Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…

This study examines the behavior of individuals when two intuitive rules in their minds lead to two different outcomes concerning a problem. In the absence of the formal knowledge, intuitive rules can affect the mathematical thinking. Hence, studies have usually compared the correct answer of the related formal knowledge with the incorrect one…

Computational thinking (CT) is gaining attention in education as a part of digital literacy and can be addressed in several disciplines, including mathematics. Through the lens of Brennan and Resnick's framework, we investigated how computational concepts, practices, and perspectives can be addressed in upper-secondary statistics lessons using…

Achieving knowledge integration for deep learning requires students to construct well-connected knowledge structures by understanding and applying the central ideas of a concept. However, research on student learning in work and mechanical energy reveals persistent challenges in grasping fundamental concepts, particularly in connecting the…

Quadratics provide a foundational context for making sense of many important algebraic concepts, such as variables and parameters, nonlinear rates of change, and views of function. Yet researchers have highlighted students' difficulties in connecting such concepts. This in-depth qualitative study with two pairs of Year 10 (15 or 16-year-old)…

In this article, we explored Grade 11 learners' algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was followed. Thirty Grade 11 learners from a non-fee-paying secondary school in the Capricorn North district of South Africa were conveniently sampled to participate in this…

This dissertation examines the development of combinatorial reasoning in high school students through an in-depth analysis of a problem-solving session involving the Pizza Problem. The study, part of the long-term Rutgers-Kenilworth longitudinal research project, focuses on four 11th-grade students as they explore and connect concepts related to…

The study investigated the influence of a connected learning approach for explicit nature of science (NOS) instruction and explicit argumentation instruction, in comparison with a non-connected approach, on students' NOS conceptions and argumentation skills. Participants comprised 42 students enrolled in two sections of grade 10 that were randomly…

This study aimed to examine the influence of a culturally adapted and context-specific technique of instruction called the culturo-techno-contextual approach (CTCA) on lowering student anxiety and fostering meaningful learning in difficult biology concepts. A quasi-experimental pre-test and post-test non-equivalent group design was used for this…

Misconceptions hinder and challenge the learning of physics and science subjects in general. This study aimed to identify misconceptions in physics topics, namely gravity and force, and to overcome them through timely and appropriate interventions among ninth-grade students at Khuruthang Middle Secondary School in Punakha district, Bhutan. This…

Design-based learning is considered a powerful way to help students apply and develop understanding of science concepts, but research has shown that the success of this approach is not a given. Examining students' understanding of science concepts in various design-based learning contexts has thus continued to be an important field of research. To…

This study contributes to the call for influencing practice by increasing attention to how learning environments can be designed to support learning in statistical inference. We report on a design experiment in secondary school (students 14-16 years old), that resulted in a set of lessons with the learning goal of teaching students how to apply…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

Even though physical experiments are mandatory in science education, there has been an increasing demand for virtual experiments. This research aimed to investigate the impact of virtual experiments compared to physical experiments on students' conceptual understanding of chemical kinetics concepts. To achieve this, a two-phase explanatory…

Flashcards are with us from our very earliest learning experiences. As infants, we learn to speak words from flashcard pictures. As toddlers, we are introduced to vocabulary concepts and thinking skills with flashcards. In early learning experiences we learn facts, languages, associations, and even social skills. Flashcards remain highly prevalent…