This study aims to explore how a research-informed product, a hypothetical learning trajectory (HLT), was implemented by a group of Shanghai teachers in mathematics classrooms and promoted by a researcher through a Chinese lesson study. The instruction informed by the HLT served as a boundary object to promote conversations between the researcher…

This study aimed to design a task in an everyday context to support high school students' exploration of the truth values of propositional conditionals and to understand their difficulties. The results showed that students could identify that the truth value of a propositional conditional is determined by two variables (the truth values of the…

Including systems thinking in science education helps students understand the complex global problems of the present era. The study aimed to trace and evaluate the system thinking (ST) skills in K-8 science curricula, with a focus on sustainability-related subjects and units. Firstly, the authors reviewed the related literature on the systems…

Metacognition has been a subject of considerable interest in school settings, particularly its implications on learning and performance in mathematics. While metacognition has been widely studied as a multi-faceted construct comprising of metacognitive knowledge, regulation and experiences in various combinations, few have examined these three…

Teachers lack effective curriculum-based instruments to assess their students' scientific competence that would provide information for modifying their inquiry instruction. The main purpose of this study was to develop and validate a Curriculum-Based Scientific Competence (CBSC) test to assess students' scientific competence in a 1-semester Grade…

This paper reports an intervention study in the teaching of fraction concepts at a village school in Hong Kong. The classes consisted of 60 Grade three students with different cultural backgrounds, including African, Chinese, Filipino, Korean, Nepalese, and Pakistani. The study represents one of the relatively few studies that investigate the…

When justifying a mathematical statement, textbooks often interweave several instances of justification, creating, what we term, "paths of justification." This study aims to characterize the paths of justification of mathematical statements that are offered in eight 7th grade Israeli mathematics textbooks. The study attended to context…

The Van Hiele model of geometric reasoning establishes five levels of development, from level 1 (visual) to level 5 (rigor). Despite the fact that this model has been deeply studied, there are few research works concerning the fifth level. However, there are some works that point out the interest of working with activities at this level to promote…

Inquiry as a strategy for science teaching has become widespread in the classroom and has various applications. But whether teachers are sufficiently trained to carry it out in pre-university classrooms would need to be determined. The objective of this study is to determine the inquiry knowledge of preservice primary teachers and their ability to…

This article presents a case study of two Grade 5 boys' argumentation concerning addition and subtraction of negative numbers while using an interactive tablet-based application simulating positive and negative tiles. We examine the properties of integers they conjectured, and the kinds of evidence and arguments they used to support their…

Mental brackets constitute an idiosyncratic use of brackets sometimes used to evaluate arithmetic expressions and are closely connected with students' structure sense. The relevant literature describes the use of mental brackets focusing on primary school students and in the context of arithmetic. Using 181 high school students' solutions to seven…

The present study aims to explore the effect of using dynamic mathematics software in a distance education environment on students' understanding of trigonometric functions. The sample of the study consists of 45 first-year students enrolled in two associate degree programs of a state university. In the research, the lessons in the experimental…

Previous research has shown that students form fragmented understandings about variability even after instruction and that these primitive notions function as obstacles to a robust understanding of variability. To investigate the effect of disruptions to students' primitive notions of variability, we examined undergraduate students' reasoning…

Multiple studies have been conducted regarding teachers' error-handling practices, and how errors can be treated as opportunities for learning, albeit in the context of whole-class discussions. The aim of the present research is to continue to investigate teachers' error-handling practices as they occur in different phases of maths lessons:…

Growing research evidence indicates student learning gains from guided representation construction/invention in school science and mathematics. In this inquiry approach, students address challenges around what features of a phenomenon/problem to attend to, what data to collect, how and why, and make collective judgments about multimodal accounts…