The purpose of this research was to explore South African Grade 11 learners' conceptual understanding of "image formation by lenses". The participants for this study were 70 Grade 11 learners from a selected senior secondary school in Mthatha, Eastern Cape Province, South Africa. The qualitative approach employed in the study made use of…

Past research in calculus education has shown that Riemann sum-based conceptions of the definite integral, such as the multiplicatively based summation (MBS) conception, can have important value in interpreting and making sense of certain types of definite integral expressions. However, additional research has shown that students tend to not draw…

This paper presents a critical analysis, from the point of view of a statistician, of the methodology used by Hattie in "Visible Learning," and explains why it must absolutely be called pseudoscience. We first discuss what appears to be the intentions of Hattie's approach. Then we describe the major mistakes in "Visible…

The expansion of English worldwide tends to be both seen and marketed uncritically, as a universally relevant lingua franca and medium of education. The post-1945 expansion of English was a deliberate policy of the US and UK governments, foreseen in a speech by Churchill. Elsewhere Churchill endorsed university academic freedom and autonomy, which…

Increasingly, science teachers are expected to devote instruction to technology and engineering, as encouraged by the Next Generation Science Standards (NGSS Lead States 2013). Just as scientific literacy requires understanding the nature of science (NOS), technological literacy must include understanding the philosophy and nature of technology…

Starting from Illich's identification of the compulsory schooling process with the rational initiation rite to the modern, free-market, society, the paper aims to detach the philosophical premises this expensive and unequal ritual is grounded in. After having referred to Van Gennep's conception of the rites of passage, we shall show that the…

In this article, attempts were made to examine students' thinking about the concepts of infinity and their ideas about transiting from finite to infinite states through the concept of limits of sequences. The participants included 78 senior high-school students ranging in age between 17 and 19 years old. The data were collected through a…

When doing experimental work of image formation by mirrors and (thin) lenses, it turns out again and again that students often have partially incorrect preconceptions about how the light emerging from an object passes through a lens and how the image is formed on a screen or directly in the eye. To check students' prior knowledge and help get a…

We started this work with the goal of detecting misconceptions held by our students about force and motion. A total of 341 students participated in this study by taking the force concept inventory (FCI) test both before and after receiving instructions about force or motion. The data from this study were analysed using different statistical…

For good science teaching, it is necessary to have knowledge of your students' preconceptions. Numerous studies have been conducted about typical ideas that students bring to the science classroom in science education research. Unfortunately the domains of which we know preconceptions are not distributed evenly and there is a lack of studies about…

Misconceptions are sometimes called "alternative conceptions" in acknowledgement of the fact that although these concepts are inaccurate, they are congruent with prior experiences. The idea that misconceptions must be addressed to improve learning is helpful to remember when developing a case study. Students will bring their existing…

Videos are often used for demonstration and evaluation, but a more productive approach would be using video to support teachers' ability to notice and interpret classroom interactions. That requires thinking carefully about the physical aspects of shooting video--where the camera is placed and how easily student interactions can be heard--as well…

It is well known that students of inferential statistics find the hypothetical, probabilistic reasoning used in hypothesis tests difficult to understand. Consequently, they will also have difficulties in understanding "p"-values. It is not unusual for these students to hold misconceptions about "p"-values that are difficult to…

In this chapter, we address several questions. How do the prior beliefs of students influence the way in which they process this information? Will students comprehend information with more or less success if it matches or does not match their prior beliefs? Under what circumstances might students change their beliefs? Do students change beliefs to…

Success in Algebra I often predicts whether or not a student will pursue higher levels of mathematics and science. However, many students enter algebra holding persistent misconceptions that are difficult to eliminate, thus, hindering their ability to succeed in algebra. One way to address these misconceptions is to implement worked-examples and…