This paper presents a methodological approach based on the use of complex networks to analyze the structure and content of curricula. We analyze the concept network built from the final year of a particular high school physics curriculum, as well as that of mathematics. We examine the most central nodes in each case, the community structures…

The work in this dissertation is presented in two parts. The first part (Chapters 3 and 4) details work relating to students' explanations of reaction mechanisms in organic chemistry. The second part (Chapters 5 and 6) details work relating to the evaluating the uptake of research-based instructional practices in introductory chemistry,…

There is a long tradition of teaching science through inquiry, with broad agreement about the form it should take. Students should investigate researchable questions; gather and analyse data; and develop and represent evidence-based claims. Authoritative teacher or textbook representations are generally used to guide this learning (Buckley &…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

This research explores how primary school teachers use games to enhance pupils' learning and development of conceptual knowledge. The study employs an illustrative case study design; data was collected through interviews with thirty (30) teachers who were selected using purposive sampling technique. Twenty teachers had some knowledge of game-based…

5E instructional model is commonly utilized in science teaching to promote conceptual learning. However, the benefit of 5E instructional model cannot be fully attained if the knowledge and skills essential to learning were not properly established from past. Similarly, the development of new concepts cannot be fully attained if the important…

Analysing graphs, formulating covariational relationships, and hypothesizing systems' behaviour have emerged as frequent objectives of contemporary research in physics education. As such, these studies aim to help students achieve these objectives. While a consensus has been reached on the cognitive benefits of emphasizing the structural domain of…

Reporting on a Grade 4 teaching and learning sequence, we highlight foundational constructs of measurement and data modelling which are fundamental to competence development in both science and mathematics. The sequence involved students generating and representing measures of their teacher's arm-span, with a focus on the invention and refinement…

Although graphs are used in both mathematics and science, there are disciplinary differences in the types of tasks, the terminology and the purpose for graphing. This can make it difficult for students to transfer their learning from one subject to the other. By examining the differences in how graphs are used, and the reasons for these…

The difficulties students have in blending mathematics and physics are here analyzed, by focusing on the issue of a convergent series. We present an experimental and a theoretical analysis of some phenomena which can be investigated employing series, as the bouncing marble and Zeno's paradox of Achilles and the turtle. Measurements were carried…

STEM education in elementary school is guided by the understanding that engineering represents the application of science and math concepts to make life better for people. The Engineering Design Process (EDP) guides the application of creative solutions to problems. Helping teachers understand how to apply the EDP to create lessons develops a…

Contemporary research has suggested that for students to compete globally, pedagogy must shift to emphasize the infusion of mathematics into science instruction to strengthen understanding. Innovative professional development programs are necessary to achieve this goal, particularly with respect to teaching graphing skills in the context of…

In 2016, analysts at Marzano Research identified a focused set of content for each K-12 grade level in English language arts (ELA), mathematics, and science called The Critical Concepts (Simms, 2016). Using a set of source standards that included the Common Core State Standards (CCSS; National Governors Association for Best Practices & Council…

Amid calls for integrating science, technology, engineering, and mathematics (iSTEM) in K-12 education, there is a pressing need to uncover productive methods of integration. Prior research has shown that increasing contextual linkages between science and mathematics is associated with student problem solving and conceptual understanding. However,…

Algebraic reasoning is an essential habit of mind for building conceptual knowledge in K-12 mathematics, yet little is known about how middle school mathematics teachers think about algebraic reasoning. In this article we describe a research project examining how algebraic reasoning was considered by grades 6, 7, or 8 mathematics teachers in a…