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…

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…

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…

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…

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,…

Literacy coaching has shown positive effects on teachers' instruction and on students' literacy growth, but research has demonstrated wide variation in literacy coaches' practice. However, previous research has not addressed the sensemaking processes that might underlie variation in coaching practice. Using interviews with seven literacy coaches,…

Learning about the Earth through geoscience education is important in order to make informed decisions about the future of the Earth. The aim of this study is to examine students' conceptual development on geoscience subjects based on inquiry-based learning. 7th grade students participated in this study. The researcher prepared lesson plans and…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

This study aims to develop, implement, and evaluate an instructional design model to enhance the pedagogical content knowledge (PCK) of physics student teachers. Model development is accomplished in five stages over two years: 1) problem identification, 2) preliminary identification of the product and design concepts, 3) preliminary theories and…

In this study, we aimed to develop an active play learning model to enhance cognitive thinking skills in elementary school students. We employed a qualitative research methodology, targeting health and physical education teachers from schools in Suphan Buri Province in Thailand. We collected data through individual surveys and indepth interviews…

In this article, the authors unveil the Trade Book Inquiry Design Model (IDM) blueprint. Anchored in a compelling question inspired by a trade book, the new blueprint is broken into two instructional blocks: "Reading and Comprehension" and "Living Social Studies." The inquiry template is designed to be instructionally efficient…

Prepare early childhood educators to teach all children in inclusive settings with the fourth edition of this bestselling guidebook--enhanced with new content, new topics, and more tools for planning effective instruction. Like the groundbreaking previous editions, this updated "Building Blocks" guide gives pre- and in-service teachers…