The ability to think creatively and self-regulated learning is very important in learning mathematics, in order to train students to develop their creativity. But in reality, mathematics learning that is currently happening has not been able to develop mathematical creative thinking skills and increase students' self-regulated learning. The…

The purpose of this paper is to provide a theoretical stance on integrating implementation and research. Implementation should be made integral to research because viewing research and implementation as an integrated whole is a more useful perspective for educational research and practice. A consequence of this position is a marked blurring of the…

This manuscript reports a collaborative self-study conducted by three teacher educators who carried out and discussed joint observations of mathematics instruction in preservice teachers' field experience classrooms. We investigated the teacher educator identities that influenced our perspectives on and interpretations of preservice teachers'…

Synthesis and diffusion of a pigment molecule can be simulated using deterministic equations in computer software. These lesson materials describe how tiger stripes emerge from manipulations in this code, and how students can engage in mathematical inquiry by exploring these reaction-diffusion equations.

In this paper, we extend the notion of noticing during the planning of a lesson to examine what and how teachers notice concerning the affordances of typical problems, such as examination-type or standard textbook questions. Teachers in examination-oriented educational systems generally use these types of problems to develop procedural skills.…

Supporting language in mathematics classrooms requires both curriculum material that follows language-responsive design principles and teaching practices that enact these principles with high instructional quality. This paper presents the analytic framework L-TRU, which was developed to assess language-responsive teaching practices quantitatively.…

The study of mathematical problem posing (MPP) from the perspective of a learning trajectory is a new and thriving research field. The latest Chinese Compulsory Mathematics Curriculum Standards stipulate the developmental requirements of students' MPP ability at three different stages: Grades 1-3, Grades 4-6, and Grades 7-9. However, in this…

In this note we describe the mathematics that emerges from the construction of an origami box. We first construct a simple origami box from two rectangular sheets and then discuss some of the mathematical questions that arise in the context of algebra, geometry and calculus.

This research proposes a didactic strategy to enrich the assimilation processes of the change of variable theorem in solving the definite integral. The theoretical foundations that support it are based on the contributions of social constructivism, problem solving, and treatment of theorems. The practical validation of the strategy is carried out…

Popularly used in marketing and business, gamification has been gaining interest in educational contexts for its potential to invigorate otherwise mundane or difficult processes. A gamified environment transfers motivational elements of games to learning activities thereby engaging learners in the learning task thus transforming dull classroom…

Introduction: In the reflective writing process, teachers make identification, information, explanation and evaluation activities (Spanneberg, 2009). It is thought that the scenarios written by the teacher candidates in order to teach a certain subject can give them an opportunity to think deeply. However, these teaching scenarios can be a…

Mistakes occur frequently in mathematics. Reframing mistakes into positive moments can be psychologically important in a student's educational journey. We investigated two tertiary math classes that explicitly valued mistakes through a pedagogical requirement called "productive failure". For a percentage of their grade, students…

In neoliberal times, accountability measures and high-stakes testing further contribute to differentiated outcomes for young people. The way that knowledge is conceptualised in tests regularly fails to recognise the embodied knowledge and abilities of many young people and instead students are positioned as passive receivers of knowledge. Students…

We provide insight into how multiple visual strategies can be used simultaneously to increase access to and success with challenging mathematics at the secondary level for students with learning disabilities. Drawing on a teaching philosophy based on recognising student strengths and needs, we argue the potential benefits of using visual…

This article illuminates how faculty translate professional development around contextualized math instruction into teaching practice, and offers practical recommendations for those embarking upon similar curricular reform efforts at community colleges.