Fostering students' mathematical creativity is important for their understanding and success in mathematics courses as well as their persistence in STEM, but it necessitates intentional instructional actions, such as designing and implementing tasks that have the potential to foster creativity. As teaching innovation requires support for…

Background: When New York City's (NYC) Division of Early Childhood Education (DECE) enacted their historic expansion of free programming for four-year-olds under Pre-K for All, they designed a complex system of professional learning (PL) to support teachers and high-quality programming. This study, developed in partnership between NYU and DECE,…

Education 4.0 strongly promotes the development of communication, collaboration, critical thinking, and creativity (4C) skills among students. Consequently, it is crucial for mathematics teachers to integrate activities that facilitate the cultivation of these skills. However, the scarcity of resources, such as recommended instructional…

This paper describes a model of mathematics bianshi teaching using one problem with several solutions, changes, and applications in an inquiry-based classroom. Based on the model of mathematics bianshi teaching, the author discusses a class-room experience where one Chinese mathematics teacher takes a simple plane geometry problem to guide…

Mathematics learning in higher education today focuses on the need to enhance students' diverse creativity through learning process. To address this challenge, this study introduces the Differentiated Instruction based on Lateral Thinking Techniques (D-LTT) framework. It provides an overview of D-LTT, demonstrates its application in a numerical…

Creativity is crucial for doing mathematics, yet many United States students may not have opportunities to experience it in their courses. Moreover, the literature base on views of mathematical creativity lacks the student perspective. To explore the connections between views of and feeling creative, we examine differences in views of creativity…

Project-based learning (PJBL) emerges as an instructional teaching method promoting collaboration, critical thinking, and problem-solving skills among students. This pedagogical approach facilitates active engagement by forming student groups to collaboratively create and develop projects, thus, encouraging the exploration of diverse perspectives…

Most mathematicians state mathematics is a field of beauty, creativity, and innovation, yet what is echoed by students is not how mathematics allows students to explore, but rather the ways in which it constrains and does not necessitate creativity. In comparison, many students associate coding with freedom, and the ability to create and express…

Creative thinking in mathematics is an essential 21st Century skill that can be developed and encouraged through an exploration of mathematical concepts. In the context of the new "Australian Curriculum: Mathematics," this article explores the possibilities that are unlocked when students engage with tasks creatively in mathematics. By…

High school math projects center on solving real-world examples in a wide variety of situations that require a creative skill set. Creativity in high school mathematics takes place in a subtle form. In contrast, creativity presents itself conspicuously in art. Therefore, this paper will explore the utilization of polynomial equations in drawing…

A new visual representation for insight problems permits 22 new quantitative measures; which leads to a detailed diagnosis of a person's (or team's) creative weaknesses; which then leads to prescribing targeted, effective counter-techniques for each weakness. Currently, only two measures are consistently used for insight problem solving: the…

This paper reports on the development of six student teachers' knowledge of instructional strategies (KOIS) for teaching proportions during a 2-month practicum in China. Development of four subcomponents was explored through Content Representation (CoRe) questionnaires and follow-up interviews. Data was analysed deductively and levels of each…

This article presents reflections on a research that investigated processes operationalized by mathematical thoughts and practices which sought explanations for the ways of being of mathematical objects in their correlations in the socio-cultural context throughout our human history and how these ways of being they were captured, and still are, by…

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…

Debates about what constitutes a socially just education remain a central concern in these complex times. Embodied and creative practices in schooling offer a pedagogical approach that can respond to social justice within schooling and classrooms. This paper draws on pedagogies that utilise the body and creative practices as a method for engaging…