Researchers point out that more educational research is needed to study students' understanding of trigonometric topics. The present research attempts to study a group of three high-achieving eleventh grade students' realization of trigonometric words and narratives associated with the sine function. The learning of the students was video recorded…

Mathematics is an important subject in senior high education as it forms the basis for most taught subjects. In Ghana, it is a common practice to find parents enrolling their children in private after-school mathematics tutorials. Teachers who teach after-school tutorials usually organize class after school hours or during the weekends for a fee.…

In this brief article, Peter, Larissa and Doug present a single-page scaffold that challenges us to think of the mathematical proficiencies in a whole new way. By thinking of the proficiencies as verbs, they can be seen as purposeful learner actions and offer clues as to what it might mean to be a mathematician.

Previous research demonstrated that some children inappropriately solve multiplicative missing-value word problems additively, while others inappropriately solve additive missing-value word problems multiplicatively. Besides lacking skills, children's preference for additive or multiplicative relations has been shown to contribute to those errors.…

The specialised uses of solid angles mean that they are quite unfamiliar quantities. This article, apart from making solid angles a little more familiar, brings out several topics of general interest, such as how units are interrelated and how equations depend on the choice of units. Although the steradian is commonly used as the unit for solid…

Arithmetic skills are without a doubt integral to a student's success or failure in first-semester general chemistry. The MUST (Math-Up Skills Test) is a powerful tool for assessing a student's arithmetic logic and therefore serves as a great predictor for at-risk students. Early math reviews at the start of the semester are thought to help…

Professional noticing is a specific set of skills that can be applied whether the teacher is in the process of formatively assessing or generally teaching a lesson. This article provides a framework for integrating professional noticing into teachers' practice as a means to support instructional decisions. An illustrative example is included based…

Teacher education is central to the development of the professional knowledge of pre-service teachers. The main goal of this paper is to reflect on the development that the analysis (done by a group of pre-service secondary teachers) of a set of tasks, based on elements related to domains of KTMT--"Knowledge for Teaching Mathematics with…

The purpose of this study is to investigate if information and communications technology (ICT) helps improve students' achievement in geometry regarding solids' nets. Our research compares the achievement of the students in the experimental group taught using our ICT intervention to students in the control group taught by traditional teaching…

In this exploratory study, I investigate the relationship between age, knowledge, and creativity in mathematics, by looking at to what extent does grade level, controlled for mathematical achievement, influence mathematical creativity and what characterizes the relationship between grade level, mathematical achievement and mathematical creativity.…

There is general agreement that young children are capable of accessing mathematical ideas and should be given the opportunity to do so in their early childhood educational settings. However, existing research has established a range of challenges for early childhood mathematics education; in particular, related to educators' confidence and…

Background/Context: Teachers face many different problems in teaching. Traditionally, research examines the complexity of teaching students and content by focusing on a teacher's physical space and influencing factors therein. While established conceptions of curricular enactment suggest that instructional materials shape both the intended and…

Mixed numbers and fraction in general have been a problem for students not only in understanding the concept of itself, but also in understanding the operation of it, such as addition. Thus, supporting students in learning addition of mixed numbers is needed. The aim of this study is to develop a local instructional theory and materials related to…

As educators, it is important for us to recognize that our assessment methods affect student attitudes. If we want students to learn from their mistakes and counteract a fixed-mindset of learning, perhaps we should look at what we incentivize in the classroom. Some professors are attempting to counteract math and test anxiety, poor STEM retention,…

As argumentation is an activity at the heart of mathematics, (not only) German school curricula request students to construct mathematical arguments, which get evaluated by teachers. However, it remains unclear which criteria teachers use to decide on a specific grade in a summative assessment setting. In this paper, we draw on two sources for…