This study investigates the analogies used by a sample of secondary mathematics teachers when they described the concept of function. The study is concerned with understanding what analogies were used by the participant teachers and conceptions of functions positioned in those analogies. Using examples from a set of responses to five open-ended…

Robust understanding of geometry is important for students' future studies in mathematical sciences, many careers, and for understanding the world around them. Therefore, the aim of this study was to understand the geometric thinking levels of 9th graders in Ghana before they enter the Senior High School. This study used the van Hiele theory (Van…

In this paper, we investigate the ways in which 15 year-old students conceive interrelated issues of randomness. We deal with these issues of randomness as a whole and not separately from each other, in contrast to the research so far. In order to analyse the students' ways we introduce a modification of Kyburg's Schema [(1974). "The logical…

"Instructional Sequence Matters, Grades 9-12" is the one-stop resource that will inspire you to reimagine your approach to high school physical science. The book discusses the 5E (Engage, Explore, Explain, Elaborate, and Evaluate) as a specific pathway for teaching and learning. It also shows how simple shifts in the way you arrange and…

Helping students understand that the scientific community's claims change through time, sometimes radically, allows them to develop a well-grounded sense of the "nature of science." Learning to reason about how scientific claims come to be accepted, and later refuted, is important for understanding the tentative nature of scientific…

The university aims to form professionals through transmission and dissemination of knowledge, therefore, the Extension, as a tool of the universities, has a major role contributing to improvements in the learning and teaching process. The Extension projects are extremely important for The Federal Technological University of Paraná (UTFPR), since…

When confronted with a challenging problem, many solvers may at first think that not enough information has been provided. If, however, they suspect that the problem is solvable, this feeling typically influences them to persevere as well as monitor and reflect on their efforts. In this article the authors present four nonroutine tasks that they…

In scientific arguments, claims must have meaning that extends beyond the immediate circumstances of an investigation. That is, claims must be generalised in some way. Therefore, teachers facilitating classroom argumentation must be prepared to support students' efforts to construct or criticise generalised claims. However, widely used…

Analogies are ubiquitous during instruction in science classrooms, yet research about the effectiveness of using analogies has produced mixed results. An aspect seldom studied is a model of instruction when using analogies. The few existing models for instruction with analogies have not often been examined quantitatively. The Teaching With…

This study investigates how two groups of bilingual algebra students reasoned about rate, slope, and linear functions during peer discussions. This investigation brings together and advances research that investigates issues at the intersection of collaborative learning, algebraic reasoning, and the use of mathematical discourse practices. A…

This study describes the analogical models and narratives used to introduce and teach Grade 9 chemical covalent compounds which are relatively abstract and difficult for students. We explained each model's development during the lessons and analyzed understanding students derived from these learning materials. In this context, achievement,…

According to a 2010 report by ACT, "Only 31 percent of students are performing at a college-and-career reading level with respect to successfully understanding complex text" (p. 5). This statistic demonstrates what educators know: Middle and high school students face numerous challenges in reading, understanding, connecting to, and…

The study aims to demonstrate evidence of (a) students' conceptual change on solution rates; (b) students' sub-microscopic explanations of dissolution; and (c) retention of the concepts of solution rates. The sample consists of 44 Grade 9 students (18 boys and 26 girls) drawn purposively from two different classes (22 each) in the city of Trabzon,…