This paper presents an assessment of the understanding of the decimal numeral system in students with Down Syndrome (DS). We followed a methodology based on a descriptive case study involving six students with DS. We used a framework of four constructs (counting, grouping, partitioning and numerical relationships) and five levels of thinking for…

Many standards documents and learning progressions recommend evolution learning in elementary grades. Given young children's interest in dinosaurs and other fossils, fossil investigations can provide a rich entry into evolutionary biology for young learners. Educational psychology literature has addressed children's reasoning about foundational…

The learning sciences community has made significant progress in understanding how people think and learn about complex systems. But less is known about how people make sense of the quantitative patterns and mathematical formalisms often used to study these systems. In this article, we make a case for attending to and supporting connections…

Representation is an important aspect of learners in building a relational understanding of mathematical concepts. But the ability of a mathematical representation of students in building relational understanding is still very limited. The purpose of this research is to description of mathematical representation of students who appear in building…

The structure of Russians' life course has never been studied in depth; the only exception is demographic studies regarding marital status and age at childbirth. Principles that define life trajectories should also be examined. The "adult" concept is one of a number of important concepts in the general structure of life planning. This…

Teaching responsive to the needs of students with learning disabilities (LD) can be provided through understanding students' conceptions and their ways of learning. The current research, as a case study based on qualitative design, aimed to investigate the conceptions of students with learning disabilities with regard to the different…

Pupils' conceptual change processes that have led to long-term changes in learning processes can be very challenging and interwoven with several issues. Meanwhile, school learning is often determined as fragmented, without providing connections to pupils' different life and societal contexts. In this study, Science, Technology, and Society (STS)…

This investigation is focused on possible links between the development of critical attitude and conceptual understanding. We conducted a fine grained analysis of five student teachers' critical and conceptual development during a one hour and a half interaction with an expert. This investigation completes a series of three previous studies…

Multi-digit subtraction is difficult for students to learn. The purpose of this study is to explore how second-grade students communicate their understanding of double-digit subtraction through the use of manipulatives/tools. This qualitative study reports on six case studies of second-grade students where clinical interviews were the main source…

The purpose of this paper is to provide another perspective on the problematic nature of the concept of skill and in particular a tendency to place a lower value on certain types of job in the service sector than those in other industries. Qualitative research was conducted in three service industries in Australia, comprising interviews with key…

Mathematicians use example generation to test and verify mathematical ideas; however, the processes through which undergraduates learn to productively generate examples are not well understood. We engaged calculus students in a teaching experiment designed to develop skills in productively generating examples to learn novel concepts. This article…

The object of this study is to determine the conceptual understanding that prospective Science teachers have relating "de Broglie: Matter waves" and to investigate the effect of the instruction performed, on the conceptual understanding. This study was performed at a state university located in the western part of Turkey, with the…

In recent years, researchers have shown an interest in understanding students' own ideas about basic chemical principles and guiding them through innovative ways to gain conceptual understanding where necessary. This research was a case study designed to assess 50 first year high school students' conceptual understanding about changes in matter,…

The amount of substance and its unit the mole is a basic concept in chemistry. However, previous research has shown that teaching and learning the concept are challenging tasks for both teachers and students. The purpose of this study was to pinpoint the problems which emerge in the teaching and learning process, and provide integrated suggestions…

It is widely accepted by the field of mathematics education that proof and reasoning should be integrated into students' mathematical experiences across all grades and across a breadth of content areas. However, studies have shown that both secondary students and teachers have encountered difficulties with learning and teaching geometry proofs. By…