The literature has amply shown that primary and secondary school students have difficulties in understanding rational number size. Many of these difficulties are explained by the natural number bias or the use of other incorrect reasoning such as gap thinking. However, in many studies, these types of reasoning have been inferred from comparing…

Probing children's understanding of science concepts has been a focus of research in science education since the 1980s. In the process of learning, learners often produce many conceptions that differ from established scientific knowledge, which are commonly labelled as alternative conceptions (ACs). Knowing these ACs, their prevalence, nature,…

Developing tools to identify students' misconceptions about basic biology concepts is necessary. Therefore, a two-tier diagnostic test was developed to determine such misconceptions in primary school (3rd-4th Grade) students. The test content includes two-tiered multiple-choice questions addressing common misconceptions found in the literature on…

Diagnostic assessments are intended to support teachers' instructional decision making by providing instructionally relevant information. In this article, we propose that using cognitive theories of learning to design diagnostic assessments can provide teachers with two diagnostic outcomes: (a) the location of a student's thinking within the…

The present study examined the ability of content domain (algebra, geometry, rational number, probability) to classify mathematics misconceptions. The study was conducted with 1,133 students in 53 algebra and geometry classes taught by 17 teachers from three high schools and one middle school across three school districts in a Midwestern state.…

Traditionally, teachers evaluate students' abilities via their total test scores. Recently, cognitive diagnostic models (CDMs) have begun to provide information about the presence or absence of students' skills or misconceptions. Nevertheless, CDMs are typically applied to tests with multiple-choice (MC) items, which provide less diagnostic…

Understanding students' misconceptions and how they change is an essential part of supporting students in their science learning. This paper presents results from distractor-driven multiple-choice assessments that target students' misconceptions about energy. Over 20,000 elementary, middle and high school students from across the U.S. participated…

People need the idea of transformation geometry in order to understand the nature and environment they live in. The teachers should provide learning environments towards perceptual understanding in symmetry training and development practice skills of the students. In order to make up such a learning environment, teachers should have information…

Many studies have shown that students at different age levels come into classrooms with a variety of alternative conceptions. Commonly held alternative conceptions are the main source of the difficulties that students and teachers face in learning and teaching. The aim of this study was to compare the conceptual understanding of students who were…

Studies on science education show that students have many misunderstandings and misconceptions related to chemistry concepts. Many techniques have been used to determine those misconceptions such as multiple choice tests, interviews, drawing, etc. Two-tier diagnostic test is one of these techniques for using to determine misconceptions and their…

In this study we explored to what extent middle school teachers were able to appropriately identify proportional situations when presented with various mathematical structures and if there were relationships between attributes of the teachers and their ability to identify proportional situations. Interestingly, there were no strong relationships…

Background: Studies have shown that students' knowledge of osmosis and diffusion and the concepts associated with these processes is often inaccurate. This is important to address, as these concepts not only provide the foundation for more advanced topics in biology and chemistry, but are also threaded throughout both state and national science…

In this study the authors set out to better understand the relationship between teacher knowledge of science and student learning. The authors administered identical multiple-choice assessment items both to teachers of middle school physical science and to their students throughout the school year. The authors found that teachers who have strong…

Student errors are springboards for analyzing, reasoning, and justifying. The mathematics education community recognizes the value of student errors, noting that "mistakes are seen not as dead ends but rather as potential avenues for learning." To induce specific errors and help students learn, choose tasks that might produce mistakes.…

Today's World is in period of rapid development of science and technology. There is science and technology education that not based on rote, practical on the basis of development in science and technology. Misconceptions are a major obstacle in order to take the desired efficiency. Because concepts that learned wrong obstacle attainment of right…