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…

Background: The competencies for the 21st century are defined as a broad and interrelated system of knowledge, skills, values and attitudes enabling the full application of man in personal and professional life. Regarding the science education competencies combining science and scientific knowledge, as well as skills such as inquiry, critical…

Ripple Effects Mapping (REM) is a qualitative data analysis approach that combines mind mapping with inductive analysis to condense data obtained from group interviews. One benefit of REM is the ability to identify unintended outcomes, or "ripples," of the intervention of interest. Ripples are visually represented by a mind map created…

This study explored the potential relationship between multiple intelligences and academic majors declared by undergraduate business students in the largest college at a mid-size public university in the southeast. To determine these relationships, a quantitative study was performed using data collected electronically. The research questions in…

In this paper we make a case for 'Little Data', which is real-time, self-collected, idiosyncratic datasets maintained by individuals about themselves on myriad topics. We develop and offer a methodology for combining these messy, highly personal insights, to make deductive observations about collective practices. In testing this approach, we use…

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…

This article scrutinises one of the mainstream views of how one grows into responsible membership of society; the view based on Jürgen Habermas', Lawrence Kohlberg's and Jean Piaget's theories. Habermas praises Kohlberg's and Piaget's psychological theories and uses them as empirical sources crucial for his theoretical work. We argue that this…