This study investigates middle school students' reasoning about parallelism and perpendicularity of two line segments. Data were collected from 83 middle school students through an identification task consisting of various examples and non-examples of the parallelism and perpendicularity of two line segments. One-to-one interviews were also…

Teachers' mathematical knowledge has important consequences for the quality of the learning environment they create for their students to learn mathematics. Yet relatively little is known about how teachers reason proportionally, despite the fact that proportional reasoning is foundational for several mathematics concepts and that ratios and…

Covariational reasoning is a cognitive activity that attends to two or more varying quantities and how their changes are related to each other. Previous studies indicate that covariational reasoning seems to have levels. Content analysis was used to examine the pedagogy and development of covariational reasoning levels in the sections that…

Mechanistic reasoning is a powerful form of reasoning central to scientific explanations. Despite mechanistic reasoning being an important dimension of scientific practice and a central dimension of science curricula, students face difficulties in developing such type of reasoning. Many authors have been proposing tools for supporting its…

Identifying the knowledge resources teachers productively and unproductively draw upon can provide a means by which to create support structures to develop a more robust understanding of the content. To provide more informed grade-level support structures in teacher education programs, this study examined the knowledge resources 20 secondary…

Teachers exercising reflexivity through their internal conversations is one of the most important factors in the process of curriculum change. Drawing from Margaret Archer's theory, this research explores teachers' internal conversations in their own descriptions about a range of matters related to curriculum making. Eight secondary school…

This study aims to describe components and levels of upper secondary social science students' reasoning about social problems. We consulted conceptualizations of social scientific reasoning in sociology textbooks and social science education literature, analyzed student papers, and conducted focus groups with social science teachers and teacher…

In this article, the goal is to describe students' mathematical reasoning in the context of different settings of problem-solving tasks. The core of the tasks are real objects, which are presented to the students with the help of photos, a 3D model or in the environment itself. With reference to the experiential learning theory and relations to…

Adaptive comparative judgment (ACJ) has been widely used to evaluate classroom artifacts with reliability and validity. In the ACJ experience we examined, students were provided a pair of images related to backpack design. For each pair, students were required to select which image could help them ideate better. Then, they were prompted to provide…

We investigated how two didactical tools assist high school students in constructing knowledge about convergence and limits. The first tool is manual plotting of the terms of selected sequences, and the second, a technological applet. Student pairs worked in an interview setting on an activity designed for the purpose of this research. The…

Cosmology presents students with ideas that stimulate their curiosity and brings together various concepts from STEM that call on a variety of reasoning types across multiple representational modes, involving subtleties of spacetime relations, a variety of models and evidence requiring multiple lines of high precision observations. This study…

A key component of student mathematics achievement relates to the cognitive domains. This paper examines student mathematics achievement in three cognitive domains (knowledge, comprehension, reasoning) as per different achievement grades, across four years (2015, 2016, 2018, 2019), and by gender. This study used the Caribbean Secondary Education…

Experiential learning is fundamental to agricultural education. Current literature indicates some methods of pedagogically implementing experiential learning are more effective than others. The purpose of this study was to examine the effects of reflection type and abstraction order on content knowledge and content knowledge retention when…

Critical and analytical thinking skills are included in higher-order thinking skills which become the focus of educational goals in recent era. This study aimed to determine the relationship between critical and analytical thinking skills in ecology learning at senior high school in East Jakarta. This research was conducted from March to June…

An essential understanding of the uses and practices of algebra remain out of reach for many students. In this book, award-winning researcher Dr. Nicole Fonger addresses the issue of how to support all learners to experience algebra as meaningful. In a highly visual approach, the book details four research-based lenses with examples from 9th-grade…