This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students' mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students' mathematical potential, quality…

Students often perceive mathematics as a challenging and abstract subject, leading to disengagement and anxiety. To address these challenges, educators have increasingly turned to math games as a pedagogical tool to make learning more interactive and enjoyable. This paper explores the potential of math games, particularly Bachet's game, as…

Attention to the disconnection between culture and mathematics has been addressed then and now (Wilder (in: Graves et al., Proceedings of the international congress of mathematicians, American Mathematical Society, 1950; Liu in Taiwan Journal of Mathematics Education, 8:79-88, 2021b). Recently, studies, workshops, and contests about an approach to…

The materials and artefacts used by teachers and students for learning mathematics have always had an important role in mathematics education. Key among such materials are textbooks and teacher guides. The study presented in this paper attempts to investigate the interaction between mathematics teachers and the teacher guide as well as its…

The aim of this paper is to analyse the reasoning and symbolisations used by sixth grade Moroccan students in solving a task based on figurative patterns. Our analysis aims at identifying the systems of actions elaborated by the students to give the general expression of the sequence, according to their perceptions of the sequence of its patterns.…

In this study, the elements of the design and results of the implementation of a Massive Open Online Course (MOOC) based on the problem solving and the use of digital technology are analyzed and discussed. The results show that the design of the activities, the intervention of the MOOC design team in the discussion forums and the interaction among…

This paper describes the development of an instructional sequence designed to allow students to reinvent the definition of sequence convergence in an introductory proof course. The sequence follows a heuristic of guided reinvention that encourages students to independently create their own mathematical definitions. This case study reports on how…

This thesis evaluates the curricula implemented in four mother-tongue based multilingual education programs in the Philippines, Thailand, East Timor, and Cameroon. The method for conducting research in this thesis is based on the five principles to enhance learning presented by the World Bank and the prism model developed by Thomas and Collier.…

This work outlines a model for creating momentum for active learning at the departmental level through a Community of Practice. This approach focuses on empowering members of the community by providing easy access to active learning tasks, pacing guide, and teaching tips for the course.

Background: Nowadays, the attention to integrate Science, Technology, Engineering and Mathematics (STEM) education to the existing curriculum is widely increasing around the world. In the early childhood education settings, many researchers have discussed the importance of early introduction to STEM education for children. However, the initiatives…

This research aims to develop valid and practical teaching materials for mathematics and science lesson PISA-based for junior high school students and to determine potential effects on students in scientific activity. Subjects of this study were students of Junior High School 9 Palembang (SMP Negeri 9 Palembang). The method used in this study is…

In an ethnomathematics-based program there exists the need for teachers to identify pedagogical actions in the form of teaching-learning practices. In this theoretical paper we outline a curriculum proposal based on D'Ambrosio's "Trivium," composed of "literacy," "matheracy," and "technoracy." The Trivium…

It has been argued that developing interactive learning environments that involve learners in integrating contextualized literacy experiences leads to more successful concept formation in young children. This study attempts to revisit Vygotsky's view of the dialectical relations between culture and individual psychological functioning as mutually…

This report describes the alignment of the Common Core State Standards to the math curriculum at DC Bilingual Elementary Charter School in Washington, D.C., which educates all students in English and Spanish. The alignment of the curriculum has been a multiyear, iterative process. School administrators, as well as the school's instructional…

The central role that tasks play in student learning has become clearer in the last decade. As a result of calls for a structured design process, task design has become one of the main fields of investigation in mathematics education. Here, we propose five design considerations (deciding on the mathematical content, choosing the context, deciding…