A language is a system of communication, consisting of a set of sounds or written symbols that enable people to communicate. In chemistry, a particular language is required in order to represent the phenomenological world by means of symbols. Choosing the right words and knowing the precise definitions for chemical concepts is needed for avoiding…

Online Professional Learning (PL) has become a fundamental modality of providing PL support to teachers. The online learning design is one of the characteristics linked to the course's effectiveness. This Educational Leadership Portfolio (ELP) aims to improve the quality of online professional learning courses by identifying the features of online…

Project-Based Learning (PBL) in middle school math classrooms is a topic that has not been well-researched, even though math scores in the United States have been declining. In a school district in the Southcentral United States, the local problem was that teacher buy-in for PBL in middle school math classes was unknown, as current literature…

The National Center for Rural Education Research Networks (NCRERN) was founded to expand the use of evidence-based decision-making in rural education. NCRERN partners with networks of rural school districts to generate and evaluate strategies for improving student outcomes. This brief describes trends in student absenteeism and the relationship…

This paper explores the ethics of the mathematics teacher, starting from the ethical obligations that all human being and professionals share towards those in their care. Most notably this involves a duty of care for students, since teachers can be the most influential persons after their parents. The ethics of mathematics teaching is analysed as…

Mastery-based testing is an assessment scheme that challenges students to provide complete solutions to problems derived from clear course concepts. Students are allowed multiple attempts to demonstrate mastery, which helps create a classroom environment where students value persistence toward thorough understanding. In this paper, we describe in…

Co-teaching is an instructional teaching model that provides an opportunity for students to receive instruction in the least restrictive environment. An extensive literature review was completed in order to identify best practices and effective co-teaching practices in mathematics classrooms. A clearly defined purpose for co-teaching and selecting…

In this work we critically examine a mnemonic designed for the pedagogy of first-order ordinary differential equations. The particular mnemonic takes the form of the SHIELDS acronym. We perform a critical analysis on mnemonics, outlining some of their benefits and limitations from the literature. As a result, we propose a general mnemonic model…

In this research, it has been intended to describe pre-service elementary teachers' arithmetical operation skills by handling in learning environments. Case study method was accepted in the research. 80 pre-service elementary teachers studying at a state university in Turkey constituted the study group. The data were obtained through asking four…

How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and…

Attention to mathematical reasoning in curriculum standards is part of an international trend, but identifying and understanding reasoning continues to challenge teachers. We report on one component of an Australia-wide initiative supporting teachers to implement innovative pedagogies. This paper contains insights from design research that focused…

Perseverance is vital for the process of learning mathematics with understanding. To do so, students must wrestle with obstacles and amend their problem-solving plan when necessary. I collected qualitative data to investigate the nature of perseverance for 11 ninth-grade algebra students working on a challenging task for which they affirmed…

The mathematical domain of fraction division continues to be an area of great difficulty for many teachers and preservice teachers (Lo and Luo, Journal for Mathematics Teacher Education 15:481-500, 2012; Newton, American Educational Research Journal 45:1080-1110, 2008; Rizvi and Lawson, International Education Journal 8(2):377-392, 2007; Young and…

Alignment between standards and assessments is acknowledged to be the key factor in a standard based education system. In Pakistan, standard based curriculum was adopted for secondary classes for the session 2012-13 onward and this study was conducted to explore the alignment between the secondary school mathematics curriculum and the assessments…

Explaining the complexity of mathematics teaching to others can be challenging. The Knowledge Quartet, a pedagogical content knowledge (PCK) framework from the UK, provides a fresh lens to reflect on mathematics classroom practice. Developed from videotaped mathematics lessons taught by final year pre-service teachers, the Knowledge Quartet…