Approximations of practice are opportunities for preservice teachers (PSTs) to engage in components of teaching. However, how the varying levels of complexity or authenticity of teaching create different learning opportunities for PSTs is underexplored. Forty-one studies related to approximations of mathematics teaching were reviewed to explore…

In this study, a technology-supported teaching module was designed to support the advancement of critical thinking as determined by Facione (1990). The lesson plans of the designed teaching module were applied to future mathematics teachers in primary schools. In the study, worksheets constitute teaching model applications lesson plans and it is…

In this article, we focus on how spatial knowledge can be articulated with the integration of programmable floor robots in the mathematics classroom. We describe the observation grid we conceived to take into account three distinct dimensions: spatial knowledge, robotics and computer programming. Then, we implement this tool to analyse mathematics…

This research aims to: (1) develop a feasible Android-based comic media of Gajah Mungkur Dam, and (2) reveal the effectiveness of the developed comic media in improving mathematical representation and critical thinking abilities on the materials of work and energy. The research subjects are senior high school students, consisting of 262 students…

This paper reflects on the outcome of lesson study in teaching the concept of algebraic equations utilizing quasi-variables. It also concurrently examines the integration of Ignatian values and social issues in learning the said concept. This study aimed to establish a culture of planning, collaboration, and reflection in developing the…

Reasoning about graphical representations representing dynamic data (e.g., distance changing over time), including interpreting, creating, changing, combining, and comparing graphs, can be considered a domain-specific operationalization of the general twenty-first century skills of creative, critical thinking and solving problems. This paper…

For prospective teachers (PTs) to engage in lifelong systematic learning, they must be prepared to analyze teaching on the basis of its effects on student learning. We present the results of an intervention study aimed at developing PTs' ability to analyze a classroom video sample. The intervention used an online discussion board activity…

Financial skills, like mathematical ones, must be built on a firm foundation. Whether one is putting money in a piggy bank or a 401(k), and purchasing a toy car or a real one, everyone needs the understanding of financial issues and math skills necessary for making sound decisions. The elementary classroom is the perfect place to introduce…

This descriptive study examines the elements of mathematical knowledge for teaching (MKT) that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children's literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates…

All students should be provided with opportunities to develop conceptual understanding prior to procedural fluency. To develop students' conceptual understanding, teachers must learn such skills as how to select, plan, and enact cognitively demanding tasks (CDT) and to evaluate evidence of student learning. Therefore, teachers need opportunities…

According to the National Center for Education Statistics (2016), the number of public school students in the United States who were English learners (ELs) was estimated at 4.5 million. However, in 2005, the national standardized testing scores (Fry 2007) show that about 51 percent of eighth-grade EL students were behind other students in reading…

Findings from recent studies suggest that students' pathways into mathematics-related careers begin as early as middle school when students are forming lasting self-perceptions of their academic abilities. Middle school is also a time when students begin making choices about future coursework in math, science, and technology that will have…

This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and…

"Talking Points: Discussion Activities in the Primary Classroom" encourages and supports classroom discussion on a range of topics, enabling children to develop the important life-skill of effective group communication. Children who can explain their own ideas and take account of the points of view and reasons of others are in the process of…

Thousands of years ago, mathematicians thought about numbers in terms of geometry. Numbers had shapes, and by thinking about the shapes, mathematicians could do a lot of things with numbers that are now recognized as algebra. This document contains a lesson plan for students to learn the relationship between numbers--all while developing algebraic…