Using the famous Birthday problem, we present here a practical activity that allows students to perceive the basic reasoning behind simulation and explore its potential. Through a playful approach with probabilities, students are led along a path that illustrates difficulties with intuition and introduces them to theoretical results for sample…

This article examines a common proportional reasoning problem used in schools, often referred to as the Orange Juice task. The authors show how these six strategies described by Nikula (e.g., Unitizing, Norming, etc.) and one additional strategy can be used to either solve or make progress in the Orange Juice task. The article presents work from…

Inductive reasoning is an essential tool for teaching mathematics to generate knowledge, solve problems, and make generalizations. However, little research has been done on inductive reasoning as it applies to teaching mathematical concepts in secondary school. Therefore, the study explores secondary school teachers' perceptions of inductive…

A common strategy parents use to justify their point of view during parent-child conflict is conventional reasoning, which focuses on child obedience to authority. In this brief report, we examined mothers' use of conventional justification during mother-child conflict discussions in relation to the resolution reached and children's behavior…

The implementation of Science, Technology, Engineering, and Mathematics (STEM) at school is one of the challenges of education in the twenty-first century, especially concerning the development of critical thinking during argumentative interactions. In this paper, I refer to an interdisciplinary approach with the aim to analyze the implicit…

The goal of this paper was to investigate the role of formal constraints (e.g. definitions, theorems) in geometric reasoning. Four students participated in a task-based interview including 2D Euclidean geometric locus problems. Data were obtained from observations, interviews, and video recordings and analyzed by Toulmin's argumentation model. The…

Motivated by often passingly brief textbook discussions of industrial capacitors, this study examines how students make sense of textbook descriptions to create an industrial rolled-up capacitor. A total of 37 junior-year students at a top high school in Beijing, China, participated in the study. The participants followed their textbook guidance…

In a diagnostic context of reasoning about instructional quality, scientific reasoning skills can be described as diagnostic activities, which require professional knowledge. Different approaches to enhance pre-service teachers' professional knowledge (PCK, CK, PK), as well as diagnostic activities exist. However, results about their effectiveness…

This article describes a teaching plan for a discussion-driven introduction to moral reasoning and explains its philosophical and pedagogical rationale. The teaching plan consists of a sequence of thought experiments that build on one another, and ends with participants addressing some morally complex, real-life issues. The plan rests on extensive…

The development and evaluation of valid assessments of scientific reasoning are an integral part of research in science education. In the present study, we used the linear logistic test model (LLTM) to analyze how item features related to text complexity and the presence of visual representations influence the overall item difficulty of an…

Teaching mathematics to students at the elementary level needs logical thinking, the students have to be encouraged to study hard to improve solving skills. The objective of this study is to improve the learner's problem solving skill in mathematics 2. This research aims to find out how the implementation of the visualize, represent and solve…

Mathematics concepts in early childhood education are often predictors later outcomes for student success, because mathematics is a foundational area of academics. The purpose of the research is to engage educators in conversations regarding experiential learning opportunities in early mathematics through curriculum planning and instructional…

Relational aspects of professional practice demand increasing attention in research on work and learning. However, little is known about how knowledge is enacted in practices where different people work together. Working in partnership with clients surfaces a number of epistemic demands, responses to which are poorly understood. This paper…

Attention to mathematical reasoning in curriculum standards is part of an international trend, but identifying and understanding reasoning continues to challenge teachers. We report on one component of an Australia-wide initiative supporting teachers to implement innovative pedagogies. This paper contains insights from design research that focused…

The formal acceptance of a mathematical proof is based on its logical correctness but, from a cognitive point of view, this form of acceptance is not always naturally associated with the feeling that the proof has necessarily proved the statement. This is the case, in particular, for proof by contradiction in geometry, which can be linked to a…