The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Mentoring has long been viewed as a powerful means of enhancing the professional success and personal wellbeing of early-career faculty; however, little is known about its benefits for senior faculty. Using data from a peer mentoring community of six senior faculty women in leadership roles at a research university, this study explores the impact…

Escape rooms are "live-action team-based games where players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal (usually escaping from the room) in a limited amount of time." Escape Rooms are one type of Escape Game, which are narrative-based challenges that use puzzles, tasks,…

Anthropomorphisms are widespread at all levels of the educational system even among science experts. This has led to a shift in how anthropomorphisms are viewed in science education, from a discussion of whether they should be allowed or avoided towards an interest in their role in supporting students' understanding of science. In this study we…

The radius of curvature formula is usually introduced in a university calculus course. Its proof is not included in most high school calculus courses and even some first-year university calculus courses because many students find the calculus used difficult (see Larson, Hostetler and Edwards, 2007, pp. 870- 872). Fortunately, there is an easier…

The purpose of this study was to investigate the flow of thought of the pre-service mathematics teachers through the answers of a function limit evaluation by formal definition. This study used a qualitative approach with descriptive method. The research subjects were the students of mathematics education department of Universitas Serang Raya,…

The present article highlights teacher paraphrasing, a response habit that can hinder student problem solving, authentic classroom dialogue, and promotion of a democratic classroom. Specifically, it discusses reasons teachers may have for paraphrasing student comments, along with potential impediments for student learning. Alternative response…

This article focuses mainly on two key mathematical processes (representation, and reasoning and proof). Firstly, we observed how teachers learn these processes and subsequently identify what and how to assess learners on the same processes. Secondly, we reviewed one teacher's attempt to facilitate the learning of the processes in his classroom.…

The NGSS MS-ETS1 Engineering Design (1-4) is the focus of the article. Development of a challenging problem-based activity that is an improvement over the traditional egg drop competition is emphasized. Quantification of data collected and real-world relevance are two activity components that are viewed as improvements over the egg drop. The…

The important role that metacognition plays as a predictor for student mathematical learning and for mathematical problem-solving, has been extensively documented. But only recently has attention turned to primary grades, and more research is needed at this level. The goals of this paper are threefold: (1) to present metacognitive framework during…

The research question was inquiring the undergraduates' perception of their professors' practice regarding whether they make use of the creative problem solving (CPS) as a competence for teaching. The study was performed in a public university located in the urban area of Merida City, Yucatan, Mexico, where a total of 247 undergraduates from the…

Fluorescence spectroscopy experiments are a frequently taught as part of upper-division teaching laboratories. To expose undergraduate students to an applied fluorescence technique, a corrosion detection method, using quenching, was adapted from authentic research for an instrumental analysis laboratory. In the experiment, students acquire…

Context-based learning aims to make learning more meaningful by raising meaningful problems. However, these types of problems often require reflection and thinking processes that are more complex and thus more difficult for students, putting high demands on students' problem-solving capabilities. In this paper, students' approaches when solving…

This study describes the problem solving behaviour of bilingual (German - Turkish) primary school students, their approaches and preferences while solving the word problems. Four different types of mathematical word problems (combinations, movement, subtraction and addiction) were given successively to four pupils (one girl and three boys) and…

Instrumental music practice has been conceived and investigated from the perspective of self-regulated learning (SRL), i.e. how students acquire the tools necessary to take control of their own learning. SRL processes depend on variables such as ways of studying (method), time invested in practice and behavioural and social/cultural factors. Thus,…