This article presents a curricular reasoning model developed based on research conducted with middle grades teachers as they planned, taught, and reflected on a geometric transformations unit. Teachers can use the model to become aware of their own curricular reasoning to make key mathematical decisions as they plan and teach their lessons. While…

Lesson plan templates are a frequent requirement in schools around the world. School administrators often choose a standard lesson plan style and require the consistent layout for all teachers of all grade levels and across all disciplines. Lesson planning, when done well, should be a guide for both teachers and administrators of the educational…

In this research, it is aimed at examining the opinions of the Social Studies teacher candidates about the Lesson Study Model carried out in the Teaching Practice course. The research was designed as a case study. The participant group of the research consists of three pre-service teachers selected by the criterion sampling method: the social…

This three-day lesson plan provides students with an introduction to reading topographic maps using multiple modalities. The goal is to give students a range of opportunities using different media to increase their map-reading skills. After hands-on modeling, a summative assessment provides students with the opportunity to put their topographic…

This article introduces eight instructional modules designed to create aha moments for students and help them gain clear insights on how geotechnical engineering principles are applied in the real world. Each module consists of (1) an interactive class demonstration using a physical model, (2) a whiteboard-style animation that provides the…

Discrete time models, one linear and one non-linear, are investigated, both with a herbivore species that consumes a basal food source species. Results are presented for coexistence of the species and to illustrate chaotic behaviour as parameters are varied in the non-linear model. The results indicate the benefit of fertilization in terms of the…

Statistical knowledge is required for students in a range of disciplines. However, there are limited educator resources that exist for applying statistics to solve real-world problems. This investigation provides one approach to teaching statistics using entrepreneurial-minded learning (as a way to connect real-world applications and value…

Nicolas Senior shows how EMC3 's Launch-Explore-Summarise/Review model for mathematics lesson structuring sets the conditions to get the most out of both dialogic and direct instruction. He argues that this model will help teachers walk the balance between order and chaos.

The aim of this study is to investigate the change of prospective mathematics teachers' pedagogical content knowledge (PCK) on the linear equation and slope subject based on the lesson plan development and implementation process based on the 4MAT model. The concept of PCK was discussed in three components as content knowledge, knowledge of student…

The present study, carried out in the context of a Teacher Professional Development (TPD) Program on mathematical modelling and digital technologies, focuses on how Italian mathematics teachers refer to digital technologies in designing their lessons and investigates to what extent the TPD program impacted the way by which teachers design their…

Learning progressions (LPs) are considered to have great potential to improve pedagogical practices. However, even with LPs, teachers may still be unaware of the barriers that keep students from progressing; many are struggling with essential pedagogical strategies to support students' progression. This study thus proposed an educative LP (ELP), a…

This paper studies the knowledge developed by a group of sixty-two pre-service primary teachers during a training session on the definition of a polygon and the mathematical practice of defining. We explore the knowledge developed by pre-service teachers when they carry out a series of training tasks oriented around the practice of defining with…

The COVID-19 pandemic disrupted education around the world, resulting in the implementation of different forms of remote instruction. The present study provided a description of one interesting and unique approach to providing such instruction by analyzing 144 language arts lessons designed and implemented by 61 distinguished and experienced…

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

This article presents an extension of the well-known TPACK model to describe the professional digital competencies of mathematics teachers. The extension leads to what we want to call MPC-model (Media-Pedagogy-Content) in the following. It additionally includes (1) the consideration of competencies instead of knowledge for a holistic description,…