In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…

Over the past two decades, there have been calls to integrate Education for Sustainable Development (ESD) across all subjects in the primary and secondary curricula. However, researchers have argued that sustainability and mathematics education remain largely unconnected in actual classrooms. The question of what sustainable mathematics education…

Since there are no systematic pauses delimiting words in speech, the problem of word segmentation is formidable even for monolingual infants. We use computational modeling to assess whether word segmentation is substantially harder in a bilingual than a monolingual setting. Seven algorithms representing different cognitive approaches to…

A textbook is of a proper medium for conveying curricular values to students. The aim of this study is to examine how math textbooks reflect the core values stated in the curriculum. Selected by homogeneous sampling technique, the data sources of this qualitative study consisted of two (one official and one private) fifth-grade math textbooks. All…

In this article, we document the support provided by highly recognised journals in Mathematics Education in response to the challenges faced by English non-dominant language (EnDL) authors when they attempt to publish in English. To address this issue, we first conducted a synthesis of research literature related to those influences that direct…

This study examined the lived experiences of seven beginning secondary mathematics teachers in an upper Midwestern state who had experienced mentoring and remained in teaching. The study sought to identify the mentoring experiences beginning secondary mathematics teachers perceive as most beneficial to their professional growth. Data were…

In this paper, I propose an analysis of the structure of Clairaut's "Éléments de Géométrie" (1741), a book presenting geometrical knowledge organized around problems, with rich metadiscourse connecting problems and other elements of mathematical content. This analysis is inspired both by the "Series of problems at the crossroad of…

Teachers and caregivers use children's books (i.e., trade books) to support mathematics learning in school and home settings; shared book reading offers a unique opportunity to support students' understanding of operations and schema development. No prior studies have examined the representations of addition, subtraction, multiplication, and…

We explore the responses of 26 prospective elementary-school teachers to the claim "1/6.5 is not a fraction" asserted by a hypothetical classroom student. The data comprise scripted dialogues that depict how the participants envisioned a classroom discussion of this claim to evolve, as well as an accompanying commentary where they…

Purpose: The aim of this paper is to describe teachers' professional development in Lesson Study (LS) as processes situated in Semiosphere and generated by the unevenness due to different cultural traditions. The authors characterise teachers' professional development in two LS experiments as processes generating new knowledge to point out their…

Purpose: The purpose of this study is, First, to leverage the limitation of annotated data and to identify the cognitive level of learning objectives efficiently, this study adopts transfer learning by using word2vec and a bidirectional gated recurrent units (GRU) that can fully take into account the context and improves the classification of the…

An alignment of textbooks with their corresponding syllabuses contributes to effective learning. This study examined the alignment of the Ethiopian early grade (grades 1-4) mathematics textbooks (EEGMTB) with their corresponding syllabuses. Four early grade mathematics teachers at Halaba Zone of South Nations and Nationalities Peoples Reginal…

We are all fascinated by loops and their formation in space. When a line cuts itself, it forms an intersection point and creates a space. This is an experimental study done by analyzing several loops, forming a concrete formulation by visualizing the patterns observed, and then proving the formulations proposed using the known standard…

Maths anxiety is common and refers to feelings of anxiety, fear and other negative emotions and thoughts in individuals when confronted with mathematical tasks or numerical information. Self-report measures of maths anxiety have been created, but the majority are in English and are not culturally relevant to all countries. This study aimed to…

Accurately forecasting course enrollment rates in higher education is of great concern in order to minimize unnecessary administrative costs as well as burden to both students and faculty. This research aimed to first recreate course enrollment predictions based on a conditional probability analysis using student data from San Diego State…