In this document, we search for and define an infinite limit of sequences that is correct and accepted by the mathematical experts, the final purpose of which is to analyze its phenomenology, in Freudenthal's sense. To make the choice, experts were consulted on two issues. The first one was not decisive because of the effect that the divergence…

Within a multitiered system of support (MTSS), students who struggle to learn mathematics often receive core instruction and supplemental intervention in different settings, with different teachers and different sets of curriculum materials, all of which can result in poor alignment. This curriculum crosswalk describes how three sets of materials…

This paper discusses a concept that we call "'m'-tile means," which are the arithmetic mean of data values that break a data set into "m"-1 equal parts. Studying "m"-tile means can engage students' critical thinking skills and demonstrate the concepts underlying commonly used measures of central tendency, and so they…

A professional development program in Salt Lake City aims to show math teachers what it's like to be in a math class oriented around discourse and inquiry. The effort, write Meghan Everette and Benjamin Shuldiner, is helping the teachers gain a sense efficacy in this critical but underutilized area of math instruction.

Teacher noticing, a situation-specific part of teachers' professional competence, has gained much importance in the past two decades. The construct is believed to play a crucial role in the transfer of knowledge and skills into professional teaching performance. However, there is little empirical evidence on how the length of teachers' teaching…

As states and districts seek to elevate learning and prepare more students for work in the digital future, they have not only a unique opportunity, but also an urgent imperative, to redesign high school math. This report examines an array of education policies that exert considerable influence on the math students learn and when they learn it,…

In this paper we explored primary school teachers preference for different game modes to support mathematics teaching and learning. Eighty-four teachers played digital and non-digital addition and subtraction games that were functionally equivalent during professional learning workshops. Most teachers indicated that they would be more likely to…

Teachers are often perplexed realizing students ending up with different understandings of the same lesson after attending the same class. This study investigates the use of Variation Theory as a pedagogical design tool in improving students' problem-solving skills in trigonometry. This action research utilizing the 'Learning Study' approach was…

This research uses Rasch model analysis to identify the reliability and separation index of an integrated mathematics test instrument with a cultural architecture structure in measuring students' mathematical thinking abilities. The study involved 357 students from six eighth-grade public junior high schools in Bima. The selection of schools was…

This research investigates access to senior school science and mathematics subjects offered in the final year of secondary schooling. Using data from the most populous Australian state of New South Wales, we examine whether stratification occurs in access to science and mathematics curricula. We find that the opportunity to study these subjects…

This dissertation explores the strategies of personalized learning through AI and its effectiveness, with a focus on third-grade mathematics education. The primary objective is to investigate how AI tools can tailor learning experiences to individual needs, particularly for students who struggle academically, and thereby help reduce educational…

This article describes the experiences of two Cree elementary school teachers who taught school mathematics through place-based education (PBE) in a Treaty 6 First Nations community in the Canadian prairie province of Saskatchewan. Using narrative inquiry, we discuss the teachers' understandings of Indigenizing school mathematics in relation to…

Mathematical problem-solving is a core content of primary school education. Therefore, it is necessary to provide all students with a meaningful way of acquisition of problem-solving skills. The objective of this research was to verify the effectiveness of a problem-solving routine based on the Pólya's model and the use of cognitive strategies…

This study aimed to develop a supplementary mathematics textbook on traditional game-based computational thinking for elementary school students. This textbook was developed using a research and development model consisting of five stages: analysis, design, development, implementation, and evaluation (ADDIE). The mathematical contexts of the…

Blind students exclusively use braille materials for teaching math. Teaching tools that assist blind students' motor and hearing nerves are essential for learning. This study was to describe learning mathematics outcomes for blind students after using teaching material for Android devices based on Newman's theory. This research was a case study of…