This article discusses funky protractor tasks, which are designed to provide opportunities for students to reason about protractors and angle measure. These tasks afforded opportunities for students to think critically about angular measurement tools, which supported the teachers with valuable insights into students' developing conceptions of…

Nationally, there is a rise in students with multidimensional identities--as newcomers, emergent bilinguals, students of color, and/or those with disabled and neurodiverse identities--in schools who are disproportionately represented in intervention programs and lower-tracked mathematics pathways. This article leverages the incredible power that…

Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…

Computer-aided visualization provides meaningful insight into geography teaching, which helps improve comprehension. With dynamic geometry software (DGS), a teacher can easily create interactive mathematical learning materials. To fully benefit from DGS applied to subjects other than mathematics, their functionality must be extended with features…

This study examined problem posing situations of pre-service elementary mathematics teachers in dynamic geometry environment by using problem posing strategies. The qualitative method of multiple case study was applied and geometric concepts that participants used for each type of problem posing are examined. Eight participants from 3rd grade…

Calculus, as commonly taught, describes certain operations on explicit functions, but science relies on experimental data, which is inherently discrete. In the face of this disparity, how can we help students transition from lower-division mathematics courses to upper-division coursework in other STEM disciplines? We discuss here our efforts to…

In this study, we used an instructional package consisting of a constant time delay procedure with multiple exemplars to teach five elementary students with moderate intellectual disability to identify geometric shapes listed in their state's core content standards and included on their state's alternate assessment. In addition, we included four…

Middle school students are faced with a number of mathematical concepts that require new forms of reasoning. Although the shifts toward proportional and algebraic reasoning are often emphasized in middle school curricula, changes in the nature of geometric reasoning are not always given the same weight. As highlighted in "Catalyzing Change in…

Many students share a certain amount of discomfort when encountering proofs in geometry class for the first time. The logic and reasoning process behind proof writing, however, is a vital foundation for mathematical understanding that should not be overlooked. A clearly developed argument helps students organize their thoughts and make…

A small percent of high school students are performing above satisfactory on end-of-course assessments, especially in Algebra 1 and Geometry. This is indicative that mathematics instruction may need to improve. One innovation in mathematics instruction is the incorporation of storying as an instructional strategy, as there is considerable research…

The research this report belongs to aims at exploring the functional reasoning of high-school students from a covariation approach and proposing a framework to describe and predict the student's responses to modeling tasks in Dynamic Geometrical Situations. Items were designed for the students to build/construct the corresponding function guided…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

Since one of the main goals of teaching geometry is to provide students with the opportunity to develop spatial reasoning, it is important to find the most suitable support for learning 3D geometry in elementary school. This paper compares Information and Communication Technology (ICT) and physical manipulatives support, with the aim to answer if…

We re-examine a Malawian teacher's lessons which, using the framework of mathematic problem-solving developed by Polya, the typology of levels of task demand from Stein and colleagues and Malawi's description of learner-centred education (LCE), were described as teacher-centred and evaluated as 'not good'. We studied seven video-recorded circle…

Practical problem solving is not common in many mathematical classes in Malaysian upper secondary schools. Usually, students receive the mathematical concepts through abstract materials (students cannot see some of them in their daily life). Thus some students believe that 'mathematics is not necessary for human life'. In this article, the…