Education 4.0 strongly promotes the development of communication, collaboration, critical thinking, and creativity (4C) skills among students. Consequently, it is crucial for mathematics teachers to integrate activities that facilitate the cultivation of these skills. However, the scarcity of resources, such as recommended instructional…

Disciplinary literacy involves reading, writing, speaking, listening, and thinking in the context of specific disciplines. Word sorts are a way for students to acquire and examine vital features of mathematics vocabulary as they process and organize new content-specific ideas. Addressing disciplinary literacy (i.e., literacy skills specific to…

Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…

This article aims to develop a framework for the characterisation of problem-posing activities. The framework links three theoretical constructs from research on problem posing, problem solving, and psychology: (1) problem posing as an activity of generating new or reformulating given problems, (2) emerging tasks on the spectrum between routine…

In this paper, I discuss the potential transformations to teach K-12 geometry topics with the technology of 3D Pens, which enabled 3D models to be created instantly via one's moving hands. I draw on an example of using constructionist learning activities with 3D Pens to teach young children, 'how tall is the triangle?'

Mathematical argumentation, justification, and proof are practices at the heart of mathematics. Yet mathematics teachers generally operate without clear definitions of these practices making it difficult to communicate expectations, decide what to accept or expect from students at different grade levels, and distinguish these activities from…

Build collective teacher efficacy and students' mathematical thinking using the Mathematics in a PLC at Work™ lesson-design process. This second edition of the popular "Mathematics Instruction and Tasks" book guides preK-12 teacher teams in ensuring improved mathematics achievement. Gain new and enhanced understanding of…

Lesson planning is a crucial component of effective mathematics instruction. However, existing lesson planning frameworks and design models do not explicitly foreground equity and inclusion within instructional planning which are necessary in teaching every student. The What-How-Who structure frames the planning process by foregrounding who the…

Flipped classroom, which is also known as "inverted classroom", is an instructional strategy and a type of blended learning. It reverses the traditional teaching and learning approach by delivering the instructional content, often by video, outside the classroom and filling the in-class with different activities such as discussion. Since…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

The way mathematics teaching and learning activities are presented to learners can make them hate or like the subject. The question of accomplishing the mathematics education of the learner from primary to post-secondary school levels is one which necessarily tasks, not only the teacher's stock of mathematical knowledge but also his skill, his…

The author showcases a number of readily available and affordable resources that may be used in mathematics classrooms to provide students with concrete learning experiences. Resources, alone, do not provide educational experiences unless they are accompanied by appropriate teaching to ensure rich and connected learning experiences.

As 2020 draws to a close, so does this first volume of Mathematics Teacher: "Learning and Teaching PK-12" ("MTLT"). Ascribing to a digital-first philosophy, the articles comprising this first volume included digital assets such as classroom videos, author introductions, and digital applications (e.g., Desmos apps) and addressed…

In order to solve word problems, students need to be able not just to read the words but comprehend what they mean. Paul Swan discusses three tiers of vocabulary that need to be included in the pedagogy of mathematics lessons and strategies for classroom practice.

In recent years, substantial resources have been invested in researching and describing the enactment of "core practices" of teaching in teacher education. This review of the literature examined more than 40 articles published between 2008 and August 2018 in an effort to determine how teacher educators are supporting teacher candidates…