometry proof formats on Indonesian students' reading comprehension of geometry proof (RCGP). Four classes of prospective secondary mathematics teachers (N=125), aged 18 to 19 years, participated in this quasi-experimental study. While the experimental group was instructed in three…

Focusing on students with mild disabilities, this study aimed to examine the effect of STAR problem solving strategy on their a) solving change problems involving one-step addition and subtraction, b) maintaining their acquisition of solving change problems involving one-step addition and subtraction after 1, 3, and 5 weeks, c) generalizing their…

As a consequence of the COVID-19 pandemic and measures to secure public health, many processes have moved to the online space. The educational process is not an exception. Our main goal, which is presented in this article, was to re-design the educational process from face-to-face to distance learning in the Mathematics 1 course at the Technical…

Teacher-students interaction is one of the most important interactions in learning. Teacher-students interaction affects student understanding. However, in practice, there are still many lessons that have not applied teacher-students interaction properly. This study aimed to reveal teacherstudent interaction in the mathematics learning process…

A textbook model of a contagious disease, the dynamics of which are represented by the SIS epidemic model with saturating treatment, is considered. I show that this model, as originally formulated, is not dimensionally consistent. The model can be fixed by including a dimensional constant [alpha] of value one (with units individuals[superscript…

In the context of national collaborative efforts to increase the prevalence of active learning strategies in undergraduate precalculus and calculus classrooms, we discuss the context, strategy, and processes used at one university to create change within a mathematics department. We highlight the use of a unified active learning approach and the…

Netnography is a research procedure to analyse people inserted in digital communities applied, in this research, at Virtual University of the State of São Paulo, the first Brazilian public institution that offers only distance education. The aim of this paper is to know what happens in the course Calculus III, of the undergraduate in Physics, with…

In South Africa, limited studies have been conducted investigating responsive teaching and little is known about how teachers respond to unexpected events 'in the moment' that did not form part of their planning. In this article, we report how a Grade 9 novice and expert teacher responded to unexpected learner offers during the teaching of algebra…

The study was carried out with prospective teachers (PTs) in Primary School Teaching Program in a private university (n=43) and Middle School Mathematics Teaching program in a public university (n=46). In this paper, multiple-case study was adopted to explore PTs' opinions and to reveal the differences between two universities in terms of taking a…

Mastery-grading techniques such as mastery-based grading, specifications grading, and standards-based grading are assessment techniques professors are implementing in order to support a growth mindset of learning, decrease test anxiety, and help students develop a deeper understanding of course objectives. In this paper, we provide an analysis of…

Learning science in school means also learning to use some mathematics. For many students at secondary level, even those who demonstrate an interest in the subject, this aspect can prove problematic. This article seeks to learn from the pedagogical practice of mathematics educators and examine three ways in which ideas that are used in mathematics…

Teachers' confidence and facility with strategies that position and support students who are English learners (ELs) as active participants in middle grades mathematics classrooms are key to facilitating ELs' mathematics learning. The Visual Access to Mathematics (VAM) project developed and studied teacher professional development (PD) focused on…

Effective instructional strategies to improve mathematical problem solving skills are critically important to student success in both school-based and real-world mathematics tasks. This study reports effects of a Virtual-Representational-Abstract Integrated framework on the mathematical problem solving skills of three middle school students with…